diff --git a/electrochemistry/lithium_ion_battery.ipynb b/electrochemistry/lithium_ion_battery.ipynb
index fcafc7c..f20d3e6 100644
--- a/electrochemistry/lithium_ion_battery.ipynb
+++ b/electrochemistry/lithium_ion_battery.ipynb
@@ -92,7 +92,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 11,
    "metadata": {
     "tags": []
    },
@@ -101,7 +101,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Runnning Cantera version: 2.6.0\n"
+      "Runnning Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -113,7 +113,7 @@
   },
   {
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-   "execution_count": 2,
+   "execution_count": 12,
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@@ -149,7 +149,7 @@
   },
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-   "execution_count": 3,
+   "execution_count": 13,
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@@ -187,7 +187,7 @@
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-   "execution_count": 4,
+   "execution_count": 14,
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@@ -225,7 +225,7 @@
   },
   {
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-   "execution_count": 5,
+   "execution_count": 15,
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@@ -245,7 +245,7 @@
   },
   {
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-   "execution_count": 6,
+   "execution_count": 16,
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@@ -296,14 +296,28 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "49 cell voltages calculated in 2.63e-01 seconds.\n"
+      "49 cell voltages calculated in 1.84e-01 seconds.\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_21244\\462783244.py:8: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
+      "  elyte.electric_potential = phi_l\n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_21244\\462783244.py:25: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
+      "  elde.electric_potential = phi_s\n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_21244\\462783244.py:26: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
+      "  elyte.electric_potential = phi_l\n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_21244\\3503167752.py:21: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
+      "  E_cell_kin[i] = phi_s_ca - phi_s_an\n"
      ]
     }
    ],
@@ -345,7 +359,7 @@
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+   "execution_count": 18,
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-      "49 cell voltages calculated in 1.30e-02 seconds.\n"
+      "49 cell voltages calculated in 7.00e-03 seconds.\n"
      ]
     }
    ],
@@ -1505,7 +1519,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
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+       "     <use xlink:href=\"#m39d13f9fee\" x=\"104.377055\" y=\"24.202918\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
+       "     <use xlink:href=\"#m39d13f9fee\" x=\"97.168984\" y=\"24.202918\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
+       "     <use xlink:href=\"#m39d13f9fee\" x=\"89.960914\" y=\"24.202918\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
+       "     <use xlink:href=\"#m39d13f9fee\" x=\"82.752843\" y=\"24.202918\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
+       "     <use xlink:href=\"#m39d13f9fee\" x=\"75.544773\" y=\"24.202918\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
@@ -2703,7 +2717,7 @@
        "    </g>\n",
        "    <g id=\"text_18\">\n",
        "     <!-- Thermodynamic -->\n",
-       "     <g transform=\"translate(356.25625 23.798438)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(356.25625 23.798438) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-54\" d=\"M -19 4666 \n",
        "L 3928 4666 \n",
@@ -2785,12 +2799,12 @@
        "L 348.25625 34.976563 \n",
        "\" style=\"fill: none\"/>\n",
        "     <g>\n",
-       "      <use xlink:href=\"#m245b24621b\" x=\"338.25625\" y=\"34.976563\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
+       "      <use xlink:href=\"#m39d13f9fee\" x=\"338.25625\" y=\"34.976563\" style=\"fill-opacity: 0; stroke: #ff0000\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_19\">\n",
        "     <!-- Kinetic -->\n",
-       "     <g transform=\"translate(356.25625 38.476563)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(356.25625 38.476563) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-4b\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -2820,7 +2834,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p3f291fd0e7\">\n",
+       "  <clipPath id=\"p821a14b91e\">\n",
        "   <rect x=\"57.885\" y=\"7.2\" width=\"388.515\" height=\"282.03\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -2893,7 +2907,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.6"
+   "version": "3.11.6"
   }
  },
  "nbformat": 4,
diff --git a/environment.yml b/environment.yml
index de4fc4e..87b31e0 100644
--- a/environment.yml
+++ b/environment.yml
@@ -10,3 +10,4 @@ dependencies:
   - coolprop
   - scikits.odes
   - python-graphviz
+  - ipywidgets
diff --git a/flames/flame_speed_with_convergence_analysis.ipynb b/flames/flame_speed_with_convergence_analysis.ipynb
index 2f17485..99142a2 100644
--- a/flames/flame_speed_with_convergence_analysis.ipynb
+++ b/flames/flame_speed_with_convergence_analysis.ipynb
@@ -41,14 +41,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Running Cantera Version: 2.6.0a4\n"
+      "Running Cantera Version: 3.0.0\n"
      ]
     }
    ],
@@ -73,7 +73,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -88,7 +88,7 @@
     "\n",
     "# Get the best of both ggplot and seaborn\n",
     "plt.style.use(\"ggplot\")\n",
-    "plt.style.use(\"seaborn-deep\")\n",
+    "plt.style.use(\"seaborn-v0_8-deep\")\n",
     "\n",
     "plt.rcParams[\"figure.autolayout\"] = True"
    ]
@@ -102,7 +102,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -252,7 +252,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -298,7 +298,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -325,7 +325,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -348,7 +348,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -368,7 +368,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 11,
    "metadata": {
     "scrolled": true
    },
@@ -382,15 +382,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.453\n",
+      "Take 10 timesteps     2.136e-05      5.455\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003649      4.427\n",
+      "Take 10 timesteps     0.0003649      4.425\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.624e-05      6.029\n",
+      "Take 10 timesteps     3.653e-05       5.86\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.468e-05      5.674\n",
+      "Take 10 timesteps     1.734e-05      6.005\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001333      4.122\n",
+      "Take 10 timesteps     0.0006666      4.488\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [9] point grid(s).\n",
@@ -405,19 +405,19 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.751\n",
+      "Take 10 timesteps     2.136e-05       5.75\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     4.055e-05      5.579\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.887e-05      5.946\n",
+      "Take 10 timesteps     2.887e-05      5.942\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.055e-05      6.111\n",
+      "Take 10 timesteps     2.055e-05      6.116\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001756      5.504\n",
+      "Take 10 timesteps     0.0001756      5.505\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.172e-05      6.773\n",
+      "Take 10 timesteps     1.041e-05      6.236\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003003      4.727\n",
+      "Take 10 timesteps     0.0004004      4.705\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [17] point grid(s).\n",
@@ -440,26 +440,26 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     0.0001096      5.738\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.601e-05      6.042\n",
+      "Take 10 timesteps     2.601e-05      6.025\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.943e-06      6.869\n",
+      "Take 10 timesteps     6.172e-06      6.598\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.909e-05      5.845\n",
+      "Take 10 timesteps     0.0001055      5.836\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.256e-06      6.569\n",
+      "Take 10 timesteps     6.256e-06      6.694\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001069      5.566\n",
+      "Take 10 timesteps     0.0001069      5.614\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001141       5.64\n",
+      "Take 10 timesteps     0.0001015      5.517\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     4.063e-05      5.512\n",
+      "Take 10 timesteps     2.709e-05      5.759\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001041      4.344\n",
+      "Take 10 timesteps     0.0006942      4.539\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [32] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 44.4700 cm/s\n",
+      "Current flame speed is is 44.6983 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -471,7 +471,7 @@
       "\n",
       "Problem solved on [32] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 44.4696 cm/s\n",
+      "Current flame speed is is 44.6978 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -482,12 +482,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.006\n",
+      "Take 10 timesteps     0.0001709      5.009\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [58] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 29.9762 cm/s\n",
+      "Current flame speed is is 30.3324 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -498,12 +498,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05       5.23\n",
+      "Take 10 timesteps     7.594e-05      5.215\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [105] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 39.7511 cm/s\n",
+      "Current flame speed is is 40.0036 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -517,10 +517,10 @@
       "\n",
       "Problem solved on [172] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 37.6618 cm/s\n",
-      "Fitted true_speed is 34.5698 ± 6.5149 cm/s (18.8%)\n",
+      "Current flame speed is is 37.8572 cm/s\n",
+      "Fitted true_speed is 34.8135 ± 6.4414 cm/s (18.5%)\n",
       "Estimated error in final calculation 3.6%\n",
-      "Estimated total error 22.4%\n"
+      "Estimated total error 22.1%\n"
      ]
     },
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       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 64 65 66 67 68 69 70 71 86 169 170 \n",
+      "    New points inserted after grid points 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 64 65 66 67 68 69 70 71 86 168 169 170 \n",
       "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NO NO2 O O2 OH T point 86 velocity \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [226] point grid(s).\n",
+      "Problem solved on [227] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 37.3130 cm/s\n",
-      "Fitted true_speed is 41.7019 ± 3.2857 cm/s (7.9%)\n",
-      "Estimated error in final calculation -6.3%\n",
-      "Estimated total error 14.2%\n"
+      "Current flame speed is is 37.4233 cm/s\n",
+      "Fitted true_speed is 41.7595 ± 3.3080 cm/s (7.9%)\n",
+      "Estimated error in final calculation -6.1%\n",
+      "Estimated total error 14.0%\n"
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       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 106 222 223 224 \n",
+      "    New points inserted after grid points 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 106 223 224 225 \n",
       "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NO NO2 O O2 OH T point 106 point 19 velocity \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [289] point grid(s).\n",
+      "Problem solved on [290] point grid(s).\n",
       "Iteration 7\n",
-      "Current flame speed is is 37.2613 cm/s\n",
-      "Fitted true_speed is 35.4841 ± 0.4509 cm/s (1.3%)\n",
-      "Estimated error in final calculation 4.2%\n",
-      "Estimated total error 5.5%\n"
+      "Current flame speed is is 37.3209 cm/s\n",
+      "Fitted true_speed is 35.4723 ± 0.4057 cm/s (1.1%)\n",
+      "Estimated error in final calculation 4.5%\n",
+      "Estimated total error 5.6%\n"
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       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 281 286 287 \n",
-      "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 NO NO2 O O2 OH T point 281 velocity \n",
+      "    New points inserted after grid points 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 282 287 288 \n",
+      "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 NO NO2 O O2 OH T point 282 velocity \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [369] point grid(s).\n",
+      "Problem solved on [370] point grid(s).\n",
       "Iteration 8\n",
-      "Current flame speed is is 37.2869 cm/s\n",
-      "Fitted true_speed is 36.8729 ± 0.2019 cm/s (0.5%)\n",
-      "Estimated error in final calculation 0.9%\n",
-      "Estimated total error 1.5%\n"
+      "Current flame speed is is 37.3178 cm/s\n",
+      "Fitted true_speed is 36.7537 ± 0.2120 cm/s (0.6%)\n",
+      "Estimated error in final calculation 1.3%\n",
+      "Estimated total error 1.9%\n"
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       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 36 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 191 357 \n",
-      "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 191 point 357 point 36 velocity \n",
+      "    New points inserted after grid points 36 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 191 \n",
+      "    to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 191 point 36 velocity \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
@@ -5280,10 +5346,10 @@
       "\n",
       "Problem solved on [463] point grid(s).\n",
       "Iteration 9\n",
-      "Current flame speed is is 37.3285 cm/s\n",
-      "Fitted true_speed is 37.3168 ± 0.0689 cm/s (0.2%)\n",
-      "Estimated error in final calculation -0.0%\n",
-      "Estimated total error 0.2%\n"
+      "Current flame speed is is 37.3443 cm/s\n",
+      "Fitted true_speed is 37.2361 ± 0.0819 cm/s (0.2%)\n",
+      "Estimated error in final calculation 0.2%\n",
+      "Estimated total error 0.4%\n"
      ]
     },
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       "\n",
       "Problem solved on [604] point grid(s).\n",
       "Iteration 10\n",
-      "Current flame speed is is 37.3766 cm/s\n",
-      "Fitted true_speed is 37.4722 ± 0.0268 cm/s (0.1%)\n",
-      "Estimated error in final calculation -0.3%\n",
-      "Estimated total error 0.4%\n"
+      "Current flame speed is is 37.3846 cm/s\n",
+      "Fitted true_speed is 37.4287 ± 0.0363 cm/s (0.1%)\n",
+      "Estimated error in final calculation -0.2%\n",
+      "Estimated total error 0.3%\n"
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       "\n",
       "Problem solved on [828] point grid(s).\n",
       "Iteration 11\n",
-      "Current flame speed is is 37.4063 cm/s\n",
-      "Fitted true_speed is 37.5065 ± 0.0072 cm/s (0.0%)\n",
-      "Estimated error in final calculation -0.3%\n",
-      "Estimated total error 0.3%\n"
+      "Current flame speed is is 37.4105 cm/s\n",
+      "Fitted true_speed is 37.4873 ± 0.0084 cm/s (0.0%)\n",
+      "Estimated error in final calculation -0.2%\n",
+      "Estimated total error 0.2%\n"
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       "\n",
       "Problem solved on [1077] point grid(s).\n",
       "Iteration 12\n",
-      "Current flame speed is is 37.4438 cm/s\n",
-      "Fitted true_speed is 37.5224 ± 0.0112 cm/s (0.0%)\n",
+      "Current flame speed is is 37.4467 cm/s\n",
+      "Fitted true_speed is 37.5145 ± 0.0121 cm/s (0.0%)\n",
       "Estimated error in final calculation -0.2%\n",
-      "Estimated total error 0.3%\n"
+      "Estimated total error 0.2%\n"
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       "\n",
       "Problem solved on [1078] point grid(s).\n",
       "Iteration 13\n",
-      "Current flame speed is is 37.4470 cm/s\n",
-      "Fitted true_speed is 37.5311 ± 0.0161 cm/s (0.0%)\n",
+      "Current flame speed is is 37.4498 cm/s\n",
+      "Fitted true_speed is 37.5275 ± 0.0169 cm/s (0.0%)\n",
       "Estimated error in final calculation -0.2%\n",
       "Estimated total error 0.3%\n"
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   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fitted true_speed is 37.5311 ± 0.0161 cm/s (0.0%)\n",
+      "Fitted true_speed is 37.5275 ± 0.0169 cm/s (0.0%)\n",
       "Estimated error in final calculation -0.2%\n",
       "Estimated total error 0.3%\n"
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     {
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+   "execution_count": 13,
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@@ -13118,7 +13185,7 @@
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   {
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-   "execution_count": 11,
+   "execution_count": 14,
    "metadata": {},
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     {
@@ -13126,70 +13193,70 @@
      "output_type": "stream",
      "text": [
       "[32, 32, 58, 105]\n",
-      "Fitted true_speed is 31.1041 ± 8.6223 cm/s (27.7%)\n",
-      "Estimated error in final calculation 11.7%\n",
-      "Estimated total error 39.5%\n",
-      "Actual extrapolated error (with hindsight) 17.1%\n",
-      "Actual raw error (with hindsight) 5.9%\n",
+      "Fitted true_speed is 31.4318 ± 8.5377 cm/s (27.2%)\n",
+      "Estimated error in final calculation 11.5%\n",
+      "Estimated total error 38.7%\n",
+      "Actual extrapolated error (with hindsight) 16.2%\n",
+      "Actual raw error (with hindsight) 6.6%\n",
       "\n",
       "[32, 32, 58, 105, 172]\n",
-      "Fitted true_speed is 34.5698 ± 6.5149 cm/s (18.8%)\n",
+      "Fitted true_speed is 34.8135 ± 6.4414 cm/s (18.5%)\n",
       "Estimated error in final calculation 3.6%\n",
-      "Estimated total error 22.4%\n",
-      "Actual extrapolated error (with hindsight) 7.9%\n",
-      "Actual raw error (with hindsight) 0.3%\n",
+      "Estimated total error 22.1%\n",
+      "Actual extrapolated error (with hindsight) 7.2%\n",
+      "Actual raw error (with hindsight) 0.9%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226]\n",
-      "Fitted true_speed is 41.7019 ± 3.2857 cm/s (7.9%)\n",
-      "Estimated error in final calculation -6.3%\n",
-      "Estimated total error 14.2%\n",
-      "Actual extrapolated error (with hindsight) 11.1%\n",
-      "Actual raw error (with hindsight) 0.6%\n",
+      "[32, 32, 58, 105, 172, 227]\n",
+      "Fitted true_speed is 41.7595 ± 3.3080 cm/s (7.9%)\n",
+      "Estimated error in final calculation -6.1%\n",
+      "Estimated total error 14.0%\n",
+      "Actual extrapolated error (with hindsight) 11.3%\n",
+      "Actual raw error (with hindsight) 0.3%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289]\n",
-      "Fitted true_speed is 35.4841 ± 0.4509 cm/s (1.3%)\n",
-      "Estimated error in final calculation 4.2%\n",
-      "Estimated total error 5.5%\n",
+      "[32, 32, 58, 105, 172, 227, 290]\n",
+      "Fitted true_speed is 35.4723 ± 0.4057 cm/s (1.1%)\n",
+      "Estimated error in final calculation 4.5%\n",
+      "Estimated total error 5.6%\n",
       "Actual extrapolated error (with hindsight) 5.5%\n",
-      "Actual raw error (with hindsight) 0.7%\n",
+      "Actual raw error (with hindsight) 0.6%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369]\n",
-      "Fitted true_speed is 36.8729 ± 0.2019 cm/s (0.5%)\n",
-      "Estimated error in final calculation 0.9%\n",
-      "Estimated total error 1.5%\n",
-      "Actual extrapolated error (with hindsight) 1.8%\n",
-      "Actual raw error (with hindsight) 0.7%\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370]\n",
+      "Fitted true_speed is 36.7537 ± 0.2120 cm/s (0.6%)\n",
+      "Estimated error in final calculation 1.3%\n",
+      "Estimated total error 1.9%\n",
+      "Actual extrapolated error (with hindsight) 2.1%\n",
+      "Actual raw error (with hindsight) 0.6%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369, 463]\n",
-      "Fitted true_speed is 37.3168 ± 0.0689 cm/s (0.2%)\n",
-      "Estimated error in final calculation -0.0%\n",
-      "Estimated total error 0.2%\n",
-      "Actual extrapolated error (with hindsight) 0.6%\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370, 463]\n",
+      "Fitted true_speed is 37.2361 ± 0.0819 cm/s (0.2%)\n",
+      "Estimated error in final calculation 0.2%\n",
+      "Estimated total error 0.4%\n",
+      "Actual extrapolated error (with hindsight) 0.8%\n",
       "Actual raw error (with hindsight) 0.5%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369, 463, 604]\n",
-      "Fitted true_speed is 37.4722 ± 0.0268 cm/s (0.1%)\n",
-      "Estimated error in final calculation -0.3%\n",
-      "Estimated total error 0.4%\n",
-      "Actual extrapolated error (with hindsight) 0.2%\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370, 463, 604]\n",
+      "Fitted true_speed is 37.4287 ± 0.0363 cm/s (0.1%)\n",
+      "Estimated error in final calculation -0.2%\n",
+      "Estimated total error 0.3%\n",
+      "Actual extrapolated error (with hindsight) 0.3%\n",
       "Actual raw error (with hindsight) 0.4%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369, 463, 604, 828]\n",
-      "Fitted true_speed is 37.5065 ± 0.0072 cm/s (0.0%)\n",
-      "Estimated error in final calculation -0.3%\n",
-      "Estimated total error 0.3%\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370, 463, 604, 828]\n",
+      "Fitted true_speed is 37.4873 ± 0.0084 cm/s (0.0%)\n",
+      "Estimated error in final calculation -0.2%\n",
+      "Estimated total error 0.2%\n",
       "Actual extrapolated error (with hindsight) 0.1%\n",
       "Actual raw error (with hindsight) 0.3%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369, 463, 604, 828, 1077]\n",
-      "Fitted true_speed is 37.5224 ± 0.0112 cm/s (0.0%)\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370, 463, 604, 828, 1077]\n",
+      "Fitted true_speed is 37.5145 ± 0.0121 cm/s (0.0%)\n",
       "Estimated error in final calculation -0.2%\n",
-      "Estimated total error 0.3%\n",
+      "Estimated total error 0.2%\n",
       "Actual extrapolated error (with hindsight) 0.0%\n",
       "Actual raw error (with hindsight) 0.2%\n",
       "\n",
-      "[32, 32, 58, 105, 172, 226, 289, 369, 463, 604, 828, 1077, 1078]\n",
-      "Fitted true_speed is 37.5311 ± 0.0161 cm/s (0.0%)\n",
+      "[32, 32, 58, 105, 172, 227, 290, 370, 463, 604, 828, 1077, 1078]\n",
+      "Fitted true_speed is 37.5275 ± 0.0169 cm/s (0.0%)\n",
       "Estimated error in final calculation -0.2%\n",
       "Estimated total error 0.3%\n",
       "Actual extrapolated error (with hindsight) 0.0%\n",
@@ -13208,11 +13275,11 @@
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+       "     <g transform=\"translate(461.365625 40.740187) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-77\" d=\"M 269 3500 \n",
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@@ -14581,18 +14641,18 @@
        "      <use xlink:href=\"#DejaVuSans-72\" x=\"416.898438\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_51\">\n",
+       "    <g id=\"line2d_50\">\n",
        "     <path d=\"M 433.365625 51.918313 \n",
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        "L 453.365625 51.918313 \n",
        "\" style=\"fill: none; stroke: #55a868; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "     <g>\n",
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+       "      <use xlink:href=\"#mb4bb668d30\" x=\"443.365625\" y=\"51.918313\" style=\"fill: #55a868; stroke: #55a868\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_10\">\n",
        "     <!-- extrapolated error -->\n",
-       "     <g transform=\"translate(461.365625 55.418313)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 55.418313) scale(0.1 -0.1)\">\n",
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@@ -14630,18 +14690,18 @@
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        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_52\">\n",
+       "    <g id=\"line2d_51\">\n",
        "     <path d=\"M 433.365625 66.596437 \n",
        "L 443.365625 66.596437 \n",
        "L 453.365625 66.596437 \n",
        "\" style=\"fill: none; stroke: #c44e52; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "     <g>\n",
-       "      <use xlink:href=\"#m7259d1a7ed\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "      <use xlink:href=\"#mecb9e9b0a5\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_11\">\n",
        "     <!-- estimated error -->\n",
-       "     <g transform=\"translate(461.365625 70.096437)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 70.096437) scale(0.1 -0.1)\">\n",
        "      <use xlink:href=\"#DejaVuSans-65\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-73\" x=\"61.523438\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-74\" x=\"113.623047\"/>\n",
@@ -14663,7 +14723,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pd20d1a3f9b\">\n",
+       "  <clipPath id=\"p60744b6aec\">\n",
        "   <rect x=\"56.485625\" y=\"24.14175\" width=\"505.114375\" height=\"359.23075\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -14723,63 +14783,63 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>105</th>\n",
-       "      <td>5.915084</td>\n",
-       "      <td>17.124319</td>\n",
-       "      <td>39.468954</td>\n",
+       "      <td>6.598085</td>\n",
+       "      <td>16.243313</td>\n",
+       "      <td>38.705261</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>172</th>\n",
-       "      <td>0.348239</td>\n",
-       "      <td>7.890169</td>\n",
-       "      <td>22.423468</td>\n",
+       "      <td>0.878544</td>\n",
+       "      <td>7.231856</td>\n",
+       "      <td>22.070443</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>226</th>\n",
-       "      <td>0.581112</td>\n",
-       "      <td>11.113093</td>\n",
-       "      <td>14.217672</td>\n",
+       "      <th>227</th>\n",
+       "      <td>0.277591</td>\n",
+       "      <td>11.277264</td>\n",
+       "      <td>14.031632</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>289</th>\n",
-       "      <td>0.718922</td>\n",
-       "      <td>5.454031</td>\n",
-       "      <td>5.491014</td>\n",
+       "      <th>290</th>\n",
+       "      <td>0.550324</td>\n",
+       "      <td>5.476341</td>\n",
+       "      <td>5.635226</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>369</th>\n",
-       "      <td>0.650537</td>\n",
-       "      <td>1.753594</td>\n",
-       "      <td>1.457227</td>\n",
+       "      <th>370</th>\n",
+       "      <td>0.558652</td>\n",
+       "      <td>2.061745</td>\n",
+       "      <td>1.881478</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>463</th>\n",
-       "      <td>0.539655</td>\n",
-       "      <td>0.570865</td>\n",
-       "      <td>0.219938</td>\n",
+       "      <td>0.488097</td>\n",
+       "      <td>0.776279</td>\n",
+       "      <td>0.430648</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>604</th>\n",
-       "      <td>0.411482</td>\n",
-       "      <td>0.156980</td>\n",
-       "      <td>0.352497</td>\n",
+       "      <td>0.380804</td>\n",
+       "      <td>0.263273</td>\n",
+       "      <td>0.250958</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>828</th>\n",
-       "      <td>0.332431</td>\n",
-       "      <td>0.065463</td>\n",
-       "      <td>0.280576</td>\n",
+       "      <td>0.311726</td>\n",
+       "      <td>0.106941</td>\n",
+       "      <td>0.227774</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1077</th>\n",
-       "      <td>0.232578</td>\n",
-       "      <td>0.023127</td>\n",
-       "      <td>0.251942</td>\n",
+       "      <td>0.215185</td>\n",
+       "      <td>0.034476</td>\n",
+       "      <td>0.228593</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1078</th>\n",
-       "      <td>0.224097</td>\n",
+       "      <td>0.206854</td>\n",
        "      <td>0.000000</td>\n",
-       "      <td>0.278964</td>\n",
+       "      <td>0.264177</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -14790,31 +14850,31 @@
        "32                          NaN                                 NaN   \n",
        "32                          NaN                                 NaN   \n",
        "58                          NaN                                 NaN   \n",
-       "105                    5.915084                           17.124319   \n",
-       "172                    0.348239                            7.890169   \n",
-       "226                    0.581112                           11.113093   \n",
-       "289                    0.718922                            5.454031   \n",
-       "369                    0.650537                            1.753594   \n",
-       "463                    0.539655                            0.570865   \n",
-       "604                    0.411482                            0.156980   \n",
-       "828                    0.332431                            0.065463   \n",
-       "1077                   0.232578                            0.023127   \n",
-       "1078                   0.224097                            0.000000   \n",
+       "105                    6.598085                           16.243313   \n",
+       "172                    0.878544                            7.231856   \n",
+       "227                    0.277591                           11.277264   \n",
+       "290                    0.550324                            5.476341   \n",
+       "370                    0.558652                            2.061745   \n",
+       "463                    0.488097                            0.776279   \n",
+       "604                    0.380804                            0.263273   \n",
+       "828                    0.311726                            0.106941   \n",
+       "1077                   0.215185                            0.034476   \n",
+       "1078                   0.206854                            0.000000   \n",
        "\n",
        "      estimated error  \n",
        "32                NaN  \n",
        "32                NaN  \n",
        "58                NaN  \n",
-       "105         39.468954  \n",
-       "172         22.423468  \n",
-       "226         14.217672  \n",
-       "289          5.491014  \n",
-       "369          1.457227  \n",
-       "463          0.219938  \n",
-       "604          0.352497  \n",
-       "828          0.280576  \n",
-       "1077         0.251942  \n",
-       "1078         0.278964  "
+       "105         38.705261  \n",
+       "172         22.070443  \n",
+       "227         14.031632  \n",
+       "290          5.635226  \n",
+       "370          1.881478  \n",
+       "463          0.430648  \n",
+       "604          0.250958  \n",
+       "828          0.227774  \n",
+       "1077         0.228593  \n",
+       "1078         0.264177  "
       ]
      },
      "metadata": {},
@@ -14834,7 +14894,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -14843,7 +14903,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 16,
    "metadata": {
     "scrolled": true
    },
@@ -14857,15 +14917,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.453\n",
+      "Take 10 timesteps     2.136e-05      5.455\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003649      4.427\n",
+      "Take 10 timesteps     0.0003649      4.425\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.624e-05      6.029\n",
+      "Take 10 timesteps     3.653e-05       5.86\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.468e-05      5.674\n",
+      "Take 10 timesteps     1.734e-05      6.005\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001333      4.122\n",
+      "Take 10 timesteps     0.0006666      4.488\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [9] point grid(s).\n",
@@ -14880,19 +14940,17 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.751\n",
+      "Take 10 timesteps     2.136e-05       5.75\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     4.055e-05      5.579\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.887e-05      5.946\n",
+      "Take 10 timesteps     5.773e-05      6.027\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.055e-05      6.111\n",
+      "Take 10 timesteps      2.74e-05      5.924\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001756      5.504\n",
+      "Take 10 timesteps     7.802e-05      5.655\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.172e-05      6.773\n",
-      "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003003      4.727\n",
+      "Take 10 timesteps     1.852e-05      5.771\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [16] point grid(s).\n",
@@ -14911,30 +14969,30 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     3.604e-05      5.689\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.283e-05      6.138\n",
+      "Take 10 timesteps     9.622e-06      6.227\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001096      5.738\n",
+      "Take 10 timesteps     0.0001644      5.518\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.601e-05      6.051\n",
+      "Take 10 timesteps       1.3e-05      6.218\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.943e-06       6.87\n",
+      "Take 10 timesteps     2.083e-05      6.329\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.909e-05      5.845\n",
+      "Take 10 timesteps     5.932e-05       5.87\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.256e-06      6.574\n",
+      "Take 10 timesteps     1.056e-05      6.871\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001069      5.566\n",
+      "Take 10 timesteps     0.0001203      5.583\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      7.61e-05      5.773\n",
+      "Take 10 timesteps     8.561e-05      5.809\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     5.417e-05      5.296\n",
+      "Take 10 timesteps     6.095e-05      5.255\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001388      4.168\n",
+      "Take 10 timesteps      0.001562      4.092\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [23] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 44.4699 cm/s\n",
+      "Current flame speed is is 44.6981 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -14946,7 +15004,7 @@
       "\n",
       "Problem solved on [23] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 44.4696 cm/s\n",
+      "Current flame speed is is 44.6978 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -14957,12 +15015,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.006\n",
+      "Take 10 timesteps     0.0001709      5.009\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [31] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 29.9930 cm/s\n",
+      "Current flame speed is is 30.3501 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -14973,12 +15031,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05      5.229\n",
+      "Take 10 timesteps     7.594e-05      5.214\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [42] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 39.7589 cm/s\n",
+      "Current flame speed is is 40.0123 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -14992,10 +15050,10 @@
       "\n",
       "Problem solved on [53] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 37.7259 cm/s\n",
-      "Fitted true_speed is 32.7812 ± 11.6625 cm/s (35.6%)\n",
+      "Current flame speed is is 37.9210 cm/s\n",
+      "Fitted true_speed is 32.9928 ± 11.5353 cm/s (35.0%)\n",
       "Estimated error in final calculation 10.1%\n",
-      "Estimated total error 45.7%\n"
+      "Estimated total error 45.1%\n"
      ]
     },
     {
@@ -15009,11 +15067,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T13:58:49.835376</dc:date>\n",
+       "    <dc:date>2023-11-05T18:07:52.668447</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -15045,21 +15103,21 @@
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+       "\" clip-path=\"url(#p78eac535d6)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_2\">\n",
        "      <defs>\n",
-       "       <path id=\"m2aa070f969\" d=\"M 0 0 \n",
+       "       <path id=\"m7e5cfcefb7\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
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        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m2aa070f969\" x=\"322.163958\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7e5cfcefb7\" x=\"322.163958\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     </g>\n",
        "     <g id=\"text_1\">\n",
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+       "      <g style=\"fill: #555555\" transform=\"translate(311.603958 399.490625) scale(0.12 -0.12)\">\n",
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@@ -15123,88 +15181,88 @@
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       "\n",
       "Problem solved on [67] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 37.4891 cm/s\n",
-      "Fitted true_speed is 45.7925 ± 6.3741 cm/s (13.9%)\n",
-      "Estimated error in final calculation -13.9%\n",
-      "Estimated total error 27.8%\n"
+      "Current flame speed is is 37.5990 cm/s\n",
+      "Fitted true_speed is 45.7119 ± 6.3915 cm/s (14.0%)\n",
+      "Estimated error in final calculation -13.4%\n",
+      "Estimated total error 27.4%\n"
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       "\n",
       "Problem solved on [85] point grid(s).\n",
       "Iteration 7\n",
-      "Current flame speed is is 37.6430 cm/s\n",
-      "Fitted true_speed is 35.1215 ± 1.3939 cm/s (4.0%)\n",
-      "Estimated error in final calculation 5.9%\n",
-      "Estimated total error 9.8%\n"
+      "Current flame speed is is 37.7021 cm/s\n",
+      "Fitted true_speed is 34.9890 ± 1.3730 cm/s (3.9%)\n",
+      "Estimated error in final calculation 6.4%\n",
+      "Estimated total error 10.4%\n"
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       "\n",
       "Problem solved on [113] point grid(s).\n",
       "Iteration 8\n",
-      "Current flame speed is is 37.8970 cm/s\n",
-      "Fitted true_speed is 37.9278 ± 0.3533 cm/s (0.9%)\n",
-      "Estimated error in final calculation -0.4%\n",
-      "Estimated total error 1.3%\n"
+      "Current flame speed is is 37.9275 cm/s\n",
+      "Fitted true_speed is 37.8010 ± 0.3792 cm/s (1.0%)\n",
+      "Estimated error in final calculation -0.0%\n",
+      "Estimated total error 1.0%\n"
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       "\n",
       "Problem solved on [142] point grid(s).\n",
       "Iteration 9\n",
-      "Current flame speed is is 38.2319 cm/s\n",
-      "Fitted true_speed is 38.7784 ± 0.2004 cm/s (0.5%)\n",
-      "Estimated error in final calculation -1.6%\n",
-      "Estimated total error 2.2%\n"
+      "Current flame speed is is 38.2540 cm/s\n",
+      "Fitted true_speed is 38.7141 ± 0.2179 cm/s (0.6%)\n",
+      "Estimated error in final calculation -1.4%\n",
+      "Estimated total error 2.0%\n"
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       "\n",
       "..............................................................................\n",
       "no new points needed in flame\n",
-      "Flame Speed is: 38.23 cm/s\n"
+      "Flame Speed is: 38.25 cm/s\n"
      ]
     }
    ],
@@ -20600,7 +20589,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
@@ -20608,45 +20597,45 @@
      "output_type": "stream",
      "text": [
       "[23, 23, 31, 42]\n",
-      "Fitted true_speed is 25.7317 ± 15.5178 cm/s (60.3%)\n",
-      "Estimated error in final calculation 36.1%\n",
-      "Estimated total error 96.4%\n",
-      "Actual extrapolated error (with hindsight) 31.4%\n",
-      "Actual raw error (with hindsight) 5.9%\n",
+      "Fitted true_speed is 26.0965 ± 15.3671 cm/s (58.9%)\n",
+      "Estimated error in final calculation 35.3%\n",
+      "Estimated total error 94.2%\n",
+      "Actual extrapolated error (with hindsight) 30.5%\n",
+      "Actual raw error (with hindsight) 6.6%\n",
       "\n",
       "[23, 23, 31, 42, 53]\n",
-      "Fitted true_speed is 32.7812 ± 11.6625 cm/s (35.6%)\n",
+      "Fitted true_speed is 32.9928 ± 11.5353 cm/s (35.0%)\n",
       "Estimated error in final calculation 10.1%\n",
-      "Estimated total error 45.7%\n",
-      "Actual extrapolated error (with hindsight) 12.7%\n",
-      "Actual raw error (with hindsight) 0.5%\n",
+      "Estimated total error 45.1%\n",
+      "Actual extrapolated error (with hindsight) 12.1%\n",
+      "Actual raw error (with hindsight) 1.0%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67]\n",
-      "Fitted true_speed is 45.7925 ± 6.3741 cm/s (13.9%)\n",
-      "Estimated error in final calculation -13.9%\n",
-      "Estimated total error 27.8%\n",
-      "Actual extrapolated error (with hindsight) 22.0%\n",
-      "Actual raw error (with hindsight) 0.1%\n",
+      "Fitted true_speed is 45.7119 ± 6.3915 cm/s (14.0%)\n",
+      "Estimated error in final calculation -13.4%\n",
+      "Estimated total error 27.4%\n",
+      "Actual extrapolated error (with hindsight) 21.8%\n",
+      "Actual raw error (with hindsight) 0.2%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85]\n",
-      "Fitted true_speed is 35.1215 ± 1.3939 cm/s (4.0%)\n",
-      "Estimated error in final calculation 5.9%\n",
-      "Estimated total error 9.8%\n",
-      "Actual extrapolated error (with hindsight) 6.4%\n",
-      "Actual raw error (with hindsight) 0.3%\n",
+      "Fitted true_speed is 34.9890 ± 1.3730 cm/s (3.9%)\n",
+      "Estimated error in final calculation 6.4%\n",
+      "Estimated total error 10.4%\n",
+      "Actual extrapolated error (with hindsight) 6.8%\n",
+      "Actual raw error (with hindsight) 0.5%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85, 113]\n",
-      "Fitted true_speed is 37.9278 ± 0.3533 cm/s (0.9%)\n",
-      "Estimated error in final calculation -0.4%\n",
-      "Estimated total error 1.3%\n",
-      "Actual extrapolated error (with hindsight) 1.1%\n",
-      "Actual raw error (with hindsight) 1.0%\n",
+      "Fitted true_speed is 37.8010 ± 0.3792 cm/s (1.0%)\n",
+      "Estimated error in final calculation -0.0%\n",
+      "Estimated total error 1.0%\n",
+      "Actual extrapolated error (with hindsight) 0.7%\n",
+      "Actual raw error (with hindsight) 1.1%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85, 113, 142]\n",
-      "Fitted true_speed is 38.7784 ± 0.2004 cm/s (0.5%)\n",
-      "Estimated error in final calculation -1.6%\n",
-      "Estimated total error 2.2%\n",
-      "Actual extrapolated error (with hindsight) 3.3%\n",
+      "Fitted true_speed is 38.7141 ± 0.2179 cm/s (0.6%)\n",
+      "Estimated error in final calculation -1.4%\n",
+      "Estimated total error 2.0%\n",
+      "Actual extrapolated error (with hindsight) 3.2%\n",
       "Actual raw error (with hindsight) 1.9%\n",
       "\n"
      ]
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        "     <g>\n",
-       "      <use xlink:href=\"#mf9d386396a\" x=\"443.365625\" y=\"51.918313\" style=\"fill: #55a868; stroke: #55a868\"/>\n",
+       "      <use xlink:href=\"#m18fce098ad\" x=\"443.365625\" y=\"51.918313\" style=\"fill: #55a868; stroke: #55a868\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_12\">\n",
+       "    <g id=\"text_11\">\n",
        "     <!-- extrapolated error -->\n",
-       "     <g transform=\"translate(461.365625 55.418313)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 55.418313) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-78\" d=\"M 3513 3500 \n",
        "L 2247 1797 \n",
@@ -22117,18 +22073,18 @@
        "      <use xlink:href=\"#DejaVuSans-72\" x=\"871.203125\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_48\">\n",
+       "    <g id=\"line2d_44\">\n",
        "     <path d=\"M 433.365625 66.596437 \n",
        "L 443.365625 66.596437 \n",
        "L 453.365625 66.596437 \n",
        "\" style=\"fill: none; stroke: #c44e52; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "     <g>\n",
-       "      <use xlink:href=\"#m514de81d47\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "      <use xlink:href=\"#m2d36fd63c8\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_13\">\n",
+       "    <g id=\"text_12\">\n",
        "     <!-- estimated error -->\n",
-       "     <g transform=\"translate(461.365625 70.096437)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 70.096437) scale(0.1 -0.1)\">\n",
        "      <use xlink:href=\"#DejaVuSans-65\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-73\" x=\"61.523438\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-74\" x=\"113.623047\"/>\n",
@@ -22150,7 +22106,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p0c31a085b0\">\n",
+       "  <clipPath id=\"p55322aa1d6\">\n",
        "   <rect x=\"64.120625\" y=\"24.14175\" width=\"497.479375\" height=\"359.23075\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -22210,39 +22166,39 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>42</th>\n",
-       "      <td>5.935871</td>\n",
-       "      <td>31.438978</td>\n",
-       "      <td>96.383332</td>\n",
+       "      <td>6.621435</td>\n",
+       "      <td>30.460181</td>\n",
+       "      <td>94.208066</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>53</th>\n",
-       "      <td>0.519098</td>\n",
-       "      <td>12.655752</td>\n",
-       "      <td>45.697973</td>\n",
+       "      <td>1.048546</td>\n",
+       "      <td>12.083658</td>\n",
+       "      <td>45.110086</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>67</th>\n",
-       "      <td>0.111825</td>\n",
-       "      <td>22.012258</td>\n",
-       "      <td>27.776320</td>\n",
+       "      <td>0.190661</td>\n",
+       "      <td>21.809250</td>\n",
+       "      <td>27.413437</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>85</th>\n",
-       "      <td>0.298172</td>\n",
-       "      <td>6.420185</td>\n",
-       "      <td>9.826740</td>\n",
+       "      <td>0.465314</td>\n",
+       "      <td>6.764259</td>\n",
+       "      <td>10.360387</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>113</th>\n",
-       "      <td>0.975078</td>\n",
-       "      <td>1.057040</td>\n",
-       "      <td>1.341516</td>\n",
+       "      <td>1.066129</td>\n",
+       "      <td>0.728839</td>\n",
+       "      <td>1.026614</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>142</th>\n",
-       "      <td>1.867447</td>\n",
-       "      <td>3.323424</td>\n",
-       "      <td>2.159880</td>\n",
+       "      <td>1.935950</td>\n",
+       "      <td>3.161962</td>\n",
+       "      <td>2.004120</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -22253,23 +22209,23 @@
        "23                         NaN                                 NaN   \n",
        "23                         NaN                                 NaN   \n",
        "31                         NaN                                 NaN   \n",
-       "42                    5.935871                           31.438978   \n",
-       "53                    0.519098                           12.655752   \n",
-       "67                    0.111825                           22.012258   \n",
-       "85                    0.298172                            6.420185   \n",
-       "113                   0.975078                            1.057040   \n",
-       "142                   1.867447                            3.323424   \n",
+       "42                    6.621435                           30.460181   \n",
+       "53                    1.048546                           12.083658   \n",
+       "67                    0.190661                           21.809250   \n",
+       "85                    0.465314                            6.764259   \n",
+       "113                   1.066129                            0.728839   \n",
+       "142                   1.935950                            3.161962   \n",
        "\n",
        "     estimated error  \n",
        "23               NaN  \n",
        "23               NaN  \n",
        "31               NaN  \n",
-       "42         96.383332  \n",
-       "53         45.697973  \n",
-       "67         27.776320  \n",
-       "85          9.826740  \n",
-       "113         1.341516  \n",
-       "142         2.159880  "
+       "42         94.208066  \n",
+       "53         45.110086  \n",
+       "67         27.413437  \n",
+       "85         10.360387  \n",
+       "113         1.026614  \n",
+       "142         2.004120  "
       ]
      },
      "metadata": {},
@@ -22290,7 +22246,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
@@ -22299,7 +22255,7 @@
        "{'ratio': 10.0, 'slope': 0.8, 'curve': 0.8, 'prune': 0}"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 18,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -22314,7 +22270,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 19,
    "metadata": {
     "scrolled": true
    },
@@ -22328,15 +22284,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.453\n",
+      "Take 10 timesteps     2.136e-05      5.455\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003649      4.427\n",
+      "Take 10 timesteps     0.0003649      4.425\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.624e-05      6.029\n",
+      "Take 10 timesteps     3.653e-05       5.86\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.468e-05      5.674\n",
+      "Take 10 timesteps     1.734e-05      6.005\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001333      4.122\n",
+      "Take 10 timesteps     0.0006666      4.488\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [9] point grid(s).\n",
@@ -22355,13 +22311,13 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     4.055e-05       5.58\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      4.33e-05      5.988\n",
+      "Take 10 timesteps      4.33e-05      5.984\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.312e-05      6.089\n",
+      "Take 10 timesteps     2.312e-05      5.985\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001317      5.567\n",
+      "Take 10 timesteps     8.778e-05      5.609\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.758e-05      6.302\n",
+      "Take 10 timesteps     3.124e-05      5.671\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [13] point grid(s).\n",
@@ -22382,21 +22338,23 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     0.0001948      5.043\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.055e-05      6.121\n",
+      "Take 10 timesteps     1.027e-05      6.376\n",
+      "Attempt Newton solution of steady-state problem...    failure. \n",
+      "Take 10 timesteps     1.463e-05      6.611\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.097e-05      6.904\n",
+      "Take 10 timesteps     8.332e-05      5.851\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.000125      5.845\n",
+      "Take 10 timesteps     7.415e-06      6.836\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.966e-05      5.875\n",
+      "Take 10 timesteps     8.446e-05      5.675\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003378      5.031\n",
+      "Take 10 timesteps     0.0003207       5.31\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.691e-05      6.194\n",
+      "Take 10 timesteps      2.14e-05      5.776\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001926      4.894\n",
+      "Take 10 timesteps     0.0005485      4.579\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.004937      3.162\n",
+      "Take 10 timesteps       0.01406      1.764\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [16] point grid(s).\n",
@@ -22417,40 +22375,38 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps      0.001559      4.049\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.935e-05      5.685\n",
-      "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.097e-05      6.168\n",
+      "Take 10 timesteps     6.935e-05      5.904\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001875      5.427\n",
+      "Take 10 timesteps     6.583e-05      5.707\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.112e-05      6.587\n",
+      "Take 10 timesteps     2.343e-05      6.296\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps       0.00019      5.346\n",
+      "Take 10 timesteps     5.005e-05       5.92\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.516e-06      6.766\n",
+      "Take 10 timesteps     3.167e-05      5.878\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     8.561e-05      5.896\n",
+      "Take 10 timesteps     3.006e-05      5.984\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.709e-05      6.048\n",
+      "Take 10 timesteps      2.14e-05      6.426\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     5.142e-05      6.183\n",
+      "Take 10 timesteps     3.428e-05      5.995\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.661e-05      5.765\n",
+      "Take 10 timesteps     3.661e-05      6.025\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.000417      4.853\n",
+      "Take 10 timesteps      6.95e-05      5.678\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.299e-05      6.044\n",
+      "Take 10 timesteps     0.0007916        4.7\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     4.697e-05      5.261\n",
+      "Take 10 timesteps     2.642e-05      5.823\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001204      4.271\n",
+      "Take 10 timesteps     0.0006771      4.519\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps       0.03085      1.369\n",
+      "Take 10 timesteps       0.01157      2.455\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [19] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 44.5855 cm/s\n",
+      "Current flame speed is is 44.8126 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -22462,7 +22418,7 @@
       "\n",
       "Problem solved on [19] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 44.5854 cm/s\n",
+      "Current flame speed is is 44.8121 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -22473,12 +22429,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.011\n",
+      "Take 10 timesteps     0.0001709      5.015\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [22] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 29.9288 cm/s\n",
+      "Current flame speed is is 30.2398 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -22489,12 +22445,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05      5.241\n",
+      "Take 10 timesteps     7.594e-05      5.227\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [26] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 40.5411 cm/s\n",
+      "Current flame speed is is 40.7840 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -22508,10 +22464,10 @@
       "\n",
       "Problem solved on [32] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 38.5901 cm/s\n",
-      "Fitted true_speed is 33.9553 ± 20.0669 cm/s (59.1%)\n",
-      "Estimated error in final calculation 9.8%\n",
-      "Estimated total error 68.9%\n"
+      "Current flame speed is is 38.7786 cm/s\n",
+      "Fitted true_speed is 34.0902 ± 19.9313 cm/s (58.5%)\n",
+      "Estimated error in final calculation 10.0%\n",
+      "Estimated total error 68.4%\n"
      ]
     },
     {
@@ -22525,11 +22481,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T13:59:10.152771</dc:date>\n",
+       "    <dc:date>2023-11-05T18:08:18.407364</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -22561,21 +22517,21 @@
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        "      <path d=\"M 388.555581 383.3725 \n",
        "L 388.555581 7.2 \n",
-       "\" clip-path=\"url(#p0bafe2e648)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#pfe0ad4079c)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_2\">\n",
        "      <defs>\n",
-       "       <path id=\"m293b46c5a4\" d=\"M 0 0 \n",
+       "       <path id=\"m643cc01f43\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m293b46c5a4\" x=\"388.555581\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m643cc01f43\" x=\"388.555581\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- $\\mathdefault{10^{2}}$ -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(377.995581 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(377.995581 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
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@@ -22639,81 +22595,81 @@
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+       "       <path id=\"me60540a74e\" d=\"M 0 0 \n",
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       "##############################################################################\n",
       "Refining grid in flame.\n",
       "    New points inserted after grid points 12 13 14 15 \n",
-      "    to resolve C C2H2 C2H3 C2H5 C3H7 C3H8 CH CH2 CH2(S) CH2OH HCCO HCO \n",
+      "    to resolve C C2H2 C2H3 C2H5 C3H7 CH CH2 CH2(S) CH2OH HCCO HCCOH HCO \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
@@ -23656,10 +23585,10 @@
       "\n",
       "Problem solved on [36] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 41.1471 cm/s\n",
-      "Fitted true_speed is 56.6805 ± 9.9888 cm/s (17.6%)\n",
-      "Estimated error in final calculation -26.2%\n",
-      "Estimated total error 43.9%\n"
+      "Current flame speed is is 41.3077 cm/s\n",
+      "Fitted true_speed is 56.6055 ± 9.9760 cm/s (17.6%)\n",
+      "Estimated error in final calculation -25.9%\n",
+      "Estimated total error 43.5%\n"
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@@ -24753,8 +24691,8 @@
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@@ -24773,7 +24711,7 @@
       "\n",
       "..............................................................................\n",
       "no new points needed in flame\n",
-      "Flame Speed is: 41.15 cm/s\n"
+      "Flame Speed is: 41.31 cm/s\n"
      ]
     }
    ],
@@ -24801,7 +24739,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
     {
@@ -24809,25 +24747,25 @@
      "output_type": "stream",
      "text": [
       "[19, 19, 22, 26]\n",
-      "Fitted true_speed is 18.4813 ± 30.7668 cm/s (166.5%)\n",
-      "Estimated error in final calculation 94.3%\n",
-      "Estimated total error 260.8%\n",
-      "Actual extrapolated error (with hindsight) 50.8%\n",
-      "Actual raw error (with hindsight) 8.0%\n",
+      "Fitted true_speed is 18.8343 ± 30.5814 cm/s (162.4%)\n",
+      "Estimated error in final calculation 92.1%\n",
+      "Estimated total error 254.5%\n",
+      "Actual extrapolated error (with hindsight) 49.8%\n",
+      "Actual raw error (with hindsight) 8.7%\n",
       "\n",
       "[19, 19, 22, 26, 32]\n",
-      "Fitted true_speed is 33.9553 ± 20.0669 cm/s (59.1%)\n",
-      "Estimated error in final calculation 9.8%\n",
-      "Estimated total error 68.9%\n",
-      "Actual extrapolated error (with hindsight) 9.5%\n",
-      "Actual raw error (with hindsight) 2.8%\n",
+      "Fitted true_speed is 34.0902 ± 19.9313 cm/s (58.5%)\n",
+      "Estimated error in final calculation 10.0%\n",
+      "Estimated total error 68.4%\n",
+      "Actual extrapolated error (with hindsight) 9.2%\n",
+      "Actual raw error (with hindsight) 3.3%\n",
       "\n",
       "[19, 19, 22, 26, 32, 36]\n",
-      "Fitted true_speed is 56.6805 ± 9.9888 cm/s (17.6%)\n",
-      "Estimated error in final calculation -26.2%\n",
-      "Estimated total error 43.9%\n",
-      "Actual extrapolated error (with hindsight) 51.0%\n",
-      "Actual raw error (with hindsight) 9.6%\n",
+      "Fitted true_speed is 56.6055 ± 9.9760 cm/s (17.6%)\n",
+      "Estimated error in final calculation -25.9%\n",
+      "Estimated total error 43.5%\n",
+      "Actual extrapolated error (with hindsight) 50.8%\n",
+      "Actual raw error (with hindsight) 10.1%\n",
       "\n"
      ]
     },
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        "    </tr>\n",
        "    <tr>\n",
        "      <th>26</th>\n",
-       "      <td>8.020085</td>\n",
-       "      <td>50.757467</td>\n",
-       "      <td>260.769151</td>\n",
+       "      <td>8.677759</td>\n",
+       "      <td>49.812034</td>\n",
+       "      <td>254.460955</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>32</th>\n",
-       "      <td>2.821832</td>\n",
-       "      <td>9.527453</td>\n",
-       "      <td>68.874022</td>\n",
+       "      <td>3.333974</td>\n",
+       "      <td>9.159402</td>\n",
+       "      <td>68.438540</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>36</th>\n",
-       "      <td>9.634620</td>\n",
-       "      <td>51.022939</td>\n",
-       "      <td>43.855803</td>\n",
+       "      <td>10.073331</td>\n",
+       "      <td>50.837497</td>\n",
+       "      <td>43.478182</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -26363,17 +26301,17 @@
        "19                        NaN                                 NaN   \n",
        "19                        NaN                                 NaN   \n",
        "22                        NaN                                 NaN   \n",
-       "26                   8.020085                           50.757467   \n",
-       "32                   2.821832                            9.527453   \n",
-       "36                   9.634620                           51.022939   \n",
+       "26                   8.677759                           49.812034   \n",
+       "32                   3.333974                            9.159402   \n",
+       "36                  10.073331                           50.837497   \n",
        "\n",
        "    estimated error  \n",
        "19              NaN  \n",
        "19              NaN  \n",
        "22              NaN  \n",
-       "26       260.769151  \n",
-       "32        68.874022  \n",
-       "36        43.855803  "
+       "26       254.460955  \n",
+       "32        68.438540  \n",
+       "36        43.478182  "
       ]
      },
      "metadata": {},
@@ -26393,7 +26331,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -26402,7 +26340,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 22,
    "metadata": {
     "scrolled": true
    },
@@ -26416,15 +26354,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.453\n",
+      "Take 10 timesteps     2.136e-05      5.455\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003649      4.427\n",
+      "Take 10 timesteps     0.0003649      4.425\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.624e-05      6.029\n",
+      "Take 10 timesteps     3.653e-05       5.86\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.468e-05      5.674\n",
+      "Take 10 timesteps     1.734e-05      6.005\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001333      4.122\n",
+      "Take 10 timesteps     0.0006666      4.488\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [9] point grid(s).\n",
@@ -26439,19 +26377,17 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.751\n",
+      "Take 10 timesteps     2.136e-05       5.75\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     4.055e-05      5.579\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.887e-05      5.946\n",
+      "Take 10 timesteps     5.773e-05      6.027\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.055e-05      6.111\n",
+      "Take 10 timesteps      2.74e-05      5.924\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001756      5.504\n",
+      "Take 10 timesteps     7.802e-05      5.655\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.172e-05      6.773\n",
-      "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003003      4.727\n",
+      "Take 10 timesteps     1.852e-05      5.771\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [16] point grid(s).\n",
@@ -26470,30 +26406,30 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     3.604e-05      5.689\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.283e-05      6.138\n",
+      "Take 10 timesteps     9.622e-06      6.227\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001096      5.738\n",
+      "Take 10 timesteps     0.0001644      5.518\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.601e-05      6.051\n",
+      "Take 10 timesteps       1.3e-05      6.218\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.943e-06       6.87\n",
+      "Take 10 timesteps     2.083e-05      6.329\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.909e-05      5.845\n",
+      "Take 10 timesteps     5.932e-05       5.87\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.256e-06      6.574\n",
+      "Take 10 timesteps     1.056e-05      6.871\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001069      5.566\n",
+      "Take 10 timesteps     0.0001203      5.583\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      7.61e-05      5.773\n",
+      "Take 10 timesteps     8.561e-05      5.809\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     5.417e-05      5.296\n",
+      "Take 10 timesteps     6.095e-05      5.255\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001388      4.168\n",
+      "Take 10 timesteps      0.001562      4.092\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [23] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 44.4699 cm/s\n",
+      "Current flame speed is is 44.6981 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -26505,7 +26441,7 @@
       "\n",
       "Problem solved on [23] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 44.4696 cm/s\n",
+      "Current flame speed is is 44.6978 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -26516,12 +26452,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.006\n",
+      "Take 10 timesteps     0.0001709      5.009\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [31] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 29.9930 cm/s\n",
+      "Current flame speed is is 30.3501 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -26532,12 +26468,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05      5.229\n",
+      "Take 10 timesteps     7.594e-05      5.214\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [42] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 39.7589 cm/s\n",
+      "Current flame speed is is 40.0123 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -26551,10 +26487,10 @@
       "\n",
       "Problem solved on [53] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 37.7259 cm/s\n",
-      "Fitted true_speed is 32.7812 ± 11.6625 cm/s (35.6%)\n",
+      "Current flame speed is is 37.9210 cm/s\n",
+      "Fitted true_speed is 32.9928 ± 11.5353 cm/s (35.0%)\n",
       "Estimated error in final calculation 10.1%\n",
-      "Estimated total error 45.7%\n"
+      "Estimated total error 45.1%\n"
      ]
     },
     {
@@ -26568,11 +26504,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T13:59:23.850904</dc:date>\n",
+       "    <dc:date>2023-11-05T18:08:36.721277</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
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        "    </dc:creator>\n",
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@@ -26604,21 +26540,21 @@
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        "     </g>\n",
        "     <g id=\"line2d_2\">\n",
        "      <defs>\n",
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@@ -26682,88 +26618,88 @@
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@@ -27586,10 +27490,10 @@
       "\n",
       "Problem solved on [67] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 37.4891 cm/s\n",
-      "Fitted true_speed is 45.7925 ± 6.3741 cm/s (13.9%)\n",
-      "Estimated error in final calculation -13.9%\n",
-      "Estimated total error 27.8%\n"
+      "Current flame speed is is 37.5990 cm/s\n",
+      "Fitted true_speed is 45.7119 ± 6.3915 cm/s (14.0%)\n",
+      "Estimated error in final calculation -13.4%\n",
+      "Estimated total error 27.4%\n"
      ]
     },
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       "\n",
       "Problem solved on [85] point grid(s).\n",
       "Iteration 7\n",
-      "Current flame speed is is 37.6430 cm/s\n",
-      "Fitted true_speed is 35.1215 ± 1.3939 cm/s (4.0%)\n",
-      "Estimated error in final calculation 5.9%\n",
-      "Estimated total error 9.8%\n"
+      "Current flame speed is is 37.7021 cm/s\n",
+      "Fitted true_speed is 34.9890 ± 1.3730 cm/s (3.9%)\n",
+      "Estimated error in final calculation 6.4%\n",
+      "Estimated total error 10.4%\n"
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-       "    <g id=\"text_9\">\n",
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       "\n",
       "Problem solved on [113] point grid(s).\n",
       "Iteration 8\n",
-      "Current flame speed is is 37.8970 cm/s\n",
-      "Fitted true_speed is 37.9278 ± 0.3533 cm/s (0.9%)\n",
-      "Estimated error in final calculation -0.4%\n",
-      "Estimated total error 1.3%\n"
+      "Current flame speed is is 37.9275 cm/s\n",
+      "Fitted true_speed is 37.8010 ± 0.3792 cm/s (1.0%)\n",
+      "Estimated error in final calculation -0.0%\n",
+      "Estimated total error 1.0%\n"
      ]
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       "\n",
       "Problem solved on [142] point grid(s).\n",
       "Iteration 9\n",
-      "Current flame speed is is 38.2319 cm/s\n",
-      "Fitted true_speed is 38.7784 ± 0.2004 cm/s (0.5%)\n",
-      "Estimated error in final calculation -1.6%\n",
-      "Estimated total error 2.2%\n"
+      "Current flame speed is is 38.2540 cm/s\n",
+      "Fitted true_speed is 38.7141 ± 0.2179 cm/s (0.6%)\n",
+      "Estimated error in final calculation -1.4%\n",
+      "Estimated total error 2.0%\n"
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       "\n",
       "..............................................................................\n",
       "no new points needed in flame\n",
-      "Flame Speed is: 38.23 cm/s\n"
+      "Flame Speed is: 38.25 cm/s\n"
      ]
     }
    ],
@@ -32159,7 +32026,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -32167,45 +32034,45 @@
      "output_type": "stream",
      "text": [
       "[23, 23, 31, 42]\n",
-      "Fitted true_speed is 25.7317 ± 15.5178 cm/s (60.3%)\n",
-      "Estimated error in final calculation 36.1%\n",
-      "Estimated total error 96.4%\n",
-      "Actual extrapolated error (with hindsight) 31.4%\n",
-      "Actual raw error (with hindsight) 5.9%\n",
+      "Fitted true_speed is 26.0965 ± 15.3671 cm/s (58.9%)\n",
+      "Estimated error in final calculation 35.3%\n",
+      "Estimated total error 94.2%\n",
+      "Actual extrapolated error (with hindsight) 30.5%\n",
+      "Actual raw error (with hindsight) 6.6%\n",
       "\n",
       "[23, 23, 31, 42, 53]\n",
-      "Fitted true_speed is 32.7812 ± 11.6625 cm/s (35.6%)\n",
+      "Fitted true_speed is 32.9928 ± 11.5353 cm/s (35.0%)\n",
       "Estimated error in final calculation 10.1%\n",
-      "Estimated total error 45.7%\n",
-      "Actual extrapolated error (with hindsight) 12.7%\n",
-      "Actual raw error (with hindsight) 0.5%\n",
+      "Estimated total error 45.1%\n",
+      "Actual extrapolated error (with hindsight) 12.1%\n",
+      "Actual raw error (with hindsight) 1.0%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67]\n",
-      "Fitted true_speed is 45.7925 ± 6.3741 cm/s (13.9%)\n",
-      "Estimated error in final calculation -13.9%\n",
-      "Estimated total error 27.8%\n",
-      "Actual extrapolated error (with hindsight) 22.0%\n",
-      "Actual raw error (with hindsight) 0.1%\n",
+      "Fitted true_speed is 45.7119 ± 6.3915 cm/s (14.0%)\n",
+      "Estimated error in final calculation -13.4%\n",
+      "Estimated total error 27.4%\n",
+      "Actual extrapolated error (with hindsight) 21.8%\n",
+      "Actual raw error (with hindsight) 0.2%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85]\n",
-      "Fitted true_speed is 35.1215 ± 1.3939 cm/s (4.0%)\n",
-      "Estimated error in final calculation 5.9%\n",
-      "Estimated total error 9.8%\n",
-      "Actual extrapolated error (with hindsight) 6.4%\n",
-      "Actual raw error (with hindsight) 0.3%\n",
+      "Fitted true_speed is 34.9890 ± 1.3730 cm/s (3.9%)\n",
+      "Estimated error in final calculation 6.4%\n",
+      "Estimated total error 10.4%\n",
+      "Actual extrapolated error (with hindsight) 6.8%\n",
+      "Actual raw error (with hindsight) 0.5%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85, 113]\n",
-      "Fitted true_speed is 37.9278 ± 0.3533 cm/s (0.9%)\n",
-      "Estimated error in final calculation -0.4%\n",
-      "Estimated total error 1.3%\n",
-      "Actual extrapolated error (with hindsight) 1.1%\n",
-      "Actual raw error (with hindsight) 1.0%\n",
+      "Fitted true_speed is 37.8010 ± 0.3792 cm/s (1.0%)\n",
+      "Estimated error in final calculation -0.0%\n",
+      "Estimated total error 1.0%\n",
+      "Actual extrapolated error (with hindsight) 0.7%\n",
+      "Actual raw error (with hindsight) 1.1%\n",
       "\n",
       "[23, 23, 31, 42, 53, 67, 85, 113, 142]\n",
-      "Fitted true_speed is 38.7784 ± 0.2004 cm/s (0.5%)\n",
-      "Estimated error in final calculation -1.6%\n",
-      "Estimated total error 2.2%\n",
-      "Actual extrapolated error (with hindsight) 3.3%\n",
+      "Fitted true_speed is 38.7141 ± 0.2179 cm/s (0.6%)\n",
+      "Estimated error in final calculation -1.4%\n",
+      "Estimated total error 2.0%\n",
+      "Actual extrapolated error (with hindsight) 3.2%\n",
       "Actual raw error (with hindsight) 1.9%\n",
       "\n"
      ]
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-       "    <g id=\"text_11\">\n",
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-       "    <g id=\"text_12\">\n",
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        "    </g>\n",
-       "    <g id=\"text_13\">\n",
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@@ -33709,7 +33543,7 @@
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@@ -33769,39 +33603,39 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>42</th>\n",
-       "      <td>5.935871</td>\n",
-       "      <td>31.438978</td>\n",
-       "      <td>96.383332</td>\n",
+       "      <td>6.621435</td>\n",
+       "      <td>30.460181</td>\n",
+       "      <td>94.208066</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>53</th>\n",
-       "      <td>0.519098</td>\n",
-       "      <td>12.655752</td>\n",
-       "      <td>45.697973</td>\n",
+       "      <td>1.048546</td>\n",
+       "      <td>12.083658</td>\n",
+       "      <td>45.110086</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>67</th>\n",
-       "      <td>0.111825</td>\n",
-       "      <td>22.012258</td>\n",
-       "      <td>27.776320</td>\n",
+       "      <td>0.190661</td>\n",
+       "      <td>21.809250</td>\n",
+       "      <td>27.413437</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>85</th>\n",
-       "      <td>0.298172</td>\n",
-       "      <td>6.420185</td>\n",
-       "      <td>9.826740</td>\n",
+       "      <td>0.465314</td>\n",
+       "      <td>6.764259</td>\n",
+       "      <td>10.360387</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>113</th>\n",
-       "      <td>0.975078</td>\n",
-       "      <td>1.057040</td>\n",
-       "      <td>1.341516</td>\n",
+       "      <td>1.066129</td>\n",
+       "      <td>0.728839</td>\n",
+       "      <td>1.026614</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>142</th>\n",
-       "      <td>1.867447</td>\n",
-       "      <td>3.323424</td>\n",
-       "      <td>2.159880</td>\n",
+       "      <td>1.935950</td>\n",
+       "      <td>3.161962</td>\n",
+       "      <td>2.004120</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -33812,23 +33646,23 @@
        "23                         NaN                                 NaN   \n",
        "23                         NaN                                 NaN   \n",
        "31                         NaN                                 NaN   \n",
-       "42                    5.935871                           31.438978   \n",
-       "53                    0.519098                           12.655752   \n",
-       "67                    0.111825                           22.012258   \n",
-       "85                    0.298172                            6.420185   \n",
-       "113                   0.975078                            1.057040   \n",
-       "142                   1.867447                            3.323424   \n",
+       "42                    6.621435                           30.460181   \n",
+       "53                    1.048546                           12.083658   \n",
+       "67                    0.190661                           21.809250   \n",
+       "85                    0.465314                            6.764259   \n",
+       "113                   1.066129                            0.728839   \n",
+       "142                   1.935950                            3.161962   \n",
        "\n",
        "     estimated error  \n",
        "23               NaN  \n",
        "23               NaN  \n",
        "31               NaN  \n",
-       "42         96.383332  \n",
-       "53         45.697973  \n",
-       "67         27.776320  \n",
-       "85          9.826740  \n",
-       "113         1.341516  \n",
-       "142         2.159880  "
+       "42         94.208066  \n",
+       "53         45.110086  \n",
+       "67         27.413437  \n",
+       "85         10.360387  \n",
+       "113         1.026614  \n",
+       "142         2.004120  "
       ]
      },
      "metadata": {},
@@ -33848,7 +33682,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -33858,7 +33692,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 25,
    "metadata": {
     "scrolled": true
    },
@@ -33906,16 +33740,16 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      3.56e-06      7.491\n",
+      "Take 10 timesteps     2.373e-06      7.429\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      9.01e-06      6.693\n",
+      "Take 10 timesteps     6.007e-06      7.408\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001539      5.261\n",
+      "Take 10 timesteps     0.0001026      5.606\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [31] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 196.3821 cm/s\n",
+      "Current flame speed is is 196.2847 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -33927,7 +33761,7 @@
       "\n",
       "Problem solved on [31] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 196.3808 cm/s\n",
+      "Current flame speed is is 196.2849 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -33943,7 +33777,7 @@
       "\n",
       "Problem solved on [55] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 338.8902 cm/s\n",
+      "Current flame speed is is 338.7851 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -33954,12 +33788,12 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709       4.55\n",
+      "Take 10 timesteps     0.0001709      4.549\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [100] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 371.5042 cm/s\n",
+      "Current flame speed is is 371.4092 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -33973,8 +33807,8 @@
       "\n",
       "Problem solved on [168] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 302.9329 cm/s\n",
-      "Fitted true_speed is 387.1014 ± 56.3305 cm/s (14.6%)\n",
+      "Current flame speed is is 302.8679 cm/s\n",
+      "Fitted true_speed is 387.0255 ± 56.3136 cm/s (14.6%)\n",
       "Estimated error in final calculation -7.8%\n",
       "Estimated total error 22.4%\n"
      ]
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       "\n",
       "Problem solved on [211] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 269.2327 cm/s\n",
-      "Fitted true_speed is 277.4906 ± 45.1457 cm/s (16.3%)\n",
+      "Current flame speed is is 269.1805 cm/s\n",
+      "Fitted true_speed is 277.4475 ± 45.1324 cm/s (16.3%)\n",
       "Estimated error in final calculation 7.6%\n",
-      "Estimated total error 23.9%\n"
+      "Estimated total error 23.8%\n"
      ]
     },
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        "      <!-- $\\mathdefault{10^{2}}$ -->\n",
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@@ -35259,7 +35093,7 @@
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@@ -35313,123 +35147,123 @@
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        "     </g>\n",
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+       "       <use xlink:href=\"#m864001aee7\" x=\"479.774694\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.6\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_3\">\n",
        "     <!-- Grid size -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(282.934375 415.104375)scale(0.12 -0.12)\">\n",
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@@ -35598,23 +35432,23 @@
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+       "      <path d=\"M 56.5325 358.364494 \n",
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        "     <g id=\"line2d_21\">\n",
        "      <defs>\n",
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-       "       <use xlink:href=\"#m701d6fe46e\" x=\"56.5325\" y=\"358.533878\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md7e5625205\" x=\"56.5325\" y=\"358.364494\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- 2.00 -->\n",
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@@ -35633,18 +35467,18 @@
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        "     <g id=\"line2d_22\">\n",
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+       "      <path d=\"M 56.5325 312.153697 \n",
+       "L 561.6 312.153697 \n",
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        "     </g>\n",
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+       "       <use xlink:href=\"#md7e5625205\" x=\"56.5325\" y=\"312.153697\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     <g id=\"text_5\">\n",
        "      <!-- 2.25 -->\n",
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@@ -35681,18 +35515,18 @@
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+       "L 561.6 265.942901 \n",
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        "     <g id=\"text_6\">\n",
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@@ -35702,18 +35536,18 @@
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        "     <g id=\"line2d_26\">\n",
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@@ -35735,18 +35569,18 @@
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@@ -35756,18 +35590,18 @@
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@@ -36243,7 +36077,7 @@
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@@ -36273,8 +36107,8 @@
       "\n",
       "Problem solved on [258] point grid(s).\n",
       "Iteration 7\n",
-      "Current flame speed is is 251.4201 cm/s\n",
-      "Fitted true_speed is 179.2537 ± 9.0126 cm/s (5.0%)\n",
+      "Current flame speed is is 251.3992 cm/s\n",
+      "Fitted true_speed is 179.2606 ± 9.0015 cm/s (5.0%)\n",
       "Estimated error in final calculation 42.1%\n",
       "Estimated total error 47.1%\n"
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@@ -36290,11 +36124,11 @@
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       "\n",
       "Problem solved on [314] point grid(s).\n",
       "Iteration 8\n",
-      "Current flame speed is is 242.3247 cm/s\n",
-      "Fitted true_speed is 167.9934 ± 10.3013 cm/s (6.1%)\n",
-      "Estimated error in final calculation 42.1%\n",
-      "Estimated total error 48.2%\n"
+      "Current flame speed is is 242.3121 cm/s\n",
+      "Fitted true_speed is 168.0459 ± 10.3078 cm/s (6.1%)\n",
+      "Estimated error in final calculation 42.0%\n",
+      "Estimated total error 48.1%\n"
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       "\n",
       "Problem solved on [384] point grid(s).\n",
       "Iteration 9\n",
-      "Current flame speed is is 237.6990 cm/s\n",
-      "Fitted true_speed is 196.6286 ± 7.4813 cm/s (3.8%)\n",
+      "Current flame speed is is 237.6932 cm/s\n",
+      "Fitted true_speed is 196.6826 ± 7.4651 cm/s (3.8%)\n",
       "Estimated error in final calculation 19.7%\n",
       "Estimated total error 23.5%\n"
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        "     <g id=\"line2d_5\">\n",
        "      <defs>\n",
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        "     </g>\n",
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        "     </g>\n",
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+       "       <use xlink:href=\"#mcf591fa783\" x=\"549.764968\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.6\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_3\">\n",
        "     <!-- Grid size -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(279.116875 415.104375)scale(0.12 -0.12)\">\n",
+       "     <g style=\"fill: #555555\" transform=\"translate(279.116875 415.104375) scale(0.12 -0.12)\">\n",
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@@ -38896,23 +38730,23 @@
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+       "      <path d=\"M 48.8975 382.710127 \n",
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        "     <g id=\"line2d_23\">\n",
        "      <defs>\n",
-       "       <path id=\"m41de97c17c\" d=\"M 0 0 \n",
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        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- 1.8 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 387.088619)scale(0.12 -0.12)\">\n",
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        "     <g id=\"line2d_24\">\n",
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        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 2.0 -->\n",
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+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 332.851877) scale(0.12 -0.12)\">\n",
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@@ -38989,18 +38823,18 @@
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        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.2 -->\n",
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+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 278.434564) scale(0.12 -0.12)\">\n",
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@@ -39009,18 +38843,18 @@
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        "     <g id=\"line2d_28\">\n",
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+       "      <path d=\"M 48.8975 219.458188 \n",
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        "     </g>\n",
        "     <g id=\"line2d_29\">\n",
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        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 2.4 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 223.995867)scale(0.12 -0.12)\">\n",
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@@ -39050,18 +38884,18 @@
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        "     <g id=\"line2d_30\">\n",
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+       "      <path d=\"M 48.8975 165.040875 \n",
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        "     <g id=\"line2d_31\">\n",
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+       "       <use xlink:href=\"#m2236ef46b3\" x=\"48.8975\" y=\"165.040875\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 2.6 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 169.631617)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 169.599938) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
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@@ -39102,18 +38936,18 @@
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        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_32\">\n",
-       "      <path d=\"M 48.8975 110.708304 \n",
-       "L 561.6 110.708304 \n",
-       "\" clip-path=\"url(#p9dddc15b94)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 48.8975 110.623562 \n",
+       "L 561.6 110.623562 \n",
+       "\" clip-path=\"url(#pab1353ac2a)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_33\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m41de97c17c\" x=\"48.8975\" y=\"110.708304\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m2236ef46b3\" x=\"48.8975\" y=\"110.623562\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 2.8 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 115.267366)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 115.182625) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-38\" x=\"95.410156\"/>\n",
@@ -39122,18 +38956,18 @@
        "    </g>\n",
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_34\">\n",
-       "      <path d=\"M 48.8975 56.344053 \n",
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+       "      <path d=\"M 48.8975 56.206249 \n",
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        "     </g>\n",
        "     <g id=\"line2d_35\">\n",
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        "     </g>\n",
        "     <g id=\"text_10\">\n",
        "      <!-- 3.0 -->\n",
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       "\n",
       "Problem solved on [482] point grid(s).\n",
       "Iteration 10\n",
-      "Current flame speed is is 235.3593 cm/s\n",
-      "Fitted true_speed is 215.4425 ± 4.2628 cm/s (2.0%)\n",
+      "Current flame speed is is 235.3565 cm/s\n",
+      "Fitted true_speed is 215.4622 ± 4.2600 cm/s (2.0%)\n",
       "Estimated error in final calculation 8.6%\n",
       "Estimated total error 10.6%\n"
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+       "       <use xlink:href=\"#mb24d17ece5\" x=\"555.209873\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.6\"/>\n",
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        "    </g>\n",
        "    <g id=\"text_3\">\n",
        "     <!-- Grid size -->\n",
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+       "     <g style=\"fill: #555555\" transform=\"translate(279.116875 415.104375) scale(0.12 -0.12)\">\n",
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@@ -40104,23 +39938,23 @@
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        "     <g id=\"line2d_24\">\n",
        "      <defs>\n",
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        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- 2.1 -->\n",
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@@ -40138,18 +39972,18 @@
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        "      <!-- 2.2 -->\n",
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@@ -40158,18 +39992,18 @@
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        "     <g id=\"text_6\">\n",
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@@ -40178,18 +40012,18 @@
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@@ -40219,18 +40053,18 @@
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        "      <!-- 2.5 -->\n",
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@@ -40266,18 +40100,18 @@
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        "     <g id=\"line2d_33\">\n",
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       "\n",
       "Problem solved on [627] point grid(s).\n",
       "Iteration 11\n",
-      "Current flame speed is is 234.1704 cm/s\n",
-      "Fitted true_speed is 225.3038 ± 2.1569 cm/s (1.0%)\n",
+      "Current flame speed is is 234.1690 cm/s\n",
+      "Fitted true_speed is 225.3146 ± 2.1534 cm/s (1.0%)\n",
       "Estimated error in final calculation 3.6%\n",
       "Estimated total error 4.6%\n"
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       "\n",
       "Problem solved on [825] point grid(s).\n",
       "Iteration 12\n",
-      "Current flame speed is is 233.5853 cm/s\n",
-      "Fitted true_speed is 229.6841 ± 0.8951 cm/s (0.4%)\n",
+      "Current flame speed is is 233.5845 cm/s\n",
+      "Fitted true_speed is 229.6882 ± 0.8939 cm/s (0.4%)\n",
       "Estimated error in final calculation 1.6%\n",
       "Estimated total error 1.9%\n"
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       "\n",
       "Problem solved on [942] point grid(s).\n",
       "Iteration 13\n",
-      "Current flame speed is is 233.3036 cm/s\n",
-      "Fitted true_speed is 231.1310 ± 0.2488 cm/s (0.1%)\n",
+      "Current flame speed is is 233.3031 cm/s\n",
+      "Fitted true_speed is 231.1330 ± 0.2485 cm/s (0.1%)\n",
       "Estimated error in final calculation 0.9%\n",
       "Estimated total error 1.0%\n"
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       "\n",
       "Problem solved on [985] point grid(s).\n",
       "Iteration 14\n",
-      "Current flame speed is is 233.2646 cm/s\n",
-      "Fitted true_speed is 231.6425 ± 0.0624 cm/s (0.0%)\n",
+      "Current flame speed is is 233.2641 cm/s\n",
+      "Fitted true_speed is 231.6437 ± 0.0624 cm/s (0.0%)\n",
       "Estimated error in final calculation 0.7%\n",
       "Estimated total error 0.7%\n"
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       "\n",
       "Problem solved on [987] point grid(s).\n",
       "Iteration 15\n",
-      "Current flame speed is is 233.2546 cm/s\n",
-      "Fitted true_speed is 231.5629 ± 0.1390 cm/s (0.1%)\n",
+      "Current flame speed is is 233.2541 cm/s\n",
+      "Fitted true_speed is 231.5636 ± 0.1389 cm/s (0.1%)\n",
       "Estimated error in final calculation 0.7%\n",
       "Estimated total error 0.8%\n"
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        "     <!-- Grid size -->\n",
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        "      <defs>\n",
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        "     <g id=\"text_4\">\n",
        "      <!-- 2.20 -->\n",
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@@ -46023,18 +45857,18 @@
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@@ -46092,18 +45926,18 @@
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+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 168.99126) scale(0.12 -0.12)\">\n",
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@@ -46113,18 +45947,18 @@
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        "     <g id=\"text_8\">\n",
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@@ -46155,18 +45989,18 @@
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+       "      <path d=\"M 56.5325 19.883443 \n",
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        "     <g id=\"line2d_39\">\n",
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-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 24.462741)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 24.442505) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
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@@ -46176,7 +46010,7 @@
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   {
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+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fitted true_speed is 231.5629 ± 0.1390 cm/s (0.1%)\n",
+      "Fitted true_speed is 231.5636 ± 0.1389 cm/s (0.1%)\n",
       "Estimated error in final calculation 0.7%\n",
       "Estimated total error 0.8%\n"
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        "     </g>\n",
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        "    <g id=\"text_3\">\n",
        "     <!-- Grid size -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(282.934375 415.104375)scale(0.12 -0.12)\">\n",
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@@ -47178,23 +47012,23 @@
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+       "      <path d=\"M 56.5325 381.255329 \n",
+       "L 561.6 381.255329 \n",
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        "     <g id=\"line2d_29\">\n",
        "      <defs>\n",
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-       "       <use xlink:href=\"#mcdfe37949a\" x=\"56.5325\" y=\"381.243615\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     <g id=\"text_4\">\n",
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+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 385.814391) scale(0.12 -0.12)\">\n",
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@@ -47213,18 +47047,18 @@
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@@ -47261,18 +47095,18 @@
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@@ -47787,7 +47621,7 @@
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@@ -47810,7 +47644,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
     {
@@ -47818,84 +47652,84 @@
      "output_type": "stream",
      "text": [
       "[31, 31, 55, 100]\n",
-      "Fitted true_speed is 468.2309 ± 24.3647 cm/s (5.2%)\n",
+      "Fitted true_speed is 468.1312 ± 24.3574 cm/s (5.2%)\n",
       "Estimated error in final calculation -17.7%\n",
       "Estimated total error 22.9%\n",
       "Actual extrapolated error (with hindsight) 102.2%\n",
       "Actual raw error (with hindsight) 60.4%\n",
       "\n",
       "[31, 31, 55, 100, 168]\n",
-      "Fitted true_speed is 387.1014 ± 56.3305 cm/s (14.6%)\n",
+      "Fitted true_speed is 387.0255 ± 56.3136 cm/s (14.6%)\n",
       "Estimated error in final calculation -7.8%\n",
       "Estimated total error 22.4%\n",
-      "Actual extrapolated error (with hindsight) 67.2%\n",
+      "Actual extrapolated error (with hindsight) 67.1%\n",
       "Actual raw error (with hindsight) 30.8%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211]\n",
-      "Fitted true_speed is 277.4906 ± 45.1457 cm/s (16.3%)\n",
+      "Fitted true_speed is 277.4475 ± 45.1324 cm/s (16.3%)\n",
       "Estimated error in final calculation 7.6%\n",
-      "Estimated total error 23.9%\n",
+      "Estimated total error 23.8%\n",
       "Actual extrapolated error (with hindsight) 19.8%\n",
-      "Actual raw error (with hindsight) 16.3%\n",
+      "Actual raw error (with hindsight) 16.2%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258]\n",
-      "Fitted true_speed is 179.2537 ± 9.0126 cm/s (5.0%)\n",
+      "Fitted true_speed is 179.2606 ± 9.0015 cm/s (5.0%)\n",
       "Estimated error in final calculation 42.1%\n",
       "Estimated total error 47.1%\n",
       "Actual extrapolated error (with hindsight) 22.6%\n",
       "Actual raw error (with hindsight) 8.6%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314]\n",
-      "Fitted true_speed is 167.9934 ± 10.3013 cm/s (6.1%)\n",
-      "Estimated error in final calculation 42.1%\n",
-      "Estimated total error 48.2%\n",
-      "Actual extrapolated error (with hindsight) 27.5%\n",
+      "Fitted true_speed is 168.0459 ± 10.3078 cm/s (6.1%)\n",
+      "Estimated error in final calculation 42.0%\n",
+      "Estimated total error 48.1%\n",
+      "Actual extrapolated error (with hindsight) 27.4%\n",
       "Actual raw error (with hindsight) 4.6%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384]\n",
-      "Fitted true_speed is 196.6286 ± 7.4813 cm/s (3.8%)\n",
+      "Fitted true_speed is 196.6826 ± 7.4651 cm/s (3.8%)\n",
       "Estimated error in final calculation 19.7%\n",
       "Estimated total error 23.5%\n",
       "Actual extrapolated error (with hindsight) 15.1%\n",
       "Actual raw error (with hindsight) 2.6%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482]\n",
-      "Fitted true_speed is 215.4425 ± 4.2628 cm/s (2.0%)\n",
+      "Fitted true_speed is 215.4622 ± 4.2600 cm/s (2.0%)\n",
       "Estimated error in final calculation 8.6%\n",
       "Estimated total error 10.6%\n",
       "Actual extrapolated error (with hindsight) 7.0%\n",
       "Actual raw error (with hindsight) 1.6%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482, 627]\n",
-      "Fitted true_speed is 225.3038 ± 2.1569 cm/s (1.0%)\n",
+      "Fitted true_speed is 225.3146 ± 2.1534 cm/s (1.0%)\n",
       "Estimated error in final calculation 3.6%\n",
       "Estimated total error 4.6%\n",
       "Actual extrapolated error (with hindsight) 2.7%\n",
       "Actual raw error (with hindsight) 1.1%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482, 627, 825]\n",
-      "Fitted true_speed is 229.6841 ± 0.8951 cm/s (0.4%)\n",
+      "Fitted true_speed is 229.6882 ± 0.8939 cm/s (0.4%)\n",
       "Estimated error in final calculation 1.6%\n",
       "Estimated total error 1.9%\n",
       "Actual extrapolated error (with hindsight) 0.8%\n",
       "Actual raw error (with hindsight) 0.9%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482, 627, 825, 942]\n",
-      "Fitted true_speed is 231.1310 ± 0.2488 cm/s (0.1%)\n",
+      "Fitted true_speed is 231.1330 ± 0.2485 cm/s (0.1%)\n",
       "Estimated error in final calculation 0.9%\n",
       "Estimated total error 1.0%\n",
       "Actual extrapolated error (with hindsight) 0.2%\n",
       "Actual raw error (with hindsight) 0.8%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482, 627, 825, 942, 985]\n",
-      "Fitted true_speed is 231.6425 ± 0.0624 cm/s (0.0%)\n",
+      "Fitted true_speed is 231.6437 ± 0.0624 cm/s (0.0%)\n",
       "Estimated error in final calculation 0.7%\n",
       "Estimated total error 0.7%\n",
       "Actual extrapolated error (with hindsight) 0.0%\n",
       "Actual raw error (with hindsight) 0.7%\n",
       "\n",
       "[31, 31, 55, 100, 168, 211, 258, 314, 384, 482, 627, 825, 942, 985, 987]\n",
-      "Fitted true_speed is 231.5629 ± 0.1390 cm/s (0.1%)\n",
+      "Fitted true_speed is 231.5636 ± 0.1389 cm/s (0.1%)\n",
       "Estimated error in final calculation 0.7%\n",
       "Estimated total error 0.8%\n",
       "Actual extrapolated error (with hindsight) 0.0%\n",
@@ -47914,11 +47748,11 @@
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-       "      <use xlink:href=\"#m1401431a92\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "      <use xlink:href=\"#m6e71df9717\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_12\">\n",
        "     <!-- estimated error -->\n",
-       "     <g transform=\"translate(461.365625 70.096437)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 70.096437) scale(0.1 -0.1)\">\n",
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@@ -49430,7 +49264,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
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+       "  <clipPath id=\"pd3ae9b740f\">\n",
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@@ -49490,75 +49324,75 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>100</th>\n",
-       "      <td>60.433375</td>\n",
-       "      <td>102.204601</td>\n",
-       "      <td>22.938452</td>\n",
+       "      <td>60.391857</td>\n",
+       "      <td>102.160937</td>\n",
+       "      <td>22.941655</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>168</th>\n",
-       "      <td>30.820987</td>\n",
-       "      <td>67.168993</td>\n",
-       "      <td>22.396288</td>\n",
+       "      <td>30.792503</td>\n",
+       "      <td>67.135681</td>\n",
+       "      <td>22.397651</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>211</th>\n",
-       "      <td>16.267603</td>\n",
-       "      <td>19.833797</td>\n",
-       "      <td>23.852404</td>\n",
+       "      <td>16.244722</td>\n",
+       "      <td>19.814787</td>\n",
+       "      <td>23.844963</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>258</th>\n",
-       "      <td>8.575273</td>\n",
-       "      <td>22.589633</td>\n",
-       "      <td>47.104781</td>\n",
+       "      <td>8.565925</td>\n",
+       "      <td>22.586881</td>\n",
+       "      <td>47.073794</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>314</th>\n",
-       "      <td>4.647441</td>\n",
-       "      <td>27.452357</td>\n",
-       "      <td>48.199529</td>\n",
+       "      <td>4.641706</td>\n",
+       "      <td>27.429914</td>\n",
+       "      <td>48.149855</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>384</th>\n",
-       "      <td>2.649840</td>\n",
-       "      <td>15.086337</td>\n",
-       "      <td>23.496173</td>\n",
+       "      <td>2.647045</td>\n",
+       "      <td>15.063273</td>\n",
+       "      <td>23.453250</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>482</th>\n",
-       "      <td>1.639446</td>\n",
-       "      <td>6.961591</td>\n",
-       "      <td>10.594450</td>\n",
+       "      <td>1.637931</td>\n",
+       "      <td>6.953373</td>\n",
+       "      <td>10.582288</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>627</th>\n",
-       "      <td>1.126037</td>\n",
-       "      <td>2.703000</td>\n",
-       "      <td>4.575026</td>\n",
+       "      <td>1.125118</td>\n",
+       "      <td>2.698635</td>\n",
+       "      <td>4.568336</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>825</th>\n",
-       "      <td>0.873342</td>\n",
-       "      <td>0.811349</td>\n",
-       "      <td>1.946106</td>\n",
+       "      <td>0.872723</td>\n",
+       "      <td>0.809901</td>\n",
+       "      <td>1.943660</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>942</th>\n",
-       "      <td>0.751724</td>\n",
-       "      <td>0.186538</td>\n",
-       "      <td>1.026864</td>\n",
+       "      <td>0.751198</td>\n",
+       "      <td>0.185981</td>\n",
+       "      <td>1.025681</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>985</th>\n",
-       "      <td>0.734880</td>\n",
-       "      <td>0.034371</td>\n",
-       "      <td>0.722782</td>\n",
+       "      <td>0.734359</td>\n",
+       "      <td>0.034590</td>\n",
+       "      <td>0.722065</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>987</th>\n",
-       "      <td>0.730554</td>\n",
+       "      <td>0.730035</td>\n",
        "      <td>0.000000</td>\n",
-       "      <td>0.787869</td>\n",
+       "      <td>0.787288</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -49569,35 +49403,35 @@
        "31                         NaN                                 NaN   \n",
        "31                         NaN                                 NaN   \n",
        "55                         NaN                                 NaN   \n",
-       "100                  60.433375                          102.204601   \n",
-       "168                  30.820987                           67.168993   \n",
-       "211                  16.267603                           19.833797   \n",
-       "258                   8.575273                           22.589633   \n",
-       "314                   4.647441                           27.452357   \n",
-       "384                   2.649840                           15.086337   \n",
-       "482                   1.639446                            6.961591   \n",
-       "627                   1.126037                            2.703000   \n",
-       "825                   0.873342                            0.811349   \n",
-       "942                   0.751724                            0.186538   \n",
-       "985                   0.734880                            0.034371   \n",
-       "987                   0.730554                            0.000000   \n",
+       "100                  60.391857                          102.160937   \n",
+       "168                  30.792503                           67.135681   \n",
+       "211                  16.244722                           19.814787   \n",
+       "258                   8.565925                           22.586881   \n",
+       "314                   4.641706                           27.429914   \n",
+       "384                   2.647045                           15.063273   \n",
+       "482                   1.637931                            6.953373   \n",
+       "627                   1.125118                            2.698635   \n",
+       "825                   0.872723                            0.809901   \n",
+       "942                   0.751198                            0.185981   \n",
+       "985                   0.734359                            0.034590   \n",
+       "987                   0.730035                            0.000000   \n",
        "\n",
        "     estimated error  \n",
        "31               NaN  \n",
        "31               NaN  \n",
        "55               NaN  \n",
-       "100        22.938452  \n",
-       "168        22.396288  \n",
-       "211        23.852404  \n",
-       "258        47.104781  \n",
-       "314        48.199529  \n",
-       "384        23.496173  \n",
-       "482        10.594450  \n",
-       "627         4.575026  \n",
-       "825         1.946106  \n",
-       "942         1.026864  \n",
-       "985         0.722782  \n",
-       "987         0.787869  "
+       "100        22.941655  \n",
+       "168        22.397651  \n",
+       "211        23.844963  \n",
+       "258        47.073794  \n",
+       "314        48.149855  \n",
+       "384        23.453250  \n",
+       "482        10.582288  \n",
+       "627         4.568336  \n",
+       "825         1.943660  \n",
+       "942         1.025681  \n",
+       "985         0.722065  \n",
+       "987         0.787288  "
       ]
      },
      "metadata": {},
@@ -49617,7 +49451,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -49626,7 +49460,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 29,
    "metadata": {
     "scrolled": true
    },
@@ -49674,16 +49508,16 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      3.56e-06      7.491\n",
+      "Take 10 timesteps     2.373e-06      7.429\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      9.01e-06      6.694\n",
+      "Take 10 timesteps     6.007e-06      7.408\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001539      5.261\n",
+      "Take 10 timesteps     0.0001026      5.606\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [28] point grid(s).\n",
       "Iteration 1\n",
-      "Current flame speed is is 196.3821 cm/s\n",
+      "Current flame speed is is 196.2847 cm/s\n",
       "\n",
       "..............................................................................\n",
       "grid refinement disabled.\n",
@@ -49695,7 +49529,7 @@
       "\n",
       "Problem solved on [28] point grid(s).\n",
       "Iteration 2\n",
-      "Current flame speed is is 196.3808 cm/s\n",
+      "Current flame speed is is 196.2849 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -49711,7 +49545,7 @@
       "\n",
       "Problem solved on [36] point grid(s).\n",
       "Iteration 3\n",
-      "Current flame speed is is 338.8902 cm/s\n",
+      "Current flame speed is is 338.7851 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -49727,7 +49561,7 @@
       "\n",
       "Problem solved on [43] point grid(s).\n",
       "Iteration 4\n",
-      "Current flame speed is is 371.5041 cm/s\n",
+      "Current flame speed is is 371.4091 cm/s\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
@@ -49741,8 +49575,8 @@
       "\n",
       "Problem solved on [51] point grid(s).\n",
       "Iteration 5\n",
-      "Current flame speed is is 302.9253 cm/s\n",
-      "Fitted true_speed is 515.4742 ± 144.0158 cm/s (27.9%)\n",
+      "Current flame speed is is 302.8603 cm/s\n",
+      "Fitted true_speed is 515.4260 ± 143.9783 cm/s (27.9%)\n",
       "Estimated error in final calculation -30.5%\n",
       "Estimated total error 58.4%\n"
      ]
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       "\n",
       "Problem solved on [61] point grid(s).\n",
       "Iteration 6\n",
-      "Current flame speed is is 269.2051 cm/s\n",
-      "Fitted true_speed is 169.2640 ± 90.5894 cm/s (53.5%)\n",
-      "Estimated error in final calculation 67.4%\n",
-      "Estimated total error 120.9%\n"
+      "Current flame speed is is 269.1529 cm/s\n",
+      "Fitted true_speed is 169.2920 ± 90.5725 cm/s (53.5%)\n",
+      "Estimated error in final calculation 67.3%\n",
+      "Estimated total error 120.8%\n"
      ]
     },
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       "\n",
       "Problem solved on [74] point grid(s).\n",
       "Iteration 7\n",
-      "Current flame speed is is 251.2929 cm/s\n",
-      "Fitted true_speed is 74.8171 ± 37.9547 cm/s (50.7%)\n",
-      "Estimated error in final calculation 222.3%\n",
-      "Estimated total error 273.0%\n"
+      "Current flame speed is is 251.2720 cm/s\n",
+      "Fitted true_speed is 74.8902 ± 37.9581 cm/s (50.7%)\n",
+      "Estimated error in final calculation 222.0%\n",
+      "Estimated total error 272.6%\n"
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       "\n",
       "Problem solved on [93] point grid(s).\n",
       "Iteration 8\n",
-      "Current flame speed is is 242.1498 cm/s\n",
-      "Fitted true_speed is 163.0667 ± 17.8966 cm/s (11.0%)\n",
+      "Current flame speed is is 242.1372 cm/s\n",
+      "Fitted true_speed is 163.1254 ± 17.8971 cm/s (11.0%)\n",
       "Estimated error in final calculation 45.2%\n",
-      "Estimated total error 56.2%\n"
+      "Estimated total error 56.1%\n"
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       "\n",
       "Problem solved on [114] point grid(s).\n",
       "Iteration 9\n",
-      "Current flame speed is is 237.2099 cm/s\n",
-      "Fitted true_speed is 198.5756 ± 7.6588 cm/s (3.9%)\n",
-      "Estimated error in final calculation 18.4%\n",
+      "Current flame speed is is 237.2039 cm/s\n",
+      "Fitted true_speed is 198.6249 ± 7.6417 cm/s (3.8%)\n",
+      "Estimated error in final calculation 18.3%\n",
       "Estimated total error 22.2%\n"
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       "\n",
       "Problem solved on [129] point grid(s).\n",
       "Iteration 10\n",
-      "Current flame speed is is 234.8569 cm/s\n",
-      "Fitted true_speed is 212.2393 ± 1.7472 cm/s (0.8%)\n",
+      "Current flame speed is is 234.8525 cm/s\n",
+      "Fitted true_speed is 212.2587 ± 1.7464 cm/s (0.8%)\n",
       "Estimated error in final calculation 10.4%\n",
-      "Estimated total error 11.3%\n"
+      "Estimated total error 11.2%\n"
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       "\n",
       "Problem solved on [133] point grid(s).\n",
       "Iteration 11\n",
-      "Current flame speed is is 234.6094 cm/s\n",
-      "Fitted true_speed is 216.5803 ± 0.7124 cm/s (0.3%)\n",
+      "Current flame speed is is 234.6051 cm/s\n",
+      "Fitted true_speed is 216.5964 ± 0.7098 cm/s (0.3%)\n",
       "Estimated error in final calculation 8.2%\n",
-      "Estimated total error 8.6%\n"
+      "Estimated total error 8.5%\n"
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   },
   {
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-   "execution_count": 27,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
@@ -57483,58 +57266,58 @@
      "output_type": "stream",
      "text": [
       "[28, 28, 36, 43]\n",
-      "Fitted true_speed is 729.6795 ± 52.4598 cm/s (7.2%)\n",
+      "Fitted true_speed is 729.5779 ± 52.4436 cm/s (7.2%)\n",
       "Estimated error in final calculation -47.3%\n",
       "Estimated total error 54.4%\n",
       "Actual extrapolated error (with hindsight) 215.1%\n",
       "Actual raw error (with hindsight) 60.4%\n",
       "\n",
       "[28, 28, 36, 43, 51]\n",
-      "Fitted true_speed is 515.4742 ± 144.0158 cm/s (27.9%)\n",
+      "Fitted true_speed is 515.4260 ± 143.9783 cm/s (27.9%)\n",
       "Estimated error in final calculation -30.5%\n",
       "Estimated total error 58.4%\n",
       "Actual extrapolated error (with hindsight) 122.6%\n",
       "Actual raw error (with hindsight) 30.8%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61]\n",
-      "Fitted true_speed is 169.2640 ± 90.5894 cm/s (53.5%)\n",
-      "Estimated error in final calculation 67.4%\n",
-      "Estimated total error 120.9%\n",
+      "Fitted true_speed is 169.2920 ± 90.5725 cm/s (53.5%)\n",
+      "Estimated error in final calculation 67.3%\n",
+      "Estimated total error 120.8%\n",
       "Actual extrapolated error (with hindsight) 26.9%\n",
-      "Actual raw error (with hindsight) 16.3%\n",
+      "Actual raw error (with hindsight) 16.2%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61, 74]\n",
-      "Fitted true_speed is 74.8171 ± 37.9547 cm/s (50.7%)\n",
-      "Estimated error in final calculation 222.3%\n",
-      "Estimated total error 273.0%\n",
+      "Fitted true_speed is 74.8902 ± 37.9581 cm/s (50.7%)\n",
+      "Estimated error in final calculation 222.0%\n",
+      "Estimated total error 272.6%\n",
       "Actual extrapolated error (with hindsight) 67.7%\n",
       "Actual raw error (with hindsight) 8.5%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61, 74, 93]\n",
-      "Fitted true_speed is 163.0667 ± 17.8966 cm/s (11.0%)\n",
+      "Fitted true_speed is 163.1254 ± 17.8971 cm/s (11.0%)\n",
       "Estimated error in final calculation 45.2%\n",
-      "Estimated total error 56.2%\n",
+      "Estimated total error 56.1%\n",
       "Actual extrapolated error (with hindsight) 29.6%\n",
       "Actual raw error (with hindsight) 4.6%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61, 74, 93, 114]\n",
-      "Fitted true_speed is 198.5756 ± 7.6588 cm/s (3.9%)\n",
-      "Estimated error in final calculation 18.4%\n",
+      "Fitted true_speed is 198.6249 ± 7.6417 cm/s (3.8%)\n",
+      "Estimated error in final calculation 18.3%\n",
       "Estimated total error 22.2%\n",
       "Actual extrapolated error (with hindsight) 14.2%\n",
       "Actual raw error (with hindsight) 2.4%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61, 74, 93, 114, 129]\n",
-      "Fitted true_speed is 212.2393 ± 1.7472 cm/s (0.8%)\n",
+      "Fitted true_speed is 212.2587 ± 1.7464 cm/s (0.8%)\n",
       "Estimated error in final calculation 10.4%\n",
-      "Estimated total error 11.3%\n",
+      "Estimated total error 11.2%\n",
       "Actual extrapolated error (with hindsight) 8.3%\n",
       "Actual raw error (with hindsight) 1.4%\n",
       "\n",
       "[28, 28, 36, 43, 51, 61, 74, 93, 114, 129, 133]\n",
-      "Fitted true_speed is 216.5803 ± 0.7124 cm/s (0.3%)\n",
+      "Fitted true_speed is 216.5964 ± 0.7098 cm/s (0.3%)\n",
       "Estimated error in final calculation 8.2%\n",
-      "Estimated total error 8.6%\n",
+      "Estimated total error 8.5%\n",
       "Actual extrapolated error (with hindsight) 6.5%\n",
       "Actual raw error (with hindsight) 1.3%\n",
       "\n"
@@ -57551,11 +57334,11 @@
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+       "     <use xlink:href=\"#meb1a807055\" x=\"226.786888\" y=\"90.286519\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "     <use xlink:href=\"#meb1a807055\" x=\"304.165073\" y=\"40.47042\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "     <use xlink:href=\"#meb1a807055\" x=\"395.699131\" y=\"137.204463\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "     <use xlink:href=\"#meb1a807055\" x=\"477.245886\" y=\"194.021461\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
+       "     <use xlink:href=\"#meb1a807055\" x=\"526.756537\" y=\"235.601982\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
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        "   <g id=\"patch_3\">\n",
@@ -58515,7 +58298,7 @@
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-       "    <g transform=\"translate(132.463187 18.14175)scale(0.144 -0.144)\">\n",
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        "     <defs>\n",
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@@ -58802,12 +58585,12 @@
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-       "      <use xlink:href=\"#m495f1eeaa8\" x=\"443.365625\" y=\"37.240187\" style=\"fill: #4c72b0; stroke: #4c72b0\"/>\n",
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-       "     <g transform=\"translate(461.365625 40.740187)scale(0.1 -0.1)\">\n",
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@@ -58843,12 +58626,12 @@
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        "     <g>\n",
-       "      <use xlink:href=\"#m5a457c90bf\" x=\"443.365625\" y=\"51.918313\" style=\"fill: #55a868; stroke: #55a868\"/>\n",
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        "    </g>\n",
        "    <g id=\"text_9\">\n",
        "     <!-- extrapolated error -->\n",
-       "     <g transform=\"translate(461.365625 55.418313)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 55.418313) scale(0.1 -0.1)\">\n",
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        "       <path id=\"DejaVuSans-78\" d=\"M 3513 3500 \n",
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@@ -58892,12 +58675,12 @@
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-       "      <use xlink:href=\"#m6e18125dff\" x=\"443.365625\" y=\"66.596437\" style=\"fill: #c44e52; stroke: #c44e52\"/>\n",
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        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_10\">\n",
        "     <!-- estimated error -->\n",
-       "     <g transform=\"translate(461.365625 70.096437)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(461.365625 70.096437) scale(0.1 -0.1)\">\n",
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        "      <use xlink:href=\"#DejaVuSans-73\" x=\"61.523438\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-74\" x=\"113.623047\"/>\n",
@@ -58919,7 +58702,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p0fe4d63450\">\n",
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        "  </clipPath>\n",
        " </defs>\n",
@@ -58979,51 +58762,51 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>43</th>\n",
-       "      <td>60.433331</td>\n",
-       "      <td>215.110671</td>\n",
-       "      <td>54.440126</td>\n",
+       "      <td>60.391813</td>\n",
+       "      <td>215.065841</td>\n",
+       "      <td>54.445157</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>51</th>\n",
-       "      <td>30.817708</td>\n",
-       "      <td>122.606521</td>\n",
-       "      <td>58.417576</td>\n",
+       "      <td>30.789218</td>\n",
+       "      <td>122.585053</td>\n",
+       "      <td>58.421792</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>61</th>\n",
-       "      <td>16.255720</td>\n",
-       "      <td>26.903686</td>\n",
-       "      <td>120.895427</td>\n",
+       "      <td>16.232816</td>\n",
+       "      <td>26.891783</td>\n",
+       "      <td>120.817607</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>74</th>\n",
-       "      <td>8.520372</td>\n",
-       "      <td>67.690361</td>\n",
-       "      <td>273.037255</td>\n",
+       "      <td>8.510982</td>\n",
+       "      <td>67.658918</td>\n",
+       "      <td>272.645223</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>93</th>\n",
-       "      <td>4.571941</td>\n",
-       "      <td>29.579963</td>\n",
-       "      <td>56.196084</td>\n",
+       "      <td>4.566177</td>\n",
+       "      <td>29.554841</td>\n",
+       "      <td>56.134037</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>114</th>\n",
-       "      <td>2.438634</td>\n",
-       "      <td>14.245514</td>\n",
-       "      <td>22.226241</td>\n",
+       "      <td>2.435738</td>\n",
+       "      <td>14.224484</td>\n",
+       "      <td>22.186259</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>129</th>\n",
-       "      <td>1.422479</td>\n",
-       "      <td>8.344867</td>\n",
-       "      <td>11.259605</td>\n",
+       "      <td>1.420300</td>\n",
+       "      <td>8.336790</td>\n",
+       "      <td>11.247385</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>133</th>\n",
-       "      <td>1.315609</td>\n",
-       "      <td>6.470232</td>\n",
-       "      <td>8.560618</td>\n",
+       "      <td>1.313447</td>\n",
+       "      <td>6.463550</td>\n",
+       "      <td>8.549603</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -59034,27 +58817,27 @@
        "28                         NaN                                 NaN   \n",
        "28                         NaN                                 NaN   \n",
        "36                         NaN                                 NaN   \n",
-       "43                   60.433331                          215.110671   \n",
-       "51                   30.817708                          122.606521   \n",
-       "61                   16.255720                           26.903686   \n",
-       "74                    8.520372                           67.690361   \n",
-       "93                    4.571941                           29.579963   \n",
-       "114                   2.438634                           14.245514   \n",
-       "129                   1.422479                            8.344867   \n",
-       "133                   1.315609                            6.470232   \n",
+       "43                   60.391813                          215.065841   \n",
+       "51                   30.789218                          122.585053   \n",
+       "61                   16.232816                           26.891783   \n",
+       "74                    8.510982                           67.658918   \n",
+       "93                    4.566177                           29.554841   \n",
+       "114                   2.435738                           14.224484   \n",
+       "129                   1.420300                            8.336790   \n",
+       "133                   1.313447                            6.463550   \n",
        "\n",
        "     estimated error  \n",
        "28               NaN  \n",
        "28               NaN  \n",
        "36               NaN  \n",
-       "43         54.440126  \n",
-       "51         58.417576  \n",
-       "61        120.895427  \n",
-       "74        273.037255  \n",
-       "93         56.196084  \n",
-       "114        22.226241  \n",
-       "129        11.259605  \n",
-       "133         8.560618  "
+       "43         54.445157  \n",
+       "51         58.421792  \n",
+       "61        120.817607  \n",
+       "74        272.645223  \n",
+       "93         56.134037  \n",
+       "114        22.186259  \n",
+       "129        11.247385  \n",
+       "133         8.549603  "
       ]
      },
      "metadata": {},
@@ -59082,7 +58865,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.11.6"
   }
  },
  "nbformat": 4,
diff --git a/flames/flame_speed_with_sensitivity_analysis.ipynb b/flames/flame_speed_with_sensitivity_analysis.ipynb
index 43d60c8..3fc661a 100644
--- a/flames/flame_speed_with_sensitivity_analysis.ipynb
+++ b/flames/flame_speed_with_sensitivity_analysis.ipynb
@@ -26,14 +26,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Running Cantera Version: 2.6.0a4\n"
+      "Running Cantera Version: 3.0.0\n"
      ]
     }
    ],
@@ -47,7 +47,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -65,7 +65,7 @@
     "\n",
     "# Get the best of both ggplot and seaborn\n",
     "plt.style.use(\"ggplot\")\n",
-    "plt.style.use(\"seaborn-deep\")\n",
+    "plt.style.use(\"seaborn-v0_8-deep\")\n",
     "\n",
     "plt.rcParams[\"figure.autolayout\"] = True"
    ]
@@ -79,7 +79,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -106,7 +106,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -132,7 +132,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 10,
    "metadata": {
     "scrolled": true,
     "tags": []
@@ -147,15 +147,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.453\n",
+      "Take 10 timesteps     2.136e-05      5.455\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003649      4.427\n",
+      "Take 10 timesteps     0.0003649      4.425\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.624e-05      6.029\n",
+      "Take 10 timesteps     3.653e-05       5.86\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.468e-05      5.674\n",
+      "Take 10 timesteps     1.734e-05      6.005\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001333      4.122\n",
+      "Take 10 timesteps     0.0006666      4.488\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [9] point grid(s).\n",
@@ -170,19 +170,17 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.136e-05      5.751\n",
+      "Take 10 timesteps     2.136e-05       5.75\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     4.055e-05      5.579\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.887e-05      5.946\n",
-      "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.055e-05      6.111\n",
+      "Take 10 timesteps     5.773e-05      6.027\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001756      5.504\n",
+      "Take 10 timesteps      2.74e-05      5.924\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.172e-05      6.773\n",
+      "Take 10 timesteps     7.802e-05      5.655\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003003      4.727\n",
+      "Take 10 timesteps     1.852e-05      5.771\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [16] point grid(s).\n",
@@ -201,25 +199,25 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     3.604e-05      5.689\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     1.283e-05      6.138\n",
+      "Take 10 timesteps     9.622e-06      6.227\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001096      5.738\n",
+      "Take 10 timesteps     0.0001644      5.518\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     2.601e-05      6.051\n",
+      "Take 10 timesteps       1.3e-05      6.218\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.943e-06       6.87\n",
+      "Take 10 timesteps     2.083e-05      6.329\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.909e-05      5.845\n",
+      "Take 10 timesteps     5.932e-05       5.87\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     6.256e-06      6.574\n",
+      "Take 10 timesteps     1.056e-05      6.871\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001069      5.566\n",
+      "Take 10 timesteps     0.0001203      5.583\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      7.61e-05      5.773\n",
+      "Take 10 timesteps     8.561e-05      5.809\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     5.417e-05      5.296\n",
+      "Take 10 timesteps     6.095e-05      5.255\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001388      4.168\n",
+      "Take 10 timesteps      0.001562      4.092\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [23] point grid(s).\n",
@@ -243,7 +241,7 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.006\n",
+      "Take 10 timesteps     0.0001709      5.009\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [31] point grid(s).\n",
@@ -257,7 +255,7 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05      5.229\n",
+      "Take 10 timesteps     7.594e-05      5.214\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [42] point grid(s).\n",
@@ -324,7 +322,7 @@
       "\n",
       "..............................................................................\n",
       "no new points needed in flame\n",
-      "Flame Speed is: 38.23 cm/s\n"
+      "Flame Speed is: 38.25 cm/s\n"
      ]
     }
    ],
@@ -349,7 +347,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
@@ -363,11 +361,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T14:01:03.629086</dc:date>\n",
+       "    <dc:date>2023-11-05T18:45:05.434744</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -399,21 +397,21 @@
        "     <g id=\"line2d_1\">\n",
        "      <path d=\"M 83.13767 383.3725 \n",
        "L 83.13767 7.2 \n",
-       "\" clip-path=\"url(#p0c8f0a2bb8)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#pc19685d302)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_2\">\n",
        "      <defs>\n",
-       "       <path id=\"m3ba0f04e30\" d=\"M 0 0 \n",
+       "       <path id=\"mc6d7cab1f5\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3ba0f04e30\" x=\"83.13767\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mc6d7cab1f5\" x=\"83.13767\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- 0 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(79.32017 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(79.32017 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
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@@ -445,16 +443,16 @@
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        "      <path d=\"M 164.508815 383.3725 \n",
        "L 164.508815 7.2 \n",
-       "\" clip-path=\"url(#p0c8f0a2bb8)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#pc19685d302)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3ba0f04e30\" x=\"164.508815\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mc6d7cab1f5\" x=\"164.508815\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
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        "     <g id=\"text_2\">\n",
        "      <!-- 1 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(160.691315 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(160.691315 399.490625) scale(0.12 -0.12)\">\n",
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@@ -479,16 +477,16 @@
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        "L 245.879959 7.2 \n",
-       "\" clip-path=\"url(#p0c8f0a2bb8)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#pc19685d302)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_6\">\n",
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        "     <g id=\"text_3\">\n",
        "      <!-- 2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(242.062459 399.490625)scale(0.12 -0.12)\">\n",
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@@ -523,16 +521,16 @@
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        "L 327.251104 7.2 \n",
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+       "\" clip-path=\"url(#pc19685d302)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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        "     <g id=\"line2d_8\">\n",
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        "     <g id=\"text_4\">\n",
        "      <!-- 3 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(323.433604 399.490625)scale(0.12 -0.12)\">\n",
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@@ -575,16 +573,16 @@
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        "L 408.622248 7.2 \n",
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        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
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+       "       <use xlink:href=\"#mc6d7cab1f5\" x=\"408.622248\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
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        "     <g id=\"text_5\">\n",
        "      <!-- 4 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(404.804748 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(404.804748 399.490625) scale(0.12 -0.12)\">\n",
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@@ -614,16 +612,16 @@
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        "L 489.993393 7.2 \n",
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        "      <!-- 5 -->\n",
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@@ -657,7 +655,7 @@
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@@ -918,23 +916,23 @@
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-       "       <path id=\"meed7102162\" d=\"M 0 0 \n",
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        "     <g id=\"text_8\">\n",
        "      <!-- 250 -->\n",
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@@ -943,18 +941,18 @@
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+       "       <use xlink:href=\"#md8f7ed42d8\" x=\"60.35375\" y=\"330.821081\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
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        "     <g id=\"text_9\">\n",
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-       "      <g style=\"fill: #555555\" transform=\"translate(30.44875 335.377263)scale(0.12 -0.12)\">\n",
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@@ -963,18 +961,18 @@
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@@ -1458,7 +1456,7 @@
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        " </g>\n",
        " <defs>\n",
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@@ -1502,7 +1500,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
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-       "    <dc:date>2022-04-05T14:01:03.866256</dc:date>\n",
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        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
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        "      <defs>\n",
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-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m6b72ab559f\" x=\"167.530097\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1afa05fe7f\" x=\"167.530097\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- 1 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(163.712597 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(163.712597 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
        "L 1825 531 \n",
@@ -1632,16 +1630,16 @@
        "     <g id=\"line2d_5\">\n",
        "      <path d=\"M 248.282127 383.3725 \n",
        "L 248.282127 7.2 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m6b72ab559f\" x=\"248.282127\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1afa05fe7f\" x=\"248.282127\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- 2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(244.464627 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(244.464627 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -1676,16 +1674,16 @@
        "     <g id=\"line2d_7\">\n",
        "      <path d=\"M 329.034156 383.3725 \n",
        "L 329.034156 7.2 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m6b72ab559f\" x=\"329.034156\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1afa05fe7f\" x=\"329.034156\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- 3 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(325.216656 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(325.216656 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
        "Q 3050 2419 3304 2112 \n",
@@ -1728,16 +1726,16 @@
        "     <g id=\"line2d_9\">\n",
        "      <path d=\"M 409.786185 383.3725 \n",
        "L 409.786185 7.2 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m6b72ab559f\" x=\"409.786185\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1afa05fe7f\" x=\"409.786185\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 4 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(405.968685 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(405.968685 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
        "L 825 1625 \n",
@@ -1767,16 +1765,16 @@
        "     <g id=\"line2d_11\">\n",
        "      <path d=\"M 490.538214 383.3725 \n",
        "L 490.538214 7.2 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m6b72ab559f\" x=\"490.538214\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1afa05fe7f\" x=\"490.538214\" y=\"383.3725\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 5 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(486.720714 399.490625)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(486.720714 399.490625) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
        "L 3169 4666 \n",
@@ -1810,7 +1808,7 @@
        "    </g>\n",
        "    <g id=\"text_7\">\n",
        "     <!-- Distance (cm) -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(270.916562 415.104375)scale(0.12 -0.12)\">\n",
+       "     <g style=\"fill: #555555\" transform=\"translate(270.916562 415.104375) scale(0.12 -0.12)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-44\" d=\"M 1259 4147 \n",
        "L 1259 519 \n",
@@ -2073,21 +2071,21 @@
        "     <g id=\"line2d_13\">\n",
        "      <path d=\"M 64.1675 366.27375 \n",
        "L 561.6 366.27375 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_14\">\n",
        "      <defs>\n",
-       "       <path id=\"m1867ab5a94\" d=\"M 0 0 \n",
+       "       <path id=\"me2c0bf5440\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
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        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"366.27375\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"366.27375\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 0.000 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 370.832812)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 370.832812) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
        "L 1344 794 \n",
@@ -2107,18 +2105,18 @@
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_15\">\n",
-       "      <path d=\"M 64.1675 319.805723 \n",
-       "L 561.6 319.805723 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 319.804555 \n",
+       "L 561.6 319.804555 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"319.805723\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"319.804555\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 0.025 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 324.364785)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 324.363618) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2129,18 +2127,18 @@
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_17\">\n",
-       "      <path d=\"M 64.1675 273.337696 \n",
-       "L 561.6 273.337696 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 273.33536 \n",
+       "L 561.6 273.33536 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_18\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"273.337696\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"273.33536\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
        "      <!-- 0.050 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 277.896758)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 277.894423) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2151,18 +2149,18 @@
        "    </g>\n",
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_19\">\n",
-       "      <path d=\"M 64.1675 226.869669 \n",
-       "L 561.6 226.869669 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 226.866165 \n",
+       "L 561.6 226.866165 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_20\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"226.869669\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"226.866165\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
        "      <!-- 0.075 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 231.428731)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 231.425228) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -2185,18 +2183,18 @@
        "    </g>\n",
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_21\">\n",
-       "      <path d=\"M 64.1675 180.401642 \n",
-       "L 561.6 180.401642 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 180.396971 \n",
+       "L 561.6 180.396971 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_22\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"180.401642\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"180.396971\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
        "      <!-- 0.100 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 184.960704)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 184.956033) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -2207,18 +2205,18 @@
        "    </g>\n",
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_23\">\n",
-       "      <path d=\"M 64.1675 133.933615 \n",
-       "L 561.6 133.933615 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 133.927776 \n",
+       "L 561.6 133.927776 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_24\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"133.933615\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"133.927776\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
        "      <!-- 0.125 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 138.492677)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 138.486838) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -2229,18 +2227,18 @@
        "    </g>\n",
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_25\">\n",
-       "      <path d=\"M 64.1675 87.465588 \n",
-       "L 561.6 87.465588 \n",
-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 87.458581 \n",
+       "L 561.6 87.458581 \n",
+       "\" clip-path=\"url(#p7e94cfc5d9)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_26\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"87.465588\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"87.458581\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
        "      <!-- 0.150 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 92.02465)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 92.017643) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -2251,18 +2249,18 @@
        "    </g>\n",
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_27\">\n",
-       "      <path d=\"M 64.1675 40.997561 \n",
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-       "\" clip-path=\"url(#p541397cdae)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 64.1675 40.989386 \n",
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        "     </g>\n",
        "     <g id=\"line2d_28\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1867ab5a94\" x=\"64.1675\" y=\"40.997561\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me2c0bf5440\" x=\"64.1675\" y=\"40.989386\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
        "      <!-- 0.175 -->\n",
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+       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 45.548448) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -2273,7 +2271,7 @@
        "    </g>\n",
        "    <g id=\"text_16\">\n",
        "     <!-- MoleFractions -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(16.318125 236.57)rotate(-90)scale(0.12 -0.12)\">\n",
+       "     <g style=\"fill: #555555\" transform=\"translate(16.318125 236.57) rotate(-90) scale(0.12 -0.12)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-4d\" d=\"M 628 4666 \n",
        "L 1569 4666 \n",
@@ -2367,33 +2365,33 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"line2d_29\">\n",
-       "    <path d=\"M 86.778068 189.589237 \n",
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@@ -2982,12 +2980,12 @@
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        "    </g>\n",
        "    <g id=\"text_17\">\n",
        "     <!-- $CH_{4}$ -->\n",
-       "     <g transform=\"translate(101.1675 23.798437)scale(0.1 -0.1)\">\n",
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@@ -3032,7 +3030,7 @@
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@@ -3041,12 +3039,12 @@
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        "     <g>\n",
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        "    </g>\n",
        "    <g id=\"text_18\">\n",
        "     <!-- $CO_{2}$ -->\n",
-       "     <g transform=\"translate(101.1675 38.476562)scale(0.1 -0.1)\">\n",
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@@ -3080,7 +3078,7 @@
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        "    <g id=\"text_19\">\n",
        "     <!-- $H_{2}O$ -->\n",
-       "     <g transform=\"translate(101.1675 53.154687)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(101.1675 53.154687) scale(0.1 -0.1)\">\n",
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@@ -3104,7 +3102,7 @@
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        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p541397cdae\">\n",
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@@ -3146,7 +3144,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3163,7 +3161,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3173,7 +3171,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3198,7 +3196,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -3228,23 +3226,23 @@
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>2 O + M &lt;=&gt; O2 + M</th>\n",
-       "      <td>0.00157</td>\n",
+       "      <td>0.001548</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>H + O + M &lt;=&gt; OH + M</th>\n",
-       "      <td>0.001112</td>\n",
+       "      <td>0.00109</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>H2 + O &lt;=&gt; H + OH</th>\n",
-       "      <td>0.025264</td>\n",
+       "      <td>0.025247</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>HO2 + O &lt;=&gt; O2 + OH</th>\n",
-       "      <td>0.003139</td>\n",
+       "      <td>0.003123</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>H2O2 + O &lt;=&gt; HO2 + OH</th>\n",
-       "      <td>0.000755</td>\n",
+       "      <td>0.000735</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -3252,14 +3250,14 @@
       ],
       "text/plain": [
        "                      base_case\n",
-       "2 O + M <=> O2 + M      0.00157\n",
-       "H + O + M <=> OH + M   0.001112\n",
-       "H2 + O <=> H + OH      0.025264\n",
-       "HO2 + O <=> O2 + OH    0.003139\n",
-       "H2O2 + O <=> HO2 + OH  0.000755"
+       "2 O + M <=> O2 + M     0.001548\n",
+       "H + O + M <=> OH + M    0.00109\n",
+       "H2 + O <=> H + OH      0.025247\n",
+       "HO2 + O <=> O2 + OH    0.003123\n",
+       "H2O2 + O <=> HO2 + OH  0.000735"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -3277,7 +3275,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
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@@ -3291,11 +3289,11 @@
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-       "    <dc:date>2022-04-05T14:01:07.000197</dc:date>\n",
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        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
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        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -3325,23 +3323,23 @@
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@@ -3412,18 +3410,18 @@
        "    </g>\n",
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_3\">\n",
-       "      <path d=\"M 256.82313 376.74625 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 256.845846 376.74625 \n",
+       "L 256.845846 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"256.82313\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"256.845846\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −0.1 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(242.253443 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(242.276158 392.864375) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
        "L 1825 531 \n",
@@ -3449,18 +3447,18 @@
        "    </g>\n",
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_5\">\n",
-       "      <path d=\"M 300.883616 376.74625 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 300.887327 376.74625 \n",
+       "L 300.887327 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"300.883616\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"300.887327\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(291.341741 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(291.345452 392.864375) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -3469,18 +3467,18 @@
        "    </g>\n",
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_7\">\n",
-       "      <path d=\"M 344.944101 376.74625 \n",
-       "L 344.944101 24.14175 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 344.928809 376.74625 \n",
+       "L 344.928809 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"344.944101\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"344.928809\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- 0.1 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(335.402226 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(335.386934 392.864375) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -3489,18 +3487,18 @@
        "    </g>\n",
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_9\">\n",
-       "      <path d=\"M 389.004586 376.74625 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 388.97029 376.74625 \n",
+       "L 388.97029 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"389.004586\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"388.97029\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(379.462711 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(379.428415 392.864375) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
@@ -3509,18 +3507,18 @@
        "    </g>\n",
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_11\">\n",
-       "      <path d=\"M 433.065072 376.74625 \n",
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+       "      <path d=\"M 433.011772 376.74625 \n",
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+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"433.065072\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"433.011772\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 0.3 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(423.523197 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(423.469897 392.864375) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
        "Q 3050 2419 3304 2112 \n",
@@ -3563,18 +3561,18 @@
        "    </g>\n",
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_13\">\n",
-       "      <path d=\"M 477.125557 376.74625 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 477.053253 376.74625 \n",
+       "L 477.053253 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"477.125557\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"477.053253\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 0.4 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(467.583682 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(467.511378 392.864375) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
        "L 825 1625 \n",
@@ -3604,18 +3602,18 @@
        "    </g>\n",
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_15\">\n",
-       "      <path d=\"M 521.186043 376.74625 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "      <path d=\"M 521.094735 376.74625 \n",
+       "L 521.094735 24.14175 \n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d7bab99b6\" x=\"521.186043\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3a5ce9190c\" x=\"521.094735\" y=\"376.74625\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 0.5 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(511.644168 392.864375)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(511.55286 392.864375) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
        "L 3169 4666 \n",
@@ -3651,7 +3649,7 @@
        "    </g>\n",
        "    <g id=\"text_9\">\n",
        "     <!-- Sensitivity: $\\frac{\\partial\\:\\ln{S_{u}}}{\\partial\\:\\ln{k}}$ -->\n",
-       "     <g style=\"fill: #555555\" transform=\"translate(338.0975 412.56)scale(0.12 -0.12)\">\n",
+       "     <g style=\"fill: #555555\" transform=\"translate(338.0975 412.56) scale(0.12 -0.12)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
        "L 3425 3897 \n",
@@ -3953,15 +3951,15 @@
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        "      <use xlink:href=\"#DejaVuSans-3a\" transform=\"translate(520.605469 0.832969)\"/>\n",
        "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(554.296875 0.832969)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-2202\" transform=\"translate(586.083984 56.810938)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(637.433117 56.810938)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(656.881359 56.810938)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-Oblique-53\" transform=\"translate(712.611567 56.810938)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-Oblique-75\" transform=\"translate(757.04516 45.326562)scale(0.49)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-2202\" transform=\"translate(604.083984 -39.809219)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(655.433117 -39.809219)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(674.881359 -39.809219)scale(0.7)\"/>\n",
-       "      <use xlink:href=\"#DejaVuSans-Oblique-6b\" transform=\"translate(730.611567 -39.809219)scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-2202\" transform=\"translate(586.083984 56.810938) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(637.433117 56.810938) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(656.881359 56.810938) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-53\" transform=\"translate(712.611567 56.810938) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-75\" transform=\"translate(757.04516 45.326562) scale(0.49)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-2202\" transform=\"translate(604.083984 -39.809219) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(655.433117 -39.809219) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(674.881359 -39.809219) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6b\" transform=\"translate(730.611567 -39.809219) scale(0.7)\"/>\n",
        "      <path d=\"M 586.083984 19.629844 \n",
        "L 586.083984 25.879844 \n",
        "L 790.014887 25.879844 \n",
@@ -3977,21 +3975,21 @@
        "     <g id=\"line2d_17\">\n",
        "      <path d=\"M 210.955 35.895233 \n",
        "L 561.6 35.895233 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_18\">\n",
        "      <defs>\n",
-       "       <path id=\"m763d3670ae\" d=\"M 0 0 \n",
+       "       <path id=\"mbbbeb58b8b\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"35.895233\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"35.895233\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
        "      <!-- H + O2 &lt;=&gt; O + OH -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(76.771875 40.454296)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(76.771875 40.454296) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-48\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -4102,16 +4100,16 @@
        "     <g id=\"line2d_19\">\n",
        "      <path d=\"M 210.955 59.4022 \n",
        "L 561.6 59.4022 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_20\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"59.4022\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"59.4022\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
        "      <!-- CH3 + H (+M) &lt;=&gt; CH4 (+M) -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(22.201875 63.961262)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(22.201875 63.961262) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
        "L 4122 3641 \n",
@@ -4209,16 +4207,16 @@
        "     <g id=\"line2d_21\">\n",
        "      <path d=\"M 210.955 82.909167 \n",
        "L 561.6 82.909167 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_22\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"82.909167\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"82.909167\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
        "      <!-- CO + OH &lt;=&gt; CO2 + H -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(60.013125 87.468229)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(60.013125 87.468229) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-43\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-4f\" x=\"69.824219\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-20\" x=\"148.535156\"/>\n",
@@ -4245,16 +4243,16 @@
        "     <g id=\"line2d_23\">\n",
        "      <path d=\"M 210.955 106.416133 \n",
        "L 561.6 106.416133 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_24\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"106.416133\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"106.416133\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
        "      <!-- CH3 + OH &lt;=&gt; CH2(S) + H2O -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(19.15875 110.975196)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(19.15875 110.975196) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-43\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-48\" x=\"69.824219\"/>\n",
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@@ -4287,16 +4285,16 @@
        "     <g id=\"line2d_25\">\n",
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        "L 561.6 129.9231 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_26\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"129.9231\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"129.9231\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
        "      <!-- CH3 + HO2 &lt;=&gt; CH3O + OH -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(26.694375 134.482162)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(26.694375 134.482162) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-43\"/>\n",
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@@ -4327,16 +4325,16 @@
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        "L 561.6 153.430067 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_28\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"153.430067\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"153.430067\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
        "      <!-- H + O2 + H2O &lt;=&gt; HO2 + H2O -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(8.68875 157.989129)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(8.68875 157.989129) scale(0.12 -0.12)\">\n",
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@@ -4370,16 +4368,16 @@
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_30\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"176.937033\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"176.937033\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
        "      <!-- HCO + H2O &lt;=&gt; CO + H + H2O -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(7.2 181.496096)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(7.2 181.496096) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-43\" x=\"75.195312\"/>\n",
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@@ -4413,16 +4411,16 @@
        "     <g id=\"line2d_31\">\n",
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        "L 561.6 200.444 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_32\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m763d3670ae\" x=\"210.955\" y=\"200.444\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"200.444\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
        "      <!-- CH3 + O =&gt; CO + H + H2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(45.1725 205.003062)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(45.1725 205.003062) scale(0.12 -0.12)\">\n",
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@@ -4452,16 +4450,16 @@
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_34\">\n",
        "      <g>\n",
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+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"223.950967\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_18\">\n",
        "      <!-- HCO + M &lt;=&gt; CO + H + M -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(38.70375 228.510029)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(38.70375 228.510029) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-43\" x=\"75.195312\"/>\n",
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@@ -4491,16 +4489,16 @@
        "     <g id=\"line2d_35\">\n",
        "      <path d=\"M 210.955 247.457933 \n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_36\">\n",
        "      <g>\n",
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+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"247.457933\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_19\">\n",
        "      <!-- CH4 + OH &lt;=&gt; CH3 + H2O -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(36.140625 252.016996)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(36.140625 252.016996) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-43\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-48\" x=\"69.824219\"/>\n",
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@@ -4530,16 +4528,16 @@
        "     <g id=\"line2d_37\">\n",
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        "L 561.6 270.9649 \n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_38\">\n",
        "      <g>\n",
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+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"270.9649\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_20\">\n",
        "      <!-- H + HO2 &lt;=&gt; H2 + O2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(61.92375 275.523962)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(61.92375 275.523962) scale(0.12 -0.12)\">\n",
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        "       <use xlink:href=\"#DejaVuSans-20\" x=\"75.195312\"/>\n",
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@@ -4566,16 +4564,16 @@
        "     <g id=\"line2d_39\">\n",
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
        "     </g>\n",
        "     <g id=\"line2d_40\">\n",
        "      <g>\n",
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+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"294.471867\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_21\">\n",
        "      <!-- CH4 + H &lt;=&gt; CH3 + H2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(55.033125 299.030929)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(55.033125 299.030929) scale(0.12 -0.12)\">\n",
        "       <use xlink:href=\"#DejaVuSans-43\"/>\n",
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@@ -4603,16 +4601,16 @@
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        "     </g>\n",
        "     <g id=\"line2d_42\">\n",
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+       "       <use xlink:href=\"#mbbbeb58b8b\" x=\"210.955\" y=\"317.978833\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_22\">\n",
        "      <!-- 2 CH3 (+M) &lt;=&gt; C2H6 (+M) -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(29.825625 322.537896)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(29.825625 322.537896) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
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@@ -4676,16 +4674,16 @@
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-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
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        "     </g>\n",
        "     <g id=\"line2d_44\">\n",
        "      <g>\n",
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        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_23\">\n",
        "      <!-- H + HCO &lt;=&gt; CO + H2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(60.435 346.044862)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(60.435 346.044862) scale(0.12 -0.12)\">\n",
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@@ -4712,16 +4710,16 @@
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        "     </g>\n",
        "     <g id=\"line2d_46\">\n",
        "      <g>\n",
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        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_24\">\n",
        "      <!-- HCO + O2 &lt;=&gt; CO + HO2 -->\n",
-       "      <g style=\"fill: #555555\" transform=\"translate(42.931875 369.551829)scale(0.12 -0.12)\">\n",
+       "      <g style=\"fill: #555555\" transform=\"translate(42.931875 369.551829) scale(0.12 -0.12)\">\n",
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@@ -4748,124 +4746,124 @@
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        "   <g id=\"patch_3\">\n",
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+       "L 300.887327 206.320742 \n",
        "z\n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: #4c72b0\"/>\n",
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        "   </g>\n",
        "   <g id=\"patch_11\">\n",
-       "    <path d=\"M 300.883616 218.074225 \n",
-       "L 322.885019 218.074225 \n",
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-       "L 300.883616 229.827708 \n",
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        "z\n",
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        "   </g>\n",
        "   <g id=\"patch_12\">\n",
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-       "L 300.883616 253.334675 \n",
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        "z\n",
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        "   </g>\n",
        "   <g id=\"patch_13\">\n",
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-       "L 300.883616 276.841642 \n",
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+       "L 300.887327 276.841642 \n",
        "z\n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: #4c72b0\"/>\n",
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-       "L 300.883616 300.348608 \n",
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        "z\n",
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        "   </g>\n",
        "   <g id=\"patch_15\">\n",
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-       "L 286.675004 312.102092 \n",
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-       "L 300.883616 323.855575 \n",
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+       "L 300.887327 323.855575 \n",
        "z\n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: #4c72b0\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: #4c72b0\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_16\">\n",
-       "    <path d=\"M 300.883616 335.609058 \n",
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-       "L 300.883616 347.362542 \n",
+       "    <path d=\"M 300.887327 335.609058 \n",
+       "L 286.69643 335.609058 \n",
+       "L 286.69643 347.362542 \n",
+       "L 300.887327 347.362542 \n",
        "z\n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: #4c72b0\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: #4c72b0\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_17\">\n",
-       "    <path d=\"M 300.883616 359.116025 \n",
-       "L 287.148116 359.116025 \n",
-       "L 287.148116 370.869508 \n",
-       "L 300.883616 370.869508 \n",
+       "    <path d=\"M 300.887327 359.116025 \n",
+       "L 287.138193 359.116025 \n",
+       "L 287.138193 370.869508 \n",
+       "L 300.887327 370.869508 \n",
        "z\n",
-       "\" clip-path=\"url(#pf635f2bc21)\" style=\"fill: #4c72b0\"/>\n",
+       "\" clip-path=\"url(#p4ecaf6ed0f)\" style=\"fill: #4c72b0\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_18\">\n",
        "    <path d=\"M 210.955 376.74625 \n",
@@ -4889,7 +4887,7 @@
        "   </g>\n",
        "   <g id=\"text_25\">\n",
        "    <!-- Sensitivities for GRI 3.0 -->\n",
-       "    <g transform=\"translate(301.953125 18.14175)scale(0.144 -0.144)\">\n",
+       "    <g transform=\"translate(301.953125 18.14175) scale(0.144 -0.144)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-66\" d=\"M 2375 4863 \n",
        "L 2375 4384 \n",
@@ -5041,7 +5039,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pf635f2bc21\">\n",
+       "  <clipPath id=\"p4ecaf6ed0f\">\n",
        "   <rect x=\"210.955\" y=\"24.14175\" width=\"350.645\" height=\"352.6045\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -5095,7 +5093,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.13"
   }
  },
  "nbformat": 4,
diff --git a/flames/twin_premixed_flame_axisymmetric.ipynb b/flames/twin_premixed_flame_axisymmetric.ipynb
index 32f65ce..e36acf0 100644
--- a/flames/twin_premixed_flame_axisymmetric.ipynb
+++ b/flames/twin_premixed_flame_axisymmetric.ipynb
@@ -33,7 +33,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Running Cantera Version: 2.6.0a4\n"
+      "Running Cantera Version: 3.0.0\n"
      ]
     }
    ],
@@ -393,7 +393,7 @@
       "Attempt Newton solution of steady-state problem...    failure. \n",
       "Take 10 timesteps     0.0004865      5.141\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.008313      2.219\n",
+      "Take 10 timesteps      0.008313      2.215\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [7] point grid(s).\n",
@@ -433,11 +433,11 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001139      5.652\n",
+      "Take 10 timesteps     0.0001139      5.651\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001442      5.842\n",
+      "Take 10 timesteps     0.0001442      5.861\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.002463      3.921\n",
+      "Take 10 timesteps      0.002463      3.925\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [20] point grid(s).\n",
@@ -465,15 +465,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.594e-05       6.15\n",
+      "Take 10 timesteps     7.594e-05      6.153\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.208e-05      6.136\n",
+      "Take 10 timesteps     6.407e-05       6.19\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001368      5.859\n",
+      "Take 10 timesteps     0.0001825       5.78\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001299      5.765\n",
+      "Take 10 timesteps     0.0001732      5.637\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.002219      3.793\n",
+      "Take 10 timesteps      0.004439      3.542\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [39] point grid(s).\n",
@@ -488,13 +488,15 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     5.695e-05      5.871\n",
+      "Take 10 timesteps     5.695e-05      5.741\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     7.208e-05      6.079\n",
+      "Take 10 timesteps     7.208e-05      6.096\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     3.849e-05      5.896\n",
+      "Take 10 timesteps     0.0002053      4.868\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0002923      5.341\n",
+      "Take 10 timesteps     0.0001299      5.816\n",
+      "Attempt Newton solution of steady-state problem...    failure. \n",
+      "Take 10 timesteps      0.003329      3.518\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [45] point grid(s).\n",
@@ -510,7 +512,7 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.407\n",
+      "Take 10 timesteps     0.0001709      5.404\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [49] point grid(s).\n",
@@ -524,11 +526,11 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001139       5.78\n",
+      "Take 10 timesteps     0.0001709      5.746\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0005767      5.352\n",
+      "Take 10 timesteps     7.208e-05      5.914\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0003079      5.432\n",
+      "Take 10 timesteps     0.0008211       4.68\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [56] point grid(s).\n",
@@ -543,9 +545,7 @@
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0001709      5.602\n",
-      "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001297      4.468\n",
+      "Take 10 timesteps     0.0001709      5.591\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [63] point grid(s).\n",
@@ -553,17 +553,17 @@
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 45 46 47 48 49 50 51 52 \n",
-      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 46 velocity \n",
+      "    New points inserted after grid points 44 45 46 47 48 49 50 52 \n",
+      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 46 velocity \n",
       "##############################################################################\n",
       "refine: discarding point at 0.018437500000000002\n",
       "refine: discarding point at 0.018750000000000003\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps     0.0002563      5.242\n",
+      "Take 10 timesteps     0.0002563      5.224\n",
       "Attempt Newton solution of steady-state problem...    failure. \n",
-      "Take 10 timesteps      0.001946      4.415\n",
+      "Take 10 timesteps      0.001946      4.407\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
       "Problem solved on [69] point grid(s).\n",
@@ -571,8 +571,8 @@
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 42 50 51 52 53 54 55 56 57 \n",
-      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 42 point 53 velocity \n",
+      "    New points inserted after grid points 50 51 52 53 54 55 56 \n",
+      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 54 velocity \n",
       "##############################################################################\n",
       "refine: discarding point at 0.018281250000000002\n",
       "refine: discarding point at 0.018593750000000003\n",
@@ -582,70 +582,64 @@
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [74] point grid(s).\n",
+      "Problem solved on [72] point grid(s).\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 52 53 54 55 56 57 58 59 60 61 \n",
-      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 61 \n",
+      "    New points inserted after grid points 50 51 52 53 54 55 56 57 58 59 60 \n",
+      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 O O2 OH T point 58 velocity \n",
       "##############################################################################\n",
-      "refine: discarding point at 0.019687500000000004\n",
-      "refine: discarding point at 0.019921875000000006\n",
-      "\n",
-      "..............................................................................\n",
-      "Attempt Newton solution of steady-state problem...    success.\n",
-      "\n",
-      "Problem solved on [82] point grid(s).\n",
-      "\n",
-      "..............................................................................\n",
-      "##############################################################################\n",
-      "Refining grid in flame.\n",
-      "    New points inserted after grid points 49 50 54 55 56 57 58 59 60 61 \n",
-      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2OH CH3 CH3CHO CH3O HCCO HCO \n",
-      "##############################################################################\n",
-      "refine: discarding point at 0.019531250000000003\n",
       "\n",
       "..............................................................................\n",
+      "Attempt Newton solution of steady-state problem...    failure. \n",
+      "Take 10 timesteps     0.0002563       4.55\n",
+      "Attempt Newton solution of steady-state problem...    failure. \n",
+      "Take 10 timesteps      0.004379      3.726\n",
+      "Attempt Newton solution of steady-state problem...    failure. \n",
+      "Take 10 timesteps       0.02217      1.783\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [91] point grid(s).\n",
+      "Problem solved on [83] point grid(s).\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 43 45 46 49 53 54 55 \n",
-      "    to resolve C2H5 C2H6 C3H8 CH3O point 49 \n",
+      "    New points inserted after grid points 49 58 59 60 63 64 65 66 67 68 69 70 \n",
+      "    to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 O OH T point 49 point 70 velocity \n",
       "##############################################################################\n",
+      "refine: discarding point at 0.019687500000000004\n",
+      "refine: discarding point at 0.019921875000000006\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [98] point grid(s).\n",
+      "Problem solved on [93] point grid(s).\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 50 51 60 \n",
-      "    to resolve CH3O point 60 \n",
+      "    New points inserted after grid points 63 64 65 71 \n",
+      "    to resolve C2H2 C2H3 C2H5 C3H8 CH2 point 63 point 64 \n",
       "##############################################################################\n",
+      "refine: discarding point at 0.019531250000000003\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [101] point grid(s).\n",
+      "Problem solved on [96] point grid(s).\n",
       "\n",
       "..............................................................................\n",
       "##############################################################################\n",
       "Refining grid in flame.\n",
-      "    New points inserted after grid points 51 \n",
-      "    to resolve point 51 \n",
+      "    New points inserted after grid points 65 \n",
+      "    to resolve point 65 \n",
       "##############################################################################\n",
       "\n",
       "..............................................................................\n",
       "Attempt Newton solution of steady-state problem...    success.\n",
       "\n",
-      "Problem solved on [102] point grid(s).\n",
+      "Problem solved on [97] point grid(s).\n",
       "\n",
       "..............................................................................\n",
       "no new points needed in flame\n"
@@ -675,9 +669,9 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Peak temperature: 1920.9 K\n",
+      "Peak temperature: 1921.1 K\n",
       "Strain Rate: 163.7 1/s\n",
-      "Consumption Speed: 21.00 cm/s\n"
+      "Consumption Speed: 21.03 cm/s\n"
      ]
     }
    ],
@@ -721,11 +715,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T14:02:08.285794</dc:date>\n",
+       "    <dc:date>2023-11-05T18:57:36.834980</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -756,17 +750,17 @@
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        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
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+       "       <path id=\"m9c4e525ab5\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1d78fe7eb0\" x=\"58.468125\" y=\"381.436875\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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        "      </g>\n",
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        "     <g id=\"text_1\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(48.92625 397.555)scale(0.12 -0.12)\">\n",
+       "      <g transform=\"translate(48.92625 397.555) scale(0.12 -0.12)\">\n",
        "       <defs>\n",
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@@ -806,12 +800,12 @@
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-       "    <dc:date>2022-04-05T14:02:08.618654</dc:date>\n",
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        "    </g>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
@@ -4591,17 +4535,17 @@
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-       "L 77.468125 20.298438 \n",
-       "L 87.468125 20.298438 \n",
+       "     <path d=\"M 67.468125 20.298437 \n",
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        "     <g>\n",
-       "      <use xlink:href=\"#m88e30c0f31\" x=\"77.468125\" y=\"20.298438\" style=\"fill: #00bfbf; stroke: #00bfbf\"/>\n",
+       "      <use xlink:href=\"#m645fa27a81\" x=\"77.468125\" y=\"20.298437\" style=\"fill: #00bfbf; stroke: #00bfbf\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_17\">\n",
        "     <!-- $CH_{4}$ -->\n",
-       "     <g transform=\"translate(95.468125 23.798438)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(95.468125 23.798437) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
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@@ -4646,21 +4590,21 @@
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+       "     <path d=\"M 67.468125 34.976562 \n",
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+       "L 87.468125 34.976562 \n",
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        "     <g>\n",
-       "      <use xlink:href=\"#mf3661dd9c8\" x=\"77.468125\" y=\"34.976563\" style=\"fill: #bf00bf; stroke: #bf00bf; stroke-linejoin: miter\"/>\n",
+       "      <use xlink:href=\"#m296006f388\" x=\"77.468125\" y=\"34.976562\" style=\"fill: #bf00bf; stroke: #bf00bf; stroke-linejoin: miter\"/>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_18\">\n",
        "     <!-- $CO_{2}$ -->\n",
-       "     <g transform=\"translate(95.468125 38.476563)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(95.468125 38.476562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
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@@ -4694,23 +4638,23 @@
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        "     <g>\n",
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        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_19\">\n",
        "     <!-- $H_{2}O$ -->\n",
-       "     <g transform=\"translate(95.468125 53.154688)scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(95.468125 53.154687) scale(0.1 -0.1)\">\n",
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        "     </g>\n",
        "    </g>\n",
@@ -4718,7 +4662,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pf11ac6db59\">\n",
+       "  <clipPath id=\"p8077f0a36d\">\n",
        "   <rect x=\"58.468125\" y=\"7.2\" width=\"493.59\" height=\"374.236875\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -4768,7 +4712,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.13"
   }
  },
  "nbformat": 4,
diff --git a/input/ck2yaml_demo.ipynb b/input/ck2yaml_demo.ipynb
index 4af6670..3d1ed2e 100644
--- a/input/ck2yaml_demo.ipynb
+++ b/input/ck2yaml_demo.ipynb
@@ -45,6 +45,7 @@
       "            [--name=<name>]\n",
       "            [--extra=<filename>]\n",
       "            [--output=<filename>]\n",
+      "            [--single-intermediate-temperature]\n",
       "            [--permissive]\n",
       "            [--quiet]\n",
       "            [--no-validate]\n",
@@ -64,9 +65,13 @@
       "specified as 'input' and the surface phase input file should be specified as\n",
       "'surface'.\n",
       "\n",
-      "The '--permissive' option allows certain recoverable parsing errors (e.g.\n",
+      "The '--single-intermediate-temperature' option should be used with thermo data where\n",
+      "only a single break temperature is used and the last value in the first line of each\n",
+      "species thermo entry is the molecular weight instead.\n",
+      "\n",
+      "The '--permissive' option allows certain recoverable parsing errors (such as\n",
       "duplicate transport data) to be ignored. The '--name=<name>' option\n",
-      "is used to override default phase names (i.e. 'gas').\n",
+      "is used to override default phase names (that is, 'gas').\n",
       "\n",
       "The '--extra=<filename>' option takes a YAML file as input. This option can be\n",
       "used to add to the file description, or to define custom fields that are\n",
@@ -268,7 +273,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.13"
   }
  },
  "nbformat": 4,
diff --git a/python_tutorial.ipynb b/python_tutorial.ipynb
index 22ba5b5..30a6deb 100644
--- a/python_tutorial.ipynb
+++ b/python_tutorial.ipynb
@@ -25,14 +25,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Using Cantera version: 2.6.0a4\n"
+      "Using Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -52,7 +52,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -68,7 +68,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
@@ -132,7 +132,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -148,7 +148,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
@@ -196,7 +196,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -228,7 +228,7 @@
        "1200.5188172713504"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -246,7 +246,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
@@ -255,7 +255,7 @@
        "13302755.250164837"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -273,7 +273,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -282,7 +282,7 @@
        "(8351530.632807602, 48.84649013545132)"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -316,7 +316,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -333,7 +333,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
@@ -384,7 +384,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 47,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -400,7 +400,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -416,7 +416,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -432,7 +432,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -455,7 +455,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -471,7 +471,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -505,7 +505,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -523,7 +523,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -571,7 +571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -587,18 +587,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 56,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "\u001b[0;31mCall signature:\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mType:\u001b[0m           Solution\n",
-      "\u001b[0;31mString form:\u001b[0m    <cantera.composite.Solution object at 0xffff81f4eac0>\n",
-      "\u001b[0;31mFile:\u001b[0m           /opt/conda/lib/python3.9/site-packages/cantera/composite.py\n",
-      "\u001b[0;31mDocstring:\u001b[0m     \n",
+      "\u001b[1;31mCall signature:\u001b[0m \u001b[0mg\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mType:\u001b[0m           Solution\n",
+      "\u001b[1;31mString form:\u001b[0m    <cantera.composite.Solution object at 0x000002811F6833D0>\n",
+      "\u001b[1;31mFile:\u001b[0m           d:\\users\\niclas\\miniconda3\\envs\\cantera-latest-release\\lib\\site-packages\\cantera\\composite.py\n",
+      "\u001b[1;31mDocstring:\u001b[0m     \n",
       "A class for chemically-reacting solutions. Instances can be created to\n",
       "represent any type of solution -- a mixture of gases, a liquid solution, or\n",
       "a solid solution, for example.\n",
@@ -617,15 +617,14 @@
       "    gas = ct.Solution('gri30.yaml')\n",
       "\n",
       "If an input file defines multiple phases, the corresponding key in the\n",
-      "*phases* map (in YAML), *name* (in CTI), or *id* (in XML) can be used\n",
-      "to specify the desired phase via the ``name`` keyword argument of\n",
-      "the constructor::\n",
+      "``phases`` map can be used to specify the desired phase via the ``name`` keyword\n",
+      "argument of the constructor::\n",
       "\n",
       "    gas = ct.Solution('diamond.yaml', name='gas')\n",
       "    diamond = ct.Solution('diamond.yaml', name='diamond')\n",
       "\n",
       "The name of the `Solution` object defaults to the *phase* identifier\n",
-      "specified in the input file. Upon initialization of a 'Solution' object,\n",
+      "specified in the input file. Upon initialization of a `Solution` object,\n",
       "a custom name can assigned via::\n",
       "\n",
       "    gas.name = 'my_custom_name'\n",
@@ -634,10 +633,10 @@
       "objects which can themselves either be imported from input files or defined\n",
       "directly in Python::\n",
       "\n",
-      "    spec = ct.Species.listFromFile('gri30.yaml')\n",
-      "    spec_gas = ct.Solution(thermo='IdealGas', species=spec)\n",
-      "    rxns = ct.Reaction.listFromFile('gri30.yaml', spec_gas)\n",
-      "    gas = ct.Solution(thermo='IdealGas', kinetics='GasKinetics',\n",
+      "    spec = ct.Species.list_from_file(\"gri30.yaml\")\n",
+      "    spec_gas = ct.Solution(thermo='ideal-gas', species=spec)\n",
+      "    rxns = ct.Reaction.list_from_file(\"gri30.yaml\", spec_gas)\n",
+      "    gas = ct.Solution(thermo='ideal-tas', kinetics='gas',\n",
       "                      species=spec, reactions=rxns, name='my_custom_name')\n",
       "\n",
       "where the ``thermo`` and ``kinetics`` keyword arguments are strings\n",
@@ -675,7 +674,7 @@
       "      skip-undeclared-third-bodies: true\n",
       "      state: {T: 300, P: 1 atm}\n",
       "    '''\n",
-      "    gas = ct.Solution(yaml=yaml_def)\n"
+      "    gas = ct.Solution(yaml=yaml_def)"
      ]
     }
    ],
@@ -692,7 +691,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 57,
    "metadata": {
     "scrolled": true
    },
@@ -709,6 +708,7 @@
        " 'HPY',\n",
        " 'P',\n",
        " 'P_sat',\n",
+       " 'Pe',\n",
        " 'SP',\n",
        " 'SPX',\n",
        " 'SPY',\n",
@@ -729,10 +729,11 @@
        " 'UVY',\n",
        " 'X',\n",
        " 'Y',\n",
+       " '_ThermoPhase__composition_to_array',\n",
        " '__call__',\n",
        " '__class__',\n",
-       " '__composition_to_array',\n",
        " '__copy__',\n",
+       " '__del__',\n",
        " '__delattr__',\n",
        " '__dir__',\n",
        " '__doc__',\n",
@@ -767,10 +768,12 @@
        " '_check_phase_index',\n",
        " '_check_reaction_index',\n",
        " '_cinit',\n",
+       " '_custom_rates',\n",
+       " '_enable_plasma',\n",
        " '_full_states',\n",
-       " '_init_cti_xml',\n",
        " '_init_parts',\n",
        " '_init_yaml',\n",
+       " '_native_mode',\n",
        " '_native_state',\n",
        " '_partial_states',\n",
        " '_references',\n",
@@ -794,6 +797,11 @@
        " 'cp_mass',\n",
        " 'cp_mole',\n",
        " 'creation_rates',\n",
+       " 'creation_rates_ddC',\n",
+       " 'creation_rates_ddCi',\n",
+       " 'creation_rates_ddP',\n",
+       " 'creation_rates_ddT',\n",
+       " 'creation_rates_ddX',\n",
        " 'critical_density',\n",
        " 'critical_pressure',\n",
        " 'critical_temperature',\n",
@@ -809,10 +817,19 @@
        " 'density',\n",
        " 'density_mass',\n",
        " 'density_mole',\n",
+       " 'derivative_settings',\n",
        " 'destruction_rates',\n",
+       " 'destruction_rates_ddC',\n",
+       " 'destruction_rates_ddCi',\n",
+       " 'destruction_rates_ddP',\n",
+       " 'destruction_rates_ddT',\n",
+       " 'destruction_rates_ddX',\n",
        " 'electric_potential',\n",
        " 'electrical_conductivity',\n",
        " 'electrochemical_potentials',\n",
+       " 'electron_energy_distribution',\n",
+       " 'electron_energy_distribution_type',\n",
+       " 'electron_energy_levels',\n",
        " 'element_index',\n",
        " 'element_name',\n",
        " 'element_names',\n",
@@ -827,7 +844,15 @@
        " 'equivalence_ratio',\n",
        " 'find_isomers',\n",
        " 'forward_rate_constants',\n",
+       " 'forward_rate_constants_ddC',\n",
+       " 'forward_rate_constants_ddP',\n",
+       " 'forward_rate_constants_ddT',\n",
        " 'forward_rates_of_progress',\n",
+       " 'forward_rates_of_progress_ddC',\n",
+       " 'forward_rates_of_progress_ddCi',\n",
+       " 'forward_rates_of_progress_ddP',\n",
+       " 'forward_rates_of_progress_ddT',\n",
+       " 'forward_rates_of_progress_ddX',\n",
        " 'g',\n",
        " 'get_binary_diff_coeffs_polynomial',\n",
        " 'get_collision_integral_polynomials',\n",
@@ -845,14 +870,15 @@
        " 'int_energy_mole',\n",
        " 'is_compressible',\n",
        " 'is_pure',\n",
-       " 'is_reversible',\n",
        " 'isothermal_compressibility',\n",
+       " 'isotropic_shape_factor',\n",
        " 'kinetics_model',\n",
        " 'kinetics_species_index',\n",
        " 'kinetics_species_name',\n",
        " 'kinetics_species_names',\n",
        " 'mass_fraction_dict',\n",
        " 'max_temp',\n",
+       " 'mean_electron_energy',\n",
        " 'mean_molecular_weight',\n",
        " 'min_temp',\n",
        " 'mix_diff_coeffs',\n",
@@ -867,6 +893,7 @@
        " 'multi_diff_coeffs',\n",
        " 'multiplier',\n",
        " 'n_atoms',\n",
+       " 'n_electron_energy_levels',\n",
        " 'n_elements',\n",
        " 'n_phases',\n",
        " 'n_reactions',\n",
@@ -875,7 +902,18 @@
        " 'n_total_species',\n",
        " 'name',\n",
        " 'net_production_rates',\n",
+       " 'net_production_rates_ddC',\n",
+       " 'net_production_rates_ddCi',\n",
+       " 'net_production_rates_ddP',\n",
+       " 'net_production_rates_ddT',\n",
+       " 'net_production_rates_ddX',\n",
        " 'net_rates_of_progress',\n",
+       " 'net_rates_of_progress_ddC',\n",
+       " 'net_rates_of_progress_ddCi',\n",
+       " 'net_rates_of_progress_ddP',\n",
+       " 'net_rates_of_progress_ddT',\n",
+       " 'net_rates_of_progress_ddX',\n",
+       " 'normalize_electron_energy_distribution_enabled',\n",
        " 'partial_molar_cp',\n",
        " 'partial_molar_enthalpies',\n",
        " 'partial_molar_entropies',\n",
@@ -886,26 +924,28 @@
        " 'product_stoich_coeffs',\n",
        " 'product_stoich_coeffs3',\n",
        " 'product_stoich_coeffs_reversible',\n",
-       " 'products',\n",
+       " 'quadrature_method',\n",
        " 'reactant_stoich_coeff',\n",
        " 'reactant_stoich_coeffs',\n",
        " 'reactant_stoich_coeffs3',\n",
-       " 'reactants',\n",
        " 'reaction',\n",
-       " 'reaction_equation',\n",
        " 'reaction_equations',\n",
        " 'reaction_phase_index',\n",
-       " 'reaction_type',\n",
-       " 'reaction_type_str',\n",
        " 'reactions',\n",
        " 'reference_pressure',\n",
        " 'report',\n",
        " 'reverse_rate_constants',\n",
        " 'reverse_rates_of_progress',\n",
+       " 'reverse_rates_of_progress_ddC',\n",
+       " 'reverse_rates_of_progress_ddCi',\n",
+       " 'reverse_rates_of_progress_ddP',\n",
+       " 'reverse_rates_of_progress_ddT',\n",
+       " 'reverse_rates_of_progress_ddX',\n",
        " 's',\n",
        " 'selected_species',\n",
        " 'set_binary_diff_coeffs_polynomial',\n",
        " 'set_collision_integral_polynomial',\n",
+       " 'set_discretized_electron_energy_distribution',\n",
        " 'set_equivalence_ratio',\n",
        " 'set_mixture_fraction',\n",
        " 'set_multiplier',\n",
@@ -913,6 +953,7 @@
        " 'set_unnormalized_mass_fractions',\n",
        " 'set_unnormalized_mole_fractions',\n",
        " 'set_viscosity_polynomial',\n",
+       " 'sound_speed',\n",
        " 'source',\n",
        " 'species',\n",
        " 'species_index',\n",
@@ -941,10 +982,11 @@
        " 'viscosity',\n",
        " 'volume_mass',\n",
        " 'volume_mole',\n",
+       " 'write_chemkin',\n",
        " 'write_yaml']"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 57,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -962,20 +1004,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 58,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "\u001b[0;31mDocstring:\u001b[0m\n",
-      "ThermoPhase.species_index(self, species) -> int\n",
-      "\n",
-      "The index of species *species*, which may be specified as a string or\n",
+      "\u001b[1;31mSignature:\u001b[0m \u001b[0mg\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mspecies_index\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mspecies\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mDocstring:\u001b[0m\n",
+      "The index of species ``species``, which may be specified as a string or\n",
       "an integer. In the latter case, the index is checked for validity and\n",
       "returned. If no such species is present, an exception is thrown.\n",
-      "\u001b[0;31mType:\u001b[0m      builtin_function_or_method\n"
+      "\u001b[1;31mType:\u001b[0m      method"
      ]
     }
    ],
@@ -992,7 +1033,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 59,
    "metadata": {
     "scrolled": true
    },
@@ -1001,9 +1042,9 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "\u001b[0;31mType:\u001b[0m        float\n",
-      "\u001b[0;31mString form:\u001b[0m 300.0\n",
-      "\u001b[0;31mDocstring:\u001b[0m   Convert a string or number to a floating point number, if possible.\n"
+      "\u001b[1;31mType:\u001b[0m        float\n",
+      "\u001b[1;31mString form:\u001b[0m 300.0\n",
+      "\u001b[1;31mDocstring:\u001b[0m   Convert a string or number to a floating point number, if possible."
      ]
     }
    ],
@@ -1020,16 +1061,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 60,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "\u001b[0;31mType:\u001b[0m        getset_descriptor\n",
-      "\u001b[0;31mString form:\u001b[0m <attribute 'T' of 'cantera._cantera.ThermoPhase' objects>\n",
-      "\u001b[0;31mDocstring:\u001b[0m   Temperature [K].\n"
+      "\u001b[1;31mType:\u001b[0m        getset_descriptor\n",
+      "\u001b[1;31mString form:\u001b[0m <attribute 'T' of 'cantera.thermo.ThermoPhase' objects>\n",
+      "\u001b[1;31mDocstring:\u001b[0m   Temperature [K]."
      ]
     }
    ],
@@ -1046,19 +1087,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 61,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Help on built-in function species_index:\n",
+      "Help on method species_index in module cantera.thermo:\n",
       "\n",
-      "species_index(...) method of cantera.composite.Solution instance\n",
-      "    ThermoPhase.species_index(self, species) -> int\n",
-      "    \n",
-      "    The index of species *species*, which may be specified as a string or\n",
+      "species_index(species) method of cantera.composite.Solution instance\n",
+      "    The index of species ``species``, which may be specified as a string or\n",
       "    an integer. In the latter case, the index is checked for validity and\n",
       "    returned. If no such species is present, an exception is thrown.\n",
       "\n"
@@ -1085,7 +1124,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 62,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1103,7 +1142,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 63,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1125,7 +1164,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 64,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1135,7 +1174,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 65,
    "metadata": {
     "scrolled": true
    },
@@ -1144,313 +1183,313 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
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+      "     0            0  \n",
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       "    17   -4.378e-15  \n",
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+      "    43            0  \n",
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       "    63    9.406e-16  \n",
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-      "   127   -9.102e-15  \n",
-      "   128   -5.594e-15  \n",
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+      "    89    3.625e-15  \n",
+      "    90    3.453e-15  \n",
+      "    91   -8.796e-15  \n",
+      "    92   -2.302e-15  \n",
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+      "    94    8.323e-15  \n",
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+      "    96    3.568e-16  \n",
+      "    97   -1.304e-14  \n",
+      "    98    3.255e-15  \n",
+      "    99            0  \n",
+      "   100    1.419e-14  \n",
+      "   101   -1.737e-14  \n",
+      "   102    -1.77e-14  \n",
+      "   103   -8.575e-15  \n",
+      "   104   -2.919e-15  \n",
+      "   105     1.54e-15  \n",
+      "   106    5.387e-15  \n",
+      "   107     2.29e-15  \n",
+      "   108   -8.143e-15  \n",
+      "   109   -8.676e-15  \n",
+      "   110   -7.066e-15  \n",
+      "   111   -1.501e-15  \n",
+      "   112    3.082e-14  \n",
+      "   113   -1.167e-14  \n",
+      "   114    4.309e-15  \n",
+      "   115    4.506e-15  \n",
+      "   116   -3.718e-15  \n",
+      "   117     8.79e-15  \n",
+      "   118    1.036e-14  \n",
+      "   119     8.46e-15  \n",
+      "   120    3.754e-15  \n",
+      "   121    4.894e-15  \n",
+      "   122    3.638e-15  \n",
+      "   123    1.398e-14  \n",
+      "   124    4.998e-15  \n",
+      "   125    3.519e-15  \n",
+      "   126   -7.086e-15  \n",
+      "   127    1.517e-16  \n",
+      "   128    1.779e-14  \n",
       "   129    1.235e-14  \n",
-      "   130   -1.056e-14  \n",
-      "   131    3.844e-15  \n",
-      "   132    8.666e-15  \n",
-      "   133   -2.205e-16  \n",
-      "   135   -7.048e-15  \n",
-      "   136   -1.049e-14  \n",
-      "   137   -1.705e-16  \n",
-      "   138    4.856e-15  \n",
-      "   139   -2.585e-15  \n",
-      "   140   -1.456e-16  \n",
-      "   141    5.324e-15  \n",
-      "   143     5.06e-15  \n",
-      "   144    6.887e-15  \n",
-      "   145   -2.147e-15  \n",
-      "   146    1.091e-14  \n",
-      "   147    5.272e-15  \n",
-      "   148     5.05e-15  \n",
-      "   149    9.878e-15  \n",
-      "   150    5.243e-15  \n",
-      "   151    1.168e-14  \n",
-      "   152   -5.006e-15  \n",
-      "   153   -5.305e-15  \n",
-      "   154    7.805e-15  \n",
-      "   155   -3.544e-15  \n",
-      "   156   -4.948e-15  \n",
-      "   157    3.511e-15  \n",
-      "   158   -6.326e-15  \n",
-      "   159   -1.468e-14  \n",
-      "   160    6.922e-15  \n",
-      "   161   -1.687e-14  \n",
-      "   162   -1.143e-14  \n",
-      "   163   -2.135e-14  \n",
-      "   164   -2.882e-14  \n",
-      "   165    4.389e-15  \n",
-      "   166    4.376e-15  \n",
-      "   167    1.646e-14  \n",
-      "   168   -1.484e-15  \n",
-      "   169   -7.223e-15  \n",
-      "   170     7.17e-15  \n",
-      "   171   -6.001e-15  \n",
-      "   172    1.434e-14  \n",
-      "   173   -8.055e-15  \n",
-      "   174    1.314e-14  \n",
-      "   175    3.061e-15  \n",
-      "   176    1.012e-14  \n",
-      "   177    1.974e-15  \n",
-      "   178    1.763e-15  \n",
-      "   179            0  \n",
-      "   180   -1.403e-15  \n",
-      "   181   -1.651e-16  \n",
-      "   182   -8.486e-15  \n",
-      "   183   -1.662e-15  \n",
-      "   184   -2.399e-15  \n",
-      "   185    1.562e-15  \n",
-      "   186    1.795e-15  \n",
-      "   187   -6.896e-15  \n",
-      "   188   -8.728e-15  \n",
-      "   189   -1.885e-15  \n",
-      "   190   -3.324e-15  \n",
-      "   191   -1.488e-15  \n",
-      "   192   -3.832e-15  \n",
-      "   193    3.189e-15  \n",
-      "   194   -5.399e-15  \n",
-      "   195   -1.687e-15  \n",
-      "   196    -1.08e-14  \n",
-      "   197     -3.3e-15  \n",
-      "   198    4.426e-15  \n",
-      "   199    1.355e-15  \n",
-      "   200            0  \n",
-      "   201    -2.96e-15  \n",
-      "   202     6.85e-15  \n",
-      "   203    3.539e-15  \n",
-      "   204    3.564e-15  \n",
-      "   205    8.622e-15  \n",
-      "   206    2.127e-15  \n",
-      "   207    4.559e-15  \n",
-      "   208     2.26e-15  \n",
-      "   209    1.063e-14  \n",
-      "   210   -1.062e-14  \n",
-      "   211    1.261e-15  \n",
-      "   212   -7.257e-15  \n",
-      "   213   -1.631e-15  \n",
-      "   214    6.979e-15  \n",
-      "   215   -2.473e-15  \n",
-      "   216   -1.854e-15  \n",
-      "   217   -3.698e-16  \n",
-      "   218   -6.498e-15  \n",
-      "   219   -2.673e-15  \n",
-      "   220    3.004e-15  \n",
-      "   221    8.767e-15  \n",
-      "   222    5.136e-15  \n",
-      "   223    2.232e-15  \n",
-      "   224    1.432e-14  \n",
-      "   225     6.59e-15  \n",
-      "   226    2.129e-15  \n",
-      "   227    3.396e-15  \n",
-      "   228            0  \n",
-      "   229     1.45e-15  \n",
-      "   230    3.614e-15  \n",
-      "   231    8.641e-15  \n",
-      "   232    4.302e-15  \n",
-      "   233   -4.679e-15  \n",
-      "   234   -3.606e-15  \n",
-      "   235    4.165e-15  \n",
-      "   236   -1.526e-15  \n",
-      "   237    3.894e-15  \n",
-      "   238   -3.914e-16  \n",
-      "   239            0  \n",
-      "   240    4.629e-15  \n",
-      "   241            0  \n",
-      "   242    4.775e-15  \n",
-      "   243    7.132e-16  \n",
-      "   244   -1.869e-16  \n",
-      "   245    -1.64e-15  \n",
-      "   246     1.73e-15  \n",
-      "   247   -7.974e-16  \n",
-      "   248   -8.784e-15  \n",
-      "   249   -5.175e-15  \n",
-      "   250   -1.051e-14  \n",
-      "   251   -1.665e-15  \n",
-      "   252    2.452e-16  \n",
-      "   253   -5.249e-15  \n",
-      "   254    3.464e-15  \n",
-      "   255    4.452e-15  \n",
-      "   256    -1.79e-16  \n",
-      "   257     -1.6e-15  \n",
-      "   258   -5.137e-15  \n",
-      "   259   -8.613e-15  \n",
-      "   260    1.983e-15  \n",
-      "   261    1.215e-14  \n",
-      "   262    3.634e-15  \n",
-      "   263    7.056e-15  \n",
-      "   264     7.73e-15  \n",
-      "   265     6.52e-15  \n",
-      "   266    2.526e-15  \n",
-      "   267    1.263e-15  \n",
-      "   268    1.209e-14  \n",
-      "   269    1.793e-15  \n",
-      "   270     5.49e-15  \n",
-      "   271    8.644e-15  \n",
-      "   272    9.561e-16  \n",
-      "   273    1.244e-14  \n",
-      "   274    1.956e-15  \n",
-      "   275     7.73e-15  \n",
-      "   276   -2.879e-15  \n",
-      "   277   -2.499e-16  \n",
-      "   278   -2.247e-15  \n",
-      "   279   -7.943e-15  \n",
-      "   280   -3.345e-15  \n",
-      "   281    7.111e-15  \n",
-      "   282    1.079e-14  \n",
-      "   284    1.086e-14  \n",
-      "   285    1.239e-14  \n",
-      "   286   -3.341e-15  \n",
-      "   288            0  \n",
-      "   290   -5.374e-15  \n",
-      "   293    1.725e-14  \n",
-      "   294     1.27e-14  \n",
-      "   295   -7.339e-16  \n",
-      "   298    1.128e-14  \n",
-      "   303    5.522e-15  \n",
-      "   307   -7.913e-15  \n",
-      "   308    -1.25e-14  \n",
-      "   309   -3.853e-15  \n",
-      "   310    3.072e-15  \n",
-      "   311    9.317e-15  \n",
-      "   312    1.506e-14  \n",
-      "   313    1.429e-14  \n",
-      "   314    1.745e-14  \n",
-      "   315   -2.027e-14  \n",
-      "   316    2.277e-15  \n",
-      "   317    9.991e-15  \n",
-      "   318   -3.385e-14  \n",
-      "   319   -1.377e-14  \n",
-      "   320    -2.41e-14  \n",
-      "   321   -2.613e-14  \n",
-      "   322   -2.009e-14  \n",
-      "   324   -3.706e-14  \n"
+      "   130    2.174e-15  \n",
+      "   131   -3.432e-15  \n",
+      "   132    1.419e-14  \n",
+      "   133            0  \n",
+      "   135   -5.286e-15  \n",
+      "   136   -1.873e-16  \n",
+      "   137    1.944e-14  \n",
+      "   138   -1.571e-14  \n",
+      "   139    4.573e-15  \n",
+      "   140    3.495e-15  \n",
+      "   141    2.576e-15  \n",
+      "   143     7.59e-15  \n",
+      "   144            0  \n",
+      "   145   -5.464e-15  \n",
+      "   146    8.013e-15  \n",
+      "   147    2.711e-15  \n",
+      "   148    1.967e-14  \n",
+      "   149   -1.305e-14  \n",
+      "   150   -4.045e-15  \n",
+      "   151     2.67e-15  \n",
+      "   152   -1.051e-14  \n",
+      "   153    2.476e-14  \n",
+      "   154    1.028e-14  \n",
+      "   155    3.402e-15  \n",
+      "   156    4.156e-15  \n",
+      "   157    -5.99e-15  \n",
+      "   158    3.104e-14  \n",
+      "   159   -2.055e-15  \n",
+      "   160    2.117e-14  \n",
+      "   161    1.088e-14  \n",
+      "   162    3.129e-15  \n",
+      "   163    4.694e-15  \n",
+      "   164     3.75e-14  \n",
+      "   165   -7.023e-16  \n",
+      "   166   -8.206e-16  \n",
+      "   167   -1.605e-14  \n",
+      "   168   -8.161e-15  \n",
+      "   169   -1.165e-16  \n",
+      "   170    6.681e-15  \n",
+      "   171    6.155e-15  \n",
+      "   172   -1.796e-14  \n",
+      "   173   -9.062e-15  \n",
+      "   174   -1.017e-14  \n",
+      "   175    3.826e-15  \n",
+      "   176   -1.012e-14  \n",
+      "   177   -1.794e-16  \n",
+      "   178   -1.259e-16  \n",
+      "   179    2.172e-15  \n",
+      "   180    5.813e-15  \n",
+      "   181    5.448e-15  \n",
+      "   182    1.086e-14  \n",
+      "   183   -1.406e-15  \n",
+      "   184    1.499e-15  \n",
+      "   185   -1.735e-15  \n",
+      "   186   -7.854e-15  \n",
+      "   187    7.427e-15  \n",
+      "   188    7.246e-15  \n",
+      "   189    3.905e-15  \n",
+      "   190    -1.87e-15  \n",
+      "   191   -7.254e-15  \n",
+      "   192    -1.04e-14  \n",
+      "   193   -2.126e-15  \n",
+      "   194    1.671e-15  \n",
+      "   195    -3.22e-15  \n",
+      "   196    4.565e-15  \n",
+      "   197    1.435e-16  \n",
+      "   198   -8.115e-15  \n",
+      "   199    8.468e-15  \n",
+      "   200    8.338e-16  \n",
+      "   201    2.556e-15  \n",
+      "   202   -2.603e-15  \n",
+      "   203     2.45e-15  \n",
+      "   204    2.415e-15  \n",
+      "   205            0  \n",
+      "   206     5.47e-15  \n",
+      "   207     5.21e-15  \n",
+      "   208   -1.739e-16  \n",
+      "   209    -3.28e-15  \n",
+      "   210    6.959e-15  \n",
+      "   211   -5.586e-15  \n",
+      "   212    3.692e-15  \n",
+      "   213    3.559e-15  \n",
+      "   214    5.754e-15  \n",
+      "   215   -2.937e-15  \n",
+      "   216   -5.191e-15  \n",
+      "   217    4.684e-15  \n",
+      "   218    1.265e-14  \n",
+      "   219    9.251e-15  \n",
+      "   220     7.36e-15  \n",
+      "   221   -4.985e-15  \n",
+      "   222   -1.883e-15  \n",
+      "   223   -1.144e-14  \n",
+      "   224    3.795e-15  \n",
+      "   225    3.218e-15  \n",
+      "   226   -6.601e-15  \n",
+      "   227   -1.048e-14  \n",
+      "   228   -3.604e-15  \n",
+      "   229   -2.901e-15  \n",
+      "   230    3.011e-15  \n",
+      "   231            0  \n",
+      "   232   -1.564e-15  \n",
+      "   233   -8.399e-16  \n",
+      "   234   -2.962e-15  \n",
+      "   235    -1.41e-14  \n",
+      "   236    4.577e-15  \n",
+      "   237   -1.057e-14  \n",
+      "   238    5.088e-15  \n",
+      "   239    6.843e-15  \n",
+      "   240    1.899e-15  \n",
+      "   241    1.534e-15  \n",
+      "   242    4.259e-15  \n",
+      "   243    5.991e-15  \n",
+      "   244    3.551e-15  \n",
+      "   245    3.281e-15  \n",
+      "   246    7.092e-15  \n",
+      "   247    2.392e-15  \n",
+      "   248    7.027e-15  \n",
+      "   249    1.058e-14  \n",
+      "   250    5.323e-15  \n",
+      "   251    7.075e-15  \n",
+      "   252    1.054e-14  \n",
+      "   253    4.539e-15  \n",
+      "   254     7.12e-15  \n",
+      "   255    1.712e-14  \n",
+      "   256   -8.234e-15  \n",
+      "   257    5.415e-15  \n",
+      "   258    5.522e-15  \n",
+      "   259   -2.946e-15  \n",
+      "   260            0  \n",
+      "   261   -6.454e-15  \n",
+      "   262   -1.074e-14  \n",
+      "   263   -4.032e-16  \n",
+      "   264    -1.16e-14  \n",
+      "   265    1.863e-16  \n",
+      "   266    1.347e-15  \n",
+      "   267   -1.895e-15  \n",
+      "   268   -1.295e-15  \n",
+      "   269    1.614e-15  \n",
+      "   270    4.941e-15  \n",
+      "   271   -1.108e-14  \n",
+      "   272   -1.912e-15  \n",
+      "   273   -6.837e-15  \n",
+      "   274    2.229e-14  \n",
+      "   275    1.417e-14  \n",
+      "   276   -2.399e-15  \n",
+      "   277   -7.497e-16  \n",
+      "   278   -2.871e-15  \n",
+      "   279   -3.883e-15  \n",
+      "   280    1.097e-14  \n",
+      "   281    3.642e-15  \n",
+      "   282   -1.541e-15  \n",
+      "   284     -2.3e-15  \n",
+      "   285   -1.449e-15  \n",
+      "   286   -5.073e-15  \n",
+      "   288   -5.898e-15  \n",
+      "   290   -1.107e-14  \n",
+      "   293   -4.107e-16  \n",
+      "   294   -1.436e-14  \n",
+      "   295    9.834e-15  \n",
+      "   298   -9.374e-15  \n",
+      "   303    2.103e-15  \n",
+      "   307   -1.424e-14  \n",
+      "   308   -2.216e-15  \n",
+      "   309    -6.83e-15  \n",
+      "   310   -1.466e-14  \n",
+      "   311    8.366e-15  \n",
+      "   312   -1.605e-14  \n",
+      "   313   -9.201e-15  \n",
+      "   314   -3.376e-14  \n",
+      "   315    5.498e-15  \n",
+      "   316   -1.644e-15  \n",
+      "   317    -4.31e-15  \n",
+      "   318   -1.707e-15  \n",
+      "   319    1.348e-14  \n",
+      "   320    6.082e-15  \n",
+      "   321    5.501e-15  \n",
+      "   322    9.972e-15  \n",
+      "   324    4.365e-14  \n"
      ]
     }
    ],
@@ -1458,7 +1497,7 @@
     "rf = g.forward_rates_of_progress\n",
     "rr = g.reverse_rates_of_progress\n",
     "for i in range(g.n_reactions):\n",
-    "    if g.is_reversible(i) and rf[i] != 0.0:\n",
+    "    if g.reactions()[i].reversible and rf[i] != 0.0:\n",
     "        print(\"  %4i   %10.4g  \" % (i, (rf[i] - rr[i]) / rf[i]))"
    ]
   },
@@ -1491,16 +1530,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 66,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<ElementaryReaction: H2 + O <=> H + OH>"
+       "H2 + O <=> H + OH    <Arrhenius>"
       ]
      },
-     "execution_count": 32,
+     "execution_count": 66,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1513,7 +1552,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 67,
    "metadata": {},
    "outputs": [
     {
@@ -1522,7 +1561,7 @@
        "{'H2': 1.0, 'O': 1.0}"
       ]
      },
-     "execution_count": 33,
+     "execution_count": 67,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1533,7 +1572,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 68,
    "metadata": {},
    "outputs": [
     {
@@ -1542,7 +1581,7 @@
        "{'H': 1.0, 'OH': 1.0}"
       ]
      },
-     "execution_count": 34,
+     "execution_count": 68,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1553,16 +1592,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 69,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<ArrheniusRate at ffff81ea1c60>"
+       "<ArrheniusRate at 2811f6712b0>"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 69,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1580,7 +1619,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 70,
    "metadata": {},
    "outputs": [
     {
@@ -1614,7 +1653,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 71,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1631,16 +1670,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 72,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([-2.64274280e-19, -6.56450534e-21,  0.00000000e+00, -9.82558219e-20])"
+       "array([-1.62630326e-19,  8.04681300e-21,  7.21644966e-16, -1.60936260e-19])"
       ]
      },
-     "execution_count": 38,
+     "execution_count": 72,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1658,7 +1697,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 73,
    "metadata": {},
    "outputs": [
     {
@@ -1667,7 +1706,7 @@
        "array([3.18644907e-05, 5.00489883e-08, 1.05964910e-01, 2.89502678e-06])"
       ]
      },
-     "execution_count": 39,
+     "execution_count": 73,
      "metadata": {},
      "output_type": "execute_result"
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@@ -1686,7 +1725,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 74,
    "metadata": {},
    "outputs": [
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@@ -1695,7 +1734,7 @@
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-     "execution_count": 40,
+     "execution_count": 74,
      "metadata": {},
      "output_type": "execute_result"
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@@ -1713,16 +1752,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 75,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "-58013369.59815948"
+       "-58013369.59815952"
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-     "execution_count": 41,
+     "execution_count": 75,
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      "output_type": "execute_result"
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@@ -1740,16 +1779,16 @@
   },
   {
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-   "execution_count": 42,
+   "execution_count": 76,
    "metadata": {},
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     {
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+       "-58013369.59815958"
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-     "execution_count": 42,
+     "execution_count": 76,
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      "output_type": "execute_result"
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@@ -1767,16 +1806,16 @@
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   {
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-   "execution_count": 43,
+   "execution_count": 77,
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     {
      "data": {
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+       "-9307122.69279468"
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-     "execution_count": 43,
+     "execution_count": 77,
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@@ -1809,7 +1848,7 @@
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diff --git a/reactors/batch_reactor_ignition_delay_NTC.ipynb b/reactors/batch_reactor_ignition_delay_NTC.ipynb
index 42ccd95..6cd9bb0 100644
--- a/reactors/batch_reactor_ignition_delay_NTC.ipynb
+++ b/reactors/batch_reactor_ignition_delay_NTC.ipynb
@@ -19,7 +19,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Runnning Cantera version: 3.1.0a1\n"
+      "Runnning Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -77,7 +77,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/var/folders/nr/mrv8pfg9419g45rxny32jb2c0000gn/T/ipykernel_8037/3597652223.py:1: UserWarning: NasaPoly2::validate: \n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_2336\\3597652223.py:1: UserWarning: NasaPoly2::validate: \n",
       "For species c7h15o-1, discontinuity in h/RT detected at Tmid = 1391\n",
       "\tValue computed using low-temperature polynomial:  21.83428060093267\n",
       "\tValue computed using high-temperature polynomial: 21.76699500201913\n",
@@ -153,7 +153,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Computed Ignition Delay: 3.248e-02 seconds. Took 0.72s to compute\n"
+      "Computed Ignition Delay: 3.248e-02 seconds. Took 0.88s to compute\n"
      ]
     }
    ],
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   },
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-   "execution_count": 10,
+   "execution_count": 9,
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-      "Computed Ignition Delay: 2.972e-05 seconds for T=3048.1371972188017K. Took 0.55s to compute\n",
-      "Computed Ignition Delay: 3.092e-05 seconds for T=3023.479653346262K. Took 0.58s to compute\n",
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-      "Computed Ignition Delay: 3.057e-01 seconds for T=2805.0055344125194K. Took 0.81s to compute\n",
-      "Computed Ignition Delay: 4.266e-01 seconds for T=2798.1773504631597K. Took 0.81s to compute\n",
-      "Computed Ignition Delay: 4.726e-01 seconds for T=2791.368780557419K. Took 0.88s to compute\n",
-      "Computed Ignition Delay: 3.795e-01 seconds for T=2784.583456303603K. Took 0.87s to compute\n",
-      "Computed Ignition Delay: 2.443e-01 seconds for T=2777.8247753223627K. Took 0.92s to compute\n",
-      "Computed Ignition Delay: 1.462e-01 seconds for T=2771.0959421746875K. Took 1.00s to compute\n",
-      "Computed Ignition Delay: 9.154e-02 seconds for T=2764.4000289976807K. Took 1.02s to compute\n",
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-      "Computed Ignition Delay: 1.503e-01 seconds for T=2738.0058796533235K. Took 1.16s to compute\n",
-      "Computed Ignition Delay: 3.754e-01 seconds for T=2731.5205907105683K. Took 1.17s to compute\n",
-      "Computed Ignition Delay: 1.106e+00 seconds for T=2725.087789141595K. Took 1.23s to compute\n",
-      "Computed Ignition Delay: 3.746e+00 seconds for T=2718.711808767111K. Took 1.20s to compute\n",
-      "Computed Ignition Delay: 1.474e+01 seconds for T=2712.397631934228K. Took 1.29s to compute\n",
-      "Computed Ignition Delay: 6.945e+01 seconds for T=2706.151072683112K. Took 1.31s to compute\n"
+      "Computed Ignition Delay: 2.943e-05 seconds for T=3048.1371968673066K. Took 0.62s to compute\n",
+      "Computed Ignition Delay: 3.085e-05 seconds for T=3023.4796537279385K. Took 0.67s to compute\n",
+      "Computed Ignition Delay: 4.082e-05 seconds for T=2998.3778591617374K. Took 0.63s to compute\n",
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+      "Computed Ignition Delay: 6.443e-03 seconds for T=2866.624960561075K. Took 0.74s to compute\n",
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+      "Computed Ignition Delay: 1.252e-01 seconds for T=2818.7047474963733K. Took 0.85s to compute\n",
+      "Computed Ignition Delay: 1.983e-01 seconds for T=2811.849413329189K. Took 0.86s to compute\n",
+      "Computed Ignition Delay: 3.057e-01 seconds for T=2805.0055341133316K. Took 0.93s to compute\n",
+      "Computed Ignition Delay: 4.266e-01 seconds for T=2798.177351132977K. Took 0.95s to compute\n",
+      "Computed Ignition Delay: 4.726e-01 seconds for T=2791.3687801293227K. Took 0.95s to compute\n",
+      "Computed Ignition Delay: 3.795e-01 seconds for T=2784.5834564797206K. Took 0.99s to compute\n",
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+      "Computed Ignition Delay: 1.503e-01 seconds for T=2738.005879744561K. Took 1.16s to compute\n",
+      "Computed Ignition Delay: 3.754e-01 seconds for T=2731.520590755388K. Took 1.38s to compute\n",
+      "Computed Ignition Delay: 1.106e+00 seconds for T=2725.087789024315K. Took 1.34s to compute\n",
+      "Computed Ignition Delay: 3.746e+00 seconds for T=2718.7118087665854K. Took 1.36s to compute\n",
+      "Computed Ignition Delay: 1.474e+01 seconds for T=2712.3976334047347K. Took 1.47s to compute\n",
+      "Computed Ignition Delay: 6.945e+01 seconds for T=2706.1510725024746K. Took 1.37s to compute\n"
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@@ -1873,7 +1927,7 @@
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    "name": "python",
    "nbconvert_exporter": "python",
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diff --git a/reactors/interactive_path_diagram.ipynb b/reactors/interactive_path_diagram.ipynb
index c579fb7..331b6f8 100644
--- a/reactors/interactive_path_diagram.ipynb
+++ b/reactors/interactive_path_diagram.ipynb
@@ -11,7 +11,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 1,
    "metadata": {
     "tags": []
    },
@@ -20,7 +20,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Using Cantera version: 2.6.0\n"
+      "Using Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 2,
    "metadata": {
     "tags": []
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@@ -74,7 +74,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 3,
    "metadata": {
     "tags": []
    },
@@ -92,7 +92,7 @@
   },
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    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 4,
    "metadata": {
     "tags": []
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@@ -110,7 +110,7 @@
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    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 5,
    "metadata": {
     "tags": []
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@@ -131,7 +131,7 @@
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   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 6,
    "metadata": {
     "tags": []
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@@ -159,18 +159,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "e9eb8420e3d1441d8dacca916d65ccea",
+       "model_id": "ac384226a2b041fa90b66fb53d9770dd",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "interactive(children=(IntSlider(value=100, description='plot_step', max=1730, step=10), FloatSlider(value=0.1,…"
+       "interactive(children=(IntSlider(value=100, description='plot_step', max=1527, step=10), FloatSlider(value=0.1,…"
       ]
      },
      "metadata": {},
@@ -215,7 +215,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "metadata": {
     "tags": []
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@@ -237,7 +237,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 9,
    "metadata": {
     "tags": []
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@@ -271,9 +271,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 10,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "869f679e69634d86814005f252d02a44",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatSlider(value=0.01, description='annotation_cutoff', max=4.0, min=0.01), Output()), …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "@interact(\n",
     "    annotation_cutoff=widgets.FloatSlider(value=1e-2, min=1e-2, max=4, steps=10),\n",
@@ -330,7 +345,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 11,
    "metadata": {
     "tags": []
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@@ -356,9 +371,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 12,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "60018b4f3cec4fc4b355509ef18d5ec1",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatLogSlider(value=1e-05, description='annotation_cutoff', max=-4.0, min=-5.0), Output…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "@interact(\n",
     "    annotation_cutoff=widgets.FloatLogSlider(\n",
@@ -404,7 +434,7 @@
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    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
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diff --git a/reactors/nonideal_shock_tube.ipynb b/reactors/nonideal_shock_tube.ipynb
index 7d2bfae..87bb761 100644
--- a/reactors/nonideal_shock_tube.ipynb
+++ b/reactors/nonideal_shock_tube.ipynb
@@ -38,14 +38,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Runnning Cantera version: 2.6.0a4\n"
+      "Runnning Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -62,7 +62,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -90,7 +90,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -106,7 +106,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -151,14 +151,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Computed Ignition Delay: 4.093e-04 seconds. Took 6.81s to compute\n"
+      "Computed Ignition Delay: 4.093e-04 seconds. Took 3.95s to compute\n"
      ]
     }
    ],
@@ -211,7 +211,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
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-       "    <dc:date>2022-04-05T14:23:31.990382</dc:date>\n",
+       "    <dc:date>2023-11-06T00:39:21.354009</dc:date>\n",
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-       "L 0 424.798949 \n",
        "z\n",
-       "\" style=\"fill: none\"/>\n",
+       "\" style=\"fill: #ffffff\"/>\n",
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        "   </g>\n",
        "   <g id=\"text_20\">\n",
        "    <!-- Ignition Delay Time (IDT) -->\n",
-       "    <g transform=\"translate(102.042017 132.383636)scale(0.16 -0.16)\">\n",
+       "    <g transform=\"translate(102.042017 132.382891) scale(0.16 -0.16)\">\n",
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@@ -1659,8 +1647,8 @@
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        " <defs>\n",
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@@ -1669,9 +1657,7 @@
        "<Figure size 1200x720 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -1679,7 +1665,7 @@
     "fig, ax = plt.subplots(figsize=(10, 6))\n",
     "ax.plot(time_history_df.index, time_history_df[\"Y_oh\"], \"-o\", color=\"b\", markersize=4)\n",
     "ax.set_xlabel(\"Time (s)\")\n",
-    "ax.set_ylabel(r\"$\\mathdefault{OH\\, mass\\, fraction,}\\,  Y_{OH}}$\")\n",
+    "ax.set_ylabel(\"$\\mathdefault{OH\\, mass\\, fraction,}\\,  Y_{OH}$\")\n",
     "\n",
     "# Figure formatting:\n",
     "ax.set_xlim([0, 0.00075])\n",
@@ -1715,7 +1701,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1753,35 +1739,36 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Computed Ignition Delay: 1.123e-06 seconds for T=1666.6666666666667K. Took 4.71s to compute\n",
-      "Computed Ignition Delay: 4.653e-06 seconds for T=1428.5714285714287K. Took 4.90s to compute\n",
-      "Computed Ignition Delay: 2.274e-05 seconds for T=1250.0K. Took 5.61s to compute\n",
-      "Computed Ignition Delay: 1.148e-04 seconds for T=1111.111111111111K. Took 6.48s to compute\n",
-      "Computed Ignition Delay: 1.698e-04 seconds for T=1081.081081081081K. Took 6.16s to compute\n",
-      "Computed Ignition Delay: 2.451e-04 seconds for T=1052.6315789473683K. Took 6.33s to compute\n",
-      "Computed Ignition Delay: 3.344e-04 seconds for T=1025.6410256410256K. Took 6.38s to compute\n",
-      "Computed Ignition Delay: 4.093e-04 seconds for T=1000.0K. Took 6.77s to compute\n",
-      "Computed Ignition Delay: 4.293e-04 seconds for T=975.6097560975609K. Took 7.11s to compute\n",
-      "Computed Ignition Delay: 3.960e-04 seconds for T=952.3809523809523K. Took 7.03s to compute\n",
-      "Computed Ignition Delay: 3.500e-04 seconds for T=930.2325581395347K. Took 7.24s to compute\n",
-      "Computed Ignition Delay: 3.206e-04 seconds for T=909.090909090909K. Took 7.24s to compute\n",
-      "Computed Ignition Delay: 3.141e-04 seconds for T=869.5652173913044K. Took 7.46s to compute\n",
-      "Computed Ignition Delay: 3.357e-04 seconds for T=833.3333333333334K. Took 8.00s to compute\n",
-      "Computed Ignition Delay: 3.852e-04 seconds for T=800.0K. Took 8.30s to compute\n",
-      "Computed Ignition Delay: 5.127e-04 seconds for T=769.2307692307693K. Took 8.36s to compute\n",
-      "Computed Ignition Delay: 8.068e-04 seconds for T=740.7407407407408K. Took 8.72s to compute\n",
-      "Computed Ignition Delay: 1.432e-03 seconds for T=714.2857142857143K. Took 8.82s to compute\n"
+      "Computed Ignition Delay: 1.126e-06 seconds for T=3404.096840292843K. Took 2.63s to compute\n",
+      "Computed Ignition Delay: 4.657e-06 seconds for T=3304.2304782661195K. Took 2.96s to compute\n",
+      "Computed Ignition Delay: 2.274e-05 seconds for T=3227.003237879922K. Took 3.27s to compute\n",
+      "Computed Ignition Delay: 1.148e-04 seconds for T=3164.365404062119K. Took 3.81s to compute\n",
+      "Computed Ignition Delay: 1.698e-04 seconds for T=3149.8188246866016K. Took 3.62s to compute\n",
+      "Computed Ignition Delay: 2.451e-04 seconds for T=3135.1980391089005K. Took 3.68s to compute\n",
+      "Computed Ignition Delay: 3.344e-04 seconds for T=3120.214201030819K. Took 3.89s to compute\n",
+      "Computed Ignition Delay: 4.093e-04 seconds for T=3104.7780922722122K. Took 3.95s to compute\n",
+      "Computed Ignition Delay: 4.292e-04 seconds for T=3089.216442092766K. Took 3.94s to compute\n",
+      "Computed Ignition Delay: 3.960e-04 seconds for T=3074.2004661671817K. Took 4.09s to compute\n",
+      "Computed Ignition Delay: 3.500e-04 seconds for T=3060.3350028544382K. Took 4.33s to compute\n",
+      "Computed Ignition Delay: 3.206e-04 seconds for T=3047.9816197980153K. Took 4.65s to compute\n",
+      "Computed Ignition Delay: 3.141e-04 seconds for T=3028.1423436794394K. Took 4.55s to compute\n",
+      "Computed Ignition Delay: 3.357e-04 seconds for T=3013.1202932066217K. Took 4.59s to compute\n",
+      "Computed Ignition Delay: 3.852e-04 seconds for T=2999.9631405076843K. Took 4.81s to compute\n",
+      "Computed Ignition Delay: 5.127e-04 seconds for T=2987.3410227105273K. Took 4.93s to compute\n",
+      "Computed Ignition Delay: 8.067e-04 seconds for T=2975.416785518215K. Took 5.28s to compute\n",
+      "Computed Ignition Delay: 1.432e-03 seconds for T=2964.3982565647166K. Took 5.48s to compute\n"
      ]
     }
    ],
    "source": [
+    "taus = []\n",
     "for i, state in enumerate(ignition_delays):\n",
     "    # Set up the gas and reactor\n",
     "    gas.TPX = state.TPX\n",
@@ -1794,7 +1781,7 @@
     "    t = 0\n",
     "    counter = 0\n",
     "\n",
-    "    while t < ignition_delays._extra[\"tau\"][i]:\n",
+    "    while t < ignition_delays.tau[i]:\n",
     "        t = reactor_network.step()\n",
     "        if not counter % 20:\n",
     "            time_history.append(t)\n",
@@ -1808,7 +1795,9 @@
     "        f\"Computed Ignition Delay: {tau:.3e} seconds for T={state.T}K. Took {t1 - t0:3.2f}s to compute\"\n",
     "    )\n",
     "\n",
-    "    ignition_delays._extra[\"tau\"][i] = tau"
+    "    taus.append(tau)\n",
+    "\n",
+    "ignition_delays.tau = taus"
    ]
   },
   {
@@ -1820,7 +1809,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
@@ -1834,11 +1823,11 @@
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        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2022-04-05T14:25:38.008641</dc:date>\n",
+       "    <dc:date>2023-11-06T00:56:23.318934</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
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        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -1853,9 +1842,8 @@
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+       "\" style=\"fill: #ffffff\"/>\n",
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        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
@@ -1870,17 +1858,17 @@
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        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
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        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- 0.6 -->\n",
-       "      <g transform=\"translate(81.602898 394.464375)scale(0.12 -0.12)\">\n",
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@@ -1977,12 +1965,12 @@
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        "     <g id=\"text_4\">\n",
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@@ -2080,12 +2068,12 @@
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        "     <g id=\"text_5\">\n",
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        "     <g id=\"text_6\">\n",
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        "      <defs>\n",
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-       "      <g transform=\"translate(70.150398 32.475625)scale(0.12 -0.12)\">\n",
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@@ -3279,7 +3267,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p479f7831ea\">\n",
+       "  <clipPath id=\"p46db999107\">\n",
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        " </defs>\n",
@@ -3289,9 +3277,7 @@
        "<Figure size 1200x720 with 2 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -3327,7 +3313,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.13"
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diff --git a/reactors/stirred_reactor.ipynb b/reactors/stirred_reactor.ipynb
index 22d48aa..e6e9f43 100644
--- a/reactors/stirred_reactor.ipynb
+++ b/reactors/stirred_reactor.ipynb
@@ -23,14 +23,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Running Cantera version: 2.6.0a4\n"
+      "Running Cantera version: 3.0.0\n"
      ]
     }
    ],
@@ -60,7 +60,7 @@
     "import matplotlib.pyplot as plt\n",
     "\n",
     "plt.style.use(\"ggplot\")\n",
-    "plt.style.use(\"seaborn-pastel\")\n",
+    "plt.style.use(\"seaborn-v0_8-pastel\")\n",
     "\n",
     "plt.rcParams[\"axes.labelsize\"] = 18\n",
     "plt.rcParams[\"xtick.labelsize\"] = 14\n",
@@ -83,19 +83,21 @@
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
+     "name": "stderr",
      "output_type": "stream",
      "text": [
-      "CanteraWarning: NasaPoly2::validate: \n",
-      "For species OHV, discontinuity in h/RT detected at Tmid = 1000.0\n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_2492\\3900820458.py:1: UserWarning: NasaPoly2::validate: \n",
+      "For species OHV, discontinuity in h/RT detected at Tmid = 1000\n",
       "\tValue computed using low-temperature polynomial:  53.62056162666667\n",
       "\tValue computed using high-temperature polynomial: 53.5841554314\n",
       "\n",
-      "CanteraWarning: NasaPoly2::validate: \n",
-      "For species CHV, discontinuity in h/RT detected at Tmid = 1000.0\n",
+      "  gas = ct.Solution(\"../data/galway.yaml\")\n",
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_2492\\3900820458.py:1: UserWarning: NasaPoly2::validate: \n",
+      "For species CHV, discontinuity in h/RT detected at Tmid = 1000\n",
       "\tValue computed using low-temperature polynomial:  107.5046684\n",
-      "\tValue computed using high-temperature polynomial: 107.34847808033334\n",
-      "\n"
+      "\tValue computed using high-temperature polynomial: 107.34847808033332\n",
+      "\n",
+      "  gas = ct.Solution(\"../data/galway.yaml\")\n"
      ]
     }
    ],
@@ -167,7 +169,16 @@
    "cell_type": "code",
    "execution_count": 6,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_2492\\3797003072.py:12: DeprecationWarning: PressureController: The 'master' keyword argument is deprecated; use 'primary' instead.\n",
+      "  pressure_regulator = ct.PressureController(\n"
+     ]
+    }
+   ],
    "source": [
     "fuel_air_mixture_tank = ct.Reservoir(gas)\n",
     "exhaust = ct.Reservoir(gas)\n",
@@ -209,7 +220,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Simulation Took 42.59s to compute, with 1245 steps\n"
+      "Simulation Took 48.08s to compute, with 1196 steps\n"
      ]
     }
    ],
@@ -262,16 +273,16 @@
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-       "    <dc:date>2022-04-05T14:29:29.842724</dc:date>\n",
+       "    <dc:date>2023-11-06T00:57:46.955650</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
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@@ -1589,21 +1570,29 @@
    "execution_count": 12,
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "C:\\Users\\Niclas\\AppData\\Local\\Temp\\ipykernel_2492\\2785539317.py:15: DeprecationWarning: PressureController: The 'master' keyword argument is deprecated; use 'primary' instead.\n",
+      "  pressure_regulator = ct.PressureController(\n"
+     ]
+    },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Simulation at T=650K took 49.27s to compute\n",
-      "Simulation at T=700K took 31.94s to compute\n",
-      "Simulation at T=750K took 19.57s to compute\n",
-      "Simulation at T=775K took 19.54s to compute\n",
-      "Simulation at T=825K took 26.57s to compute\n",
-      "Simulation at T=850K took 28.18s to compute\n",
-      "Simulation at T=875K took 26.19s to compute\n",
-      "Simulation at T=925K took 23.82s to compute\n",
-      "Simulation at T=950K took 23.77s to compute\n",
-      "Simulation at T=1075K took 26.78s to compute\n",
-      "Simulation at T=1100K took 24.01s to compute\n"
+      "Simulation at T=650K took 34.92s to compute\n",
+      "Simulation at T=700K took 25.85s to compute\n",
+      "Simulation at T=750K took 14.66s to compute\n",
+      "Simulation at T=775K took 14.56s to compute\n",
+      "Simulation at T=825K took 21.27s to compute\n",
+      "Simulation at T=850K took 19.70s to compute\n",
+      "Simulation at T=875K took 15.81s to compute\n",
+      "Simulation at T=925K took 18.04s to compute\n",
+      "Simulation at T=950K took 17.78s to compute\n",
+      "Simulation at T=1075K took 20.31s to compute\n",
+      "Simulation at T=1100K took 17.42s to compute\n"
      ]
     }
    ],
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-       "    <dc:date>2022-04-05T14:34:29.869052</dc:date>\n",
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        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
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@@ -1925,7 +1914,7 @@
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