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stimela.dat
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# stimela.dat (version 3.8.6) (stimela version of phreeqc.dat)
# under development by Peter de Moel (Omnisys) for Stimela platform at Delft University of Technology
# based on: phreeqc.dat (file date 2025-01-07, in IPhreeqcCOM-3.8.6-17100-x64.msi)
# Stimela is focussed on modelling for water and waste water treatment
# Further info on using PHREEQC for water treatment, and PHREEQC in Excel can be found on https://ac4e.omnisys.nl/
# list of modifications:
# - added Amm (with master species AmmH+) as used in amm.dat for redox-uncoupled NH3 (for using Tony Appelo's input files)
# - added [N-3] (with master species [N-3]H4+) as alternative for redox-uncoupled Amm (for readable chemical formula)
# - added [Fe+2], [Mn+2] and [N+3] (with master species [Fe+2]+2 , [Mn+2]+2 and [N+3]O2-) for redox-uncoupled Fe+2, Mn+2 and NO2-
# - added [C-4] and [S-2] (with master species [C-4]H4 and H2[S-2]) as alternatives for redox-uncoupled Mtg and Sg)
# - added solid Vaterite (CaCO3) (included in Standard Methods 2330 (2010))
# - unchanged analytic for solid Calcite (phreeqc 3.7.0. introduced modified version, deviated from Standard Methods 2330 - 2016)
# - modified values for element_gfw according to Abridged Standard Atomic Weights from TSAW 2013 (CIAAW/IUPAC) (https://www.ciaaw.org/abridged-atomic-weights.htm)
# end of list of modifications
# File 1 = C:\GitPrograms\phreeqc3-1\database\phreeqc.dat, 22/05/2024 19:38, 1948 lines, 55817 bytes, md5=78b3659799b73ddca128328b6ee7533b
# Created 22 May 2024 19:55:37
# C:\3rdParty\lsp\lsp.exe -f2 -k=asis -ts phreeqc.dat
# phreeqc.dat for calculating temperature and pressure dependence of reactions, and the specific conductance and viscosity of the solution. Based on:
# diffusion coefficients and molal volumina of aqueous species, solubility and volume of minerals, and critical temperatures and pressures of gases in Peng-Robinson's EOS.
# Details are given at the end of this file.
SOLUTION_MASTER_SPECIES
# Modified acc. TSAW calculated
#element species alk gfw_formula element_gfw # phreeqc.dat (if modified)
#
H H+ -1 H 1.0080 1.008 1,008
H(0) H2 0 H
H(1) H+ -1 0
E e- 0 0.0 0
O H2O 0 O 15.999 # 16 15,999
O(0) O2 0 O
O(-2) H2O 0 0
Ca Ca+2 0 Ca 40.078 # 40.08 40,078
Mg Mg+2 0 Mg 24.305 # 24.312
Na Na+ 0 Na 22.990 # 22.9898
K K+ 0 K 39.098 # 39.102
Fe Fe+2 0 Fe 55.845 # 55.847
Fe(+2) Fe+2 0 Fe
Fe(+3) Fe+3 -2 Fe
Mn Mn+2 0 Mn 54.938
Mn(+2) Mn+2 0 Mn
Mn(+3) Mn+3 0 Mn
Al Al+3 0 Al 26.982 # 26.9815
Ba Ba+2 0 Ba 137.33 # 137.34
Sr Sr+2 0 Sr 87.62
Si H4SiO4 0 SiO2 28.085 # 28.0843
Cl Cl- 0 Cl 35.45 # 35.453
C CO3-2 2 HCO3 12.011 # 12.0111 12,011
C(+4) CO3-2 2 HCO3
C(-4) CH4 0 CH4
Alkalinity CO3-2 1 Ca0.5(CO3)0.5 50.043 # 50.05 50,043
S SO4-2 0 SO4 32.06 # 32.064 32,06
S(6) SO4-2 0 SO4
S(-2) HS- 1 S
N NO3- 0 N 14.007 # 14.0067 14,007
N(+5) NO3- 0 N
N(+3) NO2- 0 N
N(0) N2 0 N
N(-3) NH4+ 0 N # 14.0067
# begin modification stimela.dat
# uncommented Amm definitions
Amm AmmH+ 0 AmmH 17.031 # 17,031
# end modification stimela.dat
B H3BO3 0 B 10.81
P PO4-3 2 P 30.974 # 30.9738
F F- 0 F 18.998 # 18.9984
Li Li+ 0 Li 6.94 # 6.939
Br Br- 0 Br 79.904
Zn Zn+2 0 Zn 65.38 # 65.37
Cd Cd+2 0 Cd 112.41 # 112.4
Pb Pb+2 0 Pb 207.2 # 207.19
Cu Cu+2 0 Cu 63.546
Cu(+2) Cu+2 0 Cu
Cu(+1) Cu+1 0 Cu
# redox-uncoupled gases
Hdg Hdg 0 Hdg 2.016 # H2 gas 2,016
Oxg Oxg 0 Oxg 31.998 # 32 O2 gas 31,998
Mtg Mtg 0 Mtg 16.043 # 16.032 CH4 gas 16,043
Sg H2Sg 0 H2Sg 34.076 # 34.064 H2S gas 34,076
Ntg Ntg 0 Ntg 28.014 # 28.0134 N2 gas 28,014
# begin modification stimela.dat
# added redox-uncoupled (inert) elements: [Fe+2], [Mn+2] and [N+3]
[Fe+2] [Fe+2]+2 0 Fe 55.845
[Mn+2] [Mn+2]+2 0 Mn 54.938
[N+3] [N+3]O2- 0 N 14.007
# redox_uncoupled elements Amm (NH3), Mtg (CH4) and Sg (H2S) are not readable chemical formula
# replaced with uniform notation for redox-uncoupled (inert) elements: [N-3], [C-4] and [S-2]
[N-3] [N-3]H4+ 0 NH4 14.007 # Amm = [N-3]H3
[C-4] [C-4]H4 0 CH4 12.011 # Mtg = [C-4]H4
[S-2] H2[S-2] 0 H2S 32.06 # Sg = [S-2]
# uniform notation omitted for Oxg (O2), Hdg (H2) and Ntg (N2), to limit modifications from phreeqc.dat
# end modification stimela.dat
SOLUTION_SPECIES
H+ = H+
-gamma 9 0
-viscosity 9.35e-2 -8.31e-2 2.487e-2 4.49e-4 2.01e-2 1.57 # for viscosity parameters see ref. 4
-dw 9.31e-9 838 6.96 -2.285 0.206 24.01 0
# Dw(25 C) dw_T a a2 visc a3 a_v_dif
# Dw(TK) = 9.31e-9 * exp(838 / TK - 838 / 298.15) * viscos_0_25 / viscos_0_tc
# a = DH ion size, a2 = exponent, visc = viscosity exponent, a3(H+) = 24.01 = new dw calculation from A.D. 2024, a_v_dif = exponent in (viscos_0_tc / viscos)^a_v_dif for tracer diffusion.
# For SC, Dw(TK) *= (viscos_0_tc / viscos)^visc (visc = 0.206 for H+)
# a3 > 5 or a3 = 0 or not defined ? ka = DH_B * a * (1 + (vm - v0))^a2 * mu^0.5, in Onsager-Falkenhagen eqn. (For H+, the reference ion, vm = v0 = 0, a *= (1 + mu)^a2.)
# a3 = -10 ? ka = DH_B * a * mu^a2 (Define a3 = -10, not used in this database.) (a3 = 24.01 for H+, a flag.)
# -3 < a3 < 4 ? ka = DH_B * a2 * mu^0.5 / (1 + mu^a3), Appelo, 2017: Dw(I) = Dw(TK) * exp(-a * DH_A * z * sqrt_mu / (1 + ka)) (Sr+2 in this database)
# If a_v_dif <> 0, Dw(TK) *= (viscos_0_tc / viscos)^a_v_dif in TRANSPORT.
e- = e-
H2O = H2O
-dw 2.299e-9 -254
# H2O + 0.01e- = H2O-0.01; -log_k -9 # aids convergence
Li+ = Li+
-gamma 6 0 # The apparent volume parameters are defined in ref. 1 & 2
-Vm -0.419 -0.069 13.16 -2.78 0.416 0 0.296 -12.4 -2.74e-3 1.26 # ref. 2 and Ellis, 1968, J. Chem. Soc. A, 1138
-viscosity 0.162 -2.45e-2 3.73e-2 9.7e-4 8.1e-4 2.087 # < 10 M LiCl
-dw 1.03e-9 -14 4.03 0.8341 1.679
Na+ = Na+
-gamma 4 0.075
-gamma 4.08 0.082 # halite solubility
-Vm 2.28 -4.38 -4.1 -0.586 0.09 4 0.3 52 -3.33e-3 0.566
# -Vm 2.28 -4.38 -4.1 -0.586 0.09 4 0.3 52 -3.33e-3 0.45 # for densities (rho) when I > 3.
-viscosity 0.1387 -8.66e-2 1.25e-2 1.45e-2 7.5e-3 1.062
-dw 1.33e-9 75 3.627 0 0.7037
K+ = K+
-gamma 3.5 0.015
-Vm 3.322 -1.473 6.534 -2.712 9.06e-2 3.5 0 29.7 0 1
-viscosity 0.116 -0.191 1.52e-2 1.4e-2 2.59e-2 0.9028
-dw 1.96e-9 254 3.484 0 0.1964
Mg+2 = Mg+2
-gamma 5.5 0.2
-Vm -1.41 -8.6 11.13 -2.39 1.332 5.5 1.29 -32.9 -5.86e-3 1
-viscosity 0.426 0 0 1.66e-3 4.32e-3 2.461
-dw 0.705e-9 -4 5.569 0 1.047
Ca+2 = Ca+2
-gamma 5 0.165
-Vm -0.3456 -7.252 6.149 -2.479 1.239 5 1.6 -57.1 -6.12e-3 1
-viscosity 0.359 -0.158 4.2e-2 1.5e-3 8.04e-3 2.3 # ref. 4, CaCl2 < 6 M
-dw 0.792e-9 34 5.411 0 1.046
Sr+2 = Sr+2
-gamma 5.26 0.121
-Vm -1.57e-2 -10.15 10.18 -2.36 0.86 5.26 0.859 -27 -4.1e-3 1.97
-viscosity 0.472 -0.252 5.51e-3 3.67e-3 0 1.876
-dw 0.794e-9 149 0.805 1.961 1e-9 0.7876
Ba+2 = Ba+2
-gamma 5 0
-gamma 4 0.153 # Barite solubility
-Vm 2.063 -10.06 1.9534 -2.36 0.4218 5 1.58 -12.03 -8.35e-3 1
-viscosity 0.338 -0.227 1.39e-2 3.07e-2 0 0.768
-dw 0.848e-9 174 10.53 0 3
Fe+2 = Fe+2
-gamma 6 0
-Vm -0.3255 -9.687 1.536 -2.379 0.3033 6 -4.21e-2 39.7 0 1
-dw 0.719e-9
Mn+2 = Mn+2
-gamma 6 0
-Vm -1.1 -8.03 4.08 -2.45 1.4 6 8.07 0 -1.51e-2 0.118
-dw 0.688e-9
Al+3 = Al+3
-gamma 9 0
-Vm -2.28 -17.1 10.9 -2.07 2.87 9 0 0 5.5e-3 1 # ref. 2 and Barta and Hepler, 1986, Can. J.C. 64, 353
-dw 0.559e-9
H4SiO4 = H4SiO4
-Vm 10.5 1.7 20 -2.7 0.1291 # supcrt 2*H2O in a1
-dw 1.1e-9
Cl- = Cl-
-gamma 3.5 0.015
-gamma 3.63 0.017 # cf. pitzer.dat
-Vm 4.465 4.801 4.325 -2.847 1.748 0 -0.331 20.16 0 1
-viscosity 0 0 0 0 0 0 1 # the reference solute
-dw 2.033e-9 216 3.16 0.2071 0.7432
CO3-2 = CO3-2
-gamma 5.4 0
-Vm 6.09 -2.78 -0.405 -5.3 5.02 0 0.169 101 -1.38e-2 0.9316
-viscosity -0.5 0.6521 5.44e-3 1.06e-3 -2.18e-2 1.208 -2.147
-dw 0.955e-9 -103 2.246 7.13e-2 0.3686
SO4-2 = SO4-2
-gamma 5 -0.04
-Vm -7.77 43.17 176 -51.45 3.794 0 42.99 -541 -0.145 0.45 # with analytical_expressions for log K of NaSO4-, KSO4- & MgSO4, 0 - 200 oC
-viscosity -0.3 0.501 2.57e-3 0.195 3.14e-2 2.015 0.605
-dw 1.07e-9 -114 17 6.02e-2 4.94e-2
NO3- = NO3-
-gamma 3 0
-Vm 6.32 6.78 0 -3.06 0.346 0 0.93 0 -0.012 1
-viscosity 8.37e-2 -0.458 1.54e-2 0.34 1.79e-2 5.02e-2 0.7381
-dw 1.9e-9 104 1.11
# begin modification stimela.dat
# uncommented Amm definitions
AmmH+ = AmmH+
-gamma 2.5 0
-Vm 5.35 2.345 3.72 -2.88 1.55 2.5 -4.54 217 2.344e-2 0.569
-viscosity 9.9e-2 -0.159 1.36e-2 6.51e-3 3.21e-2 0.972
-dw 1.98e-9 203 1.47 2.644 6.81e-2
# added [N-3]H4+, [N+3]O2-, [Fe+2]+2 and [Mn+2]+2
[N-3]H4+ = [N-3]H4+
-gamma 2.5 0
-Vm 5.35 2.345 3.72 -2.88 1.55 2.5 -4.54 217 2.344e-2 0.569
-viscosity 9.9e-2 -0.159 1.36e-2 6.51e-3 3.21e-2 0.972
-dw 1.98e-9 203 1.47 2.644 6.81e-2
[N+3]O2- = [N+3]O2-
-gamma 3 0
-Vm 5.5864 5.859 3.4472 -3.0212 1.1847 # supcrt
-dw 1.91e-9
[Fe+2]+2 = [Fe+2]+2
-gamma 6 0
-Vm -0.3255 -9.687 1.536 -2.379 0.3033 6 -4.21e-2 39.7 0 1
-dw 0.719e-9
[Mn+2]+2 = [Mn+2]+2
-gamma 6 0
-Vm -1.1 -8.03 4.08 -2.45 1.4 6 8.07 0 -1.51e-2 0.118
-dw 0.688e-9
# end modification stimela.dat
H3BO3 = H3BO3
-Vm 7.0643 8.8547 3.5844 -3.1451 -0.2 # supcrt
-dw 1.1e-9
PO4-3 = PO4-3
-gamma 4 0
-Vm 1.24 -9.07 9.31 -2.4 5.61 0 0 0 -1.41e-2 1
-dw 0.612e-9
F- = F-
-gamma 3.5 0
-Vm 0.928 1.36 6.27 -2.84 1.84 0 0 -0.318 0 1
-viscosity 0 2.85e-2 1.35e-2 6.11e-2 4.38e-3 1.384 0.586
-dw 1.46e-9 -36 4.352
Br- = Br-
-gamma 3 0
-Vm 6.72 2.85 4.21 -3.14 1.38 0 -9.56e-2 7.08 -1.56e-3 1
-viscosity -6.98e-2 -0.141 1.78e-2 0.159 7.76e-3 6.25e-2 0.859
-dw 2.09e-9 208 3.5 0 0.5737
Zn+2 = Zn+2
-gamma 5 0
-Vm -1.96 -10.4 14.3 -2.35 1.46 5 -1.43 24 1.67e-2 1.11
-dw 0.715e-9
Cd+2 = Cd+2
-Vm 1.63 -10.7 1.01 -2.34 1.47 5 0 0 0 1
-dw 0.717e-9
Pb+2 = Pb+2
-Vm -0.0051 -7.7939 8.8134 -2.4568 1.0788 4.5 # supcrt
-dw 0.945e-9
Cu+2 = Cu+2
-gamma 6 0
-Vm -1.13 -10.5 7.29 -2.35 1.61 6 9.78e-2 0 3.42e-3 1
-dw 0.733e-9
# redox-uncoupled gases
Hdg = Hdg # H2
-Vm 6.52 0.78 0.12 # supcrt
-dw 5.13e-9
Oxg = Oxg # O2
-Vm 5.7889 6.3536 3.2528 -3.0417 -0.3943 # supcrt
-dw 2.35e-9
Mtg = Mtg # CH4
-Vm 9.01 -1.11 0 -1.85 -1.5 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 1.85e-9
Ntg = Ntg # N2
-Vm 7 # Pray et al., 1952, IEC 44 1146
-dw 1.96e-9 -90 # Cadogan et al. 2014, JCED 59, 519
H2Sg = H2Sg # H2S
-Vm 1.39 28.3 0 -7.22 -0.59 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 2.1e-9
# begin modification stimela.dat
[C-4]H4 = [C-4]H4 # CH4
-Vm 9.01 -1.11 0 -1.85 -1.5 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 1.85e-9
H2[S-2] = H2[S-2] # H2S
-Vm 1.39 28.3 0 -7.22 -0.59 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 2.1e-9
# end modification stimela.dat
# aqueous species
H2O = OH- + H+
-analytic 293.29227 0.1360833 -10576.913 -123.73158 0 -6.996455e-5
-gamma 3.5 0
-Vm -9.66 28.5 80 -22.9 1.89 0 1.09 0 0 1
-viscosity -2.26e-2 0.106 2.184e-2 -3.2e-3 0 0.4082 -1.634 # < 5 M Li,Na,KOH
-dw 5.27e-9 478 0.8695
2 H2O = O2 + 4 H+ + 4 e-
-log_k -86.08
-delta_h 134.79 kcal
-Vm 5.7889 6.3536 3.2528 -3.0417 -0.3943 # supcrt
-dw 2.35e-9
2 H+ + 2 e- = H2
-log_k -3.15
-delta_h -1.759 kcal
-Vm 6.52 0.78 0.12 # supcrt
-dw 5.13e-9
H+ + Cl- = HCl
-log_k -0.5
-analytical_expression 0.334 -2.684e-3 1.015 # from Pitzer.dat, up to 15 M HCl, 0 - 50°C
-gamma 0 0.4256
-viscosity 0.921 -0.765 8.32e-3 8.25e-4 2.53e-3 4.223
CO3-2 + H+ = HCO3-
-log_k 10.329; -delta_h -3.561 kcal
-analytic 107.8871 0.03252849 -5151.79 -38.92561 563713.9
-gamma 5.4 0
-Vm 10.26 -2.92 -12.58 -0.241 2.23 0 -5.49 320 2.83e-2 1.144
-viscosity -0.6 1.366 -1.216e-2 0e-2 3.139e-2 -1.135 1.253
-dw 1.18e-9 -190 11.386
CO3-2 + 2 H+ = CO2 + H2O
-log_k 16.681
-delta_h -5.738 kcal
-analytic 464.1965 0.09344813 -26986.16 -165.75951 2248628.9
-Vm 7.29 0.92 2.07 -1.23 -1.6 # McBride et al. 2015, JCED 60, 171
-gamma 0 0.066 # Rumpf et al. 1994, J. Sol. Chem. 23, 431
-viscosity 6.8e-3 9.03e-2 3.27e-2 0 0 0 0.18
-dw 1.92e-9 -120 # TK dependence from Cadogan et al. 2014, , JCED 59, 519
2 CO2 = (CO2)2 # activity correction for CO2 solubility at high P, T
-log_k -1.8
-analytical_expression 8.68 -0.0103 -2190
-Vm 14.58 1.84 4.14 -2.46 -3.2
-viscosity 1.36e-2 0.1806 3.27e-2 0 0 0 0.36
-dw 1.92e-9 -120 # TK dependence from Cadogan et al. 2014, , JCED 59, 519
CO3-2 + 10 H+ + 8 e- = CH4 + 3 H2O
-log_k 41.071
-delta_h -61.039 kcal
-Vm 9.01 -1.11 0 -1.85 -1.5 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 1.85e-9
SO4-2 + H+ = HSO4-
-log_k 1.988; -delta_h 3.85 kcal
-analytic -56.889 0.006473 2307.9 19.8858
-Vm 8.2 9.259 2.1108 -3.1618 1.1748 0 -0.3 15 0 1
-viscosity 0.5 -6.97e-2 6.07e-2 1e-5 -0.1333 0.4865 0.7987
-dw 1.22e-9 1000 15 2.861
HS- = S-2 + H+
-log_k -12.918
-delta_h 12.1 kcal
-gamma 5 0
-dw 0.731e-9
SO4-2 + 9 H+ + 8 e- = HS- + 4 H2O
-log_k 33.65
-delta_h -60.14 kcal
-gamma 3.5 0
-Vm 5.0119 4.9799 3.4765 -2.9849 1.441 # supcrt
-dw 1.73e-9
HS- + H+ = H2S
-log_k 6.994; -delta_h -5.3 kcal
-analytical -11.17 0.02386 3279
-Vm 1.39 28.3 0 -7.22 -0.59 # Hnedkovsky et al., 1996, JCT 28, 125
-dw 2.1e-9
2 H2S = (H2S)2 # activity correction for H2S solubility at high P, T
-analytical_expression 10.227 -0.01384 -2200
-Vm 36.41 -71.95 0 0 2.58
-dw 2.1e-9
H2Sg = HSg- + H+
-log_k -6.994; -delta_h 5.3 kcal
-analytical_expression 11.17 -0.02386 -3279
-gamma 3.5 0
-Vm 5.0119 4.9799 3.4765 -2.9849 1.441 # supcrt
-dw 1.73e-9
2 H2Sg = (H2Sg)2 # activity correction for H2S solubility at high P, T
-analytical_expression 10.227 -0.01384 -2200
-Vm 36.41 -71.95 0 0 2.58
-dw 2.1e-9
# begin modification stimela.dat
H2[S-2] = H[S-2]- + H+
-log_k -6.994; -delta_h 5.3 kcal
-analytical_expression 11.17 -0.02386 -3279
-gamma 3.5 0
-Vm 5.0119 4.9799 3.4765 -2.9849 1.441 # supcrt
-dw 1.73e-9 1.73e-9
2 H2[S-2] = (H2[S-2])2 # activity correction for H2S solubility at high P, T
-analytical_expression 10.227 -0.01384 -2200
-Vm 36.41 -71.95 0 0 2.58
-dw 2.1e-9
# end modification stimela.dat
NO3- + 2 H+ + 2 e- = NO2- + H2O
-log_k 28.57
-delta_h -43.76 kcal
-gamma 3 0
-Vm 5.5864 5.859 3.4472 -3.0212 1.1847 # supcrt
-dw 1.91e-9
2 NO3- + 12 H+ + 10 e- = N2 + 6 H2O
-log_k 207.08
-delta_h -312.13 kcal
-Vm 7 # Pray et al., 1952, IEC 44 1146
-dw 1.96e-9 -90 # Cadogan et al. 2014, JCED 59, 519
NO3- + 10 H+ + 8 e- = NH4+ + 3 H2O
-log_k 119.077
-delta_h -187.055 kcal
-gamma 2.5 0
-Vm 5.35 2.345 3.72 -2.88 1.55 2.5 -4.54 217 2.344e-2 0.569
-viscosity 9.9e-2 -0.159 1.36e-2 6.51e-3 3.21e-2 0.972
-dw 1.98e-9 203 1.47 2.644 6.81e-2
# begin modification stimela.dat
# uncommented Amm definitions
AmmH+ = Amm + H+
-log_k -9.252
-delta_h 12.48 kcal
-analytic 0.6322 -0.001225 -2835.76
-Vm 6.69 2.8 3.58 -2.88 1.43
-viscosity 0.08 0 0 7.82e-3 -0.134 -0.986
-dw 2.28e-9
# definition [N-3]H3
[N-3]H4+ = [N-3]H3 + H+
-log_k -9.252
-delta_h 12.48 kcal
-analytic 0.6322 -0.001225 -2835.76
-Vm 6.69 2.8 3.58 -2.88 1.43
-viscosity 0.08 0 0 7.82e-3 -0.134 -0.986
-dw 2.28e-9
# end modification stimela.dat
NH4+ = NH3 + H+
-log_k -9.252
-delta_h 12.48 kcal
-analytic 0.6322 -0.001225 -2835.76
-Vm 6.69 2.8 3.58 -2.88 1.43
-viscosity 0.08 0 0 7.82e-3 -0.134 -0.986
-dw 2.28e-9
# begin modification stimela.dat
# uncommented Amm definitions
AmmH+ + SO4-2 = AmmHSO4-
-gamma 2.08 -0.0416
-log_k 1.211; -delta_h 8.56 kJ
-Vm -8.78 0 -36.09 0 -8.60 0 87.62 0 -0.3123 0.1172
-viscosity 0 0.116 -8.6e-3 0.159 -9.3e-3 0.522 0.627
-dw 0.9e-9 100 2.1 2 0
# definition [N-3]H4SO4-
[N-3]H4+ + SO4-2 = [N-3]H4SO4-
-gamma 2.08 -0.0416
-log_k 1.211; -delta_h 8.56 kJ
-Vm -8.78 0 -36.09 0 -8.60 0 87.62 0 -0.3123 0.1172
-viscosity 0 0.116 -8.6e-3 0.159 -9.3e-3 0.522 0.627
-dw 0.9e-9 100 2.1 2 0
# end modification stimela.dat
NH4+ + SO4-2 = NH4SO4-
-gamma 2.08 -0.0416
-log_k 1.211; -delta_h 8.56 kJ
-Vm -8.78 0 -36.09 0 -8.60 0 87.62 0 -0.3123 0.1172
-viscosity 0 0.116 -8.6e-3 0.159 -9.3e-3 0.522 0.627
-dw 0.9e-9 100 2.1 2 0
H3BO3 = H2BO3- + H+
-log_k -9.24
-delta_h 3.224 kcal
H3BO3 + F- = BF(OH)3-
-log_k -0.4
-delta_h 1.85 kcal
H3BO3 + 2 F- + H+ = BF2(OH)2- + H2O
-log_k 7.63
-delta_h 1.618 kcal
H3BO3 + 2 H+ + 3 F- = BF3OH- + 2 H2O
-log_k 13.67
-delta_h -1.614 kcal
H3BO3 + 3 H+ + 4 F- = BF4- + 3 H2O
-log_k 20.28
-delta_h -1.846 kcal
PO4-3 + H+ = HPO4-2
-log_k 12.346
-delta_h -3.53 kcal
-gamma 5 0
-dw 0.69e-9
-Vm 3.52 1.09 8.39 -2.82 3.34 0 0 0 0 1
PO4-3 + 2 H+ = H2PO4-
-log_k 19.553
-delta_h -4.52 kcal
-gamma 5.4 0
-Vm 5.58 8.06 12.2 -3.11 1.3 0 0 0 1.62e-2 1
-dw 0.846e-9
PO4-3 + 3 H+ = H3PO4
log_k 21.721 # log_k and delta_h from minteq.v4.dat, NIST46.3
delta_h -10.1 kJ
-Vm 7.47 12.4 6.29 -3.29 0
H+ + F- = HF
-log_k 3.18
-delta_h 3.18 kcal
-analytic -2.033 0.012645 429.01
-Vm 3.4753 .7042 5.4732 -2.8081 -.0007 # supcrt
H+ + 2 F- = HF2-
-log_k 3.76
-delta_h 4.55 kcal
-Vm 5.2263 4.9797 3.7928 -2.9849 1.2934 # supcrt
Ca+2 + H2O = CaOH+ + H+
-log_k -12.78
Ca+2 + CO3-2 = CaCO3
-log_k 3.224; -delta_h 3.545 kcal
-analytic -1228.732 -0.29944 35512.75 485.818
-dw 4.46e-10 # complexes: calc'd with the Pikal formula
-Vm -.243 -8.3748 9.0417 -2.4328 -.03 # supcrt
Ca+2 + CO3-2 + H+ = CaHCO3+
-log_k 10.91; -delta_h 4.38 kcal
-analytic -6.009 3.377e-2 2044
-gamma 6 0
-Vm 30.19 .01 5.75 -2.78 .308 5.4
-dw 5.06e-10
Ca+2 + SO4-2 = CaSO4
-log_k 2.25
-delta_h 1.325 kcal
-dw 4.71e-10
-Vm 2.791 -.9666 6.13 -2.739 -.001 # supcrt
Ca+2 + HSO4- = CaHSO4+
-log_k 1.08
Ca+2 + PO4-3 = CaPO4-
-log_k 6.459
-delta_h 3.1 kcal
-gamma 5.4 0
Ca+2 + HPO4-2 = CaHPO4
-log_k 2.739
-delta_h 3.3 kcal
Ca+2 + H2PO4- = CaH2PO4+
-log_k 1.408
-delta_h 3.4 kcal
-gamma 5.4 0
# Ca+2 + F- = CaF+
# -log_k 0.94
# -delta_h 4.120 kcal
# -gamma 5.5 0.0
# -Vm .9846 -5.3773 7.8635 -2.5567 .6911 5.5 # supcrt
Mg+2 + H2O = MgOH+ + H+
-log_k -11.44
-delta_h 15.952 kcal
-gamma 6.5 0
Mg+2 + CO3-2 = MgCO3
-log_k 2.98
-delta_h 2.713 kcal
-analytic 0.991 0.00667
-Vm -0.5837 -9.2067 9.3687 -2.3984 -.03 # supcrt
-dw 4.21e-10
Mg+2 + H+ + CO3-2 = MgHCO3+
-log_k 11.399
-delta_h -2.771 kcal
-analytic 48.6721 0.03252849 -2614.335 -18.00263 563713.9
-gamma 4 0
-Vm 2.7171 -1.1469 6.2008 -2.7316 .5985 4 # supcrt
-dw 4.78e-10
Mg+2 + SO4-2 = MgSO4
-gamma 0 0.2
-log_k 2.42; -delta_h 19 kJ
-analytical_expression 0 9.64e-3 -136 # mean salt gamma from Pitzer.dat and epsomite/hexahydrite/kieserite solubilities, 0 - 200 oC
-Vm 8.65 -10.21 29.58 -18.6 1.061
-viscosity 0.318 -5.4e-4 -3.42e-2 0.708 3.7e-3 0.696
-dw 4.45e-10
SO4-2 + MgSO4 = Mg(SO4)2-2
-gamma 7 0.047
-log_k 0.52; -delta_h -13.6 kJ
-analytical_expression 0 -1.51e-3 0 0 8.604e4 # mean salt gamma from Pitzer.dat and epsomite/hexahydrite/kieserite solubilities, 0 - 200 oC
-Vm -8.14 -62.2 -15.96 3.29 -3.01 0 150 0 0.153 3.79e-2
-viscosity -0.169 5e-4 -5.69e-2 0.11 2.03e-3 2.027 -1e-3
-dw 0.845e-9 -200 8 0 0.965
Mg+2 + PO4-3 = MgPO4-
-log_k 6.589
-delta_h 3.1 kcal
-gamma 5.4 0
Mg+2 + HPO4-2 = MgHPO4
-log_k 2.87
-delta_h 3.3 kcal
Mg+2 + H2PO4- = MgH2PO4+
-log_k 1.513
-delta_h 3.4 kcal
-gamma 5.4 0
Mg+2 + F- = MgF+
-log_k 1.82
-delta_h 3.2 kcal
-gamma 4.5 0
-Vm .6494 -6.1958 8.1852 -2.5229 .9706 4.5 # supcrt
# Na+ + OH- = NaOH
# -log_k -14.7 # remove this complex
Na+ + HCO3- = NaHCO3
-log_k -0.06; -delta_h 21 kJ
-gamma 0 0.2
-Vm 7.95 0 0 0 0.609
-viscosity -4e-2 -2.717 1.67e-5
-dw 6.73e-10
Na+ + SO4-2 = NaSO4-
-gamma 5.5 0
-log_k 0.6; -delta_h -14.4 kJ
-analytical_expression 255.903 0.10057 0 -1.11138e2 -8.5983e5 # mirabilite/thenardite solubilities, 0 - 200 oC
-Vm 1.99 -10.78 21.88 -12.7 1.601 5 32.38 501 1.565e-2 0.2325
-viscosity 0.2 -5.93e-2 -4e-4 8.46e-3 1.78e-3 2.308 -0.208
-dw 1.13e-9 -23 8.5 0.392 0.521
Na+ + HPO4-2 = NaHPO4-
-log_k 0.29
-gamma 5.4 0
-Vm 5.2 8.1 13 -3 0.9 0 0 1.62e-2 1
Na+ + F- = NaF
-log_k -0.24
-Vm 2.7483 -1.0708 6.1709 -2.7347 -.03 # supcrt
K+ + HCO3- = KHCO3
-log_k -0.35; -delta_h 12 kJ
-gamma 0 9.4e-3
-Vm 9.48 0 0 0 -0.542
-viscosity 0.7 -1.289 9e-2
K+ + SO4-2 = KSO4-
-gamma 5.4 0.19
-log_k 0.6; -delta_h -10.4 kJ
-analytical_expression -3.0246 9.986e-3 0 0 1.093e5 # arcanite solubility, 0 - 200 oC
-Vm 13.48 -18.03 61.74 -19.6 2.046 5.4 -17.32 0 0.1522 1.919
-viscosity -1 1.06 1e-4 -0.464 3.78e-2 0.539 -0.69
-dw 0.9e-9 63 8.48 0 1.8
K+ + HPO4-2 = KHPO4-
-log_k 0.29
-gamma 5.4 0
-Vm 5.4 8.1 19 -3.1 0.7 0 0 0 1.62e-2 1
Fe+2 + H2O = FeOH+ + H+
-log_k -9.5
-delta_h 13.2 kcal
-gamma 5 0
Fe+2 + 3 H2O = Fe(OH)3- + 3 H+
-log_k -31
-delta_h 30.3 kcal
-gamma 5 0
Fe+2 + Cl- = FeCl+
-log_k 0.14
Fe+2 + CO3-2 = FeCO3
-log_k 4.38
Fe+2 + HCO3- = FeHCO3+
-log_k 2
Fe+2 + SO4-2 = FeSO4
-log_k 2.25
-delta_h 3.23 kcal
-Vm -13 0 123
Fe+2 + HSO4- = FeHSO4+
-log_k 1.08
Fe+2 + 2 HS- = Fe(HS)2
-log_k 8.95
Fe+2 + 3 HS- = Fe(HS)3-
-log_k 10.987
Fe+2 + HPO4-2 = FeHPO4
-log_k 3.6
Fe+2 + H2PO4- = FeH2PO4+
-log_k 2.7
-gamma 5.4 0
Fe+2 + F- = FeF+
-log_k 1
Fe+2 = Fe+3 + e-
-log_k -13.02
-delta_h 9.68 kcal
-gamma 9 0
Fe+3 + H2O = FeOH+2 + H+
-log_k -2.19
-delta_h 10.4 kcal
-gamma 5 0
Fe+3 + 2 H2O = Fe(OH)2+ + 2 H+
-log_k -5.67
-delta_h 17.1 kcal
-gamma 5.4 0
Fe+3 + 3 H2O = Fe(OH)3 + 3 H+
-log_k -12.56
-delta_h 24.8 kcal
Fe+3 + 4 H2O = Fe(OH)4- + 4 H+
-log_k -21.6
-delta_h 31.9 kcal
-gamma 5.4 0
Fe+2 + 2 H2O = Fe(OH)2 + 2 H+
-log_k -20.57
-delta_h 28.565 kcal
2 Fe+3 + 2 H2O = Fe2(OH)2+4 + 2 H+
-log_k -2.95
-delta_h 13.5 kcal
3 Fe+3 + 4 H2O = Fe3(OH)4+5 + 4 H+
-log_k -6.3
-delta_h 14.3 kcal
Fe+3 + Cl- = FeCl+2
-log_k 1.48
-delta_h 5.6 kcal
-gamma 5 0
Fe+3 + 2 Cl- = FeCl2+
-log_k 2.13
-gamma 5 0
Fe+3 + 3 Cl- = FeCl3
-log_k 1.13
Fe+3 + SO4-2 = FeSO4+
-log_k 4.04
-delta_h 3.91 kcal
-gamma 5 0
Fe+3 + HSO4- = FeHSO4+2
-log_k 2.48
Fe+3 + 2 SO4-2 = Fe(SO4)2-
-log_k 5.38
-delta_h 4.6 kcal
Fe+3 + HPO4-2 = FeHPO4+
-log_k 5.43
-delta_h 5.76 kcal
-gamma 5 0
Fe+3 + H2PO4- = FeH2PO4+2
-log_k 5.43
-gamma 5.4 0
Fe+3 + F- = FeF+2
-log_k 6.2
-delta_h 2.7 kcal
-gamma 5 0
Fe+3 + 2 F- = FeF2+
-log_k 10.8
-delta_h 4.8 kcal
-gamma 5 0
Fe+3 + 3 F- = FeF3
-log_k 14
-delta_h 5.4 kcal
Mn+2 + H2O = MnOH+ + H+
-log_k -10.59
-delta_h 14.4 kcal
-gamma 5 0
Mn+2 + 3 H2O = Mn(OH)3- + 3 H+
-log_k -34.8
-gamma 5 0
Mn+2 + Cl- = MnCl+
-log_k 0.61
-gamma 5 0
-Vm 7.25 -1.08 -25.8 -2.73 3.99 5 0 0 0 1
Mn+2 + 2 Cl- = MnCl2
-log_k 0.25
-Vm 1e-5 0 144
Mn+2 + 3 Cl- = MnCl3-
-log_k -0.31
-gamma 5 0
-Vm 11.8 0 0 0 2.4 0 0 0 3.6e-2 1
Mn+2 + CO3-2 = MnCO3
-log_k 4.9
Mn+2 + HCO3- = MnHCO3+
-log_k 1.95
-gamma 5 0
Mn+2 + SO4-2 = MnSO4
-log_k 2.25
-delta_h 3.37 kcal
-Vm -1.31 -1.83 62.3 -2.7
Mn+2 + 2 NO3- = Mn(NO3)2
-log_k 0.6
-delta_h -0.396 kcal
-Vm 6.16 0 29.4 0 0.9
Mn+2 + F- = MnF+
-log_k 0.84
-gamma 5 0
Mn+2 = Mn+3 + e-
-log_k -25.51
-delta_h 25.8 kcal
-gamma 9 0
Al+3 + H2O = AlOH+2 + H+
-log_k -5
-delta_h 11.49 kcal
-analytic -38.253 0 -656.27 14.327
-gamma 5.4 0
-Vm -1.46 -11.4 10.2 -2.31 1.67 5.4 0 0 0 1 # Barta and Hepler, 1986, Can. J. Chem. 64, 353
Al+3 + 2 H2O = Al(OH)2+ + 2 H+
-log_k -10.1
-delta_h 26.9 kcal
-gamma 5.4 0
-analytic 88.5 0 -9391.6 -27.121
Al+3 + 3 H2O = Al(OH)3 + 3 H+
-log_k -16.9
-delta_h 39.89 kcal
-analytic 226.374 0 -18247.8 -73.597
Al+3 + 4 H2O = Al(OH)4- + 4 H+
-log_k -22.7
-delta_h 42.3 kcal
-analytic 51.578 0 -11168.9 -14.865
-gamma 4.5 0
-dw 1.04e-9 # Mackin & Aller, 1983, GCA 47, 959
Al+3 + SO4-2 = AlSO4+
-log_k 3.5
-delta_h 2.29 kcal
-gamma 4.5 0
Al+3 + 2 SO4-2 = Al(SO4)2-
-log_k 5
-delta_h 3.11 kcal
-gamma 4.5 0
Al+3 + HSO4- = AlHSO4+2
-log_k 0.46
Al+3 + F- = AlF+2
-log_k 7
-delta_h 1.06 kcal
-gamma 5.4 0
Al+3 + 2 F- = AlF2+
-log_k 12.7
-delta_h 1.98 kcal
-gamma 5.4 0
Al+3 + 3 F- = AlF3
-log_k 16.8
-delta_h 2.16 kcal
Al+3 + 4 F- = AlF4-
-log_k 19.4
-delta_h 2.2 kcal
-gamma 4.5 0
# Al+3 + 5 F- = AlF5-2
# log_k 20.6
# delta_h 1.840 kcal
# Al+3 + 6 F- = AlF6-3
# log_k 20.6
# delta_h -1.670 kcal
H4SiO4 = H3SiO4- + H+
-log_k -9.83
-delta_h 6.12 kcal
-analytic -302.3724 -0.050698 15669.69 108.18466 -1119669
-gamma 4 0
-Vm 7.94 1.0881 5.3224 -2.824 1.4767 # supcrt + H2O in a1
H4SiO4 = H2SiO4-2 + 2 H+
-log_k -23
-delta_h 17.6 kcal
-analytic -294.0184 -0.07265 11204.49 108.18466 -1119669
-gamma 5.4 0
H4SiO4 + 4 H+ + 6 F- = SiF6-2 + 4 H2O
-log_k 30.18
-delta_h -16.26 kcal
-gamma 5 0
-Vm 8.5311 13.0492 .6211 -3.3185 2.7716 # supcrt
Ba+2 + H2O = BaOH+ + H+
-log_k -13.47
-gamma 5 0
Ba+2 + CO3-2 = BaCO3
-log_k 2.71
-delta_h 3.55 kcal
-analytic 0.113 0.008721
-Vm .2907 -7.0717 8.5295 -2.4867 -.03 # supcrt
Ba+2 + HCO3- = BaHCO3+
-log_k 0.982
-delta_h 5.56 kcal
-analytic -3.0938 0.013669
Ba+2 + SO4-2 = BaSO4
-log_k 2.7
Sr+2 + H2O = SrOH+ + H+
-log_k -13.29
-gamma 5 0
Sr+2 + CO3-2 + H+ = SrHCO3+
-log_k 11.509
-delta_h 2.489 kcal
-analytic 104.6391 0.04739549 -5151.79 -38.92561 563713.9
-gamma 5.4 0
Sr+2 + CO3-2 = SrCO3
-log_k 2.81
-delta_h 5.22 kcal
-analytic -1.019 0.012826
-Vm -.1787 -8.2177 8.9799 -2.4393 -.03 # supcrt
Sr+2 + SO4-2 = SrSO4
-log_k 2.29
-delta_h 2.08 kcal
-Vm 6.791 -.9666 6.13 -2.739 -.001 # celestite solubility
Li+ + SO4-2 = LiSO4-
-log_k 0.64
-gamma 5 0
Cu+2 + e- = Cu+
-log_k 2.72
-delta_h 1.65 kcal
-gamma 2.5 0
Cu+ + 2 Cl- = CuCl2-
-log_k 5.5
-delta_h -0.42 kcal
-gamma 4 0
Cu+ + 3 Cl- = CuCl3-2
-log_k 5.7
-delta_h 0.26 kcal
-gamma 5 0
Cu+2 + CO3-2 = CuCO3
-log_k 6.73
Cu+2 + 2 CO3-2 = Cu(CO3)2-2
-log_k 9.83
Cu+2 + HCO3- = CuHCO3+
-log_k 2.7
Cu+2 + Cl- = CuCl+
-log_k 0.43
-delta_h 8.65 kcal
-gamma 4 0
-Vm -4.19 0 30.4 0 0 4 0 0 1.94e-2 1
Cu+2 + 2 Cl- = CuCl2
-log_k 0.16
-delta_h 10.56 kcal
-Vm 26.8 0 -136
Cu+2 + 3 Cl- = CuCl3-
-log_k -2.29
-delta_h 13.69 kcal
-gamma 4 0
Cu+2 + 4 Cl- = CuCl4-2
-log_k -4.59
-delta_h 17.78 kcal
-gamma 5 0
Cu+2 + F- = CuF+
-log_k 1.26
-delta_h 1.62 kcal
Cu+2 + H2O = CuOH+ + H+
-log_k -8
-gamma 4 0
Cu+2 + 2 H2O = Cu(OH)2 + 2 H+
-log_k -13.68
Cu+2 + 3 H2O = Cu(OH)3- + 3 H+
-log_k -26.9
Cu+2 + 4 H2O = Cu(OH)4-2 + 4 H+
-log_k -39.6
2 Cu+2 + 2 H2O = Cu2(OH)2+2 + 2 H+
-log_k -10.359
-delta_h 17.539 kcal
-analytical 2.497 0 -3833
Cu+2 + SO4-2 = CuSO4
-log_k 2.31
-delta_h 1.22 kcal
-Vm 5.21 0 -14.6
Cu+2 + 3 HS- = Cu(HS)3-
-log_k 25.9
Zn+2 + H2O = ZnOH+ + H+
-log_k -8.96
-delta_h 13.4 kcal
Zn+2 + 2 H2O = Zn(OH)2 + 2 H+
-log_k -16.9
Zn+2 + 3 H2O = Zn(OH)3- + 3 H+
-log_k -28.4
Zn+2 + 4 H2O = Zn(OH)4-2 + 4 H+
-log_k -41.2
Zn+2 + Cl- = ZnCl+
-log_k 0.43
-delta_h 7.79 kcal
-gamma 4 0
-Vm 14.8 -3.91 -105.7 -2.62 0.203 4 0 0 -5.05e-2 1
Zn+2 + 2 Cl- = ZnCl2
-log_k 0.45
-delta_h 8.5 kcal
-Vm -10.1 4.57 241 -2.97 -1e-3
Zn+2 + 3 Cl- = ZnCl3-
-log_k 0.5
-delta_h 9.56 kcal
-gamma 4 0
-Vm 0.772 15.5 -0.349 -3.42 1.25 0 -7.77 0 0 1
Zn+2 + 4 Cl- = ZnCl4-2
-log_k 0.2
-delta_h 10.96 kcal
-gamma 5 0
-Vm 28.42 28 -5.26 -3.94 2.67 0 0 0 4.62e-2 1
Zn+2 + H2O + Cl- = ZnOHCl + H+
-log_k -7.48
Zn+2 + 2 HS- = Zn(HS)2
-log_k 14.94
Zn+2 + 3 HS- = Zn(HS)3-
-log_k 16.1
Zn+2 + CO3-2 = ZnCO3
-log_k 5.3
Zn+2 + 2 CO3-2 = Zn(CO3)2-2
-log_k 9.63
Zn+2 + HCO3- = ZnHCO3+
-log_k 2.1
Zn+2 + SO4-2 = ZnSO4
-log_k 2.37
-delta_h 1.36 kcal
-Vm 2.51 0 18.8
Zn+2 + 2 SO4-2 = Zn(SO4)2-2
-log_k 3.28
-Vm 10.9 0 -98.7 0 0 0 24 0 -0.236 1
Zn+2 + Br- = ZnBr+
-log_k -0.58
Zn+2 + 2 Br- = ZnBr2
-log_k -0.98
Zn+2 + F- = ZnF+
-log_k 1.15
-delta_h 2.22 kcal
Cd+2 + H2O = CdOH+ + H+
-log_k -10.08
-delta_h 13.1 kcal
Cd+2 + 2 H2O = Cd(OH)2 + 2 H+
-log_k -20.35
Cd+2 + 3 H2O = Cd(OH)3- + 3 H+
-log_k -33.3
Cd+2 + 4 H2O = Cd(OH)4-2 + 4 H+
-log_k -47.35
2 Cd+2 + H2O = Cd2OH+3 + H+
-log_k -9.39
-delta_h 10.9 kcal
Cd+2 + H2O + Cl- = CdOHCl + H+
-log_k -7.404
-delta_h 4.355 kcal
Cd+2 + NO3- = CdNO3+
-log_k 0.4
-delta_h -5.2 kcal
-Vm 5.95 0 -1.11 0 2.67 7 0 0 1.53e-2 1
Cd+2 + Cl- = CdCl+
-log_k 1.98
-delta_h 0.59 kcal
-Vm 5.69 0 -30.2 0 0 6 0 0 0.112 1
Cd+2 + 2 Cl- = CdCl2
-log_k 2.6
-delta_h 1.24 kcal
-Vm 5.53
Cd+2 + 3 Cl- = CdCl3-
-log_k 2.4
-delta_h 3.9 kcal
-Vm 4.6 0 83.9 0 0 0 0 0 0 1
Cd+2 + CO3-2 = CdCO3
-log_k 2.9
Cd+2 + 2 CO3-2 = Cd(CO3)2-2
-log_k 6.4
Cd+2 + HCO3- = CdHCO3+
-log_k 1.5
Cd+2 + SO4-2 = CdSO4
-log_k 2.46
-delta_h 1.08 kcal
-Vm 10.4 0 57.9
Cd+2 + 2 SO4-2 = Cd(SO4)2-2
-log_k 3.5
-Vm -6.29 0 -93 0 9.5 7 0 0 0 1
Cd+2 + Br- = CdBr+
-log_k 2.17
-delta_h -0.81 kcal
Cd+2 + 2 Br- = CdBr2
-log_k 2.9
Cd+2 + F- = CdF+
-log_k 1.1
Cd+2 + 2 F- = CdF2
-log_k 1.5
Cd+2 + HS- = CdHS+
-log_k 10.17
Cd+2 + 2 HS- = Cd(HS)2
-log_k 16.53
Cd+2 + 3 HS- = Cd(HS)3-
-log_k 18.71
Cd+2 + 4 HS- = Cd(HS)4-2
-log_k 20.9
Pb+2 + H2O = PbOH+ + H+
-log_k -7.71