diff --git a/Project.toml b/Project.toml
index 64b209a..13f05f2 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "MAGEMin_C"
 uuid = "e5d170eb-415a-4524-987b-12f1bce1ddab"
 authors = ["Boris Kaus <kaus@uni-mainz.de> & Nicolas Riel <riel@uni-mainz.de>"]
-version = "1.5.6"
+version = "1.5.7"
 
 [deps]
 CEnum = "fa961155-64e5-5f13-b03f-caf6b980ea82"
@@ -17,6 +17,6 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 CEnum = "0.4"
 DataFrames = "1.6.1"
 CSV = "0.10.14"
-MAGEMin_jll = "1.5.2 - 1.5.2"
+MAGEMin_jll = "1.5.3 - 1.5.3"
 ProgressMeter = "1"
 julia = "1.6"
diff --git a/gen/epilogue.jl b/gen/epilogue.jl
index 04ce0b2..b4fca70 100644
--- a/gen/epilogue.jl
+++ b/gen/epilogue.jl
@@ -19,6 +19,7 @@ struct SS_data
     Vs::Cdouble
     Comp::Vector{Cdouble}
     Comp_wt::Vector{Cdouble}
+    Comp_apfu::Vector{Cdouble}
     compVariables::Vector{Cdouble}
     compVariablesNames::Vector{String}
     siteFractions::Vector{Cdouble}
@@ -29,12 +30,14 @@ struct SS_data
     emChemPot::Vector{Cdouble}
     emComp::Vector{Vector{Float64}}
     emComp_wt::Vector{Vector{Float64}}
+    emComp_apfu::Vector{Vector{Float64}}
 end
 
 function Base.convert(::Type{SS_data}, a::stb_SS_phases) 
     return SS_data(a.f, a.G, a.deltaG, a.V, a.alpha, a.entropy, a.enthalpy, a.cp, a.rho, a.bulkMod, a.shearMod, a.Vp, a.Vs,
                                     unsafe_wrap( Vector{Cdouble},        a.Comp,             a.nOx),
                                     unsafe_wrap( Vector{Cdouble},        a.Comp_wt,          a.nOx),
+                                    unsafe_wrap( Vector{Cdouble},        a.Comp_apfu,        a.nOx),
                                     unsafe_wrap( Vector{Cdouble},        a.compVariables,    a.n_xeos),
                     unsafe_string.( unsafe_wrap( Vector{Ptr{Int8}},      a.compVariablesNames,a.n_xeos)),
                                     unsafe_wrap( Vector{Cdouble},        a.siteFractions,    a.n_sf),
@@ -44,7 +47,8 @@ function Base.convert(::Type{SS_data}, a::stb_SS_phases)
                                     unsafe_wrap( Vector{Cdouble},        a.emFrac_wt,        a.n_em),
                                     unsafe_wrap( Vector{Cdouble},        a.emChemPot,        a.n_em),
       unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp, a.n_em),  a.nOx),
-      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_wt, a.n_em),  a.nOx)   )
+      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_wt, a.n_em),  a.nOx),
+      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_apfu, a.n_em),  a.nOx)   )
 end
 
 # metastable phases
@@ -92,12 +96,14 @@ struct PP_data
     Vs::Cdouble
     Comp::Vector{Cdouble}
     Comp_wt::Vector{Cdouble}
+    Comp_apfu::Vector{Cdouble}
 end
 
 function Base.convert(::Type{PP_data}, a::stb_PP_phases) 
     return PP_data(a.f, a.G, a.deltaG, a.V, a.alpha, a.entropy, a.enthalpy, a.cp, a.rho, a.bulkMod, a.shearMod, a.Vp, a.Vs,
                     unsafe_wrap(Vector{Cdouble},a.Comp, a.nOx),
-                    unsafe_wrap(Vector{Cdouble},a.Comp_wt, a.nOx))
+                    unsafe_wrap(Vector{Cdouble},a.Comp_wt, a.nOx),
+                    unsafe_wrap(Vector{Cdouble},a.Comp_apfu, a.nOx))
 end
 
 
diff --git a/gen/magemin_library.jl b/gen/magemin_library.jl
index d516cb4..b16cda7 100644
--- a/gen/magemin_library.jl
+++ b/gen/magemin_library.jl
@@ -638,6 +638,7 @@ mutable struct global_variables
     numPoint::Cint
     global_ite::Cint
     H2O_id::Cint
+    S_id::Cint
     Al2O3_id::Cint
     K2O_id::Cint
     O_id::Cint
@@ -1033,6 +1034,8 @@ struct stb_SS_phases
     emComp::Ptr{Ptr{Cdouble}}
     Comp_wt::Ptr{Cdouble}
     emComp_wt::Ptr{Ptr{Cdouble}}
+    Comp_apfu::Ptr{Cdouble}
+    emComp_apfu::Ptr{Ptr{Cdouble}}
 end
 
 const stb_SS_phase = stb_SS_phases
@@ -1073,6 +1076,7 @@ struct stb_PP_phases
     Vs::Cdouble
     Comp::Ptr{Cdouble}
     Comp_wt::Ptr{Cdouble}
+    Comp_apfu::Ptr{Cdouble}
 end
 
 const stb_PP_phase = stb_PP_phases
@@ -1170,6 +1174,10 @@ function get_bulk_ultramafic(gv)
     ccall((:get_bulk_ultramafic, libMAGEMin), global_variable, (global_variable,), gv)
 end
 
+function get_bulk_ultramafic_ext(gv)
+    ccall((:get_bulk_ultramafic_ext, libMAGEMin), global_variable, (global_variable,), gv)
+end
+
 mutable struct Database
     PP_ref_db::Ptr{PP_ref}
     SS_ref_db::Ptr{SS_ref}
@@ -1237,6 +1245,10 @@ function TC_SS_init_um(SS_init, gv)
     ccall((:TC_SS_init_um, libMAGEMin), Cvoid, (Ptr{SS_init_type}, global_variable), SS_init, gv)
 end
 
+function TC_SS_init_um_ext(SS_init, gv)
+    ccall((:TC_SS_init_um_ext, libMAGEMin), Cvoid, (Ptr{SS_init_type}, global_variable), SS_init, gv)
+end
+
 function TC_SS_init(SS_init, gv)
     ccall((:TC_SS_init, libMAGEMin), Cvoid, (Ptr{SS_init_type}, global_variable), SS_init, gv)
 end
@@ -1269,6 +1281,10 @@ function G_SS_um_EM_function(gv, SS_ref_db, EM_dataset, z_b, name)
     ccall((:G_SS_um_EM_function, libMAGEMin), SS_ref, (global_variable, SS_ref, Cint, bulk_info, Ptr{Cchar}), gv, SS_ref_db, EM_dataset, z_b, name)
 end
 
+function G_SS_um_ext_EM_function(gv, SS_ref_db, EM_dataset, z_b, name)
+    ccall((:G_SS_um_ext_EM_function, libMAGEMin), SS_ref, (global_variable, SS_ref, Cint, bulk_info, Ptr{Cchar}), gv, SS_ref_db, EM_dataset, z_b, name)
+end
+
 mutable struct em_datas
     C::NTuple{14, Cdouble}
     ElShearMod::Cdouble
@@ -1303,6 +1319,10 @@ function TC_um_objective_init_function(SS_objective, gv)
     ccall((:TC_um_objective_init_function, libMAGEMin), Cvoid, (Ptr{obj_type}, global_variable), SS_objective, gv)
 end
 
+function TC_um_ext_objective_init_function(SS_objective, gv)
+    ccall((:TC_um_ext_objective_init_function, libMAGEMin), Cvoid, (Ptr{obj_type}, global_variable), SS_objective, gv)
+end
+
 function TC_SS_objective_init_function(SS_objective, gv)
     ccall((:TC_SS_objective_init_function, libMAGEMin), Cvoid, (Ptr{obj_type}, global_variable), SS_objective, gv)
 end
@@ -1566,6 +1586,18 @@ function obj_um_po(n, x, grad, SS_ref_db)
     ccall((:obj_um_po, libMAGEMin), Cdouble, (Cuint, Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cvoid}), n, x, grad, SS_ref_db)
 end
 
+function obj_ume_pl4tr(n, x, grad, SS_ref_db)
+    ccall((:obj_ume_pl4tr, libMAGEMin), Cdouble, (Cuint, Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cvoid}), n, x, grad, SS_ref_db)
+end
+
+function obj_ume_hb(n, x, grad, SS_ref_db)
+    ccall((:obj_ume_hb, libMAGEMin), Cdouble, (Cuint, Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cvoid}), n, x, grad, SS_ref_db)
+end
+
+function obj_ume_aug(n, x, grad, SS_ref_db)
+    ccall((:obj_ume_aug, libMAGEMin), Cdouble, (Cuint, Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cvoid}), n, x, grad, SS_ref_db)
+end
+
 function obj_aq17(n, x, grad, SS_ref_db)
     ccall((:obj_aq17, libMAGEMin), Cdouble, (Cuint, Ptr{Cdouble}, Ptr{Cdouble}, Ptr{Cvoid}), n, x, grad, SS_ref_db)
 end
@@ -1590,6 +1622,10 @@ function TC_um_PC_init(PC_read, gv)
     ccall((:TC_um_PC_init, libMAGEMin), Cvoid, (Ptr{PC_type}, global_variable), PC_read, gv)
 end
 
+function TC_um_ext_PC_init(PC_read, gv)
+    ccall((:TC_um_ext_PC_init, libMAGEMin), Cvoid, (Ptr{PC_type}, global_variable), PC_read, gv)
+end
+
 # typedef void ( * sf_type ) ( unsigned m , double * result , unsigned n , const double * x , double * grad , void * data )
 const sf_type = Ptr{Cvoid}
 
@@ -1616,6 +1652,10 @@ function TC_um_NLopt_opt_init(NLopt_opt, gv)
     ccall((:TC_um_NLopt_opt_init, libMAGEMin), Cvoid, (Ptr{NLopt_type}, global_variable), NLopt_opt, gv)
 end
 
+function TC_um_ext_NLopt_opt_init(NLopt_opt, gv)
+    ccall((:TC_um_ext_NLopt_opt_init, libMAGEMin), Cvoid, (Ptr{NLopt_type}, global_variable), NLopt_opt, gv)
+end
+
 function TC_NLopt_opt_init(NLopt_opt, gv)
     ccall((:TC_NLopt_opt_init, libMAGEMin), Cvoid, (Ptr{NLopt_type}, global_variable), NLopt_opt, gv)
 end
@@ -1678,6 +1718,7 @@ mutable struct oxide_datas
     oxMass::NTuple{15, Cdouble}
     atPerOx::NTuple{15, Cdouble}
     ElEntropy::NTuple{15, Cdouble}
+    OPerOx::NTuple{15, Cdouble}
     oxide_datas() = new()
 end
 
@@ -1791,6 +1832,32 @@ end
 
 const ultramafic_dataset = ultramafic_datasets
 
+mutable struct ultramafic_ext_datasets
+    ds_version::Cint
+    n_ox::Cint
+    n_pp::Cint
+    n_ss::Cint
+    ox::NTuple{9, NTuple{20, Cchar}}
+    PP::NTuple{21, NTuple{20, Cchar}}
+    SS::NTuple{15, NTuple{20, Cchar}}
+    verifyPC::NTuple{15, Cint}
+    n_SS_PC::NTuple{15, Cint}
+    SS_PC_stp::NTuple{15, Cdouble}
+    PC_df_add::Cdouble
+    solver_switch_T::Cdouble
+    min_melt_T::Cdouble
+    inner_PGE_ite::Cdouble
+    max_n_phase::Cdouble
+    max_g_phase::Cdouble
+    max_fac::Cdouble
+    merge_value::Cdouble
+    re_in_n::Cdouble
+    obj_tol::Cdouble
+    ultramafic_ext_datasets() = new()
+end
+
+const ultramafic_ext_dataset = ultramafic_ext_datasets
+
 function global_variable_TC_init(gv, z_b)
     ccall((:global_variable_TC_init, libMAGEMin), global_variable, (global_variable, Ptr{bulk_info}), gv, z_b)
 end
@@ -2328,6 +2395,7 @@ struct SS_data
     Vs::Cdouble
     Comp::Vector{Cdouble}
     Comp_wt::Vector{Cdouble}
+    Comp_apfu::Vector{Cdouble}
     compVariables::Vector{Cdouble}
     compVariablesNames::Vector{String}
     siteFractions::Vector{Cdouble}
@@ -2338,12 +2406,14 @@ struct SS_data
     emChemPot::Vector{Cdouble}
     emComp::Vector{Vector{Float64}}
     emComp_wt::Vector{Vector{Float64}}
+    emComp_apfu::Vector{Vector{Float64}}
 end
 
 function Base.convert(::Type{SS_data}, a::stb_SS_phases) 
     return SS_data(a.f, a.G, a.deltaG, a.V, a.alpha, a.entropy, a.enthalpy, a.cp, a.rho, a.bulkMod, a.shearMod, a.Vp, a.Vs,
                                     unsafe_wrap( Vector{Cdouble},        a.Comp,             a.nOx),
                                     unsafe_wrap( Vector{Cdouble},        a.Comp_wt,          a.nOx),
+                                    unsafe_wrap( Vector{Cdouble},        a.Comp_apfu,        a.nOx),
                                     unsafe_wrap( Vector{Cdouble},        a.compVariables,    a.n_xeos),
                     unsafe_string.( unsafe_wrap( Vector{Ptr{Int8}},      a.compVariablesNames,a.n_xeos)),
                                     unsafe_wrap( Vector{Cdouble},        a.siteFractions,    a.n_sf),
@@ -2353,7 +2423,8 @@ function Base.convert(::Type{SS_data}, a::stb_SS_phases)
                                     unsafe_wrap( Vector{Cdouble},        a.emFrac_wt,        a.n_em),
                                     unsafe_wrap( Vector{Cdouble},        a.emChemPot,        a.n_em),
       unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp, a.n_em),  a.nOx),
-      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_wt, a.n_em),  a.nOx)   )
+      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_wt, a.n_em),  a.nOx),
+      unsafe_wrap.(Vector{Cdouble}, unsafe_wrap( Vector{Ptr{Cdouble}},   a.emComp_apfu, a.n_em),  a.nOx)   )
 end
 
 # metastable phases
@@ -2401,12 +2472,14 @@ struct PP_data
     Vs::Cdouble
     Comp::Vector{Cdouble}
     Comp_wt::Vector{Cdouble}
+    Comp_apfu::Vector{Cdouble}
 end
 
 function Base.convert(::Type{PP_data}, a::stb_PP_phases) 
     return PP_data(a.f, a.G, a.deltaG, a.V, a.alpha, a.entropy, a.enthalpy, a.cp, a.rho, a.bulkMod, a.shearMod, a.Vp, a.Vs,
                     unsafe_wrap(Vector{Cdouble},a.Comp, a.nOx),
-                    unsafe_wrap(Vector{Cdouble},a.Comp_wt, a.nOx))
+                    unsafe_wrap(Vector{Cdouble},a.Comp_wt, a.nOx),
+                    unsafe_wrap(Vector{Cdouble},a.Comp_apfu, a.nOx))
 end
 
 
diff --git a/julia/MAGEMin_wrappers.jl b/julia/MAGEMin_wrappers.jl
index 29086f7..321cff3 100644
--- a/julia/MAGEMin_wrappers.jl
+++ b/julia/MAGEMin_wrappers.jl
@@ -168,7 +168,7 @@ end
 
 """
     Holds the overriding Ws parameters
-0 = "mp", 1 = "mb", 2 = "ig", 3 = "igd", 4 = "um", 5 = "ige", 6 = "alk"
+0 = "mp", 1 = "mb", 2 = "ig", 3 = "igd", 4 = "um", 5 = "ume", 6 = "alk"
 """
 mutable struct W_Data
     SS_id   :: Vector{Int64}
@@ -182,8 +182,8 @@ end
 """
 function retrieve_solution_phase_information(dtb)
 
-    db_inf  = db_infos[db_infos("mp", "Metapelite (White et al., 2014)", ss_infos[ss_infos("liq", 8, 7, ["none", "q4L", "abL", "kspL", "anL", "slL", "fo2L", "fa2L", "h2oL"], ["none", "q", "fsp", "na", "an", "ol", "x", "h2o"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("bi", 7, 6, ["none", "phl", "annm", "obi", "east", "tbi", "fbi", "mmbi"], ["none", "x", "m", "y", "f", "t", "Q"]), ss_infos("g", 5, 4, ["none", "py", "alm", "spss", "gr", "kho"], ["none", "x", "z", "m", "f"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("ma", 6, 5, ["none", "mut", "celt", "fcelt", "pat", "ma", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("mu", 6, 5, ["none", "mut", "cel", "fcel", "pat", "ma", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("opx", 7, 6, ["none", "en", "fs", "fm", "mgts", "fopx", "mnopx", "odi"], ["none", "x", "m", "y", "f", "c", "Q"]), ss_infos("sa", 5, 4, ["none", "spr4", "spr5", "fspm", "spro", "ospr"], ["none", "x", "y", "f", "Q"]), ss_infos("cd", 4, 3, ["none", "crd", "fcrd", "hcrd", "mncd"], ["none", "x", "m", "h"]), ss_infos("st", 5, 4, ["none", "mstm", "fst", "mnstm", "msto", "mstt"], ["none", "x", "m", "f", "t"]), ss_infos("chl", 8, 7, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin", "mmchl"], ["none", "x", "y", "f", "m", "QAl", "Q1", "Q4"]), ss_infos("ctd", 4, 3, ["none", "mctd", "fctd", "mnct", "ctdo"], ["none", "x", "m", "f"]), ss_infos("sp", 4, 3, ["none", "herc", "sp", "mt", "usp"], ["none", "x", "y", "z"]), ss_infos("ilmm", 5, 4, ["none", "oilm", "dilm", "dhem", "geik", "pnt"], ["none", "i", "g", "m", "Q"])], ["liq", "fsp", "bi", "g", "ep", "ma", "mu", "opx", "sa", "cd", "st", "chl", "ctd", "sp", "ilmm"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "ru", "sph", "O2", "H2O", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("mb", "Metabasite (Green et al., 2016)", ss_infos[ss_infos("sp", 4, 3, ["none", "0\x92>\x02", "\xf0\x1c\xfd\x02", "", "\xe0\xd9\x11\x02"], ["none", "", "", "\xf0[\f\xc0\xfd~"]), ss_infos("opx", 6, 5, ["none", "en", "fs", "fm", "mgts", "fopx", "odi"], ["none", "x", "y", "f", "c", "Q"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("liq", 9, 8, ["none", "q4L", "abL", "kspL", "wo1L", "sl1L", "fa2L", "fo2L", "h2oL", "anoL"], ["none", "q", "fsp", "na", "wo", "sil", "ol", "x", "yan"]), ss_infos("mu", 6, 5, ["none", "mu", "cel", "fcel", "pa", "mam", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("ilm", 3, 2, ["none", "oilm", "dilm", "dhem"], ["none", "x", "Q"]), ss_infos("ol", 2, 1, ["none", "fo", "fa"], ["none", "x"]), ss_infos("hb", 11, 10, ["none", "tr", "tsm", "prgm", "glm", "cumm", "grnm", "a", "b", "mrb", "kprg", "tts"], ["none", "x", "y", "z", "a", "k", "c", "f", "t", "Q1", "Q2"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("g", 4, 3, ["none", "py", "alm", "gr", "kho"], ["none", "x", "z", "f"]), ss_infos("chl", 7, 6, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin"], ["none", "x", "y", "f", "QAl", "Q1", "Q4"]), ss_infos("bi", 6, 5, ["none", "phl", "annm", "obi", "east", "tbi", "fbi"], ["none", "x", "y", "f", "t", "Q"]), ss_infos("dio", 7, 6, ["none", "jd", "di", "hed", "acmm", "om", "cfm", "jac"], ["none", "x", "j", "t", "c", "Qaf", "Qfm"]), ss_infos("abc", 2, 1, ["none", "abm", "anm"], ["none", "ca"]), ss_infos("spn", 3, 2, ["none", "herc", "sp", "usp"], ["none", "x", "y"])], ["sp", "opx", "fsp", "liq", "mu", "ilm", "ol", "hb", "ep", "g", "chl", "bi", "dio", "abc", "spn"], ["q", "crst", "trd", "coe", "law", "ky", "sill", "and", "ru", "sph", "sph", "ab", "H2O", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("ig", "Igneous (Holland et al., 2018)", ss_infos[ss_infos("spn", 8, 7, ["none", "nsp", "isp", "nhc", "ihc", "nmt", "imt", "pcr", "qndm"], ["none", "x", "y", "c", "t", "Q1", "Q2", "Q3"]), ss_infos("bi", 6, 5, ["none", "phl", "annm", "obi", "eas", "tbi", "fbi"], ["none", "x", "y", "f", "t", "Q"]), ss_infos("cd", 3, 2, ["none", "crd", "fcrd", "hcrd"], ["none", "x", "h"]), ss_infos("cpx", 10, 9, ["none", "di", "cfs", "cats", "crdi", "cess", "cbuf", "jd", "cen", "cfm", "kjd"], ["none", "x", "y", "o", "n", "Q", "f", "cr", "t", "k"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("g", 6, 5, ["none", "py", "alm", "gr", "andr", "knom", "tig"], ["none", "x", "c", "f", "cr", "t"]), ss_infos("hb", 11, 10, ["none", "tr", "tsm", "prgm", "glm", "cumm", "grnm", "a", "b", "mrb", "kprg", "tts"], ["none", "x", "y", "z", "a", "k", "c", "f", "t", "Q1", "Q2"]), ss_infos("ilm", 3, 2, ["none", "oilm", "dilm", "dhem"], ["none", "x", "Q"]), ss_infos("liq", 12, 11, ["none", "q4L", "slL", "wo1L", "fo2L", "fa2L", "jdL", "hmL", "ekL", "tiL", "kjL", "ctL", "h2o1L"], ["none", "wo", "sl", "fo", "fa", "jd", "hm", "ek", "ti", "kj", "yct", "h2o"]), ss_infos("ol", 4, 3, ["none", "mont", "fa", "fo", "cfm"], ["none", "x", "c", "Q"]), ss_infos("opx", 9, 8, ["none", "en", "fs", "fm", "odi", "mgts", "cren", "obuf", "mess", "ojd"], ["none", "x", "y", "c", "Q", "f", "t", "cr", "j"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("fl", 11, 10, ["none", "qfL", "slfL", "wofL", "fofL", "fafL", "jdfL", "hmfL", "ekfL", "tifL", "kjfL", "H2O"], ["none", "wo", "sl", "fo", "fa", "jd", "hm", "ek", "ti", "kj", "h2o"]), ss_infos("mu", 6, 5, ["none", "mu", "cel", "fcel", "pa", "mam", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("fper", 2, 1, ["none", "per", "wu"], ["none", "x"])], ["spn", "bi", "cd", "cpx", "ep", "g", "hb", "ilm", "liq", "ol", "opx", "fsp", "fl", "mu", "fper"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "ru", "sph", "O2", "qfm", "mw", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("um", "Ultramafic (Evans & Frost., 2021)", ss_infos[ss_infos("fl", 2, 1, ["none", "H2", "H2O"], ["none", "x"]), ss_infos("ol", 2, 1, ["none", "fo", "fa"], ["none", "x"]), ss_infos("br", 2, 1, ["none", "br", "fbr"], ["none", "x"]), ss_infos("ch", 2, 1, ["none", "chum", "chuf"], ["none", "x"]), ss_infos("atg", 5, 4, ["none", "atgf", "fatg", "atgo", "aatg", "oatg"], ["none", "x", "y", "f", "t"]), ss_infos("g", 2, 1, ["none", "py", "alm"], ["none", "x"]), ss_infos("ta", 6, 5, ["none", "ta", "fta", "tao", "tats", "ota", "tap"], ["none", "x", "y", "f", "v", "Q"]), ss_infos("chl", 7, 6, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin"], ["none", "x", "y", "f", "m", "t", "QA1"]), ss_infos("spi", 3, 2, ["none", "herc", "sp", "mt"], ["none", "x", "y"]), ss_infos("opx", 5, 4, ["none", "en", "fs", "fm", "mgts", "fopx"], ["none", "x", "y", "f", "Q"]), ss_infos("po", 2, 1, ["none", "trov", "trot"], ["none", "y"]), ss_infos("anth", 5, 4, ["none", "anth", "gedf", "fant", "a", "b"], ["none", "x", "y", "z", "a"])], ["fl", "ol", "br", "ch", "atg", "g", "ta", "chl", "spi", "opx", "po", "anth"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "pyr", "O2", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"])]
-    dbs     = ["mp","mb","ig","um"]
+    db_inf  = db_infos[db_infos("mp", "Metapelite (White et al., 2014)", ss_infos[ss_infos("liq", 8, 7, ["none", "q4L", "abL", "kspL", "anL", "slL", "fo2L", "fa2L", "h2oL"], ["none", "q", "fsp", "na", "an", "ol", "x", "h2o"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("bi", 7, 6, ["none", "phl", "annm", "obi", "east", "tbi", "fbi", "mmbi"], ["none", "x", "m", "y", "f", "t", "Q"]), ss_infos("g", 5, 4, ["none", "py", "alm", "spss", "gr", "kho"], ["none", "x", "z", "m", "f"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("ma", 6, 5, ["none", "mut", "celt", "fcelt", "pat", "ma", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("mu", 6, 5, ["none", "mut", "cel", "fcel", "pat", "ma", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("opx", 7, 6, ["none", "en", "fs", "fm", "mgts", "fopx", "mnopx", "odi"], ["none", "x", "m", "y", "f", "c", "Q"]), ss_infos("sa", 5, 4, ["none", "spr4", "spr5", "fspm", "spro", "ospr"], ["none", "x", "y", "f", "Q"]), ss_infos("cd", 4, 3, ["none", "crd", "fcrd", "hcrd", "mncd"], ["none", "x", "m", "h"]), ss_infos("st", 5, 4, ["none", "mstm", "fst", "mnstm", "msto", "mstt"], ["none", "x", "m", "f", "t"]), ss_infos("chl", 8, 7, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin", "mmchl"], ["none", "x", "y", "f", "m", "QAl", "Q1", "Q4"]), ss_infos("ctd", 4, 3, ["none", "mctd", "fctd", "mnct", "ctdo"], ["none", "x", "m", "f"]), ss_infos("sp", 4, 3, ["none", "herc", "sp", "mt", "usp"], ["none", "x", "y", "z"]), ss_infos("ilmm", 5, 4, ["none", "oilm", "dilm", "dhem", "geik", "pnt"], ["none", "i", "g", "m", "Q"])], ["liq", "fsp", "bi", "g", "ep", "ma", "mu", "opx", "sa", "cd", "st", "chl", "ctd", "sp", "ilmm"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "ru", "sph", "O2", "H2O", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("mb", "Metabasite (Green et al., 2016)", ss_infos[ss_infos("sp", 4, 3, ["none", "herc", "sp", "mt", "usp"], ["none", "x", "y", "z"]), ss_infos("opx", 6, 5, ["none", "en", "fs", "fm", "mgts", "fopx", "odi"], ["none", "x", "y", "f", "c", "Q"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("liq", 9, 8, ["none", "q4L", "abL", "kspL", "wo1L", "sl1L", "fa2L", "fo2L", "h2oL", "anoL"], ["none", "q", "fsp", "na", "wo", "sil", "ol", "x", "yan"]), ss_infos("mu", 6, 5, ["none", "mu", "cel", "fcel", "pa", "mam", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("ilm", 3, 2, ["none", "oilm", "dilm", "dhem"], ["none", "x", "Q"]), ss_infos("ol", 2, 1, ["none", "fo", "fa"], ["none", "x"]), ss_infos("hb", 11, 10, ["none", "tr", "tsm", "prgm", "glm", "cumm", "grnm", "a", "b", "mrb", "kprg", "tts"], ["none", "x", "y", "z", "a", "k", "c", "f", "t", "Q1", "Q2"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("g", 4, 3, ["none", "py", "alm", "gr", "kho"], ["none", "x", "z", "f"]), ss_infos("chl", 7, 6, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin"], ["none", "x", "y", "f", "QAl", "Q1", "Q4"]), ss_infos("bi", 6, 5, ["none", "phl", "annm", "obi", "east", "tbi", "fbi"], ["none", "x", "y", "f", "t", "Q"]), ss_infos("dio", 7, 6, ["none", "jd", "di", "hed", "acmm", "om", "cfm", "jac"], ["none", "x", "j", "t", "c", "Qaf", "Qfm"]), ss_infos("abc", 2, 1, ["none", "abm", "anm"], ["none", "ca"]), ss_infos("spn", 3, 2, ["none", "herc", "sp", "usp"], ["none", "x", "y"])], ["sp", "opx", "fsp", "liq", "mu", "ilm", "ol", "hb", "ep", "g", "chl", "bi", "dio", "abc", "spn"], ["q", "crst", "trd", "coe", "law", "ky", "sill", "and", "ru", "sph", "sph", "ab", "H2O", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("ig", "Igneous (Holland et al., 2018)", ss_infos[ss_infos("spn", 8, 7, ["none", "nsp", "isp", "nhc", "ihc", "nmt", "imt", "pcr", "qndm"], ["none", "x", "y", "c", "t", "Q1", "Q2", "Q3"]), ss_infos("bi", 6, 5, ["none", "phl", "annm", "obi", "eas", "tbi", "fbi"], ["none", "x", "y", "f", "t", "Q"]), ss_infos("cd", 3, 2, ["none", "crd", "fcrd", "hcrd"], ["none", "x", "h"]), ss_infos("cpx", 10, 9, ["none", "di", "cfs", "cats", "crdi", "cess", "cbuf", "jd", "cen", "cfm", "kjd"], ["none", "x", "y", "o", "n", "Q", "f", "cr", "t", "k"]), ss_infos("ep", 3, 2, ["none", "cz", "ep", "fep"], ["none", "f", "Q"]), ss_infos("g", 6, 5, ["none", "py", "alm", "gr", "andr", "knom", "tig"], ["none", "x", "c", "f", "cr", "t"]), ss_infos("hb", 11, 10, ["none", "tr", "tsm", "prgm", "glm", "cumm", "grnm", "a", "b", "mrb", "kprg", "tts"], ["none", "x", "y", "z", "a", "k", "c", "f", "t", "Q1", "Q2"]), ss_infos("ilm", 3, 2, ["none", "oilm", "dilm", "dhem"], ["none", "x", "Q"]), ss_infos("liq", 12, 11, ["none", "q4L", "slL", "wo1L", "fo2L", "fa2L", "jdL", "hmL", "ekL", "tiL", "kjL", "ctL", "h2o1L"], ["none", "wo", "sl", "fo", "fa", "jd", "hm", "ek", "ti", "kj", "yct", "h2o"]), ss_infos("ol", 4, 3, ["none", "mont", "fa", "fo", "cfm"], ["none", "x", "c", "Q"]), ss_infos("opx", 9, 8, ["none", "en", "fs", "fm", "odi", "mgts", "cren", "obuf", "mess", "ojd"], ["none", "x", "y", "c", "Q", "f", "t", "cr", "j"]), ss_infos("fsp", 3, 2, ["none", "ab", "an", "san"], ["none", "ca", "k"]), ss_infos("fl", 11, 10, ["none", "qfL", "slfL", "wofL", "fofL", "fafL", "jdfL", "hmfL", "ekfL", "tifL", "kjfL", "H2O"], ["none", "wo", "sl", "fo", "fa", "jd", "hm", "ek", "ti", "kj", "h2o"]), ss_infos("mu", 6, 5, ["none", "mu", "cel", "fcel", "pa", "mam", "fmu"], ["none", "x", "y", "f", "n", "c"]), ss_infos("fper", 2, 1, ["none", "per", "wu"], ["none", "x"])], ["spn", "bi", "cd", "cpx", "ep", "g", "hb", "ilm", "liq", "ol", "opx", "fsp", "fl", "mu", "fper"], ["ne", "q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "ru", "sph", "O2", "qfm", "mw", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("um", "Ultramafic (Evans & Frost., 2021)", ss_infos[ss_infos("fl", 2, 1, ["none", "H2", "H2O"], ["none", "x"]), ss_infos("ol", 2, 1, ["none", "fo", "fa"], ["none", "x"]), ss_infos("br", 2, 1, ["none", "br", "fbr"], ["none", "x"]), ss_infos("ch", 2, 1, ["none", "chum", "chuf"], ["none", "x"]), ss_infos("atg", 5, 4, ["none", "atgf", "fatg", "atgo", "aatg", "oatg"], ["none", "x", "y", "f", "t"]), ss_infos("g", 2, 1, ["none", "py", "alm"], ["none", "x"]), ss_infos("ta", 6, 5, ["none", "ta", "fta", "tao", "tats", "ota", "tap"], ["none", "x", "y", "f", "v", "Q"]), ss_infos("chl", 7, 6, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin"], ["none", "x", "y", "f", "m", "t", "QA1"]), ss_infos("spi", 3, 2, ["none", "herc", "sp", "mt"], ["none", "x", "y"]), ss_infos("opx", 5, 4, ["none", "en", "fs", "fm", "mgts", "fopx"], ["none", "x", "y", "f", "Q"]), ss_infos("po", 2, 1, ["none", "trov", "trot"], ["none", "y"]), ss_infos("anth", 5, 4, ["none", "anth", "gedf", "fant", "a", "b"], ["none", "x", "y", "z", "a"])], ["fl", "ol", "br", "ch", "atg", "g", "ta", "chl", "spi", "opx", "po", "anth"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "pyr", "O2", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"]), db_infos("ume", "Ultramafic extended (Evans & Frost., 2021) + pl, hb and aug from Green et al., 2016", ss_infos[ss_infos("fl", 2, 1, ["none", "H2", "H2O"], ["none", "x"]), ss_infos("ol", 2, 1, ["none", "fo", "fa"], ["none", "x"]), ss_infos("br", 2, 1, ["none", "br", "fbr"], ["none", "x"]), ss_infos("ch", 2, 1, ["none", "chum", "chuf"], ["none", "x"]), ss_infos("atg", 5, 4, ["none", "atgf", "fatg", "atgo", "aatg", "oatg"], ["none", "x", "y", "f", "t"]), ss_infos("g", 2, 1, ["none", "py", "alm"], ["none", "x"]), ss_infos("ta", 6, 5, ["none", "ta", "fta", "tao", "tats", "ota", "tap"], ["none", "x", "y", "f", "v", "Q"]), ss_infos("chl", 7, 6, ["none", "clin", "afchl", "ames", "daph", "ochl1", "ochl4", "f3clin"], ["none", "x", "y", "f", "m", "t", "QA1"]), ss_infos("spi", 3, 2, ["none", "herc", "sp", "mt"], ["none", "x", "y"]), ss_infos("opx", 5, 4, ["none", "en", "fs", "fm", "mgts", "fopx"], ["none", "x", "y", "f", "Q"]), ss_infos("po", 2, 1, ["none", "trov", "trot"], ["none", "y"]), ss_infos("anth", 5, 4, ["none", "anth", "gedf", "fant", "a", "b"], ["none", "x", "y", "z", "a"]), ss_infos("pl4tr", 2, 1, ["none", "ab", "an"], ["none", "ca"]), ss_infos("hb", 9, 8, ["none", "tr", "tsm", "prgm", "glm", "cumm", "grnm", "a", "b", "mrb"], ["none", "x", "y", "z", "a", "c", "f", "Q1", "Q2"]), ss_infos("aug", 8, 7, ["none", "di", "cenh", "cfs", "jdm", "acmm", "ocats", "dcats", "fmc"], ["none", "x", "y", "f", "z", "j", "Qfm", "Qa1"])], ["fl", "ol", "br", "ch", "atg", "g", "ta", "chl", "spi", "opx", "po", "anth", "pl4tr", "hb", "aug"], ["q", "crst", "trd", "coe", "stv", "ky", "sill", "and", "pyr", "O2", "qfm", "qif", "nno", "hm", "cco", "aH2O", "aO2", "aMgO", "aFeO", "aAl2O3", "aTiO2"])]
+    dbs     = ["mp","mb","ig","um","ume"]
     id      = findall(dbs .== dtb)[1]
 
     return db_inf[id]
@@ -310,12 +310,12 @@ function  init_MAGEMin( db          =  "ig";
         gv.EM_database = 0
     elseif db == "igd"
         gv.EM_database = 3
-    elseif db == "ige"
-        gv.EM_database = 5
     elseif db == "alk"
         gv.EM_database = 6
     elseif db == "um"
         gv.EM_database = 4
+    elseif db == "ume"
+        gv.EM_database = 5
     else
         print("Database not implemented...\n")
     end
@@ -571,6 +571,9 @@ function use_predefined_bulk_rock(gv, test=0, db="ig")
     elseif db == "um"
         gv.test = test
         gv = LibMAGEMin.get_bulk_ultramafic(gv)
+    elseif db == "ume"
+        gv.test = test
+        gv = LibMAGEMin.get_bulk_ultramafic_ext(gv)
     elseif db == "alk"
         gv.test = test
         gv = LibMAGEMin.get_bulk_igneous_alk(gv)
@@ -633,12 +636,34 @@ function convertBulk4MAGEMin(bulk_in::T1,bulk_in_ox::Vector{String},sys_in::Stri
         MAGEMin_ox      = ["SiO2"; "Al2O3"; "CaO"; "MgO"; "FeO"; "K2O"; "Na2O"; "TiO2"; "O"; "H2O"];
     elseif db == "um"
         MAGEMin_ox      = ["SiO2"; "Al2O3"; "MgO"; "FeO"; "O"; "H2O"; "S"];
+    elseif db == "ume"
+        MAGEMin_ox      = ["SiO2"; "Al2O3"; "MgO"; "FeO"; "O"; "H2O"; "S"; "CaO";"Na2O"];
     elseif db == "mp"
         MAGEMin_ox      = ["SiO2"; "Al2O3"; "CaO"; "MgO"; "FeO"; "K2O"; "Na2O"; "TiO2"; "O"; "MnO"; "H2O"];
     else
         print("Database not implemented...\n")
     end
 
+    # here we kick out oxides that are not part of the database
+    filter = setdiff(bulk_in_ox,MAGEMin_ox)
+    keep_ids = []
+    if !isempty(filter)
+        tmp_id    = findall(filter .!= "Fe2O3")
+        if !isempty(tmp_id)
+            filter = filter[tmp_id]
+            
+            for i=1:length(bulk_in_ox)
+                if bulk_in_ox[i] in filter
+                else
+                    push!(keep_ids,i)
+                end
+            end
+
+            bulk_in_ox  = bulk_in_ox[keep_ids]
+            bulk_in     = bulk_in[keep_ids]
+        end
+    end
+
 	MAGEMin_bulk    = zeros(length(MAGEMin_ox));
     bulk            = zeros(length(MAGEMin_ox));
     
@@ -689,8 +714,12 @@ function convertBulk4MAGEMin(bulk_in::T1,bulk_in_ox::Vector{String},sys_in::Stri
     elseif db == "mp"
         c = findall(MAGEMin_ox .!= "TiO2" .&& MAGEMin_ox .!= "O" .&& MAGEMin_ox .!= "MnO" .&& MAGEMin_ox .!= "H2O");
         d = findall(MAGEMin_ox .== "TiO2" .|| MAGEMin_ox .== "O" .|| MAGEMin_ox .!= "MnO");
-    else
-        c = findall(MAGEMin_ox .!= "H2O");
+    elseif db == "um"
+        c = findall( MAGEMin_ox .!= "S" .&& MAGEMin_ox .!= "O" .&& MAGEMin_ox .!= "H2O");
+        d = findall( MAGEMin_ox .== "S" .|| MAGEMin_ox .== "O");
+    elseif db == "ume"
+        c = findall( MAGEMin_ox .!= "S" .&& MAGEMin_ox .!= "O" .&& MAGEMin_ox .!= "H2O");
+        d = findall( MAGEMin_ox .== "S" .|| MAGEMin_ox .== "O");
     end
 
     id0 = findall(MAGEMin_bulk[c] .< 1e-4)
diff --git a/julia/export2CSV.jl b/julia/export2CSV.jl
index e7f55d3..069e2e6 100644
--- a/julia/export2CSV.jl
+++ b/julia/export2CSV.jl
@@ -193,7 +193,7 @@ function MAGEMin_data2dataframe( out:: Union{Vector{gmin_struct{Float64, Int64}}
                                     Symbol("aFeO")          => Float64[],
                                     Symbol("density[kg/m3]")    => Float64[],
                                     Symbol("volume[cm3/mol]")   => Float64[],
-                                    Symbol("heatCapacity[kJ/K]")=> Float64[],
+                                    Symbol("heatCapacity[J/K]")=> Float64[],
                                     Symbol("alpha[1/K]")    => Float64[],
                                     Symbol("Entropy[J/K]")  => Float64[],
                                     Symbol("Enthalpy[J]")   => Float64[],
@@ -239,7 +239,7 @@ function MAGEMin_data2dataframe( out:: Union{Vector{gmin_struct{Float64, Int64}}
                         "aFeO"          => out[k].aFeO,
                         "density[kg/m3]"    => out[k].rho,
                         "volume[cm3/mol]"   => out[k].V,
-                        "heatCapacity[kJ/K]"=> out[k].cp,
+                        "heatCapacity[J/K]"=> out[k].s_cp,
                         "alpha[1/K]"    => out[k].alpha,
                         "Entropy[J/K]"  => out[k].entropy,
                         "Enthalpy[J]"   => out[k].enthalpy,
diff --git a/src/MAGEMin.c b/src/MAGEMin.c
index 1918931..73439b6 100644
--- a/src/MAGEMin.c
+++ b/src/MAGEMin.c
@@ -154,6 +154,7 @@ int runMAGEMin(			int    argc,
 	/* 
 	  get bulk rock composition parsed from args 
 	*/
+
 	if 		(gv.EM_database == 0){
 		gv = get_bulk_metapelite( 	gv );
 	}
@@ -166,6 +167,9 @@ int runMAGEMin(			int    argc,
 	else if (gv.EM_database == 4){
 		gv = get_bulk_ultramafic( 	gv );
 	}
+	else if (gv.EM_database == 5){
+		gv = get_bulk_ultramafic_ext( 	gv );
+	}
 	else{
 		printf(" Wrong database...\n");
 	}
@@ -859,6 +863,9 @@ global_variable ReadCommandLineOptions(	global_variable 	 gv,
 	else if (strcmp(gv.db, "um") 	== 0){
 		gv.EM_database = 4;
 	}
+	else if (strcmp(gv.db, "ume") 	== 0){
+		gv.EM_database = 5;
+	}
 	else {
 		printf(" No or wrong database acronym has been provided, using default (Igneous [ig])\n");
 		gv.EM_database = 2;
@@ -882,12 +889,12 @@ Databases InitializeDatabases(	global_variable gv,
 	/** 
 		Allocate memory for each solution phase according to their specificities (n_em, sf etc) 
 	*/
+
 	SS_init_type 				SS_init[gv.len_ss];
 
 	TC_SS_init(	        	    SS_init,
 								gv				);
 
-
 	DB.SS_ref_db = malloc ((gv.len_ss) 		* sizeof(SS_ref)); 
 	for (int iss = 0; iss < gv.len_ss; iss++){
 
@@ -976,11 +983,13 @@ void FreeDatabases(		global_variable gv,
 	for ( i = 0; i < n_ox; i++){
 		if  (DB.sp[0].PP[i].Comp			!=NULL)  free( DB.sp[0].PP[i].Comp 			);	
 		if  (DB.sp[0].PP[i].Comp_wt			!=NULL)  free( DB.sp[0].PP[i].Comp_wt 		);	
+		if  (DB.sp[0].PP[i].Comp_apfu		!=NULL)  free( DB.sp[0].PP[i].Comp_apfu		);	
 	}
 
 	for ( i = 0; i < n_ox; i++){
 		if  (DB.sp[0].SS[i].Comp			!=NULL)  free( DB.sp[0].SS[i].Comp 			);	
 		if  (DB.sp[0].SS[i].Comp_wt			!=NULL)  free( DB.sp[0].SS[i].Comp_wt 		);	
+		if  (DB.sp[0].SS[i].Comp_apfu		!=NULL)  free( DB.sp[0].SS[i].Comp_apfu		);	
 		if  (DB.sp[0].SS[i].compVariables	!=NULL)  free( DB.sp[0].SS[i].compVariables );	
 		if  (DB.sp[0].SS[i].siteFractions	!=NULL)  free( DB.sp[0].SS[i].siteFractions );	
 		if  (DB.sp[0].SS[i].emFrac			!=NULL)  free( DB.sp[0].SS[i].emFrac 		);	
@@ -991,13 +1000,15 @@ void FreeDatabases(		global_variable gv,
 			if  (DB.sp[0].SS[i].siteFractionsNames[j]	!=NULL)  free( DB.sp[0].SS[i].siteFractionsNames[j] 	);	
 			if  (DB.sp[0].SS[i].emNames[j]				!=NULL)  free( DB.sp[0].SS[i].emNames[j] 				);	
 			if  (DB.sp[0].SS[i].emComp[j]				!=NULL)  free( DB.sp[0].SS[i].emComp[j] 				);	
-			if  (DB.sp[0].SS[i].emComp_wt[j]			!=NULL)  free( DB.sp[0].SS[i].emComp_wt[j] 				);	
+			if  (DB.sp[0].SS[i].emComp_wt[j]			!=NULL)  free( DB.sp[0].SS[i].emComp_wt[j] 				);
+			if  (DB.sp[0].SS[i].emComp_apfu[j]			!=NULL)  free( DB.sp[0].SS[i].emComp_apfu[j] 			);	
 		}
 		if  (DB.sp[0].SS[i].compVariablesNames	!=NULL)  free( DB.sp[0].SS[i].compVariablesNames );	
 		if  (DB.sp[0].SS[i].siteFractionsNames	!=NULL)  free( DB.sp[0].SS[i].siteFractionsNames );	
 		if  (DB.sp[0].SS[i].emNames				!=NULL)  free( DB.sp[0].SS[i].emNames 			);	
 		if  (DB.sp[0].SS[i].emComp				!=NULL)  free( DB.sp[0].SS[i].emComp 			);	
 		if  (DB.sp[0].SS[i].emComp_wt			!=NULL)  free( DB.sp[0].SS[i].emComp_wt 		);	
+		if  (DB.sp[0].SS[i].emComp_apfu			!=NULL)  free( DB.sp[0].SS[i].emComp_apfu		);	
 	}
 
 	/* free metastable assemblage */
diff --git a/src/MAGEMin.h b/src/MAGEMin.h
index e86946a..9e9821c 100644
--- a/src/MAGEMin.h
+++ b/src/MAGEMin.h
@@ -127,6 +127,7 @@ typedef struct global_variables {
 	int      numPoint; 			/** the number of the current point */
 	int      global_ite;		/** global iteration increment */
 	int 	 H2O_id;
+	int 	 S_id;
 	int 	 Al2O3_id;
 	int 	 K2O_id;
 	int 	 O_id;
@@ -607,7 +608,10 @@ typedef struct stb_SS_phases {
 
 	double  *Comp_wt;
 	double **emComp_wt;
-	
+
+	double  *Comp_apfu;
+	double **emComp_apfu;
+		
 	//double  *siteFrac;
 	
 } stb_SS_phase;
@@ -657,6 +661,8 @@ typedef struct stb_PP_phases {
 	double  *Comp;
 	double  *Comp_wt;
 
+	double  *Comp_apfu;
+		
 } stb_PP_phase;
 
 /* structure to store informations of stable phase equilibria */
@@ -746,6 +752,7 @@ global_variable global_variable_init( 	global_variable  	 gv,
 global_variable get_bulk_igneous(			global_variable  gv				);
 global_variable get_bulk_metapelite(		global_variable  gv				);
 global_variable get_bulk_ultramafic(		global_variable  gv				);
+global_variable get_bulk_ultramafic_ext(	global_variable  gv				);
 
 /** Stores databases **/
 typedef struct Database {	PP_ref     		 *PP_ref_db;		/** Pure phases 											*/
diff --git a/src/SB_database/SB_init_database.c b/src/SB_database/SB_init_database.c
index 6c99c5a..609321a 100644
--- a/src/SB_database/SB_init_database.c
+++ b/src/SB_database/SB_init_database.c
@@ -223,6 +223,9 @@ global_variable global_variable_SV_init( 	global_variable  	 gv,
 				else if (strcmp( gv.ox[i], "O") 	== 0){
 					gv.O_id = i;
 				}
+				else if (strcmp( gv.ox[i], "S") 	== 0){
+					gv.S_id = i;
+				}
 				else if (strcmp( gv.ox[i], "Cr2O3") == 0){
 					gv.Cr2O3_id = i;
 				}
diff --git a/src/SB_database/SB_init_database.h b/src/SB_database/SB_init_database.h
index abe4b99..ffaab55 100644
--- a/src/SB_database/SB_init_database.h
+++ b/src/SB_database/SB_init_database.h
@@ -22,6 +22,7 @@
 		double  oxMass[15];
 		double  atPerOx[15];
 		double  ElEntropy[15]; //standard molar entropy
+		double  OPerOx[15];
 
 	} oxide_data;
 
diff --git a/src/TC_database/NLopt_opt_function.c b/src/TC_database/NLopt_opt_function.c
index fb2b160..7fb6a77 100644
--- a/src/TC_database/NLopt_opt_function.c
+++ b/src/TC_database/NLopt_opt_function.c
@@ -737,19 +737,19 @@ void k4tr_mb_c(unsigned m, double *result, unsigned n, const double *x, double *
     Inequality constraints for spn
 */
 void spn_mb_c(unsigned m, double *result, unsigned n, const double *x, double *grad, void *data){
-    result[0] = (-1.0*x[1]);
+    result[0] = (-x[1]);
     result[1] = (x[1] - 1.0);
     result[2] = (x[0] - 1.0);
-    result[3] = (-1.0*x[0]);
+    result[3] = (-x[0]);
 
     if (grad) {
         grad[0] = 0.0;
-        grad[1] = -1.00000000000000;
+        grad[1] = -1.0;
         grad[2] = 0.0;
-        grad[3] = 1.00000000000000;
-        grad[4] = 1.00000000000000;
+        grad[3] = 1.0;
+        grad[4] = 1.0;
         grad[5] = 0.0;
-        grad[6] = -1.00000000000000;
+        grad[6] = -1.0;
         grad[7] = 0.0;
     }
 
@@ -4373,6 +4373,270 @@ void po_um_c(unsigned m, double *result, unsigned n, const double *x, double *gr
     return;
 };
 
+/**
+    Inequality constraints for pl4tr
+*/
+void pl4tr_ume_c(unsigned m, double *result, unsigned n, const double *x, double *grad, void *data){
+    result[0] = (x[0] - 1.0);
+    result[1] = (-x[0]);
+    result[2] = (-0.25*x[0] - 0.25);
+    result[3] = (0.25*x[0] - 0.75);
+
+    if (grad) {
+        grad[0] = 1.0;
+        grad[1] = -1.0;
+        grad[2] = -0.25;
+        grad[3] = 0.25;
+    }
+
+    return;
+};
+
+/**
+    Inequality constraints for hb
+*/
+void hb_ume_c(unsigned m, double *result, unsigned n, const double *x, double *grad, void *data){
+    result[0] = (x[3] - 1.0);
+    result[1] = (-x[3]);
+    result[2] = (x[0] -x[6] - 1.0);
+    result[3] = (-x[0] + x[6]);
+    result[4] = (-x[0]*x[1] -x[0]*x[5] + x[0] + x[1]*x[7] + x[1] + x[5]*x[7] + x[5] -x[7] - 1.0);
+    result[5] = (x[0]*x[1] + x[0]*x[5] -x[0] -x[1]*x[7] -x[5]*x[7] + x[7]);
+    result[6] = (-x[1]);
+    result[7] = (-x[5]);
+    result[8] = (-x[4]);
+    result[9] = (-x[0]*x[2] -x[0]*x[4] + x[0] -x[1]*x[7] + x[2] + x[4] -x[5]*x[7] + 1.5*x[6] + x[7] - 1.0);
+    result[10] = (x[0]*x[2] + x[0]*x[4] -x[0] + x[1]*x[7] + x[5]*x[7] - 1.5*x[6] -x[7]);
+    result[11] = (-x[2]);
+    result[12] = (0.5*x[1] - 0.5*x[2] + 0.25*x[3] + 0.5*x[5] - 1.0);
+    result[13] = (-0.5*x[1] + 0.5*x[2] - 0.25*x[3] - 0.5*x[5]);
+
+    if (grad) {
+        grad[0] = 0.0;
+        grad[1] = 0.0;
+        grad[2] = 0.0;
+        grad[3] = 1.0;
+        grad[4] = 0.0;
+        grad[5] = 0.0;
+        grad[6] = 0.0;
+        grad[7] = 0.0;
+        grad[8] = 0.0;
+        grad[9] = 0.0;
+        grad[10] = 0.0;
+        grad[11] = -1.0;
+        grad[12] = 0.0;
+        grad[13] = 0.0;
+        grad[14] = 0.0;
+        grad[15] = 0.0;
+        grad[16] = 1.0;
+        grad[17] = 0.0;
+        grad[18] = 0.0;
+        grad[19] = 0.0;
+        grad[20] = 0.0;
+        grad[21] = 0.0;
+        grad[22] = -1.0;
+        grad[23] = 0.0;
+        grad[24] = -1.0;
+        grad[25] = 0.0;
+        grad[26] = 0.0;
+        grad[27] = 0.0;
+        grad[28] = 0.0;
+        grad[29] = 0.0;
+        grad[30] = 1.0;
+        grad[31] = 0.0;
+        grad[32] = -x[1] -x[5] + 1.0;
+        grad[33] = -x[0] + x[7] + 1.0;
+        grad[34] = 0.0;
+        grad[35] = 0.0;
+        grad[36] = 0.0;
+        grad[37] = -x[0] + x[7] + 1.0;
+        grad[38] = 0.0;
+        grad[39] = x[1] + x[5] - 1.0;
+        grad[40] = x[1] + x[5] - 1.0;
+        grad[41] = x[0] -x[7];
+        grad[42] = 0.0;
+        grad[43] = 0.0;
+        grad[44] = 0.0;
+        grad[45] = x[0] -x[7];
+        grad[46] = 0.0;
+        grad[47] = -x[1] -x[5] + 1.0;
+        grad[48] = 0.0;
+        grad[49] = -1.0;
+        grad[50] = 0.0;
+        grad[51] = 0.0;
+        grad[52] = 0.0;
+        grad[53] = 0.0;
+        grad[54] = 0.0;
+        grad[55] = 0.0;
+        grad[56] = 0.0;
+        grad[57] = 0.0;
+        grad[58] = 0.0;
+        grad[59] = 0.0;
+        grad[60] = 0.0;
+        grad[61] = -1.0;
+        grad[62] = 0.0;
+        grad[63] = 0.0;
+        grad[64] = 0.0;
+        grad[65] = 0.0;
+        grad[66] = 0.0;
+        grad[67] = 0.0;
+        grad[68] = -1.0;
+        grad[69] = 0.0;
+        grad[70] = 0.0;
+        grad[71] = 0.0;
+        grad[72] = -x[2] -x[4] + 1.0;
+        grad[73] = -x[7];
+        grad[74] = 1.0 -x[0];
+        grad[75] = 0.0;
+        grad[76] = 1.0 -x[0];
+        grad[77] = -x[7];
+        grad[78] = 1.5;
+        grad[79] = -x[1] -x[5] + 1.0;
+        grad[80] = x[2] + x[4] - 1.0;
+        grad[81] = x[7];
+        grad[82] = x[0];
+        grad[83] = 0.0;
+        grad[84] = x[0];
+        grad[85] = x[7];
+        grad[86] = -1.5;
+        grad[87] = x[1] + x[5] - 1.0;
+        grad[88] = 0.0;
+        grad[89] = 0.0;
+        grad[90] = -1.0;
+        grad[91] = 0.0;
+        grad[92] = 0.0;
+        grad[93] = 0.0;
+        grad[94] = 0.0;
+        grad[95] = 0.0;
+        grad[96] = 0.0;
+        grad[97] = 0.50;
+        grad[98] = -0.50;
+        grad[99] = 0.25;
+        grad[100] = 0.0;
+        grad[101] = 0.50;
+        grad[102] = 0.0;
+        grad[103] = 0.0;
+        grad[104] = 0.0;
+        grad[105] = -0.50;
+        grad[106] = 0.50;
+        grad[107] = -0.25;
+        grad[108] = 0.0;
+        grad[109] = -0.50;
+        grad[110] = 0.0;
+        grad[111] = 0.0;
+    }
+
+    return;
+};
+
+/**
+    Inequality constraints for aug
+*/
+void aug_ume_c(unsigned m, double *result, unsigned n, const double *x, double *grad, void *data){
+    result[0] = (-x[0]*x[1] -x[0]*x[4] + x[0] + x[1] + 0.5*x[3]*x[5] + 0.5*x[4]*x[5] + x[4] - 0.5*x[5] - 1.0);
+    result[1] = (x[0]*x[1] + x[0]*x[4] -x[0] - 0.5*x[3]*x[5] - 0.5*x[4]*x[5] + 0.5*x[5]);
+    result[2] = (-x[1] + x[2] -x[4]);
+    result[3] = (-x[2]);
+    result[4] = (-x[0]*x[3] -x[0]*x[4] + x[0] - 0.5*x[3]*x[5] + x[3] - 0.5*x[4]*x[5] + x[4] + 0.5*x[5] - 1.0);
+    result[5] = (x[0]*x[3] + x[0]*x[4] -x[0] + 0.5*x[3]*x[5] + 0.5*x[4]*x[5] - 0.5*x[5]);
+    result[6] = (-x[3]);
+    result[7] = (-x[4]);
+    result[8] = (0.5*x[1] - 0.5*x[6] - 1.0);
+    result[9] = (-0.5*x[1] + 0.5*x[6]);
+    result[10] = (0.5*x[1] + 0.5*x[6] - 1.0);
+    result[11] = (-0.5*x[1] - 0.5*x[6]);
+
+    if (grad) {
+        grad[0] = -x[1] -x[4] + 1.0;
+        grad[1] = 1.0 -x[0];
+        grad[2] = 0.0;
+        grad[3] = 0.5*x[5];
+        grad[4] = -x[0] + 0.5*x[5] + 1.0;
+        grad[5] = 0.5*x[3] + 0.5*x[4] - 0.5;
+        grad[6] = 0.0;
+        grad[7] = x[1] + x[4] - 1.0;
+        grad[8] = x[0];
+        grad[9] = 0.0;
+        grad[10] = -0.5*x[5];
+        grad[11] = x[0] - 0.5*x[5];
+        grad[12] = -0.5*x[3] - 0.5*x[4] + 0.5;
+        grad[13] = 0.0;
+        grad[14] = 0.0;
+        grad[15] = -1.0;
+        grad[16] = 1.0;
+        grad[17] = 0.0;
+        grad[18] = -1.0;
+        grad[19] = 0.0;
+        grad[20] = 0.0;
+        grad[21] = 0.0;
+        grad[22] = 0.0;
+        grad[23] = -1.0;
+        grad[24] = 0.0;
+        grad[25] = 0.0;
+        grad[26] = 0.0;
+        grad[27] = 0.0;
+        grad[28] = -x[3] -x[4] + 1.0;
+        grad[29] = 0.0;
+        grad[30] = 0.0;
+        grad[31] = -x[0] - 0.5*x[5] + 1.0;
+        grad[32] = -x[0] - 0.5*x[5] + 1.0;
+        grad[33] = -0.5*x[3] - 0.5*x[4] + 0.5;
+        grad[34] = 0.0;
+        grad[35] = x[3] + x[4] - 1.0;
+        grad[36] = 0.0;
+        grad[37] = 0.0;
+        grad[38] = x[0] + 0.5*x[5];
+        grad[39] = x[0] + 0.5*x[5];
+        grad[40] = 0.5*x[3] + 0.5*x[4] - 0.5;
+        grad[41] = 0.0;
+        grad[42] = 0.0;
+        grad[43] = 0.0;
+        grad[44] = 0.0;
+        grad[45] = -1.0;
+        grad[46] = 0.0;
+        grad[47] = 0.0;
+        grad[48] = 0.0;
+        grad[49] = 0.0;
+        grad[50] = 0.0;
+        grad[51] = 0.0;
+        grad[52] = 0.0;
+        grad[53] = -1.0;
+        grad[54] = 0.0;
+        grad[55] = 0.0;
+        grad[56] = 0.0;
+        grad[57] = 0.50;
+        grad[58] = 0.0;
+        grad[59] = 0.0;
+        grad[60] = 0.0;
+        grad[61] = 0.0;
+        grad[62] = -0.50;
+        grad[63] = 0.0;
+        grad[64] = -0.50;
+        grad[65] = 0.0;
+        grad[66] = 0.0;
+        grad[67] = 0.0;
+        grad[68] = 0.0;
+        grad[69] = 0.50;
+        grad[70] = 0.0;
+        grad[71] = 0.50;
+        grad[72] = 0.0;
+        grad[73] = 0.0;
+        grad[74] = 0.0;
+        grad[75] = 0.0;
+        grad[76] = 0.50;
+        grad[77] = 0.0;
+        grad[78] = -0.50;
+        grad[79] = 0.0;
+        grad[80] = 0.0;
+        grad[81] = 0.0;
+        grad[82] = 0.0;
+        grad[83] = -0.50;
+    }
+
+    return;
+};
+
+
 SS_ref NLopt_opt_mp_st_function(global_variable gv, SS_ref SS_ref_db){
     
     int    n_em     = SS_ref_db.n_em;
@@ -5943,6 +6207,111 @@ SS_ref NLopt_opt_um_po_function(global_variable gv, SS_ref SS_ref_db){
     
     return SS_ref_db;
 };
+SS_ref NLopt_opt_ume_pl4tr_function(global_variable gv, SS_ref SS_ref_db){
+    
+    int    n_em     = SS_ref_db.n_em;
+    unsigned int n  = SS_ref_db.n_xeos;
+    unsigned int m  = SS_ref_db.n_sf;
+    
+    double *x  = SS_ref_db.iguess; 
+    
+    for (int i = 0; i < (SS_ref_db.n_xeos); i++){
+       SS_ref_db.lb[i] = SS_ref_db.bounds[i][0];
+       SS_ref_db.ub[i] = SS_ref_db.bounds[i][1];
+    }
+    
+    SS_ref_db.opt = nlopt_create(NLOPT_LD_SLSQP, (n)); 
+    nlopt_set_lower_bounds(SS_ref_db.opt, SS_ref_db.lb);
+    nlopt_set_upper_bounds(SS_ref_db.opt, SS_ref_db.ub);
+    nlopt_set_min_objective(SS_ref_db.opt, obj_ume_pl4tr, &SS_ref_db);
+    nlopt_add_inequality_mconstraint(SS_ref_db.opt, m, pl4tr_ume_c, NULL, NULL);
+    nlopt_set_ftol_rel(SS_ref_db.opt, gv.obj_tol);
+    nlopt_set_maxeval(SS_ref_db.opt, gv.maxeval);
+     nlopt_set_maxtime(SS_ref_db.opt, gv.maxgmTime);
+
+    double minf;
+    SS_ref_db.status = nlopt_optimize(SS_ref_db.opt, x, &minf);
+
+    /* Send back needed local solution parameters */
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+       SS_ref_db.xeos[i] = x[i];
+    }
+    
+    SS_ref_db.df   = minf;
+    nlopt_destroy(SS_ref_db.opt);
+    
+    return SS_ref_db;
+};
+SS_ref NLopt_opt_ume_hb_function(global_variable gv, SS_ref SS_ref_db){
+    
+    int    n_em     = SS_ref_db.n_em;
+    unsigned int n  = SS_ref_db.n_xeos;
+    unsigned int m  = SS_ref_db.n_sf;
+    
+    double *x  = SS_ref_db.iguess; 
+    
+    for (int i = 0; i < (SS_ref_db.n_xeos); i++){
+       SS_ref_db.lb[i] = SS_ref_db.bounds[i][0];
+       SS_ref_db.ub[i] = SS_ref_db.bounds[i][1];
+    }
+    
+    SS_ref_db.opt = nlopt_create(NLOPT_LD_SLSQP, (n)); 
+    nlopt_set_lower_bounds(SS_ref_db.opt, SS_ref_db.lb);
+    nlopt_set_upper_bounds(SS_ref_db.opt, SS_ref_db.ub);
+    nlopt_set_min_objective(SS_ref_db.opt, obj_ume_hb, &SS_ref_db);
+    nlopt_add_inequality_mconstraint(SS_ref_db.opt, m, hb_ume_c, NULL, NULL);
+    nlopt_set_ftol_rel(SS_ref_db.opt, gv.obj_tol);
+    nlopt_set_maxeval(SS_ref_db.opt, gv.maxeval);
+    nlopt_set_maxtime(SS_ref_db.opt, gv.maxgmTime);
+
+    double minf;
+    SS_ref_db.status = nlopt_optimize(SS_ref_db.opt, x, &minf);
+
+    /* Send back needed local solution parameters */
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+       SS_ref_db.xeos[i] = x[i];
+    }
+    
+    SS_ref_db.df   = minf;
+    nlopt_destroy(SS_ref_db.opt);
+    
+    return SS_ref_db;
+};
+SS_ref NLopt_opt_ume_aug_function(global_variable gv, SS_ref SS_ref_db){
+    
+    int    n_em     = SS_ref_db.n_em;
+    unsigned int n  = SS_ref_db.n_xeos;
+    unsigned int m  = SS_ref_db.n_sf;
+    
+    double *x  = SS_ref_db.iguess; 
+    
+    for (int i = 0; i < (SS_ref_db.n_xeos); i++){
+       SS_ref_db.lb[i] = SS_ref_db.bounds[i][0];
+       SS_ref_db.ub[i] = SS_ref_db.bounds[i][1];
+    }
+    
+    SS_ref_db.opt = nlopt_create(NLOPT_LD_SLSQP, (n)); 
+    nlopt_set_lower_bounds(SS_ref_db.opt, SS_ref_db.lb);
+    nlopt_set_upper_bounds(SS_ref_db.opt, SS_ref_db.ub);
+    nlopt_set_min_objective(SS_ref_db.opt, obj_ume_aug, &SS_ref_db);
+    nlopt_add_inequality_mconstraint(SS_ref_db.opt, m, aug_ume_c, NULL, NULL);
+    nlopt_set_ftol_rel(SS_ref_db.opt, gv.obj_tol);
+    nlopt_set_maxeval(SS_ref_db.opt, gv.maxeval);
+    nlopt_set_maxtime(SS_ref_db.opt, gv.maxgmTime);
+
+    double minf;
+    SS_ref_db.status = nlopt_optimize(SS_ref_db.opt, x, &minf);
+
+    /* Send back needed local solution parameters */
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+       SS_ref_db.xeos[i] = x[i];
+    }
+    
+    SS_ref_db.df   = minf;
+    nlopt_destroy(SS_ref_db.opt);
+    
+    return SS_ref_db;
+};
 
 /**
     Equality constraints aq17
@@ -6184,6 +6553,47 @@ void TC_um_NLopt_opt_init(	        NLopt_type 			*NLopt_opt,
 }
 
 
+void TC_um_ext_NLopt_opt_init(	    NLopt_type 			*NLopt_opt,
+									global_variable 	 gv				){	
+						 
+	for (int iss = 0; iss < gv.len_ss; iss++){
+
+		if      (strcmp( gv.SS_list[iss], "fl")  == 0 ){
+			NLopt_opt[iss]  = NLopt_opt_um_fluid_function; 		}
+		else if (strcmp( gv.SS_list[iss], "ol")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_ol_function; 		}
+		else if (strcmp( gv.SS_list[iss], "br") == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_br_function; 		}
+		else if (strcmp( gv.SS_list[iss], "ch")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_ch_function; 		}
+		else if (strcmp( gv.SS_list[iss], "atg")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_atg_function; 		}
+		else if (strcmp( gv.SS_list[iss], "g")   == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_g_function; 		    }
+		else if (strcmp( gv.SS_list[iss], "ta")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_ta_function; 		}
+		else if (strcmp( gv.SS_list[iss], "chl") == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_chl_function; 		}
+		else if (strcmp( gv.SS_list[iss], "anth") == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_anth_function; 		}
+		else if (strcmp( gv.SS_list[iss], "spi")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_spi_function; 		}
+		else if (strcmp( gv.SS_list[iss], "opx") == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_opx_function; 		}
+		else if (strcmp( gv.SS_list[iss], "po") == 0){
+			NLopt_opt[iss]  = NLopt_opt_um_po_function; 		}
+		else if (strcmp( gv.SS_list[iss], "pl4tr")  == 0){
+			NLopt_opt[iss]  = NLopt_opt_ume_pl4tr_function; 	}
+		else if (strcmp( gv.SS_list[iss], "hb") == 0){
+			NLopt_opt[iss]  = NLopt_opt_ume_hb_function; 		}
+		else if (strcmp( gv.SS_list[iss], "aug") == 0){
+			NLopt_opt[iss]  = NLopt_opt_ume_aug_function; 		}
+		else{
+			printf("\nsolid solution '%s' is not in the database, cannot be initiated\n", gv.SS_list[iss]);	
+		}	
+	};						
+}
+
 void TC_NLopt_opt_init(	        	NLopt_type 			*NLopt_opt,
 									global_variable 	 gv				){
 
@@ -6204,5 +6614,8 @@ void TC_NLopt_opt_init(	        	NLopt_type 			*NLopt_opt,
 		TC_um_NLopt_opt_init(	 				NLopt_opt,
 												gv							);
 	}
-
+	else if (gv.EM_database == 5){			// ultramafic database //
+		TC_um_ext_NLopt_opt_init(	 			NLopt_opt,
+												gv							);
+	}
 }
\ No newline at end of file
diff --git a/src/TC_database/NLopt_opt_function.h b/src/TC_database/NLopt_opt_function.h
index 81e65d2..c999455 100644
--- a/src/TC_database/NLopt_opt_function.h
+++ b/src/TC_database/NLopt_opt_function.h
@@ -38,7 +38,8 @@ void TC_ig_NLopt_opt_init(	        NLopt_type 			*NLopt_opt,
 									global_variable 	 gv				);
 void TC_um_NLopt_opt_init(	        NLopt_type 			*NLopt_opt,
 									global_variable 	 gv				);
-
+void TC_um_ext_NLopt_opt_init(	    NLopt_type 			*NLopt_opt,
+									global_variable 	 gv				);
 void TC_NLopt_opt_init(	        	NLopt_type 			*NLopt_opt,
 									global_variable 	 gv				);
 
diff --git a/src/TC_database/SS_xeos_PC_mp.c b/src/TC_database/SS_xeos_PC_mp.c
index 19ab745..2595158 100644
--- a/src/TC_database/SS_xeos_PC_mp.c
+++ b/src/TC_database/SS_xeos_PC_mp.c
@@ -6273,2457 +6273,3158 @@ struct ss_pc mp_ilmm_pc_xeos[1430] = {
 {{0.990000,0.891000,0.000000,0.089000}}};
 
 
-struct ss_pc mp_liq_pc_xeos[2450] = {
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.000100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.000100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.000100,0.996100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.249100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.249100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.249100,0.996100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.498100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.498100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.498100,0.996100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.747100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.747100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.747100,0.996100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.996100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.996100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.000100,0.996100,0.996100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.000100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.000100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.249100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.249100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.498100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.498100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.747100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.747100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.996100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.249100,0.996100,0.747100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.000100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.249100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.498100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.747100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.498100,0.996100,0.498100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.747100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.000100,0.996100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.996100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.996100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.996100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.000100,0.996100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.000100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.000100,0.747100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.249100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.249100,0.747100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.498100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.498100,0.747100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.747100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.747100,0.747100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.996100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.000100,0.996100,0.747100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.000100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.249100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.498100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.747100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.249100,0.996100,0.498100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.000100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.249100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.498100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.747100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.747100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.996100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.498100,0.996100,0.249100}},
-{{0.000100,0.000100,0.249100,0.249100,0.747100,0.000100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.747100,0.249100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.747100,0.498100,0.000100}},
-{{0.000100,0.000100,0.249100,0.249100,0.747100,0.747100,0.000100}},
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-{{0.747100,0.000100,0.249100,0.249100,0.000100,0.996100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.000100,0.249100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.249100,0.249100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.498100,0.249100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.747100,0.249100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.000100,0.996100,0.249100}},
-{{0.747100,0.000100,0.498100,0.000100,0.249100,0.000100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.249100,0.249100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.249100,0.498100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.249100,0.747100,0.000100}},
-{{0.747100,0.000100,0.498100,0.000100,0.249100,0.996100,0.000100}},
-{{0.747100,0.000100,0.498100,0.249100,0.000100,0.000100,0.000100}},
-{{0.747100,0.000100,0.498100,0.249100,0.000100,0.249100,0.000100}},
-{{0.747100,0.000100,0.498100,0.249100,0.000100,0.498100,0.000100}},
-{{0.747100,0.000100,0.498100,0.249100,0.000100,0.747100,0.000100}},
-{{0.747100,0.000100,0.498100,0.249100,0.000100,0.996100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.000100,0.249100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.249100,0.249100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.498100,0.249100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.747100,0.249100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.000100,0.996100,0.249100}},
-{{0.747100,0.000100,0.747100,0.000100,0.249100,0.000100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.249100,0.249100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.249100,0.498100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.249100,0.747100,0.000100}},
-{{0.747100,0.000100,0.747100,0.000100,0.249100,0.996100,0.000100}},
-{{0.747100,0.000100,0.747100,0.249100,0.000100,0.000100,0.000100}},
-{{0.747100,0.000100,0.747100,0.249100,0.000100,0.249100,0.000100}},
-{{0.747100,0.000100,0.747100,0.249100,0.000100,0.498100,0.000100}},
-{{0.747100,0.000100,0.747100,0.249100,0.000100,0.747100,0.000100}},
-{{0.747100,0.000100,0.747100,0.249100,0.000100,0.996100,0.000100}},
-{{0.747100,0.249100,0.000100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.249100,0.000100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.249100,0.000100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.249100,0.000100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.249100,0.000100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.249100,0.249100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.249100,0.249100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.249100,0.249100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.249100,0.249100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.249100,0.249100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.249100,0.498100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.249100,0.498100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.249100,0.498100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.249100,0.498100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.249100,0.498100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.249100,0.747100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.249100,0.747100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.249100,0.747100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.249100,0.747100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.249100,0.747100,0.000100,0.000100,0.996100,0.000100}},
-{{0.747100,0.249100,0.996100,0.000100,0.000100,0.000100,0.000100}},
-{{0.747100,0.249100,0.996100,0.000100,0.000100,0.249100,0.000100}},
-{{0.747100,0.249100,0.996100,0.000100,0.000100,0.498100,0.000100}},
-{{0.747100,0.249100,0.996100,0.000100,0.000100,0.747100,0.000100}},
-{{0.747100,0.249100,0.996100,0.000100,0.000100,0.996100,0.000100}},
-{{0.996100,0.000100,0.249100,0.000100,0.000100,0.000100,0.000100}},
-{{0.996100,0.000100,0.249100,0.000100,0.000100,0.249100,0.000100}},
-{{0.996100,0.000100,0.249100,0.000100,0.000100,0.498100,0.000100}},
-{{0.996100,0.000100,0.249100,0.000100,0.000100,0.747100,0.000100}},
-{{0.996100,0.000100,0.249100,0.000100,0.000100,0.996100,0.000100}},
-{{0.996100,0.000100,0.498100,0.000100,0.000100,0.000100,0.000100}},
-{{0.996100,0.000100,0.498100,0.000100,0.000100,0.249100,0.000100}},
-{{0.996100,0.000100,0.498100,0.000100,0.000100,0.498100,0.000100}},
-{{0.996100,0.000100,0.498100,0.000100,0.000100,0.747100,0.000100}},
-{{0.996100,0.000100,0.498100,0.000100,0.000100,0.996100,0.000100}},
-{{0.996100,0.000100,0.747100,0.000100,0.000100,0.000100,0.000100}},
-{{0.996100,0.000100,0.747100,0.000100,0.000100,0.249100,0.000100}},
-{{0.996100,0.000100,0.747100,0.000100,0.000100,0.498100,0.000100}},
-{{0.996100,0.000100,0.747100,0.000100,0.000100,0.747100,0.000100}},
-{{0.996100,0.000100,0.747100,0.000100,0.000100,0.996100,0.000100}}};
+struct ss_pc mp_liq_pc_xeos[3150] = {
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.960100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.240100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.240100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.240100,0.960100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.480100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.480100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.480100,0.960100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.720100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.720100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.720100,0.960100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.960100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.960100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.000100,0.960100,0.960100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.000100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.000100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.240100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.240100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.480100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.480100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.720100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.720100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.960100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.240100,0.960100,0.720100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.000100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.240100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.480100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.720100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.480100,0.960100,0.480100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.720100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.000100,0.960100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.960100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.960100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.960100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.000100,0.960100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.000100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.000100,0.720100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.240100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.240100,0.720100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.480100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.480100,0.720100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.720100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.720100,0.720100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.960100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.000100,0.960100,0.720100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.000100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.240100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.480100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.720100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.960100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.240100,0.960100,0.480100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.000100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.000100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.240100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.240100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.480100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.480100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.720100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.720100,0.240100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.960100,0.000100}},
+{{0.000100,0.000100,0.000100,0.240100,0.480100,0.960100,0.240100}},
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+{{0.480100,0.480100,0.480100,0.000100,0.000100,0.240100,0.000100}},
+{{0.480100,0.480100,0.480100,0.000100,0.000100,0.480100,0.000100}},
+{{0.480100,0.480100,0.480100,0.000100,0.000100,0.720100,0.000100}},
+{{0.480100,0.480100,0.480100,0.000100,0.000100,0.960100,0.000100}},
+{{0.480100,0.480100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.480100,0.480100,0.720100,0.000100,0.000100,0.240100,0.000100}},
+{{0.480100,0.480100,0.720100,0.000100,0.000100,0.480100,0.000100}},
+{{0.480100,0.480100,0.720100,0.000100,0.000100,0.720100,0.000100}},
+{{0.480100,0.480100,0.720100,0.000100,0.000100,0.960100,0.000100}},
+{{0.480100,0.480100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.480100,0.480100,0.960100,0.000100,0.000100,0.240100,0.000100}},
+{{0.480100,0.480100,0.960100,0.000100,0.000100,0.480100,0.000100}},
+{{0.480100,0.480100,0.960100,0.000100,0.000100,0.720100,0.000100}},
+{{0.480100,0.480100,0.960100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.000100,0.240100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.240100,0.240100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.480100,0.240100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.720100,0.240100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.000100,0.960100,0.240100}},
+{{0.720100,0.000100,0.000100,0.000100,0.240100,0.000100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.240100,0.240100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.240100,0.480100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.240100,0.720100,0.000100}},
+{{0.720100,0.000100,0.000100,0.000100,0.240100,0.960100,0.000100}},
+{{0.720100,0.000100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.000100,0.240100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.000100,0.240100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.000100,0.240100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.000100,0.240100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.000100,0.240100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.240100,0.240100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.480100,0.240100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.720100,0.240100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.000100,0.960100,0.240100}},
+{{0.720100,0.000100,0.240100,0.000100,0.240100,0.000100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.240100,0.240100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.240100,0.480100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.240100,0.720100,0.000100}},
+{{0.720100,0.000100,0.240100,0.000100,0.240100,0.960100,0.000100}},
+{{0.720100,0.000100,0.240100,0.240100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.240100,0.240100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.240100,0.240100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.240100,0.240100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.240100,0.240100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.000100,0.240100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.240100,0.240100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.480100,0.240100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.720100,0.240100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.000100,0.960100,0.240100}},
+{{0.720100,0.000100,0.480100,0.000100,0.240100,0.000100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.240100,0.240100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.240100,0.480100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.240100,0.720100,0.000100}},
+{{0.720100,0.000100,0.480100,0.000100,0.240100,0.960100,0.000100}},
+{{0.720100,0.000100,0.480100,0.240100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.480100,0.240100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.480100,0.240100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.480100,0.240100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.480100,0.240100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.000100,0.240100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.240100,0.240100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.480100,0.240100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.720100,0.240100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.000100,0.960100,0.240100}},
+{{0.720100,0.000100,0.720100,0.000100,0.240100,0.000100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.240100,0.240100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.240100,0.480100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.240100,0.720100,0.000100}},
+{{0.720100,0.000100,0.720100,0.000100,0.240100,0.960100,0.000100}},
+{{0.720100,0.000100,0.720100,0.240100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.720100,0.240100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.720100,0.240100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.720100,0.240100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.720100,0.240100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.000100,0.240100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.240100,0.240100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.480100,0.240100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.720100,0.240100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.000100,0.960100,0.240100}},
+{{0.720100,0.000100,0.960100,0.000100,0.240100,0.000100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.240100,0.240100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.240100,0.480100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.240100,0.720100,0.000100}},
+{{0.720100,0.000100,0.960100,0.000100,0.240100,0.960100,0.000100}},
+{{0.720100,0.000100,0.960100,0.240100,0.000100,0.000100,0.000100}},
+{{0.720100,0.000100,0.960100,0.240100,0.000100,0.240100,0.000100}},
+{{0.720100,0.000100,0.960100,0.240100,0.000100,0.480100,0.000100}},
+{{0.720100,0.000100,0.960100,0.240100,0.000100,0.720100,0.000100}},
+{{0.720100,0.000100,0.960100,0.240100,0.000100,0.960100,0.000100}},
+{{0.720100,0.240100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.240100,0.000100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.240100,0.000100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.240100,0.000100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.240100,0.000100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.240100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.240100,0.240100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.240100,0.240100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.240100,0.240100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.240100,0.240100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.240100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.240100,0.480100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.240100,0.480100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.240100,0.480100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.240100,0.480100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.240100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.240100,0.720100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.240100,0.720100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.240100,0.720100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.240100,0.720100,0.000100,0.000100,0.960100,0.000100}},
+{{0.720100,0.240100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.720100,0.240100,0.960100,0.000100,0.000100,0.240100,0.000100}},
+{{0.720100,0.240100,0.960100,0.000100,0.000100,0.480100,0.000100}},
+{{0.720100,0.240100,0.960100,0.000100,0.000100,0.720100,0.000100}},
+{{0.720100,0.240100,0.960100,0.000100,0.000100,0.960100,0.000100}},
+{{0.960100,0.000100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.000100,0.000100,0.000100,0.000100,0.240100,0.000100}},
+{{0.960100,0.000100,0.000100,0.000100,0.000100,0.480100,0.000100}},
+{{0.960100,0.000100,0.000100,0.000100,0.000100,0.720100,0.000100}},
+{{0.960100,0.000100,0.000100,0.000100,0.000100,0.960100,0.000100}},
+{{0.960100,0.000100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.000100,0.240100,0.000100,0.000100,0.240100,0.000100}},
+{{0.960100,0.000100,0.240100,0.000100,0.000100,0.480100,0.000100}},
+{{0.960100,0.000100,0.240100,0.000100,0.000100,0.720100,0.000100}},
+{{0.960100,0.000100,0.240100,0.000100,0.000100,0.960100,0.000100}},
+{{0.960100,0.000100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.000100,0.480100,0.000100,0.000100,0.240100,0.000100}},
+{{0.960100,0.000100,0.480100,0.000100,0.000100,0.480100,0.000100}},
+{{0.960100,0.000100,0.480100,0.000100,0.000100,0.720100,0.000100}},
+{{0.960100,0.000100,0.480100,0.000100,0.000100,0.960100,0.000100}},
+{{0.960100,0.000100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.000100,0.720100,0.000100,0.000100,0.240100,0.000100}},
+{{0.960100,0.000100,0.720100,0.000100,0.000100,0.480100,0.000100}},
+{{0.960100,0.000100,0.720100,0.000100,0.000100,0.720100,0.000100}},
+{{0.960100,0.000100,0.720100,0.000100,0.000100,0.960100,0.000100}},
+{{0.960100,0.000100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.000100,0.960100,0.000100,0.000100,0.240100,0.000100}},
+{{0.960100,0.000100,0.960100,0.000100,0.000100,0.480100,0.000100}},
+{{0.960100,0.000100,0.960100,0.000100,0.000100,0.720100,0.000100}},
+{{0.960100,0.000100,0.960100,0.000100,0.000100,0.960100,0.000100}}};
+
 
 struct ss_pc mp_ma_pc_xeos[1875] = {
 {{0.000100,0.000100,0.000100,0.000100,0.000100}},
diff --git a/src/TC_database/SS_xeos_PC_um.c b/src/TC_database/SS_xeos_PC_um.c
index d7b8c49..1982a7d 100644
--- a/src/TC_database/SS_xeos_PC_um.c
+++ b/src/TC_database/SS_xeos_PC_um.c
@@ -40,8 +40,9 @@ struct ss_pc um_ol_pc_xeos[10] = {
 {{0.800100}},
 {{0.900100}}};
 
-struct ss_pc um_br_pc_xeos[10] = {
+struct ss_pc um_br_pc_xeos[11] = {
 {{0.000100}},
+{{0.007000}},
 {{0.100100}},
 {{0.200100}},
 {{0.300100}},
@@ -4835,6 +4836,6709 @@ struct ss_pc um_po_pc_xeos[10] = {
 {{0.800100}},
 {{0.900100}}};
 
+struct ss_pc ume_pl4tr_pc_xeos[21] = {
+{{0.000100}},
+{{0.049100}},
+{{0.098100}},
+{{0.147100}},
+{{0.196100}},
+{{0.245100}},
+{{0.294100}},
+{{0.343100}},
+{{0.392100}},
+{{0.441100}},
+{{0.490100}},
+{{0.539100}},
+{{0.588100}},
+{{0.637100}},
+{{0.686100}},
+{{0.735100}},
+{{0.784100}},
+{{0.833100}},
+{{0.882100}},
+{{0.931100}},
+{{0.980100}}};
+
+struct ss_pc ume_hb_pc_xeos[3640] = {
+{{0.240100,0.000100,0.000100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.000100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.240100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.480100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.480100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.720100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.720100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.960100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.000100,0.960100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.000100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.240100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.240100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.480100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.480100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.720100,0.000100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.720100,0.240100,0.000100,0.000100}},
+{{0.240100,0.000100,0.000100,0.240100,0.960100,0.000100,0.000100,0.000100}},
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+{{0.240100,0.000100,0.000100,0.480100,0.000100,0.000100,0.000100,0.000100}},
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+{{0.960100,0.960100,0.480100,0.720100,0.000100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.480100,0.720100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.480100,0.720100,0.240100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.480100,0.720100,0.480100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.480100,0.960100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.480100,0.960100,0.240100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.480100,0.960100,0.480100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.240100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.480100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.720100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.960100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.000100}}};
+
+struct ss_pc ume_aug_pc_xeos[3036] = {
+{{0.000100,0.240100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.000100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.000100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.240100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.240100,0.720100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.000100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.000100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.000100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.240100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.240100,0.720100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.240100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.000100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.000100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.240100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.240100,0.720100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.480100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.240100,0.720100,0.000100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.720100,0.240100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.720100,0.240100,0.720100,0.000100,0.000100}},
+{{0.000100,0.240100,0.720100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.240100,0.960100,0.240100,0.720100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.000100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.240100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.240100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.480100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.480100,0.480100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.000100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.000100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.000100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.240100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.240100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.480100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.480100,0.480100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.240100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.240100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.000100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.000100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.240100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.240100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.240100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.480100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.480100,0.480100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.480100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.480100,0.480100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.480100,0.720100,0.240100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.720100,0.240100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.720100,0.480100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.720100,0.480100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.720100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.480100,0.720100,0.480100,0.480100,0.000100,0.240100}},
+{{0.000100,0.480100,0.720100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.480100,0.720100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.480100,0.960100,0.480100,0.480100,0.000100,0.000100}},
+{{0.000100,0.480100,0.960100,0.480100,0.480100,0.000100,0.240100}},
+{{0.000100,0.720100,0.000100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.000100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.000100,0.480100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.000100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.000100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.000100,0.720100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.000100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.720100,0.000100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.720100,0.000100,0.720100,0.240100,0.000100,0.480100}},
+{{0.000100,0.720100,0.000100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.000100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.000100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.240100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.240100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.240100,0.480100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.240100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.240100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.240100,0.720100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.240100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.720100,0.240100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.720100,0.240100,0.720100,0.240100,0.000100,0.480100}},
+{{0.000100,0.720100,0.240100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.240100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.240100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.480100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.480100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.480100,0.480100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.480100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.480100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.480100,0.720100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.480100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.720100,0.480100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.720100,0.480100,0.720100,0.240100,0.000100,0.480100}},
+{{0.000100,0.720100,0.480100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.480100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.480100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.720100,0.480100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.720100,0.480100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.720100,0.480100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.720100,0.720100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.720100,0.720100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.720100,0.720100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.720100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.720100,0.720100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.720100,0.720100,0.720100,0.240100,0.000100,0.480100}},
+{{0.000100,0.720100,0.720100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.720100,0.720100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.720100,0.720100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.720100,0.960100,0.720100,0.240100,0.000100,0.000100}},
+{{0.000100,0.720100,0.960100,0.720100,0.240100,0.000100,0.240100}},
+{{0.000100,0.720100,0.960100,0.720100,0.240100,0.000100,0.480100}},
+{{0.000100,0.960100,0.000100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.960100,0.000100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.960100,0.000100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.960100,0.000100,0.960100,0.000100,0.000100,0.720100}},
+{{0.000100,0.960100,0.240100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.960100,0.240100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.960100,0.240100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.960100,0.240100,0.960100,0.000100,0.000100,0.720100}},
+{{0.000100,0.960100,0.480100,0.960100,0.000100,0.000100,0.000100}},
+{{0.000100,0.960100,0.480100,0.960100,0.000100,0.000100,0.240100}},
+{{0.000100,0.960100,0.480100,0.960100,0.000100,0.000100,0.480100}},
+{{0.000100,0.960100,0.480100,0.960100,0.000100,0.000100,0.720100}},
+{{0.000100,0.960100,0.720100,0.960100,0.000100,0.000100,0.000100}},
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+{{0.960100,0.960100,0.480100,0.720100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.480100,0.720100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.480100,0.720100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.480100,0.960100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.720100,0.000100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.720100,0.240100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.720100,0.480100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.720100,0.720100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.720100,0.960100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.960100,0.000100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.960100,0.240100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.240100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.960100,0.240100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.960100,0.240100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.960100,0.480100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.480100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.960100,0.480100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.960100,0.480100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.960100,0.720100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.720100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.960100,0.720100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.960100,0.720100,0.000100,0.000100,0.720100}},
+{{0.960100,0.960100,0.960100,0.960100,0.000100,0.000100,0.000100}},
+{{0.960100,0.960100,0.960100,0.960100,0.000100,0.000100,0.240100}},
+{{0.960100,0.960100,0.960100,0.960100,0.000100,0.000100,0.480100}},
+{{0.960100,0.960100,0.960100,0.960100,0.000100,0.000100,0.720100}}};
+
 
 void SS_um_pc_init_function(	PC_ref 	*SS_pc_xeos,
 							    int 	 iss,
@@ -4864,6 +11568,12 @@ void SS_um_pc_init_function(	PC_ref 	*SS_pc_xeos,
 		SS_pc_xeos[iss].ss_pc_xeos  = um_opx_pc_xeos; 		}
 	else if (strcmp( name, "po") == 0){
 		SS_pc_xeos[iss].ss_pc_xeos  = um_po_pc_xeos; 		}
+	else if (strcmp( name, "pl4tr") == 0){
+		SS_pc_xeos[iss].ss_pc_xeos  = ume_pl4tr_pc_xeos; 		}
+	else if (strcmp( name, "hb") == 0){
+		SS_pc_xeos[iss].ss_pc_xeos  = ume_hb_pc_xeos; 		}
+	else if (strcmp( name, "aug") == 0){
+		SS_pc_xeos[iss].ss_pc_xeos  = ume_aug_pc_xeos; 		}
 	else{
 		printf("\nsolid solution '%s' is not in the database, cannot be initiated\n", name);	
 	}	
diff --git a/src/TC_database/TC_init_database.c b/src/TC_database/TC_init_database.c
index cbf4b8f..af07e7a 100644
--- a/src/TC_database/TC_init_database.c
+++ b/src/TC_database/TC_init_database.c
@@ -27,6 +27,7 @@ oxide_data oxide_info = {
 	{60.08  ,101.96 ,56.08  ,40.30  ,71.85  ,94.2   ,61.98  ,79.88  ,16.0   ,70.94	,151.99 ,18.015	,44.01	, 32.06	,35.453		},
 	{3.0	,5.0	,2.0	,2.0	,2.0	,3.0	,3.0	,3.0	,1.0	,2.0 	,5.0	,3.0	,3.0	, 1.0	,1.0		},
 	{66.7736,108.653,42.9947,40.3262,38.7162,69.1514,61.1729,70.3246,30.5827,40.1891,106.9795,69.5449,62.8768,9.5557,33.2556	},
+	{2,3,1,1,1,1,1,2,1,1,3,1,2,0,0}
 	// for the standard molar entropy the values are already normalized by the reference temperature = 298.15K (25°C) and expressed in kJ
 };
 
@@ -41,8 +42,8 @@ metapelite_dataset metapelite_db = {
 	{"liq"	,"fsp"	,"bi"	,"g"	,"ep"	,"ma"	,"mu"	,"opx"	,"sa"	,"cd"	,"st"	,"chl"	,"ctd"	,"sp"  ,"ilmm"  ,"aq17"	},
 	
 	{1		,1		,1		,1		,1		,1		,1		,1		,1 		,1 		,1 		,1 		,1 		,1 		,1 		,1		},  // allow solvus?
-	{2450	,231 	,981	,756	,110 	,1875	,1875	,1277	,230	,343	,540	,2270	,216	,405 	,1430 	,1		},  // # of pseudocompound
-	{0.249	,0.049	,0.19	,0.19	,0.049	,0.19	,0.19	,0.249	,0.19	,0.145	,0.19	,0.249	,0.19	,0.124 	,0.099 	,1.0	},  // discretization step
+	{3150	,231 	,981	,756	,110 	,1875	,1875	,1277	,230	,343	,540	,2270	,216	,405 	,1430 	,1		},  // # of pseudocompound
+	{0.24	,0.049	,0.19	,0.19	,0.049	,0.19	,0.19	,0.249	,0.19	,0.145	,0.19	,0.249	,0.19	,0.124 	,0.099 	,1.0	},  // discretization step
 
 	6.0, 						/* max dG under which a phase is considered to be reintroduced  					*/
 	473.15,						/* max temperature above which PGE solver is active 								*/
@@ -130,7 +131,7 @@ ultramafic_dataset ultramafic_db = {
 	{"fl"	,"ol"  ,"br"	,"ch"	,"atg"	,"g"	,"ta"	,"chl"	,"spi"	,"opx"	,"po"	,"anth" 	},
 	
 	{1		,1		,1		,1		,1		,1		,1		,1		,1 		,1 		,1		,1			},  // allow solvus?
-	{11  	,10  	,10 	,10 	,489 	,10  	,985 	,2691	,100	,196	,10		,274		},  // No. of pseudocompound
+	{11  	,10  	,11 	,10 	,489 	,10  	,985 	,2691	,100	,196	,10		,274		},  // No. of pseudocompound
 	{0.001	,0.1	,0.1	,0.1	,0.19	,0.1	,0.19	,0.19	,0.1	,0.19	,0.1	,0.249		},  // discretization step
 
 	4.0, 						/* max dG under which a phase is considered to be reintroduced  					*/
@@ -147,6 +148,34 @@ ultramafic_dataset ultramafic_db = {
 	1e-6						/** objective function tolerance 				 									*/
 };
 
+ultramafic_ext_dataset ultramafic_ext_db = {
+	633,						/* Endmember default dataset number */
+	9,							/* number of oxides */			
+	21,							/* number of pure phases */
+	15,							/* number of solution phases */
+	{"SiO2"	,"Al2O3","MgO"	,"FeO"	,"O"	,"H2O"	,"S"	,"CaO"	,"Na2O"								},
+	{"q"	,"crst"	,"trd"	,"coe"	,"stv"	,"ky"	,"sill"	,"and"	,"pyr"	,"O2"  	,
+	"qfm"	,"qif"	,"nno"	,"hm"	,"cco"	,"aH2O"	, "aO2"	,"aMgO"	,"aFeO"	,"aAl2O3"		,"aTiO2"	},
+	{"fl"	,"ol"  ,"br"	,"ch"	,"atg"	,"g"	,"ta"	,"chl"	,"spi"	,"opx"	,"po"	,"anth"	,"pl4tr","hb"	,"aug"	},
+	
+	{1		,1		,1		,1		,1		,1		,1		,1		,1 		,1 		,1		,1		,1		,1		,1		},  // allow solvus?
+	{11  	,10  	,11 	,10 	,489 	,10  	,985 	,2691	,100	,196	,10		,274	,21		,3640	,3036	},  // No. of pseudocompound
+	{0.001	,0.1	,0.1	,0.1	,0.19	,0.1	,0.19	,0.19	,0.1	,0.19	,0.1	,0.249	,0.049	,0.24	,0.24	},  // discretization step
+
+	4.0, 						/* max dG under which a phase is considered to be reintroduced  					*/
+	473.15,						/* max temperature above which PGE solver is active 								*/
+	873.15,						/** minimum temperature above which melt is considered 								*/
+
+	4,							/** number of inner PGE iterations, this has to be made mass or dG dependent 		*/
+	0.025,						/** maximum mol% phase change during one PGE iteration in wt% 						*/
+	1.5,						/** maximum delta_G of reference change during PGE 									*/
+	1.0,						/** maximum update factor during PGE under-relax < 0.0, over-relax > 0.0 	 		*/
+
+	1e-1,						/** merge instances of solution phase if norm < val 								*/
+	1e-4,						/** fraction of solution phase when re-introduced 									*/
+	1e-6						/** objective function tolerance 				 									*/
+};
+
 /* Function to allocate the memory of the data to be used/saved during PGE iterations */
 global_variable global_variable_TC_init( 	global_variable  	 gv,
 											bulk_info 			*z_b 	){
@@ -355,6 +384,51 @@ global_variable global_variable_TC_init( 	global_variable  	 gv,
 			gv.SS_PC_stp[i] = db.SS_PC_stp[i]; 	
 		}
 	}
+	else if (gv.EM_database == 5){
+		ultramafic_ext_dataset db = ultramafic_ext_db;
+		if (gv.EM_dataset == -1){
+			gv.EM_dataset = db.ds_version;	
+		}
+		gv.len_pp   		= db.n_pp;		
+		gv.len_ss  			= db.n_ss;
+		gv.len_ox  			= db.n_ox;
+
+		gv.PC_df_add		= db.PC_df_add;					/** min value of df under which the PC is added 									*/
+		gv.solver_switch_T  = db.solver_switch_T;
+		gv.min_melt_T       = db.min_melt_T;				/** minimum temperature above which melt is considered 								*/
+
+		gv.inner_PGE_ite    = db.inner_PGE_ite;				/** number of inner PGE iterations, this has to be made mass or dG dependent 		*/
+		gv.max_n_phase  	= db.max_n_phase;				/** maximum mol% phase change during one PGE iteration in wt% 						*/
+		gv.max_g_phase  	= db.max_g_phase;				/** maximum delta_G of reference change during PGE 									*/
+		gv.max_fac          = db.max_fac;					/** maximum update factor during PGE under-relax < 0.0, over-relax > 0.0 	 		*/
+
+		gv.merge_value		= db.merge_value;				/** merge instances of solution phase if norm < val 								*/
+		gv.re_in_n          = db.re_in_n;					/** fraction of phase when being reintroduce.  										*/
+		gv.obj_tol 			= db.obj_tol;
+		gv.ox 				= malloc (gv.len_ox * sizeof(char*)		);
+		for (i = 0; i < gv.len_ox; i++){
+			gv.ox[i] 		= malloc(20 * sizeof(char));	
+			strcpy(gv.ox[i],db.ox[i]);
+		}
+
+		gv.PP_list 			= malloc (gv.len_pp * sizeof(char*)		);
+		for (i = 0; i < (gv.len_pp); i++){	
+			gv.PP_list[i] 	= malloc(20 * sizeof(char));
+			strcpy(gv.PP_list[i],db.PP[i]);
+		}
+
+		gv.SS_list 			= malloc ((gv.len_ss) * sizeof (char*)	);
+		gv.n_SS_PC     		= malloc ((gv.len_ss) * sizeof (int) 	);
+		gv.verifyPC  		= malloc ((gv.len_ss) * sizeof (int) 	);
+		gv.SS_PC_stp     	= malloc ((gv.len_ss) * sizeof (double) );
+		for (i = 0; i < gv.len_ss; i++){ 
+			gv.SS_list[i] 	= malloc(20 * sizeof(char)				);
+			strcpy(gv.SS_list[i],db.SS[i]);
+			gv.verifyPC[i]  = db.verifyPC[i]; 
+			gv.n_SS_PC[i] 	= db.n_SS_PC[i]; 
+			gv.SS_PC_stp[i] = db.SS_PC_stp[i]; 	
+		}
+	}
 
 	/**
 	 ALLOCATE MEMORY OF OTHER GLOBAL VARIABLES
@@ -474,6 +548,9 @@ global_variable global_variable_TC_init( 	global_variable  	 gv,
 				else if (strcmp( gv.ox[i], "O") 	== 0){
 					gv.O_id = i;
 				}
+				else if (strcmp( gv.ox[i], "S") 	== 0){
+					gv.S_id = i;
+				}
 				else if (strcmp( gv.ox[i], "Cr2O3") == 0){
 					gv.Cr2O3_id = i;
 				}
@@ -520,7 +597,7 @@ global_variable get_bulk_metapelite( global_variable gv) {
 		gv.test = 0;
 		if (gv.verbose == 1){
 			printf("\n");
-			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default KLB1)\n");	
+			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default FPWorldMedian pelite)\n");	
 		}	
 	}
 	if (gv.test == 0){ 			//FPWorldMedian pelite
@@ -617,7 +694,7 @@ global_variable get_bulk_metabasite( global_variable gv) {
 		gv.test = 0;
 		if (gv.verbose == 1){
 			printf("\n");
-			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default KLB1)\n");	
+			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default SM89 oxidised average MORB)\n");	
 		}	
 	}
 	if (gv.test == 0){
@@ -853,7 +930,7 @@ global_variable get_bulk_ultramafic( global_variable gv) {
 		gv.test = 0;
 		if (gv.verbose == 1){
 			printf("\n");
-			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default KLB1)\n");	
+			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default Serpentine oxidized)\n");	
 		}	
 	}
 	if (gv.test == 0){ //Evans&Forst 2021, Serpentine oxidized
@@ -883,3 +960,62 @@ global_variable get_bulk_ultramafic( global_variable gv) {
 	}
 	return gv;
 }
+
+/* Provide a list of test bulk-rock composition for the ultramafic database (Evans & Frost, 2021)*/
+global_variable get_bulk_ultramafic_ext( global_variable gv) {
+ 	if (gv.test != -1){
+		if (gv.verbose == 1){
+			printf("\n");
+			printf("   - Minimization using in-built bulk-rock  : test %2d\n",gv.test);	
+		}							
+	}
+	else{
+		gv.test = 0;
+		if (gv.verbose == 1){
+			printf("\n");
+			printf("   - No predefined bulk provided -> user custom bulk (if none provided, will run default Serpentine oxidized)\n");	
+		}	
+	}
+	if (gv.test == 0){ //Barberton Komatiite, Tamblyn et al.,2022 
+		/* SiO2 Al2O3 MgO FeO O H2O S */
+		gv.bulk_rock[0]  = 38.51 ;		/** SiO2 	*/
+		gv.bulk_rock[1]  = 2.25;		/** Al2O2 	*/
+		gv.bulk_rock[2]  = 29.03;		/** MgO 	*/
+		gv.bulk_rock[3]  = 4.65;		/** FeO 	*/
+		gv.bulk_rock[4]  = 0.5;			/** O 		*/
+		gv.bulk_rock[5]  = 16.0;		/** H2O 	*/	
+		gv.bulk_rock[6]  = 0.1;			/** S 		*/		
+		gv.bulk_rock[7]  = 6.92;		/** CaO		*/	
+		gv.bulk_rock[8]  = 0.25;		/** Na2O	*/	
+	}      
+	else if (gv.test == 1){ //Evans&Forst 2021, Serpentine oxidized
+		/* SiO2 Al2O3 MgO FeO O H2O S */
+		gv.bulk_rock[0]  = 20.044 ;		/** SiO2 	*/
+		gv.bulk_rock[1]  = 0.6256;		/** Al2O2 	*/
+		gv.bulk_rock[2]  = 29.24;		/** MgO 	*/
+		gv.bulk_rock[3]  = 3.149;		/** FeO 	*/
+		gv.bulk_rock[4]  = 0.7324;		/** O 		*/
+		gv.bulk_rock[5]  = 46.755;		/** H2O 	*/
+		gv.bulk_rock[6]  = 0.3;			/** S 		*/		
+		gv.bulk_rock[7]  = 2.0;			/** CaO		*/	
+		gv.bulk_rock[8]  = 0.15;		/** Na2O	*/	
+	}
+	else if (gv.test == 2){ //Evans&Forst 2021, Serpentine reduced
+		/* SiO2 Al2O3 MgO FeO O H2O S */
+		gv.bulk_rock[0]  = 20.044 ;		/** SiO2 	*/
+		gv.bulk_rock[1]  = 0.6256;		/** Al2O2 	*/
+		gv.bulk_rock[2]  = 29.24;		/** MgO 	*/
+		gv.bulk_rock[3]  = 3.149;		/** FeO 	*/
+		gv.bulk_rock[4]  = 0.1324;		/** O 		*/
+		gv.bulk_rock[5]  = 46.755;		/** H2O 	*/	
+		gv.bulk_rock[6]  = 0.3;			/** S 		*/		
+		gv.bulk_rock[7]  = 2.0;			/** CaO		*/	
+		gv.bulk_rock[8]  = 0.15;			/** Na2O	*/	
+	}
+  
+	else{
+		printf("Unknown test %i - please specify a different test! \n", gv.test);
+	 	exit(EXIT_FAILURE);
+	}
+	return gv;
+}
diff --git a/src/TC_database/TC_init_database.h b/src/TC_database/TC_init_database.h
index 38e7c2d..d70f6c3 100644
--- a/src/TC_database/TC_init_database.h
+++ b/src/TC_database/TC_init_database.h
@@ -22,6 +22,7 @@
 		double  oxMass[15];
 		double  atPerOx[15];
 		double  ElEntropy[15]; //standard molar entropy
+		double  OPerOx[15];
 
 	} oxide_data;
 
@@ -158,6 +159,37 @@
 
 	} ultramafic_dataset;
 
+	typedef struct ultramafic_ext_datasets {
+		int 	ds_version;
+		int 	n_ox;
+		int 	n_pp;
+		int 	n_ss;
+		char    ox[9][20];
+		char    PP[21][20];
+		char    SS[15][20];
+
+		int 	verifyPC[15];
+		int 	n_SS_PC[15];
+		double 	SS_PC_stp[15];
+
+		double 	PC_df_add;					/** min value of df under which the PC is added 									*/
+		double  solver_switch_T;
+		double  min_melt_T;
+
+		double  inner_PGE_ite;				/** number of inner PGE iterations, this has to be made mass or dG dependent 		*/
+		double  max_n_phase;				/** maximum mol% phase change during one PGE iteration in wt% 						*/
+		double  max_g_phase;				/** maximum delta_G of reference change during PGE 									*/
+		double 	max_fac;					/** maximum update factor during PGE under-relax < 0.0, over-relax > 0.0 	 		*/
+
+		double  merge_value;				/** max norm distance between two instances of a solution phase						*/	
+		double 	re_in_n;					/** fraction of phase when being reintroduce.  										*/
+
+		double  obj_tol;
+
+	} ultramafic_ext_dataset;
+
+
+
     global_variable global_variable_TC_init( 	global_variable  	 gv,
                                             	bulk_info 			*z_b 	);
 
@@ -165,5 +197,5 @@
     global_variable get_bulk_metabasite( global_variable gv);
     global_variable get_bulk_igneous( global_variable gv);
     global_variable get_bulk_ultramafic( global_variable gv);
-
+    global_variable get_bulk_ultramafic_ext( global_variable gv);
 #endif
\ No newline at end of file
diff --git a/src/TC_database/TC_solution_phases.h b/src/TC_database/TC_solution_phases.h
index 82473b7..fe4f0fb 100644
--- a/src/TC_database/TC_solution_phases.h
+++ b/src/TC_database/TC_solution_phases.h
@@ -21,5 +21,4 @@
     #include "SS_xeos_PC_mb.h" 
     #include "SS_xeos_PC_ig.h"
     #include "SS_xeos_PC_um.h"
-
 #endif
\ No newline at end of file
diff --git a/src/TC_database/gss_function.c b/src/TC_database/gss_function.c
index cb7d3a7..a696b12 100644
--- a/src/TC_database/gss_function.c
+++ b/src/TC_database/gss_function.c
@@ -1541,8 +1541,8 @@ SS_ref G_SS_mb_spn_function(SS_ref SS_ref_db, char* research_group, int EM_datab
     };
     
     SS_ref_db.W[0] = 0.0;
-    SS_ref_db.W[1] = 27.0000000000000;
-    SS_ref_db.W[2] = 30.0000000000000;
+    SS_ref_db.W[1] = 27.;
+    SS_ref_db.W[2] = 30.;
     
     
     em_data herc_eq 		= get_em_data(		research_group, EM_database, 
@@ -6979,6 +6979,13 @@ SS_ref G_SS_um_fluid_function(SS_ref SS_ref_db, char* research_group, int EM_dat
     };
 
     SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 0.01-eps;
+    
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[0]          = 0.0;
+        SS_ref_db.d_em[0]          = 1.0;
+		SS_ref_db.bounds_ref[0][0] = 0.0; 
+		SS_ref_db.bounds_ref[0][1] = 0.0;	
+	}
 
     return SS_ref_db;
 }
@@ -7284,7 +7291,7 @@ SS_ref G_SS_um_atg_function(SS_ref SS_ref_db, char* research_group, int EM_datas
         SS_ref_db.Comp[3][i] 	= atg_eq.C[i]/16.0 - ta_eq.C[i] + tats_eq.C[i];
         SS_ref_db.Comp[4][i] 	= andr_eq.C[i]/2.0 + atg_eq.C[i]/16.0 - gr_eq.C[i]/2.0 - ta_eq.C[i] + tats_eq.C[i];
     }
-    
+
     for (i = 0; i < n_em; i++){
         SS_ref_db.z_em[i] = 1.0;
     };
@@ -7293,6 +7300,13 @@ SS_ref G_SS_um_atg_function(SS_ref SS_ref_db, char* research_group, int EM_datas
     SS_ref_db.bounds_ref[1][0] = 0.0+eps;  SS_ref_db.bounds_ref[1][1] = 1.0-eps;
     SS_ref_db.bounds_ref[2][0] = 0.0+eps;  SS_ref_db.bounds_ref[2][1] = 1.0-eps;
     SS_ref_db.bounds_ref[3][0] = -1.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
+    
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[4]          = 0.0;
+        SS_ref_db.d_em[4]          = 1.0;
+		SS_ref_db.bounds_ref[2][0] = 0.0; 
+		SS_ref_db.bounds_ref[2][1] = 0.0;	
+	}
 
     return SS_ref_db;
 }
@@ -7470,7 +7484,7 @@ SS_ref G_SS_um_ta_function(SS_ref SS_ref_db, char* research_group, int EM_datase
         SS_ref_db.Comp[4][i] 	= andr_eq.C[i]/2.0 - gr_eq.C[i]/2.0 + tats_eq.C[i];
         SS_ref_db.Comp[5][i] 	= tap_eq.C[i];
     }
-    
+
     for (i = 0; i < n_em; i++){
         SS_ref_db.z_em[i] = 1.0;
     };
@@ -7480,6 +7494,13 @@ SS_ref G_SS_um_ta_function(SS_ref SS_ref_db, char* research_group, int EM_datase
     SS_ref_db.bounds_ref[2][0] = 0.0+eps;  SS_ref_db.bounds_ref[2][1] = 1.0-eps;
     SS_ref_db.bounds_ref[3][0] = 0.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
     SS_ref_db.bounds_ref[4][0] = -1.0+eps; SS_ref_db.bounds_ref[4][1] = 1.0-eps;
+    
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[4]          = 0.0;
+        SS_ref_db.d_em[4]          = 1.0;
+		SS_ref_db.bounds_ref[2][0] = 0.0; 
+		SS_ref_db.bounds_ref[2][1] = 0.0;	
+	}
 
     return SS_ref_db;
 }
@@ -7603,7 +7624,7 @@ SS_ref G_SS_um_chl_function(SS_ref SS_ref_db, char* research_group, int EM_datas
         SS_ref_db.Comp[5][i] 	= afchl_eq.C[i] - clin_eq.C[i]/5.0 + daph_eq.C[i]/5.0;
         SS_ref_db.Comp[6][i] 	= andr_eq.C[i]/2.0 + clin_eq.C[i] - gr_eq.C[i]/2.0;
     }
-    
+
     for (i = 0; i < n_em; i++){
         SS_ref_db.z_em[i] = 1.0;
     };
@@ -7614,7 +7635,14 @@ SS_ref G_SS_um_chl_function(SS_ref SS_ref_db, char* research_group, int EM_datas
     SS_ref_db.bounds_ref[3][0] = 0.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
     SS_ref_db.bounds_ref[4][0] = -1.0+eps;  SS_ref_db.bounds_ref[4][1] = 1.0-eps;
     SS_ref_db.bounds_ref[5][0] = -1.0+eps;  SS_ref_db.bounds_ref[5][1] = 1.0-eps;
-    
+  
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[6]          = 0.0;
+        SS_ref_db.d_em[6]          = 1.0;
+		SS_ref_db.bounds_ref[2][0] = 0.0; 
+		SS_ref_db.bounds_ref[2][1] = 0.0;	
+	}
+  
     return SS_ref_db;
 }
 
@@ -7781,7 +7809,7 @@ SS_ref G_SS_um_spi_function(SS_ref SS_ref_db, char* research_group, int EM_datas
         SS_ref_db.Comp[1][i] 	= sp_eq.C[i];
         SS_ref_db.Comp[2][i] 	= mt_eq.C[i];
     }
-    
+
     for (i = 0; i < n_em; i++){
         SS_ref_db.z_em[i] = 1.0;
     };
@@ -7789,6 +7817,13 @@ SS_ref G_SS_um_spi_function(SS_ref SS_ref_db, char* research_group, int EM_datas
     SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 1.0-eps;
     SS_ref_db.bounds_ref[1][0] = 0.0+eps;  SS_ref_db.bounds_ref[1][1] = 1.0-eps;
 
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[2]          = 0.0;
+        SS_ref_db.d_em[2]          = 1.0;
+		SS_ref_db.bounds_ref[1][0] = 1.0; 
+		SS_ref_db.bounds_ref[1][1] = 1.0;	
+	}
+
     return SS_ref_db;
 }
 
@@ -7886,7 +7921,7 @@ SS_ref G_SS_um_opx_function(SS_ref SS_ref_db, char* research_group, int EM_datas
         SS_ref_db.Comp[3][i] 	= mgts_eq.C[i];
         SS_ref_db.Comp[4][i] 	= andr_eq.C[i]/2.0 - gr_eq.C[i]/2.0 + mgts_eq.C[i];
     }
-    
+
     for (i = 0; i < n_em; i++){
         SS_ref_db.z_em[i] = 1.0;
     };
@@ -7896,6 +7931,13 @@ SS_ref G_SS_um_opx_function(SS_ref SS_ref_db, char* research_group, int EM_datas
     SS_ref_db.bounds_ref[2][0] = 0.0+eps;  SS_ref_db.bounds_ref[2][1] = 1.0-eps;
     SS_ref_db.bounds_ref[3][0] = 0.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
 
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[4]          = 0.0;
+        SS_ref_db.d_em[4]          = 1.0;
+		SS_ref_db.bounds_ref[2][0] = 0.0; 
+		SS_ref_db.bounds_ref[2][1] = 0.0;	
+	}
+
     return SS_ref_db;
 }
 
@@ -7957,157 +7999,574 @@ SS_ref G_SS_um_po_function(SS_ref SS_ref_db, char* research_group, int EM_datase
     };
     
     SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 1.0-eps;
-    
-    return SS_ref_db;
-}
 
-SS_ref G_SS_mb_EM_function(		global_variable 	 gv,
-								SS_ref 				 SS_ref_db, 
-								int 				 EM_dataset, 
-								bulk_info 	 		 z_b, 
-								char   				*name				){
-									  
-	double eps 		   	= gv.bnd_val;
-	double P 			= SS_ref_db.P;
-	double T 			= SS_ref_db.T;	
-					   
-	SS_ref_db.ss_flags[0]  = 1;
 
-	/* Associate the right solid-solution data */
-	for (int FD = 0; FD < gv.n_Diff; FD++){				/* cycle twice in order to get gb_P_eps to calculate densities later on */
-		
-		if (FD == 8 || FD == 9){				// dG/dP0 to get Volume at P = 1bar
-			SS_ref_db.P = 1.+ gv.gb_P_eps*gv.pdev[0][FD];
-			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
-		}
-		else{
-			SS_ref_db.P = P + gv.gb_P_eps*gv.pdev[0][FD];
-			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
-		}
+    return SS_ref_db;
+}
 
-        if (strcmp( name, "liq") == 0 ){
-			/* turn of liquid when T < 600°C) */
-			if ( T < gv.min_melt_T){
-				SS_ref_db.ss_flags[0]  = 0;
-			}
-            SS_ref_db  = G_SS_mb_liq_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "hb") == 0 ){
-            SS_ref_db  = G_SS_mb_hb_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "aug") == 0 ){
-            SS_ref_db  = G_SS_mb_aug_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "dio") == 0 ){
-            SS_ref_db  = G_SS_mb_dio_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "opx") == 0 ){
-            SS_ref_db  = G_SS_mb_opx_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "g") == 0 ){
-            SS_ref_db  = G_SS_mb_g_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "ol") == 0 ){
-            SS_ref_db  = G_SS_mb_ol_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "fsp") == 0 ){
-            SS_ref_db  = G_SS_mb_fsp_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "abc") == 0 ){
-            SS_ref_db  = G_SS_mb_abc_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "k4tr") == 0 ){
-            SS_ref_db  = G_SS_mb_k4tr_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "sp") == 0 ){
-			if (z_b.bulk_rock[gv.O_id] == 0.){
-				SS_ref_db.ss_flags[0]  = 0;
-			}
-            SS_ref_db  = G_SS_mb_sp_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "spn") == 0 ){
-			if (z_b.bulk_rock[gv.O_id] != 0.){
-				SS_ref_db.ss_flags[0]  = 0;
-			}
-            SS_ref_db  = G_SS_mb_spn_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "ilm") == 0 ){
-			if (z_b.bulk_rock[gv.TiO2_id] == 0.){
-				SS_ref_db.ss_flags[0]  = 0;
-			}
-            SS_ref_db  = G_SS_mb_ilm_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "ilmm") == 0 ){
-			if (z_b.bulk_rock[gv.TiO2_id] == 0.){
-				SS_ref_db.ss_flags[0]  = 0;
-			}
-            SS_ref_db  = G_SS_mb_ilmm_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "ep") == 0 ){
-            SS_ref_db  = G_SS_mb_ep_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "bi") == 0 ){
-            SS_ref_db  = G_SS_mb_bi_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "mu") == 0 ){
-            SS_ref_db  = G_SS_mb_mu_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else if (strcmp( name, "chl") == 0 ){
-            SS_ref_db  = G_SS_mb_chl_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
-        else{
-            printf("\nsolid solution '%s' is not in the database\n",name);	}
+/**
+   retrieve reference thermodynamic data for ume_pl4tr
+*/
+SS_ref G_SS_ume_pl4tr_function(SS_ref SS_ref_db,  char* research_group, int EM_dataset, int len_ox, bulk_info z_b, double eps){
+    
+    int i, j;
+    int n_em = SS_ref_db.n_em;
+    
+    char   *EM_tmp[] 		= {"ab","an"};
+    for (int i = 0; i < SS_ref_db.n_em; i++){
+        strcpy(SS_ref_db.EM_list[i],EM_tmp[i]);
+    };
+    int n_sf = SS_ref_db.n_sf;
+    
+    int n_xeos = SS_ref_db.n_xeos;
+    char   *CV_tmp[] 		= {"ca"};
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+        strcpy(SS_ref_db.CV_list[i],CV_tmp[i]);
+    };
 
-        for (int j = 0; j < SS_ref_db.n_em; j++){
-            SS_ref_db.mu_array[FD][j] = SS_ref_db.gbase[j];
-        }
+    char   *SF_tmp[] 		= {"xNaA","xCaA","xAlTB","xSiTB"};
+    for (int i = 0; i < SS_ref_db.n_sf; i++){
+        strcpy(SS_ref_db.SF_list[i],SF_tmp[i]);
+    };
+    
+    SS_ref_db.W[0] = -0.04*SS_ref_db.P - 0.00935*SS_ref_db.T + 14.6;
+    
+    em_data ab_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"ab", 
+    										"equilibrium"	);
+    
+    em_data an_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"an", 
+    										"equilibrium"	);
+    
+    SS_ref_db.gbase[0] 		= ab_eq.gb;
+    SS_ref_db.gbase[1] 		= an_eq.gb;
+    
+    SS_ref_db.ElShearMod[0] 	= ab_eq.ElShearMod;
+    SS_ref_db.ElShearMod[1] 	= an_eq.ElShearMod;
+    
+    for (i = 0; i < len_ox; i++){
+        SS_ref_db.Comp[0][i] 	= ab_eq.C[i];
+        SS_ref_db.Comp[1][i] 	= an_eq.C[i];
     }
-
-	for (int j = 0; j < SS_ref_db.n_xeos; j++){
-		SS_ref_db.bounds[j][0] = SS_ref_db.bounds_ref[j][0];
-		SS_ref_db.bounds[j][1] = SS_ref_db.bounds_ref[j][1];
-	}
-
-	/* Calculate the number of atoms in the bulk-rock composition */
-	double fbc     = 0.0;
-	for (int i = 0; i < gv.len_ox; i++){
-		fbc += z_b.bulk_rock[i]*z_b.apo[i];
-	}
-
-	/* get the numer of atoms per endmember, needed to update normalization factor for liquid */
-	for (int i = 0; i < SS_ref_db.n_em; i++){
-		SS_ref_db.ape[i] = 0.0;
-		for (int j = 0; j < gv.len_ox; j++){
-			SS_ref_db.ape[i] += SS_ref_db.Comp[i][j]*z_b.apo[j];
-		}
-	}
-	
-	SS_ref_db.fbc = z_b.fbc;	
-	
-	if (gv.verbose == 1){
-		printf(" %4s:",name);
-
-		/* display Gibbs free energy of reference? */
-		for (int j = 0; j < SS_ref_db.n_em; j++){
-			printf(" %+12.5f",SS_ref_db.gbase[j]);
-		}
-		printf("\n");
-
-        /* display molar composition */
-        printf("\n S   A   C   M   F   K   N   T   O   H\n");
-        for (int i = 0; i < SS_ref_db.n_em; i++){
-            for (int j = 0; j < gv.len_ox; j++){
-                printf(" %.1f",SS_ref_db.Comp[i][j]);
-            }
-            printf("\n");
-        }
-        printf("\n");
-	
-	}
-
-	return SS_ref_db;
-};
+    
+    for (i = 0; i < n_em; i++){
+        SS_ref_db.z_em[i] = 1.0;
+    };
+    
+    SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 1.0-eps;
+    
+    return SS_ref_db;
+}
 
 /**
-  checks if it can satisfy the mass constraint
+   retrieve reference thermodynamic data for ume_hb
 */
-SS_ref G_SS_ig_EM_function(		global_variable 	 gv,
-								SS_ref 				 SS_ref_db, 
-								int 				 EM_dataset, 
-								bulk_info 	 		 z_b, 
-								char   				*name				){
-									  
-	double eps 		   	= gv.bnd_val;
-	double P 			= SS_ref_db.P;
-	double T 			= SS_ref_db.T;	
-					   
-	SS_ref_db.ss_flags[0]  = 1;
+SS_ref G_SS_ume_hb_function(SS_ref SS_ref_db,  char* research_group, int EM_dataset, int len_ox, bulk_info z_b, double eps){
+    
+    int i, j;
+    int n_em = SS_ref_db.n_em;
+    
+    char   *EM_tmp[] 		= {"tr","tsm","prgm","glm","cumm","grnm","a","b","mrb"};
+    for (int i = 0; i < SS_ref_db.n_em; i++){
+        strcpy(SS_ref_db.EM_list[i],EM_tmp[i]);
+    };
+    int n_sf = SS_ref_db.n_sf;
 
-	/* Associate the right solid-solution data */
-	for (int FD = 0; FD < gv.n_Diff; FD++){				/* cycle twice in order to get gb_P_eps to calculate densities later on */
-		
+    int n_xeos = SS_ref_db.n_xeos;
+    char   *CV_tmp[] 		= {"x","y","z","a","c","f","Q1","Q2"};
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+        strcpy(SS_ref_db.CV_list[i],CV_tmp[i]);
+    };
+
+    char   *SF_tmp[] 		= {"xvA","xNaA","xMgM13","xFeM13","xMgM2","xFeM2","xAlM2","xFe3M2","xCaM4","xMgM4","xFeM4","xNaM4","xSiT1","xAlT1"};
+    for (int i = 0; i < SS_ref_db.n_sf; i++){
+        strcpy(SS_ref_db.SF_list[i],SF_tmp[i]);
+    };
+    
+    SS_ref_db.W[0] = 20.;
+    SS_ref_db.W[1] = 25.;
+    SS_ref_db.W[2] = 65.;
+    SS_ref_db.W[3] = 45.;
+    SS_ref_db.W[4] = 75.;
+    SS_ref_db.W[5] = 57.;
+    SS_ref_db.W[6] = 63.;
+    SS_ref_db.W[7] = 52.;
+    SS_ref_db.W[8] = -40.;
+    SS_ref_db.W[9] = 25.;
+    SS_ref_db.W[10] = 70.;
+    SS_ref_db.W[11] = 80.;
+    SS_ref_db.W[12] = 70.;
+    SS_ref_db.W[13] = 72.5000000000000;
+    SS_ref_db.W[14] = 20.;
+    SS_ref_db.W[15] = 50.;
+    SS_ref_db.W[16] = 90.;
+    SS_ref_db.W[17] = 106.700000000000;
+    SS_ref_db.W[18] = 94.8000000000000;
+    SS_ref_db.W[19] = 94.8000000000000;
+    SS_ref_db.W[20] = 40.;
+    SS_ref_db.W[21] = 100.000000000000;
+    SS_ref_db.W[22] = 113.500000000000;
+    SS_ref_db.W[23] = 100.000000000000;
+    SS_ref_db.W[24] = 111.200000000000;
+    SS_ref_db.W[25] = 0.0;
+    SS_ref_db.W[26] = 33.;
+    SS_ref_db.W[27] = 18.;
+    SS_ref_db.W[28] = 23.;
+    SS_ref_db.W[29] = 80.;
+    SS_ref_db.W[30] = 12.;
+    SS_ref_db.W[31] = 8.0;
+    SS_ref_db.W[32] = 91.;
+    SS_ref_db.W[33] = 20.;
+    SS_ref_db.W[34] = 80.;
+    SS_ref_db.W[35] = 90.;
+    
+    SS_ref_db.v[0] = 1.0;
+    SS_ref_db.v[1] = 1.5;
+    SS_ref_db.v[2] = 1.7;
+    SS_ref_db.v[3] = 0.80;
+    SS_ref_db.v[4] = 1.0;
+    SS_ref_db.v[5] = 1.0;
+    SS_ref_db.v[6] = 1.0;
+    SS_ref_db.v[7] = 1.0;
+    SS_ref_db.v[8] = 0.80;
+    
+    
+    em_data tr_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"tr", 
+    										"equilibrium"	);
+    
+    em_data ts_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"ts", 
+    										"equilibrium"	);
+    
+    em_data parg_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"parg", 
+    										"equilibrium"	);
+    
+    em_data gl_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"gl", 
+    										"equilibrium"	);
+    
+    em_data cumm_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"cumm", 
+    										"equilibrium"	);
+    
+    em_data grun_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"grun", 
+    										"equilibrium"	);
+    
+    em_data andr_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"andr", 
+    										"equilibrium"	);
+    
+    em_data gr_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"gr", 
+    										"equilibrium"	);
+    
+    SS_ref_db.gbase[0] 		= tr_eq.gb;
+    SS_ref_db.gbase[1] 		= ts_eq.gb + 10.0;
+    SS_ref_db.gbase[2] 		= parg_eq.gb - 10.0;
+    SS_ref_db.gbase[3] 		= gl_eq.gb - 3.0;
+    SS_ref_db.gbase[4] 		= cumm_eq.gb;
+    SS_ref_db.gbase[5] 		= grun_eq.gb - 3.0;
+    SS_ref_db.gbase[6] 		= 0.428571428571429*cumm_eq.gb + 0.571428571428571*grun_eq.gb - 11.2;
+    SS_ref_db.gbase[7] 		= 0.285714285714286*cumm_eq.gb + 0.714285714285714*grun_eq.gb - 13.8;
+    SS_ref_db.gbase[8] 		= andr_eq.gb + gl_eq.gb -gr_eq.gb;
+    
+    SS_ref_db.ElShearMod[0] 	= tr_eq.ElShearMod;
+    SS_ref_db.ElShearMod[1] 	= ts_eq.ElShearMod;
+    SS_ref_db.ElShearMod[2] 	= parg_eq.ElShearMod;
+    SS_ref_db.ElShearMod[3] 	= gl_eq.ElShearMod;
+    SS_ref_db.ElShearMod[4] 	= cumm_eq.ElShearMod;
+    SS_ref_db.ElShearMod[5] 	= grun_eq.ElShearMod;
+    SS_ref_db.ElShearMod[6] 	= 0.428571428571429*cumm_eq.ElShearMod + 0.571428571428571*grun_eq.ElShearMod;
+    SS_ref_db.ElShearMod[7] 	= 0.285714285714286*cumm_eq.ElShearMod + 0.714285714285714*grun_eq.ElShearMod;
+    SS_ref_db.ElShearMod[8] 	= andr_eq.ElShearMod + gl_eq.ElShearMod -gr_eq.ElShearMod;
+    
+    for (i = 0; i < len_ox; i++){
+        SS_ref_db.Comp[0][i] 	= tr_eq.C[i];
+        SS_ref_db.Comp[1][i] 	= ts_eq.C[i];
+        SS_ref_db.Comp[2][i] 	= parg_eq.C[i];
+        SS_ref_db.Comp[3][i] 	= gl_eq.C[i];
+        SS_ref_db.Comp[4][i] 	= cumm_eq.C[i];
+        SS_ref_db.Comp[5][i] 	= grun_eq.C[i];
+        SS_ref_db.Comp[6][i] 	= 0.428571428571429*cumm_eq.C[i] + 0.571428571428571*grun_eq.C[i];
+        SS_ref_db.Comp[7][i] 	= 0.285714285714286*cumm_eq.C[i] + 0.714285714285714*grun_eq.C[i];
+        SS_ref_db.Comp[8][i] 	= andr_eq.C[i] + gl_eq.C[i] -gr_eq.C[i];
+    }
+    
+    for (i = 0; i < n_em; i++){
+        SS_ref_db.z_em[i] = 1.0;
+    };
+    
+    SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[1][0] = 0.0+eps;  SS_ref_db.bounds_ref[1][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[2][0] = 0.0+eps;  SS_ref_db.bounds_ref[2][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[3][0] = 0.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[4][0] = 0.0+eps;  SS_ref_db.bounds_ref[4][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[5][0] = 0.0+eps;  SS_ref_db.bounds_ref[5][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[6][0] = -1.0+eps;  SS_ref_db.bounds_ref[6][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[7][0] = -1.0+eps;  SS_ref_db.bounds_ref[7][1] = 1.0-eps;
+
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[8]          = 0.0;
+        SS_ref_db.d_em[8]          = 1.0;
+		SS_ref_db.bounds_ref[5][0] = 0.0; 
+		SS_ref_db.bounds_ref[5][1] = 0.0;	
+	}
+
+    return SS_ref_db;
+}
+
+/**
+   retrieve reference thermodynamic data for ume_aug
+*/
+SS_ref G_SS_ume_aug_function(SS_ref SS_ref_db,  char* research_group, int EM_dataset, int len_ox, bulk_info z_b, double eps){
+   
+    int i, j;
+    int n_em = SS_ref_db.n_em;
+    
+    char   *EM_tmp[] 		= {"di","cenh","cfs","jdm","acmm","ocats","dcats","fmc"};
+    for (int i = 0; i < SS_ref_db.n_em; i++){
+        strcpy(SS_ref_db.EM_list[i],EM_tmp[i]);
+    };
+    int n_xeos = SS_ref_db.n_xeos;
+    char   *CV_tmp[] 		= {"x","y","f","z","j","Qfm","Qa1"};
+    for (int i = 0; i < SS_ref_db.n_xeos; i++){
+        strcpy(SS_ref_db.CV_list[i],CV_tmp[i]);
+    };
+    char   *SF_tmp[] 		= {"xMgM1","xFeM1","xAlM1","xFe3M1","xMgM2","xFeM2","xCaM2","xNaM2","xSiT1","xAlT1","xSiT2","xAlT2"};
+    for (int i = 0; i < SS_ref_db.n_sf; i++){
+        strcpy(SS_ref_db.SF_list[i],SF_tmp[i]);
+    };
+
+    SS_ref_db.W[0] = 29.8 - 0.03*SS_ref_db.P;
+    SS_ref_db.W[1] = 25.8 - 0.03*SS_ref_db.P;
+    SS_ref_db.W[2] = 26.0;
+    SS_ref_db.W[3] = 21.0;
+    SS_ref_db.W[4] = 12.3 - 0.01*SS_ref_db.P;
+    SS_ref_db.W[5] = 12.3 - 0.01*SS_ref_db.P;
+    SS_ref_db.W[6] = 20.6 - 0.03*SS_ref_db.P;
+    SS_ref_db.W[7] = 2.30;
+    SS_ref_db.W[8] = 50.0;
+    SS_ref_db.W[9] = 62.0;
+    SS_ref_db.W[10] = 45.7 - 0.29*SS_ref_db.P;
+    SS_ref_db.W[11] = 45.7 - 0.29*SS_ref_db.P;
+    SS_ref_db.W[12] = 4.00;
+    SS_ref_db.W[13] = 60.0;
+    SS_ref_db.W[14] = 58.0;
+    SS_ref_db.W[15] = 48.0;
+    SS_ref_db.W[16] = 48.0;
+    SS_ref_db.W[17] = 3.50;
+    SS_ref_db.W[18] = 5.00;
+    SS_ref_db.W[19] = 40.0;
+    SS_ref_db.W[20] = 40.0;
+    SS_ref_db.W[21] = 40.0;
+    SS_ref_db.W[22] = 35.0;
+    SS_ref_db.W[23] = 35.0;
+    SS_ref_db.W[24] = 60.0;
+    SS_ref_db.W[25] = 0.01*SS_ref_db.P + 3.8;
+    SS_ref_db.W[26] = 50.0;
+    SS_ref_db.W[27] = 50.0;
+    
+    SS_ref_db.v[0] = 1.20;
+    SS_ref_db.v[1] = 1.00;
+    SS_ref_db.v[2] = 1.00;
+    SS_ref_db.v[3] = 1.20;
+    SS_ref_db.v[4] = 1.20;
+    SS_ref_db.v[5] = 1.90;
+    SS_ref_db.v[6] = 1.90;
+    SS_ref_db.v[7] = 1.00;
+    
+    
+    em_data di_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"di", 
+    										"equilibrium"	);
+    
+    em_data en_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"en", 
+    										"equilibrium"	);
+    
+    em_data fs_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"fs", 
+    										"equilibrium"	);
+    
+    em_data jd_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"jd", 
+    										"equilibrium"	);
+    
+    em_data acm_eq 		= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"acm", 
+    										"equilibrium"	);
+    
+    em_data cats_or 	= get_em_data(		research_group, EM_dataset, 
+    										len_ox,
+    										z_b,
+    										SS_ref_db.P,
+    										SS_ref_db.T,
+    										"cats", 
+    										"ordered"	);
+    
+    SS_ref_db.gbase[0] 		= di_eq.gb;
+    SS_ref_db.gbase[1] 		= 0.048*z_b.P - 0.002*z_b.T + en_eq.gb + 3.5;
+    SS_ref_db.gbase[2] 		= 0.045*z_b.P - 0.002*z_b.T + fs_eq.gb + 2.1;
+    SS_ref_db.gbase[3] 		= jd_eq.gb + 2.0;
+    SS_ref_db.gbase[4] 		= acm_eq.gb - 5.0;
+    SS_ref_db.gbase[5] 		= cats_or.gb;
+    SS_ref_db.gbase[6] 		= 0.01*z_b.P - 0.002882*z_b.T + cats_or.gb + 3.8;
+    SS_ref_db.gbase[7] 		= 0.0465*z_b.P - 0.002*z_b.T + 0.5*en_eq.gb + 0.5*fs_eq.gb - 1.6;
+    
+    SS_ref_db.ElShearMod[0] 	= di_eq.ElShearMod;
+    SS_ref_db.ElShearMod[1] 	= en_eq.ElShearMod;
+    SS_ref_db.ElShearMod[2] 	= fs_eq.ElShearMod;
+    SS_ref_db.ElShearMod[3] 	= jd_eq.ElShearMod;
+    SS_ref_db.ElShearMod[4] 	= acm_eq.ElShearMod;
+    SS_ref_db.ElShearMod[5] 	= cats_or.ElShearMod;
+    SS_ref_db.ElShearMod[6] 	= cats_or.ElShearMod;
+    SS_ref_db.ElShearMod[7] 	= 0.5*en_eq.ElShearMod + 0.5*fs_eq.ElShearMod;
+    
+    for (i = 0; i < len_ox; i++){
+        SS_ref_db.Comp[0][i] 	= di_eq.C[i];
+        SS_ref_db.Comp[1][i] 	= en_eq.C[i];
+        SS_ref_db.Comp[2][i] 	= fs_eq.C[i];
+        SS_ref_db.Comp[3][i] 	= jd_eq.C[i];
+        SS_ref_db.Comp[4][i] 	= acm_eq.C[i];
+        SS_ref_db.Comp[5][i] 	= cats_or.C[i];
+        SS_ref_db.Comp[6][i] 	= cats_or.C[i];
+        SS_ref_db.Comp[7][i] 	= 0.5*en_eq.C[i] + 0.5*fs_eq.C[i];
+    }
+    
+    for (i = 0; i < n_em; i++){
+        SS_ref_db.z_em[i] = 1.0;
+    };
+    
+    SS_ref_db.bounds_ref[0][0] = 0.0+eps;  SS_ref_db.bounds_ref[0][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[1][0] = 0.0+eps;  SS_ref_db.bounds_ref[1][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[2][0] = 0.0+eps;  SS_ref_db.bounds_ref[2][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[3][0] = 0.0+eps;  SS_ref_db.bounds_ref[3][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[4][0] = 0.0+eps;  SS_ref_db.bounds_ref[4][1] = 1.0-eps;
+    SS_ref_db.bounds_ref[5][0] = 0.0+eps;  SS_ref_db.bounds_ref[5][1] = 2.0-eps;
+    SS_ref_db.bounds_ref[6][0] = 0.0+eps;  SS_ref_db.bounds_ref[6][1] = 1.0-eps;
+
+	if (z_b.bulk_rock[4] == 0.){ 					
+		SS_ref_db.z_em[4]          = 0.0;
+        SS_ref_db.d_em[4]          = 1.0;
+		SS_ref_db.bounds_ref[2][0] = 0.0; 
+		SS_ref_db.bounds_ref[2][1] = 0.0;	
+	}
+
+    return SS_ref_db;
+}
+
+
+SS_ref G_SS_mb_EM_function(		global_variable 	 gv,
+								SS_ref 				 SS_ref_db, 
+								int 				 EM_dataset, 
+								bulk_info 	 		 z_b, 
+								char   				*name				){
+									  
+	double eps 		   	= gv.bnd_val;
+	double P 			= SS_ref_db.P;
+	double T 			= SS_ref_db.T;	
+					   
+	SS_ref_db.ss_flags[0]  = 1;
+
+	/* Associate the right solid-solution data */
+	for (int FD = 0; FD < gv.n_Diff; FD++){				/* cycle twice in order to get gb_P_eps to calculate densities later on */
+		
+		if (FD == 8 || FD == 9){				// dG/dP0 to get Volume at P = 1bar
+			SS_ref_db.P = 1.+ gv.gb_P_eps*gv.pdev[0][FD];
+			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
+		}
+		else{
+			SS_ref_db.P = P + gv.gb_P_eps*gv.pdev[0][FD];
+			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
+		}
+
+        if (strcmp( name, "liq") == 0 ){
+			/* turn of liquid when T < 600°C) */
+			if ( T < gv.min_melt_T){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+            SS_ref_db  = G_SS_mb_liq_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "hb") == 0 ){
+            SS_ref_db  = G_SS_mb_hb_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "aug") == 0 ){
+            SS_ref_db  = G_SS_mb_aug_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "dio") == 0 ){
+            SS_ref_db  = G_SS_mb_dio_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "opx") == 0 ){
+            SS_ref_db  = G_SS_mb_opx_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "g") == 0 ){
+            SS_ref_db  = G_SS_mb_g_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "ol") == 0 ){
+            SS_ref_db  = G_SS_mb_ol_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "fsp") == 0 ){
+            SS_ref_db  = G_SS_mb_fsp_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "abc") == 0 ){
+            SS_ref_db  = G_SS_mb_abc_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "k4tr") == 0 ){
+            SS_ref_db  = G_SS_mb_k4tr_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "sp") == 0 ){
+			if (z_b.bulk_rock[gv.O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+            SS_ref_db  = G_SS_mb_sp_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "spn") == 0 ){
+			if (z_b.bulk_rock[gv.O_id] != 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+            SS_ref_db  = G_SS_mb_spn_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "ilm") == 0 ){
+			if (z_b.bulk_rock[gv.TiO2_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+            SS_ref_db  = G_SS_mb_ilm_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "ilmm") == 0 ){
+			if (z_b.bulk_rock[gv.TiO2_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+            SS_ref_db  = G_SS_mb_ilmm_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "ep") == 0 ){
+            SS_ref_db  = G_SS_mb_ep_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "bi") == 0 ){
+            SS_ref_db  = G_SS_mb_bi_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "mu") == 0 ){
+            SS_ref_db  = G_SS_mb_mu_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else if (strcmp( name, "chl") == 0 ){
+            SS_ref_db  = G_SS_mb_chl_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+        else{
+            printf("\nsolid solution '%s' is not in the database\n",name);	}
+
+        for (int j = 0; j < SS_ref_db.n_em; j++){
+            SS_ref_db.mu_array[FD][j] = SS_ref_db.gbase[j];
+        }
+    }
+
+	for (int j = 0; j < SS_ref_db.n_xeos; j++){
+		SS_ref_db.bounds[j][0] = SS_ref_db.bounds_ref[j][0];
+		SS_ref_db.bounds[j][1] = SS_ref_db.bounds_ref[j][1];
+	}
+
+	/* Calculate the number of atoms in the bulk-rock composition */
+	double fbc     = 0.0;
+	for (int i = 0; i < gv.len_ox; i++){
+		fbc += z_b.bulk_rock[i]*z_b.apo[i];
+	}
+
+	/* get the numer of atoms per endmember, needed to update normalization factor for liquid */
+	for (int i = 0; i < SS_ref_db.n_em; i++){
+		SS_ref_db.ape[i] = 0.0;
+		for (int j = 0; j < gv.len_ox; j++){
+			SS_ref_db.ape[i] += SS_ref_db.Comp[i][j]*z_b.apo[j];
+		}
+	}
+	
+	SS_ref_db.fbc = z_b.fbc;	
+	
+	if (gv.verbose == 1){
+		printf(" %4s:",name);
+
+		/* display Gibbs free energy of reference? */
+		for (int j = 0; j < SS_ref_db.n_em; j++){
+			printf(" %+12.5f",SS_ref_db.gbase[j]);
+		}
+		printf("\n");
+
+        /* display molar composition */
+        printf("\n S   A   C   M   F   K   N   T   O   H\n");
+        for (int i = 0; i < SS_ref_db.n_em; i++){
+            for (int j = 0; j < gv.len_ox; j++){
+                printf(" %.1f",SS_ref_db.Comp[i][j]);
+            }
+            printf("\n");
+        }
+        printf("\n");
+	
+	}
+
+	return SS_ref_db;
+};
+
+/**
+  checks if it can satisfy the mass constraint
+*/
+SS_ref G_SS_ig_EM_function(		global_variable 	 gv,
+								SS_ref 				 SS_ref_db, 
+								int 				 EM_dataset, 
+								bulk_info 	 		 z_b, 
+								char   				*name				){
+									  
+	double eps 		   	= gv.bnd_val;
+	double P 			= SS_ref_db.P;
+	double T 			= SS_ref_db.T;	
+					   
+	SS_ref_db.ss_flags[0]  = 1;
+
+	/* Associate the right solid-solution data */
+	for (int FD = 0; FD < gv.n_Diff; FD++){				/* cycle twice in order to get gb_P_eps to calculate densities later on */
+		
 		if (FD == 8 || FD == 9){				// dG/dP0 to get Volume at P = 1bar
 			SS_ref_db.P = 1.+ gv.gb_P_eps*gv.pdev[0][FD];
 			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
@@ -8460,6 +8919,12 @@ SS_ref G_SS_um_EM_function(		global_variable 	 gv,
 			SS_ref_db  = G_SS_um_ta_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}	
 		else if (strcmp( name, "po") == 0){
 			// if no S, deactivate
+			if (z_b.bulk_rock[gv.S_id] != 0. && z_b.bulk_rock[gv.O_id] != 0.){
+				SS_ref_db.ss_flags[0]  = 1;
+			}
+            else{
+                SS_ref_db.ss_flags[0]  = 0;
+            }
 			SS_ref_db  = G_SS_um_po_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
 		else if (strcmp( name, "chl") == 0){
 			// if no H2O, deactivate
@@ -8532,3 +8997,156 @@ SS_ref G_SS_um_EM_function(		global_variable 	 gv,
 
 	return SS_ref_db;
 };
+
+
+/**
+  checks if it can satisfy the mass constraint
+*/
+SS_ref G_SS_um_ext_EM_function(	global_variable 	 gv,
+								SS_ref 				 SS_ref_db, 
+								int 				 EM_dataset, 
+								bulk_info 	 		 z_b, 
+								char   				*name				){
+									  
+	double eps 		   	= gv.bnd_val;
+	double P 			= SS_ref_db.P;
+	double T 			= SS_ref_db.T;	
+					   
+	SS_ref_db.ss_flags[0]  = 1;
+
+	/* Associate the right solid-solution data */
+	for (int FD = 0; FD < gv.n_Diff; FD++){				/* cycle twice in order to get gb_P_eps to calculate densities later on */
+		//printf("%d %d %s...........\n",FD,EM_dataset,name);	
+		if (FD == 8 || FD == 9){				// dG/dP0 to get Volume at P = 1bar
+			SS_ref_db.P = 1.+ gv.gb_P_eps*gv.pdev[0][FD];
+			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
+		}
+		else{
+			SS_ref_db.P = P + gv.gb_P_eps*gv.pdev[0][FD];
+			SS_ref_db.T = T + gv.gb_T_eps*gv.pdev[1][FD];
+		}
+
+		if (strcmp( name, "fl") == 0 ){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_fluid_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);}
+		else if (strcmp( name, "br") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_br_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "ol") == 0){
+			SS_ref_db  = G_SS_um_ol_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}	
+		else if (strcmp( name, "ch") == 0){
+			// if no h2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_ch_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "atg") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_atg_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}		
+		else if (strcmp( name, "g") == 0){
+			SS_ref_db  = G_SS_um_g_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);		}
+		else if (strcmp( name, "ta") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_ta_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}	
+		else if (strcmp( name, "po") == 0){
+			// if no S, deactivate
+			if (z_b.bulk_rock[gv.S_id] != 0. && z_b.bulk_rock[gv.O_id] != 0.){
+				SS_ref_db.ss_flags[0]  = 1;
+			}
+            else{
+                SS_ref_db.ss_flags[0]  = 0;
+            }
+			SS_ref_db  = G_SS_um_po_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "chl") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_chl_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}	
+		else if (strcmp( name, "anth") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_um_anth_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);}
+		else if (strcmp( name, "opx") == 0){
+			SS_ref_db  = G_SS_um_opx_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "spi") == 0){
+			SS_ref_db  = G_SS_um_spi_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "pl4tr") == 0){
+			SS_ref_db  = G_SS_ume_pl4tr_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);}
+		else if (strcmp( name, "hb") == 0){
+			// if no H2O, deactivate
+			if (z_b.bulk_rock[gv.H2O_id] == 0.){
+				SS_ref_db.ss_flags[0]  = 0;
+			}
+			SS_ref_db  = G_SS_ume_hb_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else if (strcmp( name, "aug") == 0){
+			SS_ref_db  = G_SS_ume_aug_function(SS_ref_db, gv.research_group, EM_dataset, gv.len_ox, z_b, eps);	}
+		else{
+			printf("\nsolid solution '%s' is not in the database\n",name);	}	
+		
+		for (int j = 0; j < SS_ref_db.n_em; j++){
+			SS_ref_db.mu_array[FD][j] = SS_ref_db.gbase[j];
+			// printf(" %+10.10f",SS_ref_db.gbase[j]);
+		}
+		// printf("\n");
+	}
+
+	for (int j = 0; j < SS_ref_db.n_xeos; j++){
+		SS_ref_db.bounds[j][0] = SS_ref_db.bounds_ref[j][0];
+		SS_ref_db.bounds[j][1] = SS_ref_db.bounds_ref[j][1];
+	}
+
+	/* Calculate the number of atoms in the bulk-rock composition */
+	double fbc     = 0.0;
+	for (int i = 0; i < gv.len_ox; i++){
+		fbc += z_b.bulk_rock[i]*z_b.apo[i];
+	}
+
+	/* get the numer of atoms per endmember, needed to update normalization factor for liquid */
+	for (int i = 0; i < SS_ref_db.n_em; i++){
+		SS_ref_db.ape[i] = 0.0;
+		for (int j = 0; j < gv.len_ox; j++){
+			SS_ref_db.ape[i] += SS_ref_db.Comp[i][j]*z_b.apo[j];
+		}
+	}
+
+	SS_ref_db.fbc = z_b.fbc;	
+	
+	if (gv.verbose == 1){
+		printf(" %4s:",name);
+
+		/* display Gibbs free energy of reference? */
+		for (int j = 0; j < SS_ref_db.n_em; j++){
+			printf(" %+12.5f",SS_ref_db.gbase[j]);
+		}
+		printf("\n");
+
+        /* display molar composition */
+        printf("\n S   A   M   F   O   H   S   C   N\n");
+
+        for (int i = 0; i < SS_ref_db.n_em; i++){
+            for (int j = 0; j < gv.len_ox; j++){
+                printf(" %.1f",SS_ref_db.Comp[i][j]);
+            }
+            printf("\n");
+        }
+        printf("\n");
+
+	}
+
+	return SS_ref_db;
+};
diff --git a/src/TC_database/gss_function.h b/src/TC_database/gss_function.h
index 00bc50c..a9bf684 100644
--- a/src/TC_database/gss_function.h
+++ b/src/TC_database/gss_function.h
@@ -36,7 +36,11 @@ SS_ref G_SS_um_EM_function(	global_variable  gv,
 							int 			 EM_dataset,
 							bulk_info 		 z_b,
 							char 			*name					);
-
+SS_ref G_SS_um_ext_EM_function(	global_variable  gv, 
+								SS_ref 			 SS_ref_db,
+								int 			 EM_dataset,
+								bulk_info 		 z_b,
+								char 			*name					);
 typedef struct em_datas{
 	double C[14];
 	double ElShearMod;
diff --git a/src/TC_database/gss_init_function.c b/src/TC_database/gss_init_function.c
index 7fe3c60..d860b8b 100644
--- a/src/TC_database/gss_init_function.c
+++ b/src/TC_database/gss_init_function.c
@@ -136,6 +136,8 @@ stb_system SP_INIT_function(stb_system sp, global_variable gv){
 		sp.SS[n].Comp 			= malloc(gv.len_ox 	* sizeof(double)		);
 		sp.PP[n].Comp_wt 		= malloc(gv.len_ox 	* sizeof(double)		);
 		sp.SS[n].Comp_wt 		= malloc(gv.len_ox 	* sizeof(double)		);
+		sp.PP[n].Comp_apfu		= malloc(gv.len_ox 	* sizeof(double)		);
+		sp.SS[n].Comp_apfu		= malloc(gv.len_ox 	* sizeof(double)		);        
 		sp.SS[n].compVariables	= malloc(gv.len_ox*3   * sizeof(double)	    );
         sp.SS[n].siteFractions	= malloc(gv.len_ox*3   * sizeof(double)	    );
 		sp.SS[n].emFrac			= malloc((gv.len_ox*3) * sizeof(double)		);
@@ -146,6 +148,7 @@ stb_system SP_INIT_function(stb_system sp, global_variable gv){
 		sp.SS[n].emNames 	    = malloc((gv.len_ox*3) * sizeof(char*)		);
 		sp.SS[n].emComp 	    = malloc((gv.len_ox*3) * sizeof(double*)	);
 		sp.SS[n].emComp_wt 	    = malloc((gv.len_ox*3) * sizeof(double*)	);
+        sp.SS[n].emComp_apfu    = malloc((gv.len_ox*3) * sizeof(double*)	);
 
 		for (int i = 0; i < gv.len_ox*3; i++){
             sp.SS[n].compVariablesNames[i]		= malloc(20 * sizeof(char)	);
@@ -153,6 +156,7 @@ stb_system SP_INIT_function(stb_system sp, global_variable gv){
 			sp.SS[n].emNames[i]		= malloc(20 * sizeof(char)				);
 			sp.SS[n].emComp[i]		= malloc(gv.len_ox * sizeof(double)		);		
 			sp.SS[n].emComp_wt[i]	= malloc(gv.len_ox * sizeof(double)		);		
+            sp.SS[n].emComp_apfu[i]	= malloc(gv.len_ox * sizeof(double)		);		
 		}
 	}
     
@@ -1179,6 +1183,53 @@ SS_ref G_SS_um_po_init_function(SS_ref SS_ref_db,  global_variable gv){
 }
 
 
+/**
+    allocate memory for pl4tr
+*/
+SS_ref G_SS_ume_pl4tr_init_function(SS_ref SS_ref_db, global_variable gv){
+    
+    SS_ref_db.is_liq    = 0;
+    SS_ref_db.symmetry  = 1;
+    SS_ref_db.n_sf      = 4;
+    SS_ref_db.n_em      = 2;
+    SS_ref_db.n_w       = 1;
+    SS_ref_db.n_xeos    = 1;
+    
+    return SS_ref_db;
+}
+
+/**
+    allocate memory for hb
+*/
+SS_ref G_SS_ume_hb_init_function(SS_ref SS_ref_db, global_variable gv){
+    
+    SS_ref_db.is_liq    = 0;
+    SS_ref_db.symmetry  = 0;
+    SS_ref_db.n_sf      = 14;
+    SS_ref_db.n_em      = 9;
+    SS_ref_db.n_v       = 9;
+    SS_ref_db.n_w       = 36;
+    SS_ref_db.n_xeos    = 8;
+    
+    return SS_ref_db;
+}
+
+/**
+    allocate memory for aug
+*/
+SS_ref G_SS_ume_aug_init_function(SS_ref SS_ref_db, global_variable gv){
+    
+    SS_ref_db.is_liq    = 0;
+    SS_ref_db.symmetry  = 0;
+    SS_ref_db.n_sf      = 12;
+    SS_ref_db.n_em      = 8;
+    SS_ref_db.n_v       = 8;
+    SS_ref_db.n_w       = 28;
+    SS_ref_db.n_xeos    = 7;
+    
+    return SS_ref_db;
+}
+
 void TC_SS_init_mp(	                SS_init_type 		*SS_init,
 									global_variable 	 gv				){
 
@@ -1350,6 +1401,47 @@ void TC_SS_init_um(	                SS_init_type 		*SS_init,
 }
 
 
+void TC_SS_init_um_ext(	            SS_init_type 		*SS_init,
+									global_variable 	 gv				){
+						 
+	for (int iss = 0; iss < gv.len_ss; iss++){
+
+		if      (strcmp( gv.SS_list[iss], "fl")  == 0 ){
+			SS_init[iss]  = G_SS_um_fluid_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "ol")  == 0){
+			SS_init[iss]  = G_SS_um_ol_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "br") == 0){
+			SS_init[iss]  = G_SS_um_br_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "ch")  == 0){
+			SS_init[iss]  = G_SS_um_ch_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "atg")  == 0){
+			SS_init[iss]  = G_SS_um_atg_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "g")   == 0){
+			SS_init[iss]  = G_SS_um_g_init_function; 	}
+		else if (strcmp( gv.SS_list[iss], "ta")  == 0){
+			SS_init[iss]  = G_SS_um_ta_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "chl") == 0){
+			SS_init[iss]  = G_SS_um_chl_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "anth") == 0){
+			SS_init[iss]  = G_SS_um_anth_init_function; 	}
+		else if (strcmp( gv.SS_list[iss], "spi")  == 0){
+			SS_init[iss]  = G_SS_um_spi_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "opx") == 0){
+			SS_init[iss]  = G_SS_um_opx_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "po") == 0){
+			SS_init[iss]  = G_SS_um_po_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "pl4tr")  == 0){
+			SS_init[iss]  = G_SS_ume_pl4tr_init_function; 	}
+		else if (strcmp( gv.SS_list[iss], "hb") == 0){
+			SS_init[iss]  = G_SS_ume_hb_init_function; 		}
+		else if (strcmp( gv.SS_list[iss], "aug") == 0){
+			SS_init[iss]  = G_SS_ume_aug_init_function; 	}
+		else{
+			printf("\nsolid solution '%s' is not in the database, cannot be initiated\n", gv.SS_list[iss]);	
+		}	
+	};						 
+}
+
 void TC_SS_init(	        	    SS_init_type 		*SS_init,
 									global_variable 	 gv				){
 
@@ -1369,7 +1461,10 @@ void TC_SS_init(	        	    SS_init_type 		*SS_init,
 		TC_SS_init_um(	 				    SS_init,
 											gv							);
 	}
-
+	else if (gv.EM_database == 5){			// ultramafic database //
+		TC_SS_init_um_ext(	 				SS_init,
+											gv							);
+	}
 }
 
 
diff --git a/src/TC_database/gss_init_function.h b/src/TC_database/gss_init_function.h
index 21297cc..48b4742 100644
--- a/src/TC_database/gss_init_function.h
+++ b/src/TC_database/gss_init_function.h
@@ -24,6 +24,8 @@ void TC_SS_init_ig(	                SS_init_type 		*SS_init,
 									global_variable 	 gv				);
 void TC_SS_init_um(	                SS_init_type 		*SS_init,
 									global_variable 	 gv				);
+void TC_SS_init_um_ext(	            SS_init_type 		*SS_init,
+									global_variable 	 gv				);
 void TC_SS_init(	        	    SS_init_type 		*SS_init,
 									global_variable 	 gv				);
 
diff --git a/src/TC_database/objective_functions.c b/src/TC_database/objective_functions.c
index 7615e9a..224d080 100644
--- a/src/TC_database/objective_functions.c
+++ b/src/TC_database/objective_functions.c
@@ -67,7 +67,7 @@ void p2x_mb_hb(void *SS_ref_db, double eps){
     d->iguess[3]   = d->p[2] + d->p[9];
     d->iguess[4]   = d->p[9]/(d->p[2] + d->p[9]);
     d->iguess[5]   = d->iguess[3] + d->p[0] + d->p[1] + d->iguess[7];
-    d->iguess[1]   = -0.5*d->iguess[3] + d->iguess[5] - 1.0*d->iguess[6] - 1.0*d->p[0] - 1.0*d->iguess[7] + d->iguess[2];
+    d->iguess[1]   = -0.5*d->iguess[3] + d->iguess[5] -d->iguess[6] -d->p[0] -d->iguess[7] + d->iguess[2];
     d->iguess[0]  = (5.0*d->iguess[5] + 5.0*d->p[4] - 2.0*d->p[5] + d->p[6] + 5.0*d->iguess[2] - 5.0)/(2.0*d->iguess[5] + 2.0*d->iguess[6] + 2.0*d->iguess[7] + 2.0*d->iguess[1] + 2.0*d->iguess[2] - 7.0);
     d->iguess[8]  = -0.4*d->iguess[5]*d->iguess[0] + 2.0*d->iguess[5] - 0.4*d->iguess[6]*d->iguess[0] + 2.0*d->p[4] - 0.4*d->p[5] + 1.2*d->p[6] - 0.4*d->iguess[7]*d->iguess[0] - 0.4*d->iguess[0]*d->iguess[1] - 0.4*d->iguess[0]*d->iguess[2] + 2.4*d->iguess[0] + 2.0*d->iguess[2] - 2.0;
     d->iguess[9]  = (-2.0*d->iguess[5]*d->iguess[0] + 5.0*d->iguess[5] + 5.0*d->p[4] + 3.0*d->p[6] - 2.0*d->iguess[0]*d->iguess[2] + 5.0*d->iguess[0] + 5.0*d->iguess[2] - 5.0)/(2.0*d->iguess[6] + 2.0*d->iguess[7] + 2.0*d->iguess[1] - 2.0);
@@ -94,7 +94,7 @@ void p2x_mb_aug(void *SS_ref_db, double eps){
     d->iguess[4]    = d->iguess[2] + d->p[3];
     d->iguess[3]    = d->p[0] + d->iguess[1];
     d->iguess[0]   = (2.0*d->iguess[4] + 2.0*d->p[1] + d->p[7] + 2.0*d->iguess[3] - 2.0)/(2.0*d->iguess[4] + d->iguess[1] + d->iguess[3] - 2.0);
-    d->iguess[5]   = (4.0*d->iguess[4]*d->p[1] + 4.0*d->iguess[4]*d->p[2] + 2.0*d->iguess[4]*d->p[7] + 4.0*d->iguess[4]*d->iguess[1] + 4.0*d->iguess[4]*d->iguess[3] - 8.0*d->iguess[4] + 4.0*d->iguess[4]*d->iguess[4] + 4.0*d->p[1]*d->iguess[1] - 4.0*d->p[1] + 2.0*d->p[2]*d->iguess[1] + 2.0*d->p[2]*d->iguess[3] - 4.0*d->p[2] + 2.0*d->p[7]*d->iguess[1] - 2.0*d->p[7] + 4.0*d->iguess[1]*d->iguess[3] - 4.0*d->iguess[1] - 4.0*d->iguess[3] + 4.0)/(d->iguess[4]*d->iguess[1] + 3.0*d->iguess[4]*d->iguess[3] - 4.0*d->iguess[4] + 2.0*d->iguess[4]*d->iguess[4] + d->iguess[1]*d->iguess[3] - 1.0*d->iguess[1] - 3.0*d->iguess[3] + d->iguess[3]*d->iguess[3] + 2.0);
+    d->iguess[5]   = (4.0*d->iguess[4]*d->p[1] + 4.0*d->iguess[4]*d->p[2] + 2.0*d->iguess[4]*d->p[7] + 4.0*d->iguess[4]*d->iguess[1] + 4.0*d->iguess[4]*d->iguess[3] - 8.0*d->iguess[4] + 4.0*d->iguess[4]*d->iguess[4] + 4.0*d->p[1]*d->iguess[1] - 4.0*d->p[1] + 2.0*d->p[2]*d->iguess[1] + 2.0*d->p[2]*d->iguess[3] - 4.0*d->p[2] + 2.0*d->p[7]*d->iguess[1] - 2.0*d->p[7] + 4.0*d->iguess[1]*d->iguess[3] - 4.0*d->iguess[1] - 4.0*d->iguess[3] + 4.0)/(d->iguess[4]*d->iguess[1] + 3.0*d->iguess[4]*d->iguess[3] - 4.0*d->iguess[4] + 2.0*d->iguess[4]*d->iguess[4] + d->iguess[1]*d->iguess[3] -d->iguess[1] - 3.0*d->iguess[3] + d->iguess[3]*d->iguess[3] + 2.0);
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -115,9 +115,9 @@ void p2x_mb_dio(void *SS_ref_db, double eps){
     d->iguess[4]  = 0.5*d->p[6];
     d->iguess[3]  = 0.5*d->p[4];
     d->iguess[1]    = d->iguess[3] + d->p[0] + d->p[3] + 2.0*d->iguess[4];
-    d->iguess[5]   = (d->iguess[3]*d->p[2] + 0.5*d->iguess[3]*d->p[5] + 0.5*d->iguess[1]*d->p[5] - 0.5*d->p[5])/(d->iguess[3]*d->iguess[1] - 1.0*d->iguess[3] - 2.0*d->iguess[1] + d->iguess[1]*d->iguess[1] + 1.0);
-    d->iguess[0]   = (-1.0*d->iguess[3]*d->iguess[5] - 1.0*d->iguess[1]*d->iguess[5] + 0.5*d->p[5] + d->iguess[5])/d->iguess[3];
-    d->iguess[2]    = (-1.0*d->iguess[3] + d->iguess[1] - 1.0*d->p[0] - 1.0*d->iguess[4])/d->iguess[1];
+    d->iguess[5]   = (d->iguess[3]*d->p[2] + 0.5*d->iguess[3]*d->p[5] + 0.5*d->iguess[1]*d->p[5] - 0.5*d->p[5])/(d->iguess[3]*d->iguess[1] -d->iguess[3] - 2.0*d->iguess[1] + d->iguess[1]*d->iguess[1] + 1.0);
+    d->iguess[0]   = (-d->iguess[3]*d->iguess[5] -d->iguess[1]*d->iguess[5] + 0.5*d->p[5] + d->iguess[5])/d->iguess[3];
+    d->iguess[2]    = (-d->iguess[3] + d->iguess[1] -d->p[0] -d->iguess[4])/d->iguess[1];
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -138,8 +138,8 @@ void p2x_mb_opx(void *SS_ref_db, double eps){
     d->iguess[1]  = d->p[3];
     d->iguess[2]  = d->p[4];
     d->iguess[3]  = d->p[5];
-    d->iguess[0]  = (d->iguess[3] + d->iguess[2] + d->p[0] - 1.0*d->p[1] + d->iguess[1] - 1.0)/(d->iguess[3] + d->iguess[2] + d->iguess[1] - 2.0);
-    d->iguess[4]  = (-1.0*d->iguess[3]*d->iguess[0] + d->iguess[2]*d->iguess[0] - 1.0*d->p[2] + d->iguess[0]*d->iguess[1])/(d->iguess[3] - 1.0);
+    d->iguess[0]  = (d->iguess[3] + d->iguess[2] + d->p[0] -d->p[1] + d->iguess[1] - 1.0)/(d->iguess[3] + d->iguess[2] + d->iguess[1] - 2.0);
+    d->iguess[4]  = (-d->iguess[3]*d->iguess[0] + d->iguess[2]*d->iguess[0] -d->p[2] + d->iguess[0]*d->iguess[1])/(d->iguess[3] - 1.0);
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -159,7 +159,7 @@ void p2x_mb_g(void *SS_ref_db, double eps){
     
     d->iguess[2]  = d->p[3];
     d->iguess[1]  = d->p[2];
-    d->iguess[0]  = d->p[1]/(1.0 - 1.0*d->iguess[1]);
+    d->iguess[0]  = d->p[1]/(1.0 -d->iguess[1]);
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -250,7 +250,7 @@ void p2x_mb_k4tr(void *SS_ref_db, double eps){
 void p2x_mb_spn(void *SS_ref_db, double eps){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     
-    d->iguess[1]  = 1.0 - 1.0*d->p[2];
+    d->iguess[1]  = 1.0 -d->p[2];
     d->iguess[0]  = (d->p[0] + 2.0*d->p[2])/(d->p[2] + 1.0);
     
     for (int i = 0; i < d->n_xeos; i++){
@@ -269,8 +269,8 @@ void p2x_mb_sp(void *SS_ref_db, double eps){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     
     d->iguess[2]   = d->p[3];
-    d->iguess[1]  = -1.0*d->p[2] - 1.0*d->iguess[2] + 1.0;
-    d->iguess[0]  = (-1.0*d->p[1] + d->iguess[2] + 1.0)/(d->iguess[2] + 1.0);
+    d->iguess[1]  = -d->p[2] -d->iguess[2] + 1.0;
+    d->iguess[0]  = (-d->p[1] + d->iguess[2] + 1.0)/(d->iguess[2] + 1.0);
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -308,7 +308,7 @@ void p2x_mb_ilmm(void *SS_ref_db, double eps){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     
     d->iguess[2]   = d->p[0];
-    d->iguess[0]  = 1.0 - 1.0*d->p[2];
+    d->iguess[0]  = 1.0 -d->p[2];
     d->iguess[1]   = d->p[3];
     
     for (int i = 0; i < d->n_xeos; i++){
@@ -349,7 +349,7 @@ void p2x_mb_bi(void *SS_ref_db, double eps){
     d->iguess[2]  = d->p[5];
     d->iguess[3]  = d->p[4];
     d->iguess[1]  = d->p[3];
-    d->iguess[0]  = (-3.0*d->p[1] - 1.0*d->p[2])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 3.0);
+    d->iguess[0]  = (-3.0*d->p[1] -d->p[2])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 3.0);
     d->iguess[4]  = 1.5*d->iguess[2]*d->iguess[0] - 1.5*d->iguess[2] + 1.5*d->p[0] + 1.5*d->iguess[3]*d->iguess[0] - 1.5*d->iguess[3] + 1.5*d->iguess[0]*d->iguess[1] - 1.5*d->iguess[0] - 1.5*d->iguess[1] + 1.5;
     
     for (int i = 0; i < d->n_xeos; i++){
@@ -393,9 +393,9 @@ void p2x_mb_chl(void *SS_ref_db, double eps){
     d->iguess[2]  = d->p[6];
     d->iguess[3]  = 0.5*d->p[0] + 0.5*d->p[3];
     d->iguess[1]  = d->p[2] + d->iguess[3];
-    d->iguess[5]  = (5.0*d->iguess[2]*d->p[0] + d->iguess[2]*d->p[1] - 3.0*d->iguess[2]*d->p[4] - 8.0*d->iguess[2]*d->iguess[3] + 2.0*d->iguess[2]*d->iguess[1] - 2.0*d->iguess[2] + d->iguess[2]*d->iguess[2] + 5.0*d->p[0]*d->iguess[3] + 5.0*d->p[0]*d->iguess[1] - 5.0*d->p[0] + d->p[1]*d->iguess[3] + d->p[1]*d->iguess[1] - 1.0*d->p[1] - 4.0*d->p[4]*d->iguess[3] - 2.0*d->p[4]*d->iguess[1] - 2.0*d->p[4] - 8.0*d->iguess[3]*d->iguess[1] + 8.0*d->iguess[3] - 9.0*d->iguess[3]*d->iguess[3] - 2.0*d->iguess[1] + d->iguess[1]*d->iguess[1] + 1.0)/(d->iguess[2]*d->iguess[3] + 3.0*d->iguess[2]*d->iguess[1] - 7.0*d->iguess[2] + d->iguess[2]*d->iguess[2] + 2.0*d->iguess[3]*d->iguess[1] - 6.0*d->iguess[3] - 8.0*d->iguess[1] + 2.0*d->iguess[1]*d->iguess[1] + 6.0);
-    d->iguess[0]  = (d->iguess[2]*d->iguess[5] - 1.0*d->p[4] + d->iguess[5]*d->iguess[3] + d->iguess[5]*d->iguess[1] - 1.0*d->iguess[5])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 1.0);
-    d->iguess[4]  = (d->iguess[2]*d->iguess[5] - 0.8*d->iguess[2]*d->iguess[0] - 0.8*d->p[5] + d->iguess[5]*d->iguess[3] + d->iguess[5]*d->iguess[1] - 1.0*d->iguess[5] - 1.6*d->iguess[0]*d->iguess[1] + 0.8*d->iguess[0])/(d->iguess[3] - 1.0*d->iguess[1] + 1.0);
+    d->iguess[5]  = (5.0*d->iguess[2]*d->p[0] + d->iguess[2]*d->p[1] - 3.0*d->iguess[2]*d->p[4] - 8.0*d->iguess[2]*d->iguess[3] + 2.0*d->iguess[2]*d->iguess[1] - 2.0*d->iguess[2] + d->iguess[2]*d->iguess[2] + 5.0*d->p[0]*d->iguess[3] + 5.0*d->p[0]*d->iguess[1] - 5.0*d->p[0] + d->p[1]*d->iguess[3] + d->p[1]*d->iguess[1] -d->p[1] - 4.0*d->p[4]*d->iguess[3] - 2.0*d->p[4]*d->iguess[1] - 2.0*d->p[4] - 8.0*d->iguess[3]*d->iguess[1] + 8.0*d->iguess[3] - 9.0*d->iguess[3]*d->iguess[3] - 2.0*d->iguess[1] + d->iguess[1]*d->iguess[1] + 1.0)/(d->iguess[2]*d->iguess[3] + 3.0*d->iguess[2]*d->iguess[1] - 7.0*d->iguess[2] + d->iguess[2]*d->iguess[2] + 2.0*d->iguess[3]*d->iguess[1] - 6.0*d->iguess[3] - 8.0*d->iguess[1] + 2.0*d->iguess[1]*d->iguess[1] + 6.0);
+    d->iguess[0]  = (d->iguess[2]*d->iguess[5] -d->p[4] + d->iguess[5]*d->iguess[3] + d->iguess[5]*d->iguess[1] -d->iguess[5])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 1.0);
+    d->iguess[4]  = (d->iguess[2]*d->iguess[5] - 0.8*d->iguess[2]*d->iguess[0] - 0.8*d->p[5] + d->iguess[5]*d->iguess[3] + d->iguess[5]*d->iguess[1] -d->iguess[5] - 1.6*d->iguess[0]*d->iguess[1] + 0.8*d->iguess[0])/(d->iguess[3] -d->iguess[1] + 1.0);
     
     for (int i = 0; i < d->n_xeos; i++){
         if (d->iguess[i] < d->bounds[i][0]){
@@ -569,7 +569,7 @@ void dpdx_mb_spn(void *SS_ref_db, const double *x){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     double **dp_dx = d->dp_dx;
 
-    dp_dx[0][0] = 2.0 - 1.0*x[1];      dp_dx[0][1] = 2.0 - 1.0*x[0];      
+    dp_dx[0][0] = 2.0 -x[1];      dp_dx[0][1] = 2.0 -x[0];      
     dp_dx[1][0] = x[1] - 2.0;      dp_dx[1][1] = x[0] - 1.0;      
     dp_dx[2][0] = 0.0;      dp_dx[2][1] = -1.0;      
 }
@@ -689,7 +689,7 @@ void px_mb_liq(void *SS_ref_db, const double *x){
         p[4]           = x[4]*(x[7] + 1.0) -x[7];
         p[5]           = x[5]*x[6]*(x[7] + 1.0);
         p[6]           = x[5]*(1.0 -x[6])*(x[7] + 1.0);
-        p[7]           = x[7] + (x[7] + 1.0)*(-1.0*x[0] -x[1] -x[3] -x[4] -x[5]) + 1.0;
+        p[7]           = x[7] + (x[7] + 1.0)*(-x[0] -x[1] -x[3] -x[4] -x[5]) + 1.0;
         p[8]           = x[7];
 }
 
@@ -827,9 +827,9 @@ void px_mb_k4tr(void *SS_ref_db, const double *x){
 void px_mb_spn(void *SS_ref_db, const double *x){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     double *p = d->p;
-        p[0]           = -1.0*x[0]*x[1] + 2.0*x[0] + 2.0*x[1] - 2.0;
-        p[1]           = (1.0 - 1.0*x[0])*(2.0 - 1.0*x[1]);
-        p[2]           = 1.0 - 1.0*x[1];
+        p[0]           = -x[0]*x[1] + 2.0*x[0] + 2.0*x[1] - 2.0;
+        p[1]           = (1.0 -x[0])*(2.0 -x[1]);
+        p[2]           = 1.0 -x[1];
 }  
 /**
     Endmember fraction of sp
@@ -962,7 +962,7 @@ double obj_mb_liq(unsigned n, const double *x, double *grad, void *SS_ref_db){
     sf[3]          = x[1]*(1.0 -x[2])*(x[7] + 1.0);
     sf[4]          = x[3]*(x[7] + 1.0) - x[7];
     sf[5]          = x[4]*(x[7] + 1.0) - x[7];
-    sf[6]          = x[7] +(x[7] + 1.0)*(-1.0*x[0] -x[1] -x[3] -x[4] -x[5]) + 1.0;
+    sf[6]          = x[7] +(x[7] + 1.0)*(-x[0] -x[1] -x[3] -x[4] -x[5]) + 1.0;
     sf[7]          = x[7];
     sf[8]          = x[5]*(x[7] + 1.0);
     sf[9]          = x[6];
@@ -1762,10 +1762,10 @@ double obj_mb_spn(unsigned n, const double *x, double *grad, void *SS_ref_db){
         }
     }
     
-    sf[0]          = 1.0*x[1];
+    sf[0]          =x[1];
     sf[1]          = 1.0 - x[1];
     sf[2]          = 1.0 - x[0];
-    sf[3]          = 1.0*x[0];
+    sf[3]          =x[0];
     
     
     mu[0]          = gb[0] + R*T*creal(clog(sf[0]*sf[3])) + mu_Gex[0];
@@ -2492,6 +2492,55 @@ void dpdx_um_po(void *SS_ref_db, const double *x){
     dp_dx[1][0] = -8.0;      
 }
 
+/**
+    Update dpdx matrix of pl4tr
+*/
+void dpdx_ume_pl4tr(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double **dp_dx = d->dp_dx;
+
+    dp_dx[0][0] = -1.00;      
+    dp_dx[1][0] = 1.00;      
+}
+
+
+/**
+    Update dpdx matrix of hb
+*/
+void dpdx_ume_hb(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double **dp_dx = d->dp_dx;
+
+    dp_dx[0][0] = 0.0;      dp_dx[0][1] = -1.00;      dp_dx[0][2] = 1.00;      dp_dx[0][3] = -0.500;      dp_dx[0][4] = 1.00;      dp_dx[0][5] = -1.00;      dp_dx[0][6] = 0.0;      dp_dx[0][7] = 0.0;      
+    dp_dx[1][0] = 0.0;      dp_dx[1][1] = 1.00;      dp_dx[1][2] = -1.00;      dp_dx[1][3] = -0.500;      dp_dx[1][4] = 0.0;      dp_dx[1][5] = 1.00;      dp_dx[1][6] = 0.0;      dp_dx[1][7] = 0.0;      
+    dp_dx[2][0] = 0.0;      dp_dx[2][1] = 0.0;      dp_dx[2][2] = 0.0;      dp_dx[2][3] = 1.00;      dp_dx[2][4] = 0.0;      dp_dx[2][5] = 0.0;      dp_dx[2][6] = 0.0;      dp_dx[2][7] = 0.0;      
+    dp_dx[3][0] = 0.0;      dp_dx[3][1] = 0.0;      dp_dx[3][2] = 1.00;      dp_dx[3][3] = 0.0;      dp_dx[3][4] = 0.0;      dp_dx[3][5] = -1.00;      dp_dx[3][6] = 0.0;      dp_dx[3][7] = 0.0;      
+    dp_dx[4][0] = x[2] + x[4] - 1.0;      dp_dx[4][1] = x[7];      dp_dx[4][2] = x[0] - 1.0;      dp_dx[4][3] = 0.0;      dp_dx[4][4] = x[0] - 1.0;      dp_dx[4][5] = x[7];      dp_dx[4][6] = -1.50;      dp_dx[4][7] = x[1] + x[5] - 1.0;      
+    dp_dx[5][0] = -x[1] + x[2] + x[4] -x[5] + 1.0;      dp_dx[5][1] = -x[0] + 2.0*x[7];      dp_dx[5][2] = x[0];      dp_dx[5][3] = 0.0;      dp_dx[5][4] = x[0];      dp_dx[5][5] = -x[0] + 2.0*x[7];      dp_dx[5][6] = -2.50;      dp_dx[5][7] = 2.0*x[1] + 2.0*x[5] - 2.0;      
+    dp_dx[6][0] = -x[2] -x[4];      dp_dx[6][1] = -x[7];      dp_dx[6][2] = -x[0];      dp_dx[6][3] = 0.0;      dp_dx[6][4] = -x[0];      dp_dx[6][5] = -x[7];      dp_dx[6][6] = 2.50;      dp_dx[6][7] = -x[1] -x[5] + 1.0;      
+    dp_dx[7][0] = x[1] -x[2] -x[4] + x[5];      dp_dx[7][1] = x[0] - 2.0*x[7];      dp_dx[7][2] = -x[0];      dp_dx[7][3] = 0.0;      dp_dx[7][4] = -x[0];      dp_dx[7][5] = x[0] - 2.0*x[7];      dp_dx[7][6] = 1.50;      dp_dx[7][7] = -2.0*x[1] - 2.0*x[5] + 2.0;      
+    dp_dx[8][0] = 0.0;      dp_dx[8][1] = 0.0;      dp_dx[8][2] = 0.0;      dp_dx[8][3] = 0.0;      dp_dx[8][4] = 0.0;      dp_dx[8][5] = 1.00;      dp_dx[8][6] = 0.0;      dp_dx[8][7] = 0.0;      
+}
+
+
+/**
+    Update dpdx matrix of aug
+*/
+void dpdx_ume_aug(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double **dp_dx = d->dp_dx;
+
+    dp_dx[0][0] = 0.0;      dp_dx[0][1] = -1.00;      dp_dx[0][2] = 0.0;      dp_dx[0][3] = 1.00;      dp_dx[0][4] = 0.0;      dp_dx[0][5] = 0.0;      dp_dx[0][6] = 0.0;      
+    dp_dx[1][0] = x[3] + x[4] - 1.0;      dp_dx[1][1] = 0.0;      dp_dx[1][2] = 0.0;      dp_dx[1][3] = x[0] + 0.5*x[5] - 1.0;      dp_dx[1][4] = x[0] + 0.5*x[5] - 1.0;      dp_dx[1][5] = 0.5*x[3] + 0.5*x[4] - 0.5;      dp_dx[1][6] = 0.0;      
+    dp_dx[2][0] = -x[1] -x[4] + 1.0;      dp_dx[2][1] = -x[0];      dp_dx[2][2] = 0.0;      dp_dx[2][3] = 0.5*x[5];      dp_dx[2][4] = -x[0] + 0.5*x[5];      dp_dx[2][5] = 0.5*x[3] + 0.5*x[4] - 0.5;      dp_dx[2][6] = 0.0;      
+    dp_dx[3][0] = 0.0;      dp_dx[3][1] = 0.0;      dp_dx[3][2] = -1.00;      dp_dx[3][3] = 0.0;      dp_dx[3][4] = 1.00;      dp_dx[3][5] = 0.0;      dp_dx[3][6] = 0.0;      
+    dp_dx[4][0] = 0.0;      dp_dx[4][1] = 0.0;      dp_dx[4][2] = 1.00;      dp_dx[4][3] = 0.0;      dp_dx[4][4] = 0.0;      dp_dx[4][5] = 0.0;      dp_dx[4][6] = 0.0;      
+    dp_dx[5][0] = 0.0;      dp_dx[5][1] = 0.0;      dp_dx[5][2] = 0.0;      dp_dx[5][3] = 0.0;      dp_dx[5][4] = 0.0;      dp_dx[5][5] = 0.0;      dp_dx[5][6] = 1.00;      
+    dp_dx[6][0] = 0.0;      dp_dx[6][1] = 1.00;      dp_dx[6][2] = 0.0;      dp_dx[6][3] = 0.0;      dp_dx[6][4] = 0.0;      dp_dx[6][5] = 0.0;      dp_dx[6][6] = -1.00;      
+    dp_dx[7][0] = x[1] -x[3];      dp_dx[7][1] = x[0];      dp_dx[7][2] = 0.0;      dp_dx[7][3] = -x[0] -x[5];      dp_dx[7][4] = -x[5];      dp_dx[7][5] = -x[3] -x[4] + 1.0;      dp_dx[7][6] = 0.0;      
+}
+
+
 //-----------------------px for ev------------------- 
 //--------------------------------------------------- 
 /**
@@ -2644,6 +2693,53 @@ void px_um_po(void *SS_ref_db, const double *x){
 }
 
 
+    
+/**
+    Endmember fraction of pl4tr
+*/
+void px_ume_pl4tr(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double *p = d->p;
+        p[0]           = 1.0 -x[0];
+        p[1]           = x[0];
+}
+
+    
+/**
+    Endmember fraction of hb
+*/
+void px_ume_hb(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double *p = d->p;
+        p[0]           = -x[1] + x[2] - 0.5*x[3] + x[4] -x[5];
+        p[1]           = x[1] -x[2] - 0.5*x[3] + x[5];
+        p[2]           = x[3];
+        p[3]           = x[2] -x[5];
+        p[4]           = x[0]*x[2] + x[0]*x[4] -x[0] + x[1]*x[7] -x[2] -x[4] + x[5]*x[7] - 1.5*x[6] -x[7] + 1.0;
+        p[5]           = -x[0]*x[1] + x[0]*x[2] + x[0]*x[4] -x[0]*x[5] + x[0] + 2.0*x[1]*x[7] + 2.0*x[5]*x[7] - 2.5*x[6] - 2.0*x[7];
+        p[6]           = -x[0]*x[2] -x[0]*x[4] -x[1]*x[7] -x[5]*x[7] + 2.5*x[6] + x[7];
+        p[7]           = x[0]*x[1] -x[0]*x[2] -x[0]*x[4] + x[0]*x[5] - 2.0*x[1]*x[7] - 2.0*x[5]*x[7] + 1.5*x[6] + 2.0*x[7];
+        p[8]           = x[5];
+}
+
+    
+/**
+    Endmember fraction of aug
+*/
+void px_ume_aug(void *SS_ref_db, const double *x){
+    SS_ref *d  = (SS_ref *) SS_ref_db;
+    double *p = d->p;
+        p[0]           = -x[1] + x[3];
+        p[1]           = x[0]*x[3] + x[0]*x[4] -x[0] + 0.5*x[3]*x[5] -x[3] + 0.5*x[4]*x[5] -x[4] - 0.5*x[5] + 1.0;
+        p[2]           = -x[0]*x[1] -x[0]*x[4] + x[0] + 0.5*x[3]*x[5] + 0.5*x[4]*x[5] - 0.5*x[5];
+        p[3]           = -x[2] + x[4];
+        p[4]           = x[2];
+        p[5]           = x[6];
+        p[6]           = x[1] -x[6];
+        p[7]           = x[0]*x[1] -x[0]*x[3] -x[3]*x[5] -x[4]*x[5] + x[5];
+}
+
+
 //-----------------------obj for ev------------------- 
 //--------------------------------------------------- 
 
@@ -2663,6 +2759,7 @@ double obj_um_fluid(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_fluid(SS_ref_db,x);
 
     
@@ -2670,7 +2767,7 @@ double obj_um_fluid(unsigned n, const double *x, double *grad, void *SS_ref_db){
     sf[1]          = 1.0 - x[0];
     
     
-    mu[0]          = gb[0] + R*T*creal(clog(sf[0]));
+    mu[0]          = gb[0] + R*T*creal(clog(sf[0] + d_em[0]));
     mu[1]          = gb[1] + R*T*creal(clog(sf[1]));
     
     d->sum_apep = 0.0;
@@ -2902,6 +2999,7 @@ double obj_um_atg(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_atg(SS_ref_db,x);
 
     double tmp = 0.0;
@@ -2933,7 +3031,7 @@ double obj_um_atg(unsigned n, const double *x, double *grad, void *SS_ref_db){
     mu[1]          = gb[1] + R*T*creal(clog(sf[1]*cpow(sf[5], 2.0)*cpow(sf[6], 2.0))) + mu_Gex[1];
     mu[2]          = gb[2] + R*T*creal(clog(sf[1]*cpow(sf[4], 2.0)*cpow(sf[6], 2.0))) + mu_Gex[2];
     mu[3]          = gb[3] + R*T*creal(clog(4.0*sf[3]*cpow(sf[4], 2.0)*sf[6]*sf[7])) + mu_Gex[3];
-    mu[4]          = gb[4] + R*T*creal(clog(4.0*sf[2]*cpow(sf[4], 2.0)*sf[6]*sf[7])) + mu_Gex[4];
+    mu[4]          = gb[4] + R*T*creal(clog(4.0*sf[2]*cpow(sf[4], 2.0)*sf[6]*sf[7] + d_em[4])) + mu_Gex[4];
     
     d->sum_apep = 0.0;
     for (int i = 0; i < n_em; i++){
@@ -3045,6 +3143,7 @@ double obj_um_ta(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_ta(SS_ref_db,x);
 
     double tmp = 0.0;
@@ -3077,7 +3176,7 @@ double obj_um_ta(unsigned n, const double *x, double *grad, void *SS_ref_db){
     mu[1]          = gb[1] + R*T*creal(clog(sf[1]*cpow(sf[4], 2.0)*cpow(sf[7], 2.0))) + mu_Gex[1];
     mu[2]          = gb[2] + R*T*creal(clog(sf[0]*cpow(sf[4], 2.0)*cpow(sf[7], 2.0))) + mu_Gex[2];
     mu[3]          = gb[3] + R*T*creal(clog(16.0*sf[0]*sf[3]*sf[6]*sf[7]*sf[8])) + mu_Gex[3];
-    mu[4]          = gb[4] + R*T*creal(clog(16.0*sf[0]*sf[3]*sf[5]*sf[7]*sf[8])) + mu_Gex[4];
+    mu[4]          = gb[4] + R*T*creal(clog(16.0*sf[0]*sf[3]*sf[5]*sf[7]*sf[8] + d_em[4])) + mu_Gex[4];
     mu[5]          = gb[5] + R*T*creal(clog(sf[2]*cpow(sf[6], 2.0)*cpow(sf[7], 2.0))) + mu_Gex[5];
     
     d->sum_apep = 0.0;
@@ -3123,6 +3222,7 @@ double obj_um_chl(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_chl(SS_ref_db,x);
 
     double tmp = 0.0;
@@ -3159,7 +3259,7 @@ double obj_um_chl(unsigned n, const double *x, double *grad, void *SS_ref_db){
     mu[3]          = gb[3] + R*T*creal(clog(4.0*sf[10]*sf[1]*cpow(sf[4], 4.0)*sf[8]*sf[9])) + mu_Gex[3];
     mu[4]          = gb[4] + R*T*creal(clog(sf[0]*cpow(sf[4], 4.0)*sf[6]*cpow(sf[9], 2.0))) + mu_Gex[4];
     mu[5]          = gb[5] + R*T*creal(clog(sf[1]*cpow(sf[3], 4.0)*sf[5]*cpow(sf[9], 2.0))) + mu_Gex[5];
-    mu[6]          = gb[6] + R*T*creal(clog(4.0*sf[0]*sf[10]*cpow(sf[3], 4.0)*sf[7]*sf[9])) + mu_Gex[6];
+    mu[6]          = gb[6] + R*T*creal(clog(4.0*sf[0]*sf[10]*cpow(sf[3], 4.0)*sf[7]*sf[9] + d_em[6])) + mu_Gex[6];
     
     d->sum_apep = 0.0;
     for (int i = 0; i < n_em; i++){
@@ -3290,6 +3390,7 @@ double obj_um_spi(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_spi(SS_ref_db,x);
 
     double tmp = 0.0;
@@ -3315,7 +3416,7 @@ double obj_um_spi(unsigned n, const double *x, double *grad, void *SS_ref_db){
     
     mu[0]          = gb[0] + R*T*creal(clog(sf[0]*sf[3])) + mu_Gex[0];
     mu[1]          = gb[1] + R*T*creal(clog(sf[0]*sf[2])) + mu_Gex[1];
-    mu[2]          = gb[2] + R*T*creal(clog(sf[1]*sf[3])) + mu_Gex[2];
+    mu[2]          = gb[2] + R*T*creal(clog(sf[1]*sf[3] + d_em[2])) + mu_Gex[2];
     
     d->sum_apep = 0.0;
     for (int i = 0; i < n_em; i++){
@@ -3360,6 +3461,7 @@ double obj_um_opx(unsigned n, const double *x, double *grad, void *SS_ref_db){
     double *mu_Gex    = d->mu_Gex;
     double *sf        = d->sf;
     double *mu        = d->mu;
+    double *d_em      = d->d_em;
     px_um_opx(SS_ref_db,x);
 
     double tmp = 0.0;
@@ -3391,7 +3493,7 @@ double obj_um_opx(unsigned n, const double *x, double *grad, void *SS_ref_db){
     mu[1]          = gb[1] + R*T*creal(clog(sf[1]*sf[5]*csqrt(sf[7]))) + mu_Gex[1];
     mu[2]          = gb[2] + R*T*creal(clog(sf[0]*sf[5]*csqrt(sf[7]))) + mu_Gex[2];
     mu[3]          = gb[3] + R*T*creal(clog(1.4142*sf[3]*sf[4]*cpow(sf[6], 0.25)*cpow(sf[7], 0.25))) + mu_Gex[3];
-    mu[4]          = gb[4] + R*T*creal(clog(1.4142*sf[2]*sf[4]*cpow(sf[6], 0.25)*cpow(sf[7], 0.25))) + mu_Gex[4];
+    mu[4]          = gb[4] + R*T*creal(clog(1.4142*sf[2]*sf[4]*cpow(sf[6], 0.25)*cpow(sf[7], 0.25) + d_em[4])) + mu_Gex[4];
     
     d->sum_apep = 0.0;
     for (int i = 0; i < n_em; i++){
@@ -3487,6 +3589,257 @@ double obj_um_po(unsigned n, const double *x, double *grad, void *SS_ref_db){
     return d->df;
 }
 
+ 
+/**
+    Objective function of pl4tr
+*/
+double obj_ume_pl4tr(unsigned n, const double *x, double *grad, void *SS_ref_db){
+    SS_ref *d         = (SS_ref *) SS_ref_db;
+
+    int n_em          = d->n_em;
+    double P          = d->P;
+    double T          = d->T;
+    double R          = d->R;
+
+    double *gb        = d->gb_lvl;
+    double *mat_phi   = d->mat_phi;
+    double *mu_Gex    = d->mu_Gex;
+    double *sf        = d->sf;
+    double *mu        = d->mu;
+    px_ume_pl4tr(SS_ref_db,x);
+
+    double tmp = 0.0;
+    double Gex = 0.0;
+    for (int i = 0; i < n_em; i++){
+        Gex = 0.0;
+        int it    = 0;
+        for (int j = 0; j < d->n_xeos; j++){
+            tmp = (d->eye[i][j] - d->p[j]);
+            for (int k = j+1; k < n_em; k++){
+                Gex -= tmp*(d->eye[i][k] - d->p[k])*(d->W[it]);
+                it += 1;
+            }
+        }
+        mu_Gex[i] = Gex;
+    }   
+    
+    sf[0]          = 1.0 - x[0];
+    sf[1]          =x[0];
+    sf[2]          = 0.25*x[0] + 0.25;
+    sf[3]          = 0.75 - 0.25*x[0];
+    
+    
+    mu[0]          = gb[0] + R*T*creal(clog(1.7547999999999999*sf[0]*cpow(sf[2], 0.25)*cpow(sf[3], 0.75))) + mu_Gex[0];
+    mu[1]          = gb[1] + R*T*creal(clog(2.0*sf[1]*csqrt(sf[2])*csqrt(sf[3]))) + mu_Gex[1];
+    
+    d->sum_apep = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->sum_apep += d->ape[i]*d->p[i];
+    }
+    d->factor = d->fbc/d->sum_apep;
+
+    d->df_raw = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->df_raw += mu[i]*d->p[i];
+    }
+    d->df = d->df_raw * d->factor;
+
+    if (grad){
+        double *dfx    = d->dfx;
+        double **dp_dx = d->dp_dx;
+        dpdx_ume_pl4tr(SS_ref_db,x);
+        for (int i = 0; i < (d->n_xeos); i++){
+            dfx[i] = 0.0;
+            for (int j = 0; j < n_em; j++){
+                dfx[i] += (mu[j] - (d->ape[j]/d->sum_apep)*d->df_raw)*d->factor*dp_dx[j][i];
+            }
+            grad[i] = creal(dfx[i]);
+        }
+    }
+
+    return d->df;
+}
+    
+/**
+    Objective function of hb
+*/
+double obj_ume_hb(unsigned n, const double *x, double *grad, void *SS_ref_db){
+    SS_ref *d         = (SS_ref *) SS_ref_db;
+
+    int n_em          = d->n_em;
+    double P          = d->P;
+    double T          = d->T;
+    double R          = d->R;
+
+    double *gb        = d->gb_lvl;
+    double *mat_phi   = d->mat_phi;
+    double *mu_Gex    = d->mu_Gex;
+    double *sf        = d->sf;
+    double *mu        = d->mu;
+    double *d_em      = d->d_em;
+    px_ume_hb(SS_ref_db,x);
+
+    d->sum_v = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->sum_v += d->p[i]*d->v[i];
+    }
+    for (int i = 0; i < n_em; i++){
+        d->mat_phi[i] = (d->p[i]*d->v[i])/d->sum_v;
+    }
+    
+    for (int i = 0; i < d->n_em; i++){
+        mu_Gex[i] = 0.0;
+        int it = 0;
+        for (int j = 0; j < d->n_xeos; j++){
+            for (int k = j+1; k < d->n_em; k++){
+                mu_Gex[i] -= (d->eye[i][j] - d->mat_phi[j])*(d->eye[i][k] - d->mat_phi[k])*(d->W[it]*2.0*d->v[i]/(d->v[j]+d->v[k]));
+                it += 1;
+            }
+        }
+    }
+    
+    sf[0]          = 1.0 - x[3];
+    sf[1]          =x[3];
+    sf[2]          = -x[0] +x[6] + 1.0;
+    sf[3]          =x[0] - x[6];
+    sf[4]          =x[0]*x[1] +x[0]*x[5] - x[0] - x[1]*x[7] - x[1] - x[5]*x[7] - x[5] +x[7] + 1.0;
+    sf[5]          = -x[0]*x[1] - x[0]*x[5] +x[0] +x[1]*x[7] +x[5]*x[7] - x[7];
+    sf[6]          =x[1];
+    sf[7]          =x[5];
+    sf[8]          =x[4];
+    sf[9]          =x[0]*x[2] +x[0]*x[4] - x[0] +x[1]*x[7] - x[2] - x[4] +x[5]*x[7] - 1.5*x[6] - x[7] + 1.0;
+    sf[10]          = -x[0]*x[2] - x[0]*x[4] +x[0] - x[1]*x[7] - x[5]*x[7] + 1.5*x[6] +x[7];
+    sf[11]          =x[2];
+    sf[12]          = -0.5*x[1] + 0.5*x[2] - 0.25*x[3] - 0.5*x[5] + 1.0;
+    sf[13]          = 0.5*x[1] - 0.5*x[2] + 0.25*x[3] + 0.5*x[5];
+    
+    
+    mu[0]          = gb[0] + R*T*creal(clog(sf[0]*sf[12]*cpow(sf[2], 3.0)*cpow(sf[4], 2.0)*cpow(sf[8], 2.0))) + mu_Gex[0];
+    mu[1]          = gb[1] + R*T*creal(clog(2.0*sf[0]*csqrt(sf[12])*csqrt(sf[13])*cpow(sf[2], 3.0)*cpow(sf[6], 2.0)*cpow(sf[8], 2.0))) + mu_Gex[1];
+    mu[2]          = gb[2] + R*T*creal(clog(8.0*csqrt(sf[12])*csqrt(sf[13])*sf[1]*cpow(sf[2], 3.0)*sf[4]*sf[6]*cpow(sf[8], 2.0))) + mu_Gex[2];
+    mu[3]          = gb[3] + R*T*creal(clog(sf[0]*cpow(sf[11], 2.0)*sf[12]*cpow(sf[2], 3.0)*cpow(sf[6], 2.0))) + mu_Gex[3];
+    mu[4]          = gb[4] + R*T*creal(clog(sf[0]*sf[12]*cpow(sf[2], 3.0)*cpow(sf[4], 2.0)*cpow(sf[9], 2.0))) + mu_Gex[4];
+    mu[5]          = gb[5] + R*T*creal(clog(sf[0]*cpow(sf[10], 2.0)*sf[12]*cpow(sf[3], 3.0)*cpow(sf[5], 2.0))) + mu_Gex[5];
+    mu[6]          = gb[6] + R*T*creal(clog(sf[0]*cpow(sf[10], 2.0)*sf[12]*cpow(sf[2], 3.0)*cpow(sf[5], 2.0))) + mu_Gex[6];
+    mu[7]          = gb[7] + R*T*creal(clog(sf[0]*cpow(sf[10], 2.0)*sf[12]*cpow(sf[3], 3.0)*cpow(sf[4], 2.0))) + mu_Gex[7];
+    mu[8]          = gb[8] + R*T*creal(clog(sf[0]*cpow(sf[11], 2.0)*sf[12]*cpow(sf[2], 3.0)*cpow(sf[7], 2.0) + d_em[8])) + mu_Gex[8];
+    
+    d->sum_apep = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->sum_apep += d->ape[i]*d->p[i];
+    }
+    d->factor = d->fbc/d->sum_apep;
+
+    d->df_raw = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->df_raw += mu[i]*d->p[i];
+    }
+    d->df = d->df_raw * d->factor;
+
+    if (grad){
+        double *dfx    = d->dfx;
+        double **dp_dx = d->dp_dx;
+        dpdx_ume_hb(SS_ref_db,x);
+        for (int i = 0; i < (d->n_xeos); i++){
+            dfx[i] = 0.0;
+            for (int j = 0; j < n_em; j++){
+                dfx[i] += (mu[j] - (d->ape[j]/d->sum_apep)*d->df_raw)*d->factor*dp_dx[j][i];
+            }
+            grad[i] = creal(dfx[i]);
+        }
+    }
+
+    return d->df;
+}
+    
+/**
+    Objective function of aug
+*/
+double obj_ume_aug(unsigned n, const double *x, double *grad, void *SS_ref_db){
+    SS_ref *d         = (SS_ref *) SS_ref_db;
+
+    int n_em          = d->n_em;
+    double P          = d->P;
+    double T          = d->T;
+    double R          = d->R;
+
+    double *gb        = d->gb_lvl;
+    double *mat_phi   = d->mat_phi;
+    double *mu_Gex    = d->mu_Gex;
+    double *sf        = d->sf;
+    double *mu        = d->mu;
+    double *d_em      = d->d_em;
+    px_ume_aug(SS_ref_db,x);
+
+    d->sum_v = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->sum_v += d->p[i]*d->v[i];
+    }
+    for (int i = 0; i < n_em; i++){
+        d->mat_phi[i] = (d->p[i]*d->v[i])/d->sum_v;
+    }
+    
+    for (int i = 0; i < d->n_em; i++){
+        mu_Gex[i] = 0.0;
+        int it = 0;
+        for (int j = 0; j < d->n_xeos; j++){
+            for (int k = j+1; k < d->n_em; k++){
+                mu_Gex[i] -= (d->eye[i][j] - d->mat_phi[j])*(d->eye[i][k] - d->mat_phi[k])*(d->W[it]*2.0*d->v[i]/(d->v[j]+d->v[k]));
+                it += 1;
+            }
+        }
+    }
+    
+    sf[0]          =x[0]*x[1] +x[0]*x[4] - x[0] - x[1] - 0.5*x[3]*x[5] - 0.5*x[4]*x[5] - x[4] + 0.5*x[5] + 1.0;
+    sf[1]          = -x[0]*x[1] - x[0]*x[4] +x[0] + 0.5*x[3]*x[5] + 0.5*x[4]*x[5] - 0.5*x[5];
+    sf[2]          =x[1] - x[2] +x[4];
+    sf[3]          =x[2];
+    sf[4]          =x[0]*x[3] +x[0]*x[4] - x[0] + 0.5*x[3]*x[5] - x[3] + 0.5*x[4]*x[5] - x[4] - 0.5*x[5] + 1.0;
+    sf[5]          = -x[0]*x[3] - x[0]*x[4] +x[0] - 0.5*x[3]*x[5] - 0.5*x[4]*x[5] + 0.5*x[5];
+    sf[6]          =x[3];
+    sf[7]          =x[4];
+    sf[8]          = -0.5*x[1] + 0.5*x[6] + 1.0;
+    sf[9]          = 0.5*x[1] - 0.5*x[6];
+    sf[10]          = -0.5*x[1] - 0.5*x[6] + 1.0;
+    sf[11]          = 0.5*x[1] + 0.5*x[6];
+    
+    
+    mu[0]          = gb[0] + R*T*creal(clog(sf[0]*cpow(sf[10], 0.25)*sf[6]*cpow(sf[8], 0.25))) + mu_Gex[0];
+    mu[1]          = gb[1] + R*T*creal(clog(sf[0]*cpow(sf[10], 0.25)*sf[4]*cpow(sf[8], 0.25))) + mu_Gex[1];
+    mu[2]          = gb[2] + R*T*creal(clog(cpow(sf[10], 0.25)*sf[1]*sf[5]*cpow(sf[8], 0.25))) + mu_Gex[2];
+    mu[3]          = gb[3] + R*T*creal(clog(cpow(sf[10], 0.25)*sf[2]*sf[7]*cpow(sf[8], 0.25))) + mu_Gex[3];
+    mu[4]          = gb[4] + R*T*creal(clog(cpow(sf[10], 0.25)*sf[3]*sf[7]*cpow(sf[8], 0.25) + d_em[4])) + mu_Gex[4];
+    mu[5]          = gb[5] + R*T*creal(clog(cpow(sf[11], 0.25)*sf[2]*sf[6]*cpow(sf[8], 0.25))) + mu_Gex[5];
+    mu[6]          = gb[6] + R*T*creal(clog(1.4141999999999999*cpow(sf[10], 0.125)*cpow(sf[11], 0.125)*sf[2]*sf[6]*cpow(sf[8], 0.125)*cpow(sf[9], 0.125))) + mu_Gex[6];
+    mu[7]          = gb[7] + R*T*creal(clog(sf[0]*cpow(sf[10], 0.25)*sf[5]*cpow(sf[8], 0.25))) + mu_Gex[7];
+    
+    d->sum_apep = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->sum_apep += d->ape[i]*d->p[i];
+    }
+    d->factor = d->fbc/d->sum_apep;
+
+    d->df_raw = 0.0;
+    for (int i = 0; i < n_em; i++){
+        d->df_raw += mu[i]*d->p[i];
+    }
+    d->df = d->df_raw * d->factor;
+
+    if (grad){
+        double *dfx    = d->dfx;
+        double **dp_dx = d->dp_dx;
+        dpdx_ume_aug(SS_ref_db,x);
+        for (int i = 0; i < (d->n_xeos); i++){
+            dfx[i] = 0.0;
+            for (int j = 0; j < n_em; j++){
+                dfx[i] += (mu[j] - (d->ape[j]/d->sum_apep)*d->df_raw)*d->factor*dp_dx[j][i];
+            }
+            grad[i] = creal(dfx[i]);
+        }
+    }
+
+    return d->df;
+}
 
 
 //-----------------------p2x for ev------------------- 
@@ -3882,7 +4235,7 @@ void dpdx_mp_cd(void *SS_ref_db, const double *x){
     double **dp_dx = d->dp_dx;
 
     dp_dx[0][0] = x[1] - 1.0;      dp_dx[0][1] = x[0] - 1.0;      dp_dx[0][2] = -1.0;      
-    dp_dx[1][0] = 1.0 - 1.0*x[1];      dp_dx[1][1] = -1.0*x[0];      dp_dx[1][2] = 0.0;      
+    dp_dx[1][0] = 1.0 -x[1];      dp_dx[1][1] = -x[0];      dp_dx[1][2] = 0.0;      
     dp_dx[2][0] = 0.0;      dp_dx[2][1] = 0.0;      dp_dx[2][2] = 1.0;      
     dp_dx[3][0] = 0.0;      dp_dx[3][1] = 1.00;      dp_dx[3][2] = 0.0;      
 }
@@ -4109,8 +4462,8 @@ void px_mp_sa(void *SS_ref_db, const double *x){
 void px_mp_cd(void *SS_ref_db, const double *x){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     double *p = d->p;
-        p[0]           = x[0]*x[1] - 1.0*x[0] - 1.0*x[1] - 1.0*x[2] + 1.0;
-        p[1]           = -1.0*x[0]*x[1] + x[0];
+        p[0]           = x[0]*x[1] -x[0] -x[1] -x[2] + 1.0;
+        p[1]           = -x[0]*x[1] + x[0];
         p[2]           = x[2];
         p[3]           = x[1];
 }
@@ -4176,8 +4529,8 @@ void px_mp_ilm(void *SS_ref_db, const double *x){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     double *p = d->p;
         p[0]           = x[1];
-        p[1]           = x[0] - 1.0*x[1];
-        p[2]           = 1.0 - 1.0*x[0];
+        p[1]           = x[0] -x[1];
+        p[2]           = 1.0 -x[0];
 }
  
 /**
@@ -4979,10 +5332,10 @@ double obj_mp_cd(unsigned n, const double *x, double *grad, void *SS_ref_db){
         }
     }
     
-    sf[0]          = -x[0]*x[1] + 1.0*x[0];
-    sf[1]          = 1.0*x[0]*x[1] - x[0] - x[1] + 1.0;
-    sf[2]          = 1.0*x[1];
-    sf[3]          = 1.0*x[2];
+    sf[0]          = -x[0]*x[1] +x[0];
+    sf[1]          =x[0]*x[1] - x[0] - x[1] + 1.0;
+    sf[2]          =x[1];
+    sf[3]          =x[2];
     sf[4]          = 1.0 - x[2];
     
     
@@ -5427,8 +5780,8 @@ double obj_mp_ilmm(unsigned n, const double *x, double *grad, void *SS_ref_db){
     
     sf[0]          = 0.5*x[0] - 0.5*x[1] - 0.5*x[2] + 0.5*x[3];
     sf[1]          = 0.5*x[0] - 0.5*x[1] - 0.5*x[2] - 0.5*x[3];
-    sf[2]          = 1.0*x[1];
-    sf[3]          = 1.0*x[2];
+    sf[2]          =x[1];
+    sf[3]          =x[2];
     sf[4]          = 1.0 - x[0];
     sf[5]          = 0.5*x[0] - 0.5*x[1] - 0.5*x[2] - 0.5*x[3];
     sf[6]          = 0.5*x[0] + 0.5*x[1] + 0.5*x[2] + 0.5*x[3];
@@ -5570,7 +5923,7 @@ void p2x_ig_bi(void *SS_ref_db, double eps){
     d->iguess[2]  = d->p[5];
     d->iguess[3]  = d->p[4];
     d->iguess[1]  = d->p[3];
-    d->iguess[0]  = (-3.0*d->p[1] - 1.0*d->p[2])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 3.0);
+    d->iguess[0]  = (-3.0*d->p[1] -d->p[2])/(d->iguess[2] + d->iguess[3] + d->iguess[1] - 3.0);
     d->iguess[4]  = 1.5*d->iguess[2]*d->iguess[0] - 1.5*d->iguess[2] - 1.5*d->p[0] + 1.5*d->iguess[3]*d->iguess[0] - 1.5*d->iguess[3] + 1.5*d->iguess[0]*d->iguess[1] - 1.5*d->iguess[0] - 1.5*d->iguess[1] + 1.5;
     
     for (int i = 0; i < d->n_xeos; i++){
@@ -6534,7 +6887,7 @@ void dpdx_ig_spn(void *SS_ref_db, const double *x){
 void px_ig_fper(void *SS_ref_db, const double *x){
     SS_ref *d  = (SS_ref *) SS_ref_db;
     double *p = d->p;
-        p[0]           = 1.0 - 1.0*x[0];
+        p[0]           = 1.0 -x[0];
         p[1]           = x[0];
 }
 
@@ -6782,7 +7135,7 @@ double obj_ig_fper(unsigned n, const double *x, double *grad, void *SS_ref_db){
         mu_Gex[i] = Gex;
     }   
   
-    sf[0]          = 1.0*x[0];
+    sf[0]          =x[0];
     sf[1]          = 1.0 - x[0];
     
     mu[0]          = gb[0] + R*T*creal(clog(sf[1])) + mu_Gex[0];
@@ -8604,6 +8957,47 @@ void TC_um_objective_init_function(	obj_type 			*SS_objective,
 }
 
 
+void TC_um_ext_objective_init_function(	obj_type 			*SS_objective,
+									    global_variable 	 gv				){	
+						 
+	for (int iss = 0; iss < gv.len_ss; iss++){
+
+		if      (strcmp( gv.SS_list[iss], "fl")  == 0 ){
+			SS_objective[iss]  = obj_um_fluid; 		}
+		else if (strcmp( gv.SS_list[iss], "ol")  == 0){
+			SS_objective[iss]  = obj_um_ol; 		}
+		else if (strcmp( gv.SS_list[iss], "br") == 0){
+			SS_objective[iss]  = obj_um_br; 		}
+		else if (strcmp( gv.SS_list[iss], "ch")  == 0){
+			SS_objective[iss]  = obj_um_ch; 		}
+		else if (strcmp( gv.SS_list[iss], "atg")  == 0){
+			SS_objective[iss]  = obj_um_atg; 		}
+		else if (strcmp( gv.SS_list[iss], "g")   == 0){
+			SS_objective[iss]  = obj_um_g; 		}
+		else if (strcmp( gv.SS_list[iss], "ta")  == 0){
+			SS_objective[iss]  = obj_um_ta; 		}
+		else if (strcmp( gv.SS_list[iss], "chl") == 0){
+			SS_objective[iss]  = obj_um_chl; 		}
+		else if (strcmp( gv.SS_list[iss], "anth") == 0){
+			SS_objective[iss]  = obj_um_anth; 		}
+		else if (strcmp( gv.SS_list[iss], "spi")  == 0){
+			SS_objective[iss]  = obj_um_spi; 		}
+		else if (strcmp( gv.SS_list[iss], "opx") == 0){
+			SS_objective[iss]  = obj_um_opx; 		}
+		else if (strcmp( gv.SS_list[iss], "po") == 0){
+			SS_objective[iss]  = obj_um_po; 		}
+		else if (strcmp( gv.SS_list[iss], "pl4tr")  == 0){
+			SS_objective[iss]  = obj_ume_pl4tr; 		}
+		else if (strcmp( gv.SS_list[iss], "hb") == 0){
+			SS_objective[iss]  = obj_ume_hb; 		}
+		else if (strcmp( gv.SS_list[iss], "aug") == 0){
+			SS_objective[iss]  = obj_ume_aug; 		}
+		else{
+			printf("\nsolid solution '%s' is not in the database, cannot be initiated\n", gv.SS_list[iss]);	
+		}	
+	};			
+}
+
 void TC_SS_objective_init_function(	obj_type 			*SS_objective,
 									global_variable 	 gv				){
 
@@ -8623,7 +9017,10 @@ void TC_SS_objective_init_function(	obj_type 			*SS_objective,
 		TC_um_objective_init_function(			SS_objective,
 												gv							);
 	}
-
+	else if (gv.EM_database == 5){			// ultramafic database //
+		TC_um_ext_objective_init_function(		SS_objective,
+												gv							);
+	}
 }
 
 
@@ -8797,6 +9194,46 @@ void TC_um_PC_init(	                PC_type 			*PC_read,
     }
 }
 
+void TC_um_ext_PC_init(	                PC_type 			*PC_read,
+									global_variable 	 gv				){	
+						 
+	for (int iss = 0; iss < gv.len_ss; iss++){
+
+		if      (strcmp( gv.SS_list[iss], "fl")  == 0 ){
+			PC_read[iss]  = obj_um_fluid; 		    }
+		else if (strcmp( gv.SS_list[iss], "ol")  == 0){
+			PC_read[iss]  = obj_um_ol; 		        }
+		else if (strcmp( gv.SS_list[iss], "br") == 0){
+			PC_read[iss]  = obj_um_br; 		        }
+		else if (strcmp( gv.SS_list[iss], "ch")  == 0){
+			PC_read[iss]  = obj_um_ch; 		        }
+		else if (strcmp( gv.SS_list[iss], "atg")  == 0){
+			PC_read[iss]  = obj_um_atg; 		    }
+		else if (strcmp( gv.SS_list[iss], "g")   == 0){
+			PC_read[iss]  = obj_um_g; 		        }
+		else if (strcmp( gv.SS_list[iss], "ta")  == 0){
+			PC_read[iss]  = obj_um_ta; 		        }
+		else if (strcmp( gv.SS_list[iss], "chl") == 0){
+			PC_read[iss]  = obj_um_chl; 		    }
+		else if (strcmp( gv.SS_list[iss], "anth") == 0){
+			PC_read[iss]  = obj_um_anth; 		    }
+		else if (strcmp( gv.SS_list[iss], "spi")  == 0){
+			PC_read[iss]  = obj_um_spi; 		    }
+		else if (strcmp( gv.SS_list[iss], "opx") == 0){
+			PC_read[iss]  = obj_um_opx; 		    }
+		else if (strcmp( gv.SS_list[iss], "po") == 0){
+			PC_read[iss]  = obj_um_po; 		        }
+		else if (strcmp( gv.SS_list[iss], "pl4tr")  == 0){
+			PC_read[iss]  = obj_ume_pl4tr; 		    }
+		else if (strcmp( gv.SS_list[iss], "hb") == 0){
+			PC_read[iss]  = obj_ume_hb; 		    }
+		else if (strcmp( gv.SS_list[iss], "aug") == 0){
+			PC_read[iss]  = obj_ume_aug; 		    }
+		else{
+			printf("\nsolid solution '%s' is not in the database, cannot be initiated\n", gv.SS_list[iss]);	
+		}	
+    }
+}
 void TC_PC_init(	                PC_type 			*PC_read,
 									global_variable 	 gv				){
 
@@ -8816,6 +9253,10 @@ void TC_PC_init(	                PC_type 			*PC_read,
 		TC_um_PC_init(			PC_read,
 												gv							);
 	}
+	else if (gv.EM_database == 5){			// ultramafic database //
+		TC_um_ext_PC_init(		PC_read,
+												gv							);
+	}
 }
 
 
diff --git a/src/TC_database/objective_functions.h b/src/TC_database/objective_functions.h
index 132f926..25d4abe 100644
--- a/src/TC_database/objective_functions.h
+++ b/src/TC_database/objective_functions.h
@@ -27,6 +27,8 @@ void TC_mp_objective_init_function(	obj_type 		 	*SS_objective,
 void TC_um_objective_init_function(	obj_type 		 	*SS_objective,
 									global_variable  	 gv					);
 
+void TC_um_ext_objective_init_function(	obj_type 		 	*SS_objective,
+									global_variable  	 gv					);
 void TC_SS_objective_init_function(	obj_type 			*SS_objective,
 									global_variable 	 gv					);
 
@@ -105,6 +107,9 @@ double obj_um_anth(unsigned   n, const double *x, double *grad, void *SS_ref_db)
 double obj_um_spi(unsigned    n, const double *x, double *grad, void *SS_ref_db);
 double obj_um_opx(unsigned    n, const double *x, double *grad, void *SS_ref_db);
 double obj_um_po(unsigned     n, const double *x, double *grad, void *SS_ref_db);
+double obj_ume_pl4tr(unsigned n, const double *x, double *grad, void *SS_ref_db);
+double obj_ume_hb(unsigned    n, const double *x, double *grad, void *SS_ref_db);
+double obj_ume_aug(unsigned   n, const double *x, double *grad, void *SS_ref_db);
 
 double obj_aq17(unsigned 	  n, const double *x, double *grad, void *SS_ref_db);
 
@@ -123,5 +128,6 @@ void TC_ig_PC_init(	                PC_type 			*PC_read,
 									global_variable 	 gv				);
 void TC_um_PC_init(	                PC_type 			*PC_read,
 									global_variable 	 gv				);
-
+void TC_um_ext_PC_init(	            PC_type 			*PC_read,
+									global_variable 	 gv				);
 #endif
diff --git a/src/dump_function.c b/src/dump_function.c
index 539aa24..40a9cd4 100644
--- a/src/dump_function.c
+++ b/src/dump_function.c
@@ -256,6 +256,7 @@ void fill_output_struct(		global_variable 	 gv,
 			for (j = 0; j < gv.len_ox; j++){
 				sp[0].SS[m].Comp[j]				= cp[i].ss_comp[j]*cp[i].factor;
 				sp[0].SS[m].Comp_wt[j]			= sp[0].SS[m].Comp[j]*z_b.masspo[j];
+				sp[0].SS[m].Comp_apfu[j]		= cp[i].ss_comp[j];
 				sum_wt 						   += sp[0].SS[m].Comp_wt[j];
 				sum_mol 					   += sp[0].SS[m].Comp[j];
 			}
@@ -298,6 +299,7 @@ void fill_output_struct(		global_variable 	 gv,
 				for (k = 0; k < gv.len_ox; k++){
 					sp[0].SS[m].emComp[j][k]	= SS_ref_db[cp[i].id].Comp[j][k]*cp[i].factor;
 					sp[0].SS[m].emComp_wt[j][k]	= sp[0].SS[m].emComp[j][k]*z_b.masspo[k];
+					sp[0].SS[m].emComp_apfu[j][k]	= SS_ref_db[cp[i].id].Comp[j][k];
 					sum_wt 					   += sp[0].SS[m].emComp_wt[j][k];
 					sum_mol 				   += sp[0].SS[m].emComp[j][k];
 				}
@@ -406,6 +408,7 @@ void fill_output_struct(		global_variable 	 gv,
 			for (j = 0; j < gv.len_ox; j++){
 				sp[0].PP[m].Comp[j]		 = PP_ref_db[i].Comp[j]*PP_ref_db[i].factor;
 				sp[0].PP[m].Comp_wt[j]   = sp[0].PP[m].Comp[j]*z_b.masspo[j];
+				sp[0].PP[m].Comp_apfu[j]   = sp[0].PP[m].Comp[j];
 				sum_wt 					+= sp[0].PP[m].Comp_wt[j];
 				sum_mol					+= sp[0].PP[m].Comp[j];
 			}
@@ -542,6 +545,7 @@ void fill_output_struct(		global_variable 	 gv,
 	for (int i = 0; i < gv.len_ox; i++){
 		MolarMass_system += z_b.bulk_rock[i]*(z_b.masspo[i]);
 	}
+
 	sp[0].s_cp 					= sp[0].cp_wt/MolarMass_system*1e6;
 
 
diff --git a/src/initialize.c b/src/initialize.c
index 23e3a4d..e5484e6 100644
--- a/src/initialize.c
+++ b/src/initialize.c
@@ -115,7 +115,7 @@ global_variable global_variable_alloc( bulk_info  *z_b ){
 	}
 
 	strcpy(gv.outpath,"./output/");				/** define the outpath to save logs and final results file	 						*/
-	strcpy(gv.version,"1.5.2 [26/08/2024]");	/** MAGEMin version 																*/
+	strcpy(gv.version,"1.5.4 [09/09/2024]");	/** MAGEMin version 																*/
 
 	/* generate parameters        		*/
 	strcpy(gv.buffer,"none");
@@ -431,7 +431,8 @@ void reset_sp(						global_variable 	 gv,
 			sp[0].SS[n].Comp[i] 			= 0.0;
 			sp[0].PP[n].Comp_wt[i] 			= 0.0;
 			sp[0].SS[n].Comp_wt[i] 			= 0.0;
-
+			sp[0].PP[n].Comp_apfu[i] 			= 0.0;
+			sp[0].SS[n].Comp_apfu[i] 			= 0.0;
 		}
 		for (int i = 0; i < gv.len_ox*3; i++){
 			sp[0].SS[n].compVariables[i] 	= 0.0;
@@ -448,6 +449,7 @@ void reset_sp(						global_variable 	 gv,
 			for (int j = 0; j < gv.len_ox; j++){
 				sp[0].SS[n].emComp[i][j]	= 0.0;
 				sp[0].SS[n].emComp_wt[i][j]	= 0.0;
+				sp[0].SS[n].emComp_apfu[i][j]	= 0.0;
 			}
 		}
 	}
diff --git a/src/simplex_levelling.c b/src/simplex_levelling.c
index 8b74bb4..765a2ec 100644
--- a/src/simplex_levelling.c
+++ b/src/simplex_levelling.c
@@ -1278,6 +1278,13 @@ void run_simplex_levelling(				bulk_info 	 		 z_b,
 											gv.SS_list[iss]				);
 		}
 	}
+	else if (gv.EM_database == 5){
+		for (iss = 0; iss < gv.len_ss; iss++){
+			SS_um_pc_init_function(			SS_pc_xeos, 
+											iss,
+											gv.SS_list[iss]				);
+		}
+	}
 	for (iss = 0; iss < gv.len_ss; iss++){
 		if (SS_ref_db[iss].ss_flags[0] == 1){
 
diff --git a/src/ss_min_function.c b/src/ss_min_function.c
index 2c0c4c4..ac8dfce 100644
--- a/src/ss_min_function.c
+++ b/src/ss_min_function.c
@@ -463,7 +463,7 @@ void ss_min_LP(			global_variable 	 gv,
 		if (cp[i].ss_flags[0] == 1){
 			ph_id = cp[i].id;
 
-			if ( strcmp( gv.SS_list[ph_id], "liq") == 0 && gv.n_min[ph_id] > 0){
+			if ( strcmp( gv.SS_list[ph_id], "liq") == 0 && gv.n_min[ph_id] > 1){
 				act = 0;
 			}
 			else{
@@ -704,5 +704,24 @@ global_variable init_ss_db(		int 				 EM_database,
 										/** can become a global variable instead */
 		}
 	}
+	else if (EM_database == 5 ){
+		for (int i = 0; i < gv.len_ss; i++){
+			SS_ref_db[i].P  = z_b.P;									/** needed to pass to local minimizer, allows for P variation for liq/sol */
+			SS_ref_db[i].T  = z_b.T;		
+			SS_ref_db[i].R  = 0.0083144;
+
+			// if (SS_ref_db[i].is_liq == 1){
+			// 	SS_ref_db[i].P  = z_b.P + gv.melt_pressure;
+			// }
+
+			SS_ref_db[i]    = G_SS_um_ext_EM_function(	gv, 
+														SS_ref_db[i], 
+														gv.EM_dataset, 
+														z_b, 
+														gv.SS_list[i]		);
+											
+										/** can become a global variable instead */
+		}
+	}
 	return gv;
 };
diff --git a/src/toolkit.c b/src/toolkit.c
index 52d0795..4adecf5 100644
--- a/src/toolkit.c
+++ b/src/toolkit.c
@@ -280,8 +280,8 @@ bulk_info retrieve_bulk_PT(				global_variable      gv,
 	for (int i = 0; i < gv.len_ox; i++){ 
 		if (gv.bulk_rock[i] < 1.0e-4){
 
-			if (gv.EM_database == 4){ 			//if database is ultramafic, do not allow to remove O
-				if(strcmp( gv.ox[i], "H2O") != 0){
+			if (gv.EM_database == 0){ 				// metapelite database
+				if(strcmp( gv.ox[i], "H2O") != 0 && strcmp( gv.ox[i], "MnO") != 0  && strcmp( gv.ox[i], "O") != 0  && strcmp( gv.ox[i], "TiO2") != 0){
 					gv.bulk_rock[i] = 1.0e-4;
 					renorm = 1;
 					if (gv.verbose == 1){
@@ -289,8 +289,26 @@ bulk_info retrieve_bulk_PT(				global_variable      gv,
 					}	
 				}
 			}
-			else{
-				if(strcmp( gv.ox[i], "H2O") != 0 && strcmp( gv.ox[i], "Cr2O3") != 0 && strcmp( gv.ox[i], "O") != 0){
+			else if (gv.EM_database == 1){ 			// metabasite database
+				if(strcmp( gv.ox[i], "TiO2") != 0  && strcmp( gv.ox[i], "O") != 0){
+					gv.bulk_rock[i] = 1.0e-4;
+					renorm = 1;
+					if (gv.verbose == 1){
+						printf("  - mol of %4s = %+.5f < 1e-4        : set back to 1e-4 to avoid minimization issues\n",gv.ox[i],gv.bulk_rock[i]);
+					}	
+				}
+			}
+			else if (gv.EM_database == 3){ 			// igneous database
+				if(strcmp( gv.ox[i], "H2O") != 0  && strcmp( gv.ox[i], "TiO2") != 0 && strcmp( gv.ox[i], "Cr2O3") != 0 && strcmp( gv.ox[i], "O")  != 0 && strcmp( gv.ox[i], "K2O") != 0){
+					gv.bulk_rock[i] = 1.0e-4;
+					renorm = 1;
+					if (gv.verbose == 1){
+						printf("  - mol of %4s = %+.5f < 1e-4        : set back to 1e-4 to avoid minimization issues\n",gv.ox[i],gv.bulk_rock[i]);
+					}	
+				}
+			}
+			else if (gv.EM_database == 4){ 			// ultramafic database
+				if(strcmp( gv.ox[i], "H2O") != 0 && strcmp( gv.ox[i], "S") != 0  && strcmp( gv.ox[i], "O") != 0){
 					gv.bulk_rock[i] = 1.0e-4;
 					renorm = 1;
 					if (gv.verbose == 1){
diff --git a/test/tests.jl b/test/tests.jl
index 6b493ae..a76a58d 100644
--- a/test/tests.jl
+++ b/test/tests.jl
@@ -225,6 +225,16 @@ end
     @test out[2].G_system ≈ -912.5920719174167 rtol=2e-4
 
     Finalize_MAGEMin(data)
+
+    data    = Initialize_MAGEMin("um", verbose=-1, solver=0);
+    # One bulk rock for all points
+    P,T     = 10.0, 600.0
+    Xoxides = ["SiO2", "Al2O3", "MgO", "FeO", "O", "H2O", "S"];
+    X       = [20.044,0.6256,29.24,3.149,0.0,46.755,0.0]
+    sys_in  = "mol"    
+    out     = single_point_minimization(P, T, data, X=X, Xoxides=Xoxides, sys_in=sys_in)
+
+
 end
 
 
diff --git a/tools/Generate_database_information_public.jl b/tools/Generate_database_information_public.jl
index 68ee6e1..73869cd 100644
--- a/tools/Generate_database_information_public.jl
+++ b/tools/Generate_database_information_public.jl
@@ -6,9 +6,10 @@ function get_database_infos()
     db_details      = [ "Metapelite (White et al., 2014)",
                         "Metabasite (Green et al., 2016)",
                         "Igneous (Holland et al., 2018)",
-                        "Ultramafic (Evans & Frost., 2021)"]
+                        "Ultramafic (Evans & Frost., 2021)",
+                        "Ultramafic extended (Evans & Frost., 2021) + pl, hb and aug from Green et al., 2016"]
 
-    database_list   = ["mp","mb","ig","um"]
+    database_list   = ["mp","mb","ig","um","ume"]
 
     db_inf          = Array{db_infos, 1}(undef, length(database_list))