Hydrolysis constant

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The word hydrolysis is applied to chemical reactions in which a substance reacts with water. In organic chemistry, the products of the reaction are usually molecular, being formed by combination with H and OH groups (e.g., hydrolysis of an ester to an alcohol and a carboxylic acid). In inorganic chemistry, the word most often applies to cations forming soluble hydroxide or oxide complexes with, in some cases, the formation of hydroxide and oxide precipitates.

Contents

Metal hydrolysis and associated equilibrium constant values

The hydrolysis reaction for a hydrated metal ion in aqueous solution can be written as:

p Mz+ + q H2O ⇌ Mp(OH)q(pz–q) + q H+

and the corresponding formation constant as:

and associated equilibria can be written as:

MOx(OH)z–2x(s) + z H+ ⇌ Mz+ + (z–x) H2O
MOx(OH)z–2x(s) + x H2O ⇌ Mz+ + z OH
p MOx(OH)z–2x(s) + (pz–q) H+ ⇌ Mp(OH)q(pz–q) + (pz–px–q) H2O

Aluminium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [1] Brown and Ekberg, 2016 [2] Hummel and Thoenen, 2023 [3]
Al3+ + H2O ⇌ AlOH2+ + H+–4.97−4.98 ± 0.02−4.98 ± 0.02
Al3+ + 2 H2O ⇌ Al(OH)2+ + 2 H+–9.3−10.63 ± 0.09−10.63 ± 0.09
Al3+ + 3 H2O ⇌ Al(OH)3 + 3 H+–15.0−15.66 ± 0.23−15.99 ± 0.23
Al3+ + 4 H2O ⇌ Al(OH)4 + 4 H+–23.0−22.91 ± 0.10−22.91 ± 0.10
2 Al3+ + 2 H2O ⇌ Al2(OH)24+ + 2 H+–7.7−7.62 ± 0.11−7.62 ± 0.11
3 Al3+ + 4 H2O ⇌ Al3(OH)45+ + 4 H+–13.94−14.06 ± 0.22−13.90 ± 0.12
13 Al3+ + 28 H2O ⇌ Al13O4(OH)247+ + 32 H+–98.73−100.03 ± 0.09−100.03 ± 0.09
α-Al(OH)3(s) + 3 H+ ⇌ Al3+ + 3 H2O8.57.75 ± 0.087.75 ± 0.08
γ-AlOOH(s) + 3 H+ ⇌ Al3+ + 2 H2O7.69 ± 0.159.4 ± 0.4

Americium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionNIST46 [4] Brown and Ekberg, 2016 [5] Grenthe et al, 2020 [6]
Am3+ + H2O ⇌ Am(OH)2+ + H+–6.5 ± 0.1–7.22 ± 0.03–7.2 ± 0.5
Am3+ + 2 H2O ⇌ Am(OH)2+ + 2 H+–14.1 ± 0.3–14.9 ± 0.2–15.1 ± 0.7
Am3+ + 3 H2O ⇌ Am(OH)3 + 3 H+–25.7–26.0 ± 0.2–26.2 ± 0.5
Am3+ + 3 H2O ⇌ Am(OH)3(am) + 3 H+–16.9 ± 0.1–16.9 ± 0.8–16.9 ± 0.8
Am3+ + 3 H2O ⇌ Am(OH)3(cr) + 3 H+–15.2–15.62 ± 0.04–15.6 ± 0.6

Americium(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [7] Grenthe et al, 2020 [6]
AmO2+ + H2O ⇌ AmO2(OH) + H+–10.7 ± 0.2
AmO2+ + 2 H2O ⇌ AmO2(OH)2 + 2 H+–22.9 ± 0.7
AmO2+ + H2O ⇌ AmO2(OH)(am) + H+–5.4 ± 0.4–5.3 ± 0.5

Antimony(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [8] Lothenbach et al., 1999; [9]

Kitamura et al., 2010 [10]

Filella and May, 2003 [11]
Sb(OH)3 + H+ ⇌ Sb(OH)2+ + H2O1.411.301.371
Sb(OH)3 + H2O ⇌ Sb(OH)4 + H+‒11.82‒11.93‒11.70
0.5 Sb2O3(s) + 1.5 H2O ⇌ Sb(OH)3‒4.24
Sb2O3(rhombic,s) + 3 H2O ⇌ 2 Sb(OH)3‒8.72‒10.00
Sb2O3(cubic,s) + 3 H2O ⇌ 2 Sb(OH)3‒11.40

Antimony(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [8] Lothenbach et al., 1999; [9] Kitamura et al., 2010 [10]
Sb(OH)5 + H2O ⇌ Sb(OH)6 + H+‒2.72‒2.72
12 Sb(OH)5 + 4 H2O ⇌ Sb12(OH)644‒ + 4 H+20.3420.34
12 Sb(OH)5 + 5 H2O ⇌ Sb12(OH)655‒ + 5 H+16.7216.72
12 Sb(OH)5 + 6 H2O ⇌ Sb12(OH)666‒ + 6 H+11.8911.89
12 Sb(OH)5 + 7 H2O ⇌ Sb12(OH)677‒ + 7 H+6.076.07
0.5 Sb2O5(s) + 2.5 H2O ⇌ Sb(OH)5‒3.7
Sb2O5(am) + 5 H2O ⇌ 2 Sb(OH)5‒7.400

Arsenic(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [12] Nordstrom and Archer, 2003 [13] Nordstrom et al., 2014 [14]
As(OH)4 + H+ ⇌ As(OH)3 + H2O9.299.179.24 ± 0.02

Arsenic(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer [12] Khodakovsky et al. (1968) [15] Nordstrom and Archer, 2003 [13] Nordstrom et al., 2014 [14]
H2AsO4 + H+ ⇌ H3AsO42.242.212.26 ± 0.0782.25 ± 0.04
HAsO42‒ + H+ ⇌ H2AsO46.936.99 ± 0.16.98 ± 0.11
AsO43‒ + H+ ⇌ HAsO42‒11.5111.80 ± 0.111.58 ± 0.05
HAsO42‒ + 2 H+ ⇌H3AsO49.20
AsO43‒ + 3 H+ ⇌ H3AsO420.70

Barium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [16] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [18]
Ba2+ + H2O ⇌ BaOH+ + H+–13.47–13.47–13.32 ± 0.07

Berkelium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [19]
Bk3+ + 3 H2O ⇌ Bk(OH)3(s) + 3 H+–13.5 ± 1.0

Beryllium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [20]
Be2+ + H2O ⇌ BeOH+ + H+–5.10
Be2+ + 2 H2O ⇌ Be(OH)2 + 2 H+–23.65
Be2+ + 3 H2O ⇌ Be(OH)3 + 3 H+–23.25
Be2+ + 4 H2O ⇌ Be(OH)42– + 4 H+–37.42
2 Be2+ + H2O ⇌ Be2OH3+ + H+–3.97
3 Be2+ + 3 H2O ⇌ Be3(OH)33+ + 3 H+–8.92
6 Be2+ + 8 H2O ⇌ Be6(OH)84+ + 8 H+–27.2
α-Be(OH)2(cr) + 2 H+ ⇌ Be2+ + 2 H2O6.69

Bismuth

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [21] Lothenbach et

al., 1999 [9]

NIST46 [4] Kitamura et

al., 2010 [10]

Brown and

Ekberg, 2016 [22]

Bi3+ + H2O ⇌ BiOH2+ + H+–1.0–0.92–1.1–0.920–0.92 ± 0.15
Bi3+ + 2 H2O ⇌ Bi(OH)2+ + 2 H+(–4)–2.56–4.5–2.560 ± 1.000–2.59 ± 0.26
Bi3+ + 3 H2O ⇌ Bi(OH)3 + 3 H+–8.86–5.31–9.0–8.940 ± 0.500–8.78 ± 0.20
Bi3+ + 4 H2O ⇌ Bi(OH)4 + 4 H+–21.8–18.71–21.2–21.660 ± 0.870–22.06 ± 0.14
3 Bi3+ + 4 H2O ⇌ Bi3(OH)45+ + 4 H+–0.80–0.800
6 Bi3+ + 12 H2O ⇌ Bi6(OH)126+ + 12 H+1.341.3400.98 ± 0.13
9 Bi3+ + 20 H2O = Bi9(OH)207+ + 20 H+–1.36–1.360
9 Bi3+ + 21 H2O = Bi9(OH)216+ + 21 H+–3.25–3.250
9 Bi3+ + 22 H2O = Bi9(OH)225+ + 22 H+–4.86–4.860
Bi(OH)3(am) + 3 H+ = Bi3+ + 3 H2O31.501 ± 0.927
α-Bi2O3(cr) + 6 H+ = 2 Bi3+ + 3 H2O0.76
BiO1.5(s, α) + 3 H+ = Bi3+ + 1.5 H2O3.4631.501 ± 0.9272.88 ± 0.64

Boron

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [23] NIST46 [4]
B(OH)3 + H2O ⇌ Be(OH)4+ + H+–9.236–9.236 ± 0.002
2 B(OH)3 ⇌ B2(OH)5 + H+–9.36–9.306
3 B(OH)3 ⇌ B3O3(OH)4 + H+ + 2 H2O–7.03–7.306
4 B(OH)3 ⇌ B4O5(OH)42– + 2 H+ + 3 H2O–16.3–15.032

Cadmium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [24] Powell et al., 2011 [25] Brown and Ekberg, 2016 [26]
Cd2+ + H2O ⇌ CdOH+ + H+−10.08–9.80 ± 0.10−9.81 ± 0.10
Cd2+ + 2 H2O ⇌ Cd(OH)2 + 2 H+–20.35–20.19 ± 0.13−20.6 ± 0.4
Cd2+ + 3 H2O ⇌ Cd(OH)3 + 3 H+<–33.3–33.5 ± 0.5−33.5 ± 0.5
Cd2+ + 4 H2O ⇌ Cd(OH)42– + 4 H+–47.35–47.28 ± 0.15−47.25 ± 0.15
2 Cd2+ + H2O ⇌ Cd2OH3+ + H+–9.390–8.73 ± 0.01−8.74 ± 0.10
4 Cd2+ + 4 H2O ⇌ Cd4(OH)44+ + H+–32.85
Cd(OH)2(s) ⇌ Cd2+ + 2 OH–14.28 ± 0.12
Cd(OH)2(s) + 2 H+ ⇌ Cd2+ + 2 H2O13.6513.72 ± 0.1213.71 ± 0.12

Calcium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [16] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [27]
Ca2+ + H2O ⇌ CaOH+ + H+–12.85–12.78–12.57 ± 0.03
Ca(OH)2(cr) + 2 H+ ⇌ Ca2+ + 2 H2O22.8022.822.75 ± 0.02

Californium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [19]
Cf3+ + 3 H2O ⇌ Bk(OH)3(s) + 3 H+–13.0 ± 1.0

Cerium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] NIST46 [4] Brown and Ekberg, 2016 [29]
Ce3+ + H2O ⇌ CeOH2+ + H+–8.3–8.3–8.31 ± 0.03
2 Ce3+ + 2 H2O ⇌ Ce2(OH)24+ + 2 H+–16.0 ± 0.2
3 Ce3+ + 5 H2O ⇌ Ce3(OH)54+ + 5 H+–34.6 ± 0.3
Ce(OH)3(s) + 3 H+ ⇌ Ce3+ + 3 H2O18.5 ± 0.5
Ce(OH)3(s) ⇌ Ce3+ + 3 OH–22.1 ± 0.9

Chromium(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K (The divalent state is unstable in water, producing hydrogen whilst being oxidised to a higher valency state (Baes and Mesmer, 1976). The reliability of the data is in doubt.):

ReactionNIST46 [4] Ball and Nordstrom, 1988 [30]
Cr2+ + H2O ⇌ CrOH+ + H+–5.5
Cr(OH)2(s) ⇌ Cr2+ + 2 OH–17 ± 0.02

Chromium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [31] Rai et al., 1987 [32] Ball and Nordstrom, 1988 [30] Brown and Ekberg, 2016 [33]
Cr3+ + H2O ⇌ CrOH2+ + H+–4.0–3.57 ± 0.08–3.60 ± 0.07
Cr3+ + 2 H2O ⇌ Cr(OH)2+ + 2 H+–9.7–9.84–9.65 ± 0.20
Cr3+ + 3 H2O ⇌ Cr(OH)3 + 3 H+–18–16.19–16.25 ± 0.19
Cr3+ + 4 H2O ⇌ Cr(OH)4 + 4 H+–27.4–27.65 ± 0.12–27.56 ± 0.21
2 Cr3+ + 2 H2O ⇌ Cr2(OH)24+ + 2 H+–5.06–5.0–5.29 ± 0.16
3 Cr3+ + 4 H2O ⇌ Cr3(OH)45+ + 4 H+–8.15–10.75 ± 0.15–9.10 ± 0.14
Cr(OH)3(s) + 3 H+ ⇌ Cr3+ + 3 H2O129.359.41 ± 0.17
Cr2O3(s) + 6 H+ ⇌ 2 Cr3+ + 3 H2O8.52
CrO1.5(s) + 3 H+ ⇌ Cr3+ + 1.5 H2O7.83 ± 0.10

Chromium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [34] Ball and Nordstrom, 1998 [30]
CrO42– + H+ ⇌ HCrO46.516.55 ± 0.04
HCrO4 + H+ ⇌ H2CrO4–0.20
CrO42– + 2 H+ ⇌ H2CrO46.31
2 HCrO4 ⇌ Cr2O72– + H2O1.523
2 CrO42– + 2 H+ ⇌ Cr2O72– + H2O14.7 ± 0.1

Cobalt(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [35] Brown and Ekberg, 2016 [36]
Co2+ + H2O ⇌ CoOH+ + H+–9.65−9.61 ± 0.17
Co2+ + 2 H2O ⇌ Co(OH)2 + 2 H+–18.8−19.77 ± 0.11
Co2+ + 3 H2O ⇌ Co(OH)3 + 3 H+–31.5−32.01 ± 0.33
Co2+ + 4 H2O ⇌ Co(OH)42– + 4 H+–46.3
2 Co2+ + H2O ⇌ Co2(OH)3+ + H+–11.2
4 Co2+ + 4 H2O ⇌ Co4(OH)44+ + 4H+–30.53
Co(OH)2(s) + 2 H+ ⇌ Co2+ + 2 H2O12.313.24 ± 0.12
CoO(s) + 2 H+ ⇌ Co2+ + H2O13.71 ± 0.10

Cobalt(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [37]
Co3+ + H2O ⇌ CoOH2+ + H+−1.07 ± 0.11

Copper(I)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [38]
Cu+ + H2O ⇌ CuOH + H+–7.8 ± 0.4
Cu+ + 2 H2O ⇌ Cu(OH)2 + 2 H+–18.6 ± 0.6

Copper(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [39] NIST46 [4] Plyasunova et al., 1997 [40] Powell et al., 2007 [41] Brown and Ekberg, 2016 [38]
Cu2+ + H2O ⇌ CuOH+ + H+< –8–7.7–7.97 ± 0.09–7.95 ± 0.16–7.64 ± 0.17
Cu2+ + 2 H2O ⇌ Cu(OH)2 + 2 H+(< –17.3)–17.3–16.23 ± 0.15–16.2 ± 0.2–16.24 ± 0.03
Cu2+ + 3 H2O ⇌ Cu(OH)3 + 3 H+(< –27.8)–27.8–26.63 ± 0.40–26.60 ± 0.09–26.65 ± 0.13
Cu2+ + 4 H2O ⇌ Cu(OH)42– + 4 H+–39.6–39.6–39.73 ± 0.17–39.74 ± 0.18–39.70 ± 0.19
2 Cu2+ + H2O ⇌ Cu2(OH)3+ + H+–6.71 ± 0.30–6.40 ± 0.12–6.41 ± 0.17
2 Cu2+ + 2 H2O ⇌ Cu2(OH)22+ + 2 H+–10.36–10.3–10.55 ± 0.17–10.43 ± 0.07–10.55 ± 0.02
3 Cu2+ + 4 H2O ⇌ Cu3(OH)42+ + 4 H+–20.95 ± 0.30–21.1 ± 0.2–21.2 ± 0.4
CuO(s) + 2 H+ ⇌ Cu2+ + H2O7.627.64 ± 0.067.64 ± 0.067.63 ± 0.05
Cu(OH)2(s) + 2 H+ ⇌ Cu2+ + 2 H2O8.67 ± 0.058.68 ± 0.10

Curium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [42]
Cm3+ + H2O ⇌ Cm(OH)2+ + H+−7.66 ± 0.07
Cm3+ + 2 H2O ⇌ Cm(OH)2+ + 2 H+−15.9 ± 0.1
Cm3+ + 3 H2O ⇌ Cm(OH)3(s) + 3 H+−13.9 ± 0.4

Dysprosium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [43]
Dy3+ + H2O ⇌ DyOH2+ + H+−8.0−7.53 ± 0.14
Dy3+ + 2 H2O ⇌ Dy(OH)2+ + 2 H+(–16.2)
Dy3+ + 3 H2O ⇌ Dy(OH)3 + 3 H+(–24.7)
Dy3+ + 4 H2O ⇌ Dy(OH)4 + 4 H+–33.5
2 Dy3+ + 2 H2O ⇌ Dy2(OH)24+ + 2 H+−13.76 ± 0.20
3 Dy3+ + 5 H2O ⇌ Dy3(OH)54+ + 5 H+−30.6 ± 0.3
Dy(OH)3(s) + 3 H+ ⇌ Dy3+ + 3 H2O15.916.26 ± 0.30
Dy(OH)3(c) + OH ⇌ Dy(OH)4−3.6
Dy(OH)3(c) ⇌ Dy(OH)3−8.8

Erbium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [44]
Er3+ + H2O ⇌ ErOH2+ + H+−7.9−7.46 ± 0.09
Er3+ + 2 H2O ⇌ Er(OH)2+ + 2 H+(−15.9)
Er3+ + 3 H2O ⇌ Er(OH)3 + 3 H+(−24.2)
Er3+ + 4 H2O ⇌ Er(OH)4 + 4 H+−32.6
2 Er3+ + 2 H2O ⇌ Er2(OH)24+ + 2 H+−13.65−13.50 ± 0.20
3 Er3+ + 5 H2O ⇌ Er3(OH)54+ + 5 H+<−29.3−31.0 ± 0.3
Er(OH)3(s) + 3 H+ ⇌ Er3+ + 3 H2O15.015.79 ± 0.30
Er(OH)3(c) + OH ⇌ Er(OH)4−3.6
Er(OH)3(c) ⇌ Er(OH)3~ −9.2

Europium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] NIST46 [4] Hummel et al., 2002 [45] Brown and Ekberg, 2016 [29]
Eu3+ + H2O ⇌ EuOH2+ + H+–7.8–7.64 ± 0.04–7.66 ± 0.05
Eu3+ + 2 H2O ⇌ Eu(OH)2+ + 2 H+–15.1 ± 0.2
Eu3+ + 3 H2O ⇌ Eu(OH)3 + 3 H+–23.7 ± 0.1
Eu3+ + 4 H2O ⇌ Eu(OH)4 + 4 H+–36.2 ± 0.5
2 Eu3+ + 2 H2O ⇌ Eu2(OH)24+ + 2 H+-–14.1 ± 0.2
3 Eu3+ + 5 H2O ⇌ Eu3(OH)54+ + 5 H+-–32.0 ± 0.3
Eu(OH)3(s) + 3 H+ ⇌ Eu3+ + 3 H2O17.517.6 ± 0.8 (am)

14.9 ± 0.3 (cr)

16.48 ± 0.30
Eu(OH)3(s) ⇌ Eu3+ + 3 OH–24.5 ± 0.7 (am)

–26.5 (cr)

Gadolinium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [46]
Gd3+ + H2O ⇌ GdOH2+ + H+–8.0–7.87 ± 0.05
Gd3+ + 2 H2O ⇌ Gd(OH)2+ + 2 H+(–16.4)
Gd3+ + 3 H2O ⇌ Gd(OH)3 + 3 H+(–25.2)
Gd3+ + 4 H2O ⇌ Gd(OH)4 + 4 H+–34.4
2 Gd3+ + 2 H2O ⇌ Gd2(OH)24+ + 2 H+–14.16 ± 0.20
3 Gd3+ + 5 H2O ⇌ Gd3(OH)54+ + 5 H+–33.0 ± 0.3
Gd(OH)3(s) + 3 H+ ⇌ Gd3+ + 3 H2O15.617.20 ± 0.48
Gd(OH)3(c) + OH ⇌ Gd(OH)4–4.8
Gd(OH)3(c) ⇌ Gd(OH)3–9.6

Gallium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [47] Smith et al., 2003 [48] Brown and Ekberg, 2016 [49]
Ga3+ + H2O ⇌ GaOH2+ + H+–2.6–2.897–2.74
Ga3+ + 2 H2O ⇌ Ga(OH)2+ + 2 H+–5.9–6.694–7.0
Ga3+ + 3 H2O ⇌ Ga(OH)3 + 3 H+–10.3–11.96
Ga3+ + 4 H2O ⇌ Ga(OH)4 + 4 H+–16.6–16.588–15.52
Ga(OH)3(s) ⇌ Ga3+ + 3 OH–37–37.0
GaO(OH)(s) + H2O ⇌ Ga3+ + 3 OH–39.06–39.1–40.51

Germanium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [50] Wood and Samson, 2006 [51] Filella and May, 2023 [52]
Ge(OH)4 ⇌ GeO(OH)3 + H+–9.31–9.32 ± 0.05–9.099
Ge(OH)4 ⇌ GeO2(OH)22+ + 2 H+–21.9
GeO2(OH)22– + H+ ⇌ GeO(OH)312.76
8 Ge(OH)4 ⇌ Ge8O16(OH)33- + 13 H2O + 3 H+–14.24
8 Ge(OH)4 + 3 OH ⇌ Ge8(OH)353–28.33
GeO2(s, hexa) + 2 H2O ⇌ Ge(OH)4–1.35–1.373
GeO2(s, tetra) + 2 H2O ⇌ Ge(OH)4-4.37–5.02–4.999

Gold(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [53]
Au(OH)3 +2 H+ ⇌ AuOH2+ + 2 H2O1.51
Au(OH)3 + H+ ⇌ Au(OH)2+ + H2O< 1.0
Au(OH)3 + H2O ⇌ Au(OH)4 + H+–11.77
Au(OH)3 + 2 H2O ⇌ Au(OH)52– + 2 H+–25.13
Au(OH)52– + 3 H2O ⇌ Au(OH)63– + 3 H+< –41.1
Au(OH)3(c) ⇌ Au(OH)3–5.51

Hafnium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [54] Brown and Ekberg, 2016 [55]
Hf4+ + H2O ⇌ HfOH3+ + H+–0.25−0.26 ± 0.10
Hf4+ + 2 H2O ⇌ Hf(OH)22+ + 2 H+(–2.4)
Hf4+ + 3 H2O ⇌ Hf(OH)3+ + 3 H+(–6.0)
Hf4+ + 4 H2O ⇌ Hf(OH)4 + 4 H+–10.7*−3.75 ± 0.34*
Hf4+ + 5 H2O ⇌ Hf(OH)5 + 5 H+–17.2
3 Hf4+ + 4 H2O ⇌ Hf3(OH)48+ + 4 H+0.55 ± 0.30
4 Hf4+ + 8 H2O ⇌ Hf4(OH)88+ + 8 H+6.00 ± 0.30
HfO2(s) + 4 H+ ⇌ Hf4+ + 2 H2O–1.2*–5.56 ± 0.15*
HfO2(am) + 4 H+ ⇌ Hf4+ + 2 H2O–3.11 ± 0.20

*Errors in compilations concerning equilibrium and/or data elaboration. Data not recommended. Strongly suggested to refer to the original papers.

Holmium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [56]
Ho3+ + H2O ⇌ HoOH2+ + H+−8.0−7.43 ± 0.05
2 Ho3+ + 2 H2O ⇌ Ho2(OH)24+ + 2 H+−13.5 ± 0.2
3 Ho3+ + 5 H2O ⇌ Ho3(OH)54+ + 5 H+−30.9 ± 0.3
Ho(OH)3(s) + 3 H+ ⇌ Ho3+ + 3 H2O15.415.60 ± 0.30

Indium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [57] NIST46 [4] Brown and Ekberg, 2016 [58]
In3+ + H2O ⇌ InOH2+ + H+–4.00–3.927–3.96
In3+ + 2 H2O ⇌ In(OH)2+ + 2 H+–7.82–7.794–9.16
In3+ + 3 H2O ⇌ In(OH)3 + 3 H+–12.4–12.391
In3+ + 4 H2O ⇌ In(OH)4 + 4 H+–22.07–22.088–22.05
In(OH)3(s) ⇌ In3+ + 3 OH–36.92–36.9–36.92
1/2 In2O3(s) + 3/2 H2O ⇌ In3+ + 3 OH–35.24

Iridium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [59]
Ir3+ + H2O ⇌ IrOH2+ + H+‒3.77 ± 0.10
Ir3+ + 2 H2O ⇌ Ir(OH)2+ + 2 H+‒8.46 ± 0.20
Ir(OH)3(s) + 3 H+ ⇌ Ir3+ + 3 H2O8.88 ± 0.20

Iron(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [60] Nordstrom et al., 1990 [17] Hummel et al., 2002 [45] Lemire et al., 2013 [61] Brown and Ekberg, 2016 [62]
Fe2+ + H2O ⇌ FeOH+ + H+–9.3–9.5–9.5–9.1 ± 0.4−9.43 ± 0.10
Fe2+ + 2 H2O ⇌ Fe(OH)2 + 2 H+–20.5−20.52 ± 0.08
Fe2+ + 3 H2O ⇌ Fe(OH)3 + 3 H+–29.4−32.68 ± 0.15
Fe(OH)2(s) +2 H+ ⇌ Fe2+ + 2 H2O12.27 ± 0.88

Iron(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [60] Lemire et al., 2013 [61] Brown and Ekberg, 2016 [63]
Fe3+ + H2O ⇌ FeOH2+ + H+–2.19−2.15 ± 0.07–2.20 ± 0.02
Fe3+ + 2 H2O ⇌ Fe(OH)2+ + 2 H+–5.67−4.8 ± 0.4–5.71 ± 0.10
Fe3+ + 3 H2O ⇌ Fe(OH)3 + 3 H+<–12<–14–12.42 ± 0.20
Fe3+ + 4 H2O ⇌ Fe(OH)4 + 4 H+–21.6−21.5 ± 0.5–21.60 ± 0.23
2 Fe3+ + 2 H2O ⇌ Fe2(OH)24+ + 2 H+–2.95–2.91 ± 0.07–2.91 ± 0.07
3 Fe3+ + 4 H2O ⇌ Fe3(OH)45+ + 4 H+–6.3−6.3 ± 0.1
Fe(OH)3(s) +3 H+ ⇌ Fe3+ + 3 H2O

2-line ferrihydrite

2.53.53.50 ± 0.20
Fe(OH)3(s) ⇌ Fe3+ + 3 OH

6-line ferrihydrite

−38.97 ± 0.64
α-FeOOH(s)+ 3 H+ ⇌ Fe3+ + 2 H2O

goethite

0.50.33 ± 0.10
α-FeOOH + H2O ⇌ Fe3+ + 3 OH

goethite

−41.83 ± 0.37
0.5 α-Fe2O3(s)+ 3 H+ ⇌ Fe3+ + 1.5 H2O

hematite

0.36 ± 0.40
0.5 α-Fe2O3 + 1.5 H2O ⇌ Fe3+ + 3 OH

hematite

−42.05 ± 0.26
0.5 γ-Fe2O3(s) + 3 H+ ⇌ Fe3+ + 1.5 H2O

maghemite

1.61 ± 0.61
0.5 γ-Fe2O3 + 1.5 H2O ⇌ Fe3+ + 3 OH

maghemite

−40.59 ± 0.29
α-FeOOH(s)+ 3 H+ ⇌ Fe3+ + 2 H2O

goethite

1.85 ± 0.37
γ-FeOOH + H2O ⇌ Fe3+ + 3 OH

lepidocrocite

−40.13 ± 0.37
Fe(OH)3(s) + 3 H+ ⇌ Fe3+ + 3 H2O

magnetite

−12.26 ± 0.26

Lanthanum

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [64] Brown and Ekberg, 2016 [29]
La3+ + H2O ⇌ LaOH2+ + H+–8.5–8.89 ± 0.10
2 La3+ + 2 H2O ⇌ La2(OH)24+ + 2 H+≤ –17.5–17.57 ± 0.20
3 La3+ + 5 H2O ⇌ La3(OH)54+ + 5 H+≤ –38.3–37.8 ± 0.3
5 La3+ + 9 H2O ⇌ La5(OH)96+ + 9 H+–71.2
La(OH)3(s) + 3 H+ ⇌ La3+ + 3 H2O20.319.72 ± 0.34

Lead(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [65] NIST46 [4] Powell et al, 2009 [66] Brown and Ekberg, 2016 [29] Cataldo et al., 2018 [67]
Pb2+ + H2O ⇌ PbOH+ + H+–7.71–7.6–7.46 ± 0.06–7.49 ± 0.13–6.47± 0.03
Pb2+ + 2 H2O ⇌ Pb(OH)2 + 2 H+–17.12–17.1–16.94 ± 0.09–16.99 ± 0.06–16.12 ± 0.01
Pb2+ + 3 H2O ⇌ Pb(OH)3- + 3 H+–28.06–28.1–28.03± 0.06–27.94 ± 0.21–28.4 ± 0.1
Pb2+ + 4 H2O ⇌ Pb(OH)42- + 4 H+–40.8
2 Pb2+ + H2O ⇌ Pb2(OH)3+ + H+–6.36–6.4–7.28± 0.09–6.73 ± 0.31
3 Pb2+ + 4 H2O ⇌ Pb3(OH)42+ + 4 H+–23.88–23.9–23.01 ± 0.07–23.43 ± 0.10
3 Pb2+ + 5 H2O ⇌ Pb3(OH)5+ + 5 H+–31.11 ± 0.10
4 Pb2+ + 4 H2O ⇌ Pb4(OH)44+ + 4 H+–20.88–20.9–20.57± 0.06–20.71 ± 0.18
6 Pb2+ + 8 H2O ⇌ Pb6(OH)84+ + 8 H+–43.61–43.6–42.89± 0.07–43.27 ± 0.47
PbO(s) + 2 H+ ⇌ Pb2+ + H2O12.62 (red)

12.90 (yellow)

PbO(s) +H2O ⇌ Pb2+ + 2 OH–15.28 (red)-15.3–15.3 (red)

–15.1 (yellow)

–15.37 ± 0.04 (red)

–15.1 ± 0.08 (yellow)

Pb2O(OH)2(s) +H2O ⇌ 2 Pb2+ + 4 OH–14.9
PbO(s) +H2O ⇌ Pb(OH)2–4.4 (red)

–4.2 (yellow)

Pb2O(OH)2(s) +H2O ⇌ 2 Pb(OH)2–4.0
PbO(s) + 2 H2O ⇌ Pb(OH)3 + H+–1.4 (red)

–1.2 (yellow)

Pb2O(OH)2(s) + 2 H2O ⇌ 2 Pb(OH)3 + 2 H+–1.0

Lead(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionFeitknecht and Schindler, 1963 [68]
β-PbO2 + 2 H2O ⇌ Pb4+ + 4 OH–64
β-PbO2 + 2 H2O + 2 OH ⇌ Pb(OH)62––4.5

Lithium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [69] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [70]
Li+ + H2O ⇌ LiOH + H+–13.64–13.64–13.84 ± 0.14

Magnesium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [71] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [72]
Mg2+ + H2O ⇌ MgOH+ + H+–11.44–11.44–11.70 ± 0.04
4 Mg2+ + 4 H2O ⇌ Mg4(OH)44+ + 4 H+–39.71
Mg(OH)2(cr) + 2 H+ ⇌ Mg2+ + 2 H2O16.8416.8417.11 ± 0.04

Manganese(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionPerrin et al., 1969 [73] Baes and Mesmer, 1976 [74] Nordstrom et al., 1990 [17] Hummel et al., 2002 [45] Brown and Ekberg, 2016 [75]
Mn2+ + H2O ⇌ MnOH+ + H+–10.59–10.59–10.59–10.59−10.58 ± 0.04
Mn2+ + 2 H2O ⇌ Mn(OH)2 + 2 H+–22.2−22.18 ± 0.20
Mn2+ + 3 H2O ⇌ Mn(OH)3 + 3 H+–34.8−34.34 ± 0.45
Mn2+ + 4 H2O ⇌ Mn(OH)42– + 4 H+–48.3−48.28 ± 0.40
2 Mn2+ + H2O ⇌ Mn2OH3+ + H+–10.56
2 Mn2+ + 3 H2O ⇌ Mn2(OH)3+ + 6 H+–23.90
Mn(OH)2(s) + 2 H+ ⇌ Mn2+ + 2 H2O15.215.215.215.19 ± 0.10
MnO(s) + 2 H+ ⇌ Mn2+ + H2O17.94 ± 0.12

Manganese(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [76]
Mn3+ + H2O ⇌ MnOH2+ + H+–11.70 ± 0.04

Mercury(I)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [77] Brown and Ekberg, 2016 [78]
Hg22+ + H2O ⇌ Hg2OH+ + H+−5.0a−4.45 ± 0.10

(a) 0.5 M HClO4

Mercury(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [79] Powell et all, 2005 [80] Brown and Ekberg, 2016 [76]
Hg2+ + H2O ⇌ HgOH+ + H+−3.40–3.40 ± 0.08–3.40 ± 0.08
Hg2+ + 2 H2O ⇌ Hg(OH)2 + 2 H+-6.17–5.98 ± 0.06−5.96 ± 0.07
Hg2+ + 3 H2O ⇌ Hg(OH)3 + 3 H+–21.1–21.1 ± 0.3
HgO(s) + 2 H+ ⇌ Hg2+ + H2O2.562.37 ± 0.082.37 ± 0.08

Molybdenum(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution, T = 298.15 K and I = 3 M NaClO4 (a) or 0.1 M Na+ medium, Data at I = 0 are not available (b):

ReactionBaes and Mesmer, 1976 [81] Jolivet, 2000 [82] NIST46 [4] Crea et al., 2017 [83]
MoO42– + H+ ⇌ HMoO43.89a4.244.47 ± 0.02
MoO42– + 2 H+ ⇌ H2MoO47.50a8.12 ± 0.03
HMoO4 + H+ ⇌ H2MoO44.0
Mo7O246– + H+ ⇌ HMo7O245–4.4
HMo7O245– + H+ ⇌ H2Mo7O244–3.5
H2Mo7O244– + H+ ⇌ H3Mo7O243–2.5
7 MoO42-+ 8 H+ ⇌ Mo7O246– + 4 H2O57.74a52.99b51.93 ± 0.04
7 MoO42– + 9 H+ ⇌ Mo7O23(OH)5– + 4 H2O62.14a58.90 ± 0.02
7 MoO42– + 10 H+ ⇌ Mo7O22(OH)24– + 4 H2O65.68a64.63 ± 0.05
7 MoO42– + 11 H+ ⇌ Mo7O21(OH)33– + 4 H2O68.21a68.68 ± 0.06
19 MoO42- + 34 H+ ⇌ Mo19O594– + 17 H2O196.3a196a
MoO3(s) + H2O ⇌ MoO42– + 2 H+–12.06a

Neodymium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] NIST46 [4] Neck et al., 2009 [84] Brown and Ekberg, 2016 [29]
Nd3+ + H2O ⇌ NdOH2+ + H+–8.0–8.0–7.4 ± 0.4–8.13 ± 0.05
Nd3+ + 2 H2O ⇌ Nd(OH)2+ + 2 H+(–16.9)–15.7 ± 0.7
Nd3+ + 3 H2O ⇌ Nd(OH)3(aq) + 3 H+(–26.5)–26.2 ± 0.5
Nd3+ + 4 H2O ⇌ Nd(OH)4 + 4 H+(–37.1)–37.4–40.7 ± 0.7
2 Nd3+ + 2 H2O ⇌ Nd2(OH)24+ + 2 H+–13.86–13.9–15.56 ± 0.20
3 Nd3+ + 5 H2O ⇌ Nd3(OH)54+ + 5 H+< –28.5–34.2 ± 0.3
Nd(OH)3(s) + 3 H+ ⇌ Nd3+ + 3 H2O18.617.2 ± 0.417.89 ± 0.09
Nd(OH)3(s) ⇌ Nd3+ + 3 OH–23.2 ± 0.9–21.5 (act)

–23.1(inact)

Neptunium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [85] Grenthe et al, 2020 [6]
Np3+ + H2O ⇌ NpOH2+ + H+-7.3 ± 0.5–6.8 ± 0.3

Neptunium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [86] NIST46 [4] Brown and Ekberg, 2016 [87] Grenthe et al, 2020 [6]
Np4+ + H2O ⇌ NpOH3+ + H+–1.49–1.5–1.31 ± 0.050.5 ± 0.2
Np4+ + 2 H2O ⇌ Np(OH)22+ + 2 H+–3.7 ± 0.30.3 ± 0.3
Np4+ + 4 H2O ⇌ Np(OH)4 + 4 H+–10.0 ± 0.9–8 ± 1
Np4+ + 4 OH ⇌ NpO2(am, hyd) + 2 H2O5254.9 ± 0.457.5 ± 0.356.7 ± 0.5

Neptunium(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [86] Brown and Ekberg, 2016 [88] Grenthe et al, 2020 [6]
NpO2+ + + H2O ⇌ NpO2(OH) + H+–8.85–10.7 ± 0.5–11.3 ± 0.7
NpO2+ + 2 H2O ⇌ NpO2(OH)2 + 2 H+–22.8 ± 0.7–23.6 ± 0.5
NpO2+ + H2O ⇌ NpO2(OH)(am, fresh) + H+≤ –4.7–5.21 ± 0.05–5.3 ± 0.2
NpO2+ + H2O ⇌ NpO2(OH)(am, aged) + H+–4.53 ± 0.06–4.7 ± 0.5

Neptunium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer,

1976 [89]

NIST46 [4] Brown and Ekberg,

2016 [90]

Grenthe et

al, 2020 [6]

NpO22+ + H2O ⇌ NpO2(OH)+ + H+–5.15–5.12–5.1 ± 0.2–5.1 ± 0.4
NpO22+ + 3 H2O ⇌ NpO2(OH)3 + 3 H+–21 ± 1
NpO22+ + 4 H2O ⇌ NpO2(OH)42- + 4 H+–32 ± 1
2 NpO22+ + 2 H2O ⇌ (NpO2)2(OH)22+ + 2 H+–6.39–6.39–6.2 ± 0.2–6.2 ± 0.2
3 NpO22+ + 5 H2O ⇌ (NpO2)3(OH)5+ + 5 H+–17.49–17.49–17.0 ± 0.2–17.1 ± 0.2
NpO22+ + 2 H2O ⇌ NpO3.H2O(cr) + 2 H+≥-6.6–5.4 ± 0.4–5.4 ± 0.4

Nickel(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionFeitknecht and Schindler, 1963 [68] Baes and Messmer, 1976 [91] NIST46 [4] Gamsjäger et al., 2005 [92] Thoenen et al., 2014 [93] Brown and Ekberg, 2016 [94]
Ni2+ + H2O ⇌ NiOH+ + H+–9.86–9.9–9.54 ± 0.14–9.54 ± 0.14–9.90 ± 0.03
Ni2+ + 2 H2O ⇌ Ni(OH)2 + 2 H+–19–19< –18–21.15 ± 0.0
Ni2+ + 3 H2O ⇌ Ni(OH)3 + 3 H+–30–30–29.2 ± 1.7–29.2 ± 1.7
Ni2+ + 4 H2O ⇌ Ni(OH)42– + 4 H+< –44
2 Ni2+ + H2O ⇌ Ni2(OH)3+ + H+–10.7–10.6 ± 1.0–10.6 ± 1.0–10.6 ± 1.0
4 Ni2+ + 4 H2O ⇌ Ni4(OH)44+ + 4 H+–27.74–27.7–27.52 ± 0.15–27.52 ± 0.15–27.9 ± 0.6
β-Ni(OH)2(s) + 2 H+ ⇌ Ni2+ + 2 H2O10.811.02 ± 0.2010.96 ± 0.20

11.75 ± 0.13 (microcr)

Ni(OH)2(s) ⇌ Ni2+ + 2 OH–17.2 (inactive)–17.2–16.97± 0.20 (β)

–17.2 ± 1.3 (cr)

Ni(OH)2(s) + OH ⇌ Ni(OH)3–4.2 (inactive)
NiO(cr) + 2 H+ ⇌ Ni2+ + H2O12.38 ± 0.0612.48 ± 0.15

Niobium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [69] Filella and May, 2020 [95]
Nb(OH)5 + H+ ⇌ Nb(OH)4+ + H2O~ –0.61.603
Nb(OH)5 + H2O ⇌ Nb(OH)6 + H+~ –4.8–4.951
Nb6O198– + H+ ⇌ HNb6O197–14.95
HNb6O197– + H+ ⇌ H2Nb6O196–13.23
H2Nb6O196– + H+ ⇌ H3Nb6O195–11.73
1/2 Nb2O5(act) + 5/2 H2O ⇌ Nb(OH)5~ –7.4
Nb(OH)5(am,s) ⇌ Nb(OH)5–7.510
Nb2O5(s) + 5 H2O ⇌ 2 Nb(OH)5–18.31

Osmium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution, I = 0.1 M and T = 298.15 K:

ReactionGalbács et al., 1983 [96]
OsO2(OH)42– + H+ ⇌ HOsO2(OH)410.4
HOsO2(OH)4 + H+ ⇌ H2OsO2(OH)48.5

Osmium(VIII)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionGalbács et al., 1983 [96]
OsO2(OH)3(O)aq + H+ ⇌ OsO2(OH)4aq12.2a
OsO2(OH)2(O)2aq + H+ ⇌ OsO2(OH)3(O)aq14.4b

(a) At I = 0.1 M (b) At I = 2.5 M

Palladium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionPerrin et al., 1969 [97] Hummel et al., 2002 [45] Kitamura and Yul, 2010 [98] Brown and Ekberg, 2016 [99]
Pd2+ + H2O ⇌ PdOH+ + H+−0.96−0.65 ± 0.64−1.16 ± 0.30
Pd2+ + 2 H2O ⇌ Pd(OH)2 + 2 H+−2.6−4 ± 1−3.11 ± 0.63−3.07 ± 0.16
Pd2+ + 3 H2O ⇌ Pd(OH)3 + 3 H+−15.5 ± 1−14.20 ± 0.63
Pd(OH)2(am) + 2 H+ ⇌ Pd2+ + 2 H2O−3.3 ± 1−3.4 ± 0.2

Plutonium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [100] NIST46 [4] Brown and Ekberg, 2016 [101] Grenthe et al, 2020 [6]
Pu3+ + H2O ⇌ PuOH2+ + H+–7.0–6.9 ± 0.2–6.9 ± 0.3
Pu3+ + 3 H2O ⇌ Pu(OH)3(cr) + 3 H+–19.65–15.8 ± 0.8–15 ± 1

Plutonium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [102] NIST46 [4] Brown and Ekberg, 2016 [103] Grenthe et al, 2020 [6]
Pu4+ + H2O ⇌ PuOH 3+ + H+–0.5–0.5–0.7 ± 0.10.6 ± 0.2
Pu4+ + 2 H2O ⇌ Pu(OH)22+ + 2 H+(–2.3)0.6 ± 0.3
Pu4+ + 3 H2O ⇌ Pu(OH)3+ + 3 H+(–5.3)–2.3 ± 0.4
Pu4+ + 4 H2O ⇌ Pu(OH)4 + 4 H+–9.5–12.5 ± 0.7–8.5 ± 0.5
Pu4+ + 4 OH ⇌ PuO2(am, hyd) + 2 H2O49.547.9 ± 0.4 (0w)

53.8 ± 0.5 (1w)

58.3 ± 0.5

Plutonium(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [104] NIST46 [4] Brown and Ekberg, 2016 [105] Grenthe et al, 2020 [6]
PuO2+ + H2O ⇌ PuO2(OH) + H+–1.49–1.5–1.31 ± 0.050.5 ± 0.2
PuO2+ + H2O ⇌ PuO2(OH)(am) + H+–3.7 ± 0.30.3 ± 0.3

Plutonium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer,

1976 [106]

NIST46 [4] Brown and Ekberg,

2016 [107]

Grenthe et

al, 2020 [6]

PuO22+ + H2O ⇌ PuO2(OH)+ + H+–5.6–5.6–5.36 ± 0.09–5.5 ± 0.5
PuO22+ + 2 H2O ⇌ PuO2(OH)2 + 2 H+–12.9 ± 0.2–13 ± 1
PuO22+ + 3 H2O ⇌ PuO2(OH)3 + 3 H+–24 ± 1
2 PuO22+ + 2 H2O ⇌ (PuO2)2(OH)22+ + 2 H+–8.36–8.36–7.8 ± 0.5–7 ± 1
3 PuO22+ + 5 H2O ⇌ (PuO2)3(OH)5+ + 5 H+–21.65–21.65
PuO22+ + 2 OH ⇌ PuO2(OH)2(am, hyd)22.8 ± 0.6

Potassium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [69] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [108]
K+ + H2O ⇌ KOH + H+–14.46–14.46–14.5 ± 0.4

Praseodymium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] NIST46 [4] Brown and Ekberg, 2016 [29]
Pr3+ + H2O ⇌ PrOH2+ + H+–8.1–8.30 ± 0.03
2 Pr3+ + 2 H2O ⇌ Pr2(OH)24+ + 2 H+–16.31 ± 0.20
3 Pr3+ + 5 H2O ⇌ Pr3(OH)54+ + 5 H+–35.0 ± 0.3
Pr(OH)3(s) + 3 H+ ⇌ Pr3+ + 3 H2O19.518.57 ± 0.20
Pr(OH)3(s) ⇌ Pr3+ + 3 OH–22.3 ± 1.0

Radium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionNordstrom et al., 1990 [17]
Ra2+ + H2O ⇌ RaOH+ + H+–13.49

Rhodium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionPerrin et al., 1969 [109] Baes and Mesmer, 1976 [110] Brown and Ekberg [111]
Rh3+ + H2O ⇌ RhOH2+ + H+‒3.43‒3.4‒3.09 ± 0.1
Rh(OH)3(c) + OH ⇌ Rh(OH)4‒3.9

Samarium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] NIST46 [4] Brown and Ekberg [29]
Sm3+ + H2O ⇌ SmOH2+ + H+–7.9–7.9–7.84 ± 0.11
2 Sm3+ + 2 H2O ⇌ Sm2(OH)24+ + 2 H+–14.75 ± 0.20
3 Sm3+ + 5 H2O ⇌ Sm3(OH)54+ + 5 H+–33.9 ± 0.3
Sm(OH)3(s) + 3H+ ⇌ Sm3+ + 3H2O16.517.19 ± 0.30
Sm(OH)3(s) ⇌ Sm3+ + 3 OH–23.9 ± 0.9 (am)

–25.9 (cr)

Scandium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [112] Brown and Ekberg, 2016 [113]
Sc3+ + H2O ⇌ ScOH2+ + H+–4.3–4.16 ± 0.05
Sc3+ + 2 H2O ⇌ Sc(OH)2+ + 2 H+–9.7–9.71 ± 0.30
Sc3+ + 3 H2O ⇌ Sc(OH)3 + 3 H+–16.1–16.08 ± 0.30
Sc3+ + 4 H2O ⇌ Sc(OH)4+ 4 H+–26–26.7 ± 0.3
2 Sc3+ + 2 H2O ⇌ Sc2(OH)24+ + 2 H+–6.0–6.02 ± 0.10
3 Sc3+ + 5 H2O ⇌ Sc3(OH)54+ + 5 H+–16.34–16.33 ± 0.10
Sc(OH)3(s) + 3 H+ ⇌ Sc3+ + 3 H2O9.17 ± 0.30
ScO1.5(s) + 3 H+ ⇌ Sc3+ + 1.5 H2O5.53 ± 0.30
ScO(OH)(c) + 3 H+ ⇌ Sc3+ + 2 H2O9.4
Sc(OH)3(c) + OH ⇌ Sc(OH)4–3.5 ± 0.2

Selenium(–II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionOlin et al., 2015 [114] Thoenen et al., 2014 [93]
H2Se(g) ⇌ H2Se(aq)–1.10 ± 0.01–1.10 ± 0.01
H2Se ⇌ HSe + H+–3.85 ± 0.05–3.85 ± 0.05
HSe ⇌ Se2– + H+–14.91 ± 0.20

Selenium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [115] Olin et al., 2005 [114] Thoenen et al., 2014 [93]
SeO32– + H+ ⇌ HSeO38.508.36 ± 0.238.36 ± 0.23
HSeO3 + H+ ⇌ H2SeO32.752.64 ± 0.142.64 ± 0.14

Selenium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [116] Olin et al., 2005 [114] Thoenen et al., 2014 [93]
SeO42‒ + H+ ⇌ HSeO41.3601.75 ± 0.101.75 ± 0.10

Silicon

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [117] Thoenen et al., 2014 [93]
Si(OH)4 ⇌ SiO(OH)3 + H+–9.86–9.81 ± 0.02
Si(OH)4 ⇌ SiO2(OH)22– + 2 H+–22.92–23.14 ± 0.09
4 Si(OH)4 ⇌ Si4O6(OH)64– + 2 H+ + 4 H2O–13.44
4 Si(OH)4 ⇌ Si4O8(OH)44– + 4 H+ + 4 H2O–35.80–36.3 ± 0.2
SiO2(quartz) + 2 H2O ⇌ Si(OH)4–4.0–3.739 ± 0.087
SiO2(am) + 2 H2O ⇌ Si(OH)4–2.714

Silver

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [118] Brown and Ekberg, 2016 [119]
Ag+ + H2O ⇌ AgOH + H+−12.0−11.75 ± 0.14
Ag+ + 2 H2O ⇌ Ag(OH)2 + 2 H+−24.0−24.34 ± 0.14
0.5 Ag2O(am) + H+ ⇌ Ag+ + 0.5 H2O6.296.27 ± 0.05

Sodium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [69] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [120]
Na+ + H2O ⇌ NaOH + H+–14.18–14.18–14.4 ± 0.2

Strontium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [16] Nordstrom et al., 1990 [17] Brown and Ekberg, 2016 [121]
Sr2+ + H2O ⇌ SrOH+ + H+–13.29–13.29–13.15 ± 0.05

Tantalum

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [122] Filella and May, 2019a [123]
Ta(OH)5 + H+ ⇌ Ta(OH)4+ + H2O~10.7007
Ta(OH)5 + H2O ⇌ Ta(OH)6 + H+~ –9.6
Ta6O198– + H+ ⇌ HTa6O197–16.35
HTa6O197– + H+ ⇌ H2Ta6O196–14.00
1/2 Ta2O5(act) + 5/2 H2O ⇌ Ta(OH)5~ –5.2
Ta(OH)5(s) ⇌ Ta(OH)5–5.295
Ta2O5(s) + 5 H2O ⇌ 2 Ta(OH)5–20.00

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Tellurium(-II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionFilella and May, 2019a [124]
Te2‒ + H+ ⇌ HTe11.81
HTe + H+ ⇌ H2Te2.476

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Tellurium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [125] Filella and May, 2019a [124]
TeO32‒ + H+ ⇌ HTeO39.928
HTeO3 + H+ ⇌ H2TeO36.445
H2TeO3 ⇌ HTeO3 + H+‒2.68
H2TeO3 ⇌ TeO32‒ + 2 H+‒12.5
H2TeO3 + H+ ⇌ Te(OH)3+3.132.415
TeO2(s) + H2O ⇌ H2TeO3‒4.709

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Tellurium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [125] Filella and May, 2019a [124]
TeO2(OH)42‒ + H+ ⇌ TeO(OH)510.83
TeO(OH)5 + H+ ⇌ Te(OH)67.687.696
TeO2(OH)42‒ + 2 H+ ⇌ Te(OH)618.68
TeO3(OH)33‒ + 3 H+ ⇌ Te(OH)634.3
2 Te(OH)6 ⇌ Te2O(OH)11 + H+‒6.929

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Terbium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [126]
Tb3+ + H2O ⇌ TbOH2+ + H+−7.9−7.60 ± 0.09
2 Tb3+ + 2 H2O ⇌ Tb2(OH)24+ + 2 H+−13.9 ± 0.2
3 Tb3+ + 5 H2O ⇌ Tb3(OH)54+ + 5 H+−31.7 ± 0.3
Tb(OH)3(s) + 3 H+ ⇌ Tb3+ + 3 H2O16.516.33 ± 0.30

Thallium(I)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [127] Brown and Ekberg, 2016 [128]
Tl+ + H2O ⇌ TlOH + H+–13.21
Tl+ + OH ⇌ TlOH0.64 ± 0.05
Tl+ + 2 OH ⇌ Tl(OH)2–0.7 ± 0.7
1/2 Tl2O(s) + H+ ⇌ Tl+ + 1/2 H2O13.55 ± 0.20

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Thallium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [127] Brown and Ekberg, 2016 [128]
Tl3+ + H2O ⇌ TlOH2+ + H+–0.62–0.22 ± 0.19
Tl3+ + 2 H2O ⇌ Tl(OH)2+ + 2 H+–1.57
Tl3+ + 3 H2O ⇌ Tl(OH)3 + 3 H+–3.3
Tl3+ + 4 H2O ⇌ Tl(OH)4 + 4 H+–15.0
1/2 Tl2O3(s) + 3 H+ ⇌ Tl3+ + 3/2 H2O–3.90–3.90 ± 0.10

(a) The number of significant figures are retained to minimise propagation of round-off errors; they should not be taken to indicate the relative uncertainty of the values, which is always at least one order of magnitude less than indicated.

Thorium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer,

1976 [129]

Rand et

al., 2008 [130]

Thoenen et

al, 014 [131]

Brown and Ekberg,

2016 [132]

Th4+ + H2O ⇌ ThOH3+ + H+–3.20–2.5 ± 0.5–2.5 ± 0.5–2.5 ± 0.5
Th4+ + 2 H2O ⇌ Th(OH)22+ + 2 H+–6.93–6.2 ± 0.5–6.2 ± 0.5–6.2 ± 0.5
Th4+ + 3 H2O ⇌ Th(OH)3+ + 3 H+< –11.7
Th4+ + 4 H2O ⇌ Th(OH)4 + 4 H+–15.9–17.4 ± 0.7–17.4 ± 0.7–17.4 ± 0.7
2Th4+ + 2 H2O ⇌ Th2(OH)26+ + 2 H+–6.14–5.9 ± 0.5–5.9 ± 0.5–5.9 ± 0.5
2Th4+ + 3 H2O ⇌ Th2(OH)35+ + 3 H+–6.8 ± 0.2–6.8 ± 0.2–6.8 ± 0.2
4Th4+ + 8 H2O ⇌ Th4(OH)88+ + 8 H+–21.1–20.4 ± 0.4–20.4 ± 0.4–20.4 ± 0.4
4Th4+ + 12 H2O ⇌ Th4(OH)124+ + 12 H+–26.6 ± 0.2–26.6 ± 0.2–26.6 ± 0.2
6Th4+ + 15 H2O(l) ⇌ Th6(OH)159+ + 15 H+–36.76–36.8 ± 1.5–36.8 ± 1.5–36.8 ± 1.5
6Th4+ + 14 H2O(l) ⇌ Th6(OH)1410+ + 14 H+–36.8 ± 1.2–36.8 ± 1.2–36.8 ± 1.2
ThO2(c) + 4 H+ ⇌ Th4+ + 2 H2O6.3
ThO2(am) + 4 H+ ⇌ Th4+ + 2 H2O8.8 ± 1.0
ThO2(am,hyd,fresh) + 4 H+ ⇌ Th4+ + 2 H2O9.3 ± 0.9
ThO2(am,hyd,aged) + 4 H+ ⇌ Th4+ + 2 H2O8.5 ± 0.9
Th4+ + 4 OH ⇌ ThO2(am,hyd,fresh) + 2 H2O46.7 ± 0.9
Th4+ + 4 OH ⇌ ThO2(am,hyd,aged) + 2 H2O47.5 ± 0.9

Thulium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [133]
Tm3+ + H2O ⇌ TmOH2+ + H+−7.7−7.34 ± 0.09
2 Tm3+ + 2 H2O ⇌ Tm2(OH)24+ + 2 H+−13.2 ± 0.2
3 Tm3+ + 5 H2O ⇌ Tm3(OH)54+ + 5 H+−30.5 ± 0.3
Tm(OH)3(s) + 3 H+ ⇌ Tm3+ + 3 H2O15.015.56 ± 0.40

Tin(II)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionFeitknecht, 1963 [68] Baes and Mesmer, 1976 [134] Hummel et al., 2002 [45] NIST46 [4] Cigala et al, 2012 [135] Gamsjäger et al, 2012 [136] Brown and Ekberg, 2016 [137]
Sn2+ + H2O ⇌ SnOH+ + H+–3.40–3.8 ± 0.2–3.4–3.52 ± 0.05–3.53 ± 0.40–3.53 ± 0.40
Sn2+ + 2 H2O ⇌ Sn(OH)2 + 2 H+–7.06–7.7 ± 0.2–7.1–6.26 ± 0.06–7.68 ± 0.40–7.68 ± 0.40
Sn2+ + 3 H2O ⇌ Sn(OH)3 + 3 H+–16.61–17.5 ± 0.2–16.6–16.97 ± 0.17–17.00 ± 0.60–17.56 ± 0.40
2 Sn2+ + 2 H2O ⇌ Sn2(OH)22+ + 2 H+–4.77–4.8–4.79 ± 0.05
3 Sn2+ + 4 H2O ⇌ Sn3(OH)42+ + 4 H+–6.88–5.6 ± 1.6–6.88–5.88 ± 0.05–5.60 ± 0.47−5.60 ± 0.47
Sn(OH)2(s) ⇌ Sn2+ + 2 OH–25.8–26.28 ± 0.08
SnO(s) + 2 H+ ⇌ Sn2+ + H2O1.762.5± 0.51.60 ± 0.15
SnO(s) + H2O ⇌ Sn2+ + 2 OH–26.2
SnO(s) + H2O ⇌ Sn(OH)2–5.3
SnO(s) + 2 H2O ⇌ Sn(OH)3 + H+–0.9

Tin(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionHummel et al., 2002 [45] Gamsjäger et al, 2012 [136] Brown and Ekberg, 2016 [137]
Sn4+ + 4 H2O ⇌ Sn(OH)4 + 4 H+7.53 ± 0.12
Sn4+ + 5 H2O ⇌ Sn(OH)5 + 5 H+–1.07 ± 0.42
Sn4+ + 6 H2O ⇌ Sn(OH)62– + 6 H+–1.07 ± 0.42
Sn(OH)4 + H2O ⇌ Sn(OH)5 + H+–8.0 ± 0.3–8.60 ± 0.40
Sn(OH)4 + 2 H2O ⇌ Sn(OH)62– + 2 H+–18.4 ± 0.3–18.67 ± 0.30
SnO2(cr) + 2 H2O ⇌ Sn(OH)4–8.0 ± 0.2–8.06 ± 0.11
SnO2(am) + 2 H2O ⇌ Sn(OH)4–7.3 ± 0.3–7.22 ± 0.08
SnO2(s) + 4 H+ ⇌ Sn4+ + 2 H2O–15.59 ± 0.04

Tungsten

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionNIST46 [4]
WO42– + H+ ⇌ HWO43.6
WO42– + 2 H+ ⇌ H2WO45.8
6 WO42– + 7 H+ ⇌ HW6O215– + 3 H2O63.83

Titanium(III)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionPerrin et al., 1969 [138] Baes and Mesmer, 1976 [139] Brown and Ekberg, 2016 [140]
Ti3+ + H2O ⇌ TiOH2+ + H+–1.29–2.2–1.65 ± 0.11
2 Ti3+ + 2 H2O ⇌ Ti2(OH)24+ + 2 H+–3.6–2.64 ± 0.10

Titanium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [139] Brown and Ekberg, 2016 [140]
Ti(OH)22+ + H2O ⇌ Ti(OH)3+ + H+⩽–2.3
Ti(OH)22+ + 2 H2O ⇌ Ti(OH)4 + 2 H+–4.8
TiO2+ + H2O ⇌ TiOOH+ + H+–2.48 ± 0.10
TiO2+ + 2 H2O ⇌ TiO(OH)2 + 2 H+–5.49 ± 0.14
TiO2+ + 3 H2O ⇌ TiO(OH)3 + 3 H+–17.4 ± 0.5
TiO(OH)2 + H2O ⇌ TiO(OH)3 + H+–11.9 ±0.5
TiO2(c) +2 H2O ⇌ Ti(OH)4~ –4.8
TiO2(s) + H+ ⇌ TiOOH+–6.06 ± 0.30
TiO2(s) + H2O ⇌ TiO(OH)2–9.02 ± 0.02
TiO2 x H2O ⇌ Ti(OH)22+[OH]
TiO2(s) + 4 H+ ⇌ Ti4+ + 2 H2O–3.56 ± 0.10

Uranium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer,

1976 [141]

Thoenen et

al., 2014 [142]

Brown and Ekberg,

2016 [143]

Grenthe et al.,

2020 [6]

U4+ + H2O ⇌ UOH3+ + H+–0.65– 0.54 ± 0.06–0.58 ± 0.08– 0.54 ± 0.06
U4+ + 2 H2O ⇌ U(OH)22+ + 2 H+(–2.6)–1.1 ± 1.0–1.4 ± 0.2–1.9 ± 0.2
U4+ + 3 H2O ⇌ U(OH)3+ + 3 H+(–5.8)–4.7 ± 1.0–5.1 ± 0.3–5.2 ± 0.4
U4+ + 4 H2O ⇌ U(OH)4 + 4 H+(–10.3)–10.0 ± 1.4–10.4 ± 0.5–10.0 ± 1.4
U4+ + 5 H2O ⇌ U(OH)5 + 5 H+–16.0
UO2(am, hyd) + 4 H+ ⇌ U4+ + 2 H2O1.5 ± 1.0
UO2(am,hyd) + 2 H2O ⇌ U4+ + 4 OH–54.500 ± 1.000–54.500 ± 1.000
UO2(c) + 4 H+ ⇌ U4+ + 2 H2O–1.8
UO2(c) + 2 H2O ⇌ U4+ + 4 OH–60.860 ± 1.000

Uranium(VI)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer,

1976 [144]

Grenthe et

al., 1992 [145]

NIST46 [4] Brown and Ekberg,

2016 [146]

Grenthe et al.,

2020 [6]

UO22+ + H2O ⇌ UO2(OH)+ + H+–5.8–5.2 ± 0.3–5.9 ± 0.1–5.13 ± 0.04–5.25 ± 0.24
UO22+ + 2 H2O ⇌ UO2(OH)2 + 2 H+≤-10.3–12.15 ± 0.20–12.15 ± 0.07
UO22+ + 3 H2O ⇌ UO2(OH)3 + 3 H+–19.2 ± 0.4–20.25 ± 0.42–20.25 ± 0.42
UO22+ + 4 H2O ⇌ UO2(OH)42– + 4 H+–33 ± 2–32.40 ± 0.68–32.40 ± 0.68
2 UO22+ + 2 H2O ⇌ (UO2)2(OH)22+ + 2 H+–5.62–5.62 ± 0.04–5.58 ± 0.04–5.68 ± 0.05–5.62 ± 0.08
3 UO22+ + 5 H2O ⇌ (UO2)3(OH)5+ + 5 H+–15.63–15.55 ± 0.12–15.6–15.75 ± 0.12–15.55 ± 0.12
3 UO22+ + 4 H2O ⇌ (UO2)3(OH)42+ + 4 H+(–11.75)–11.9 ± 0.3–11.78 ± 0.05–11.9 ± 0.3
3 UO22+ + 7 H2O ⇌ (UO2)3(OH)7 + 7 H+–31 ± 2.0–32.2 ± 0.8–32.2 ± 0.8
4 UO22+ + 7 H2O ⇌ (UO2)4(OH)7+ + 7 H+–21.9 ± 1.0–22.1 ± 0.2–21.9 ± 1.0
2 UO22+ + H2O ⇌ (UO2)2(OH)3+ + H+–2.7 ± 1.0–2.7 ± 1.0
UO2(OH)2(s) + 2H+ ⇌ UO22+ + 2 H2O5.66.04.81 ± 0.20
UO3·2H2O(cr) + 2H+ ⇌ UO22+ + 3 H2O5.350 ± 0.130

Vanadium(IV)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBrown and Ekberg, 2016 [76]
VO2+ + H2O ⇌ VO(OH)+ + H+–5.30 ± 0.13
2 VO2+ + 2 H2O ⇌ (VO)2(OH)22+ + 2 H+–6.71 ± 0.10

Vanadium(V)

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [147] Brown and Ekberg, 2016 [148]
VO2+ + 2 H2O ⇌ VO(OH)3 + H+–3.3
VO2+ + 2 H2O ⇌ VO2(OH)2 + 2 H+–7.3–7.18 ± 0.12
10 VO2+ + 8 H2O ⇌ V10O26(OH)24– + 14 H+–10.7
VO2(OH)2 ⇌ VO3(OH)2– + H+–8.55
2 VO2(OH)2 ⇌ V2O6(OH)23– + H+ + H2O–6.53
VO3(OH)2– ⇌ VO43– + H+–14.26
2 VO3(OH)2– ⇌ V2O74– + H2O0.56
3 VO3(OH)2– + 3 H+⇌ V3O93– + 3 H2O31.81
V10O26(OH)24– ⇌ V10O27(OH)5– + 3 H+–3.6
V10O27(OH)5– ⇌ V10O286– + H+–6.15
VO2+ + H2O ⇌ VO2OH + H+–3.25 ± 0.1
VO2+ + 3 H2O ⇌ VO2(OH)32- + 3 H+–15.74 ± 0.19
VO2+ + 4 H2O ⇌ VO2(OH)43- + 4 H+–30.03 ± 0.24
2 VO2+ + 4 H2O ⇌ (VO2)2(OH)42- + 4 H+–11.66 ± 0.53
2 VO2+ + 5 H2O ⇌ (VO2)2(OH)53- + 5 H+–20.91 ± 0.22
2 VO2+ + 6 H2O ⇌ (VO2)2(OH)64- + 6 H+–32.43 ± 0.30
4 VO2+ + 8 H2O ⇌ (VO2)4(OH)84- + 8 H+–20.78 ± 0.33
4 VO2+ + 9 H2O ⇌ (VO2)4(OH)95- + 9 H+–31.85 ± 0.26
4 VO2+ + 10 H2O ⇌ (VO2)4(OH)106- + 10 H+–45.85 ± 0.26
5 VO2+ + 10 H2O ⇌ (VO2)5(OH)105- + 10 H+–27.02 ± 0.34
10 VO2+ + 14 H2O ⇌ (VO2)10(OH)144- + 14 H+–10.5 ± 0.3
10 VO2+ + 15 H2O ⇌ (VO2)10(OH)155- + 15 H+–15.73 ± 0.33
10 VO2+ + 16 H2O ⇌ (VO2)10(OH)166- + 16 H+–23.90 ± 0.35
1/2 V2O5(c) + H+ ⇌ VO2+ + 1/2 H2O–0.66
V2O5(s) + 2 H+ ⇌ 2 VO2+ + H2O–0.64 ± 0.09

Ytterbium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [149]
Yb3+ + H2O ⇌ YbOH2+ + H+−7.7−7.31 ± 0.18
Yb3+ + 2 H2O ⇌ Yb(OH)2+ + 2 H+(−15.8)
Yb3+ + 3 H2O ⇌ Yb(OH)3 + 3 H+(−24.1)
Yb3+ + 4 H2O ⇌ Yb(OH)4 + 4 H+−32.7
2 Yb3+ + 2 H2O ⇌ Yb2(OH)24+ + 2 H+−13.76 ± 0.20
3 Yb3+ + 5 H2O ⇌ Yb3(OH)54+ + 5 H+−30.6 ± 0.3
Yb(OH)3(s) + 3 H+ ⇌ Yb3+ + 3 H2O14.715.35 ± 0.20

Yttrium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [28] Brown and Ekberg, 2016 [29]
Y3+ + H2O ⇌ YOH2+ + H+–7.7–7.77 ± 0.06
Y3+ + 2 H2O ⇌ Y(OH)2+ + 2 H+(–16.4) [Estimation]
Y3+ + 3 H2O ⇌ Y(OH)3 + 3 H+(–26.0) [Estimation]
Y3+ + 4 H2O ⇌ Y(OH)4+ 4 H+–36.5
2 Y3+ + 2 H2O ⇌ Y2(OH)24+ + 2 H+–14.23–14.1 ± 0.2
3 Y3+ + 5 H2O ⇌ Y3(OH)54+ + 5 H+–31.6–32.7 ± 0.3
Y(OH)3(s) + 3 H+ ⇌ Y3+ + 3 H2O17.517.32 ± 0.30

Zinc

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [150] Powell and Brown, 2013 [151] Brown and Ekberg, 2016 [152]
Zn2+ + H2O ⇌ ZnOH+ + H+−8.96−8.96 ± 0.05−8.94 ± 0.06
Zn2+ + 2 H2O ⇌ Zn(OH)2 + 2 H+−16.9–17.82 ± 0.08−17.89 ± 0.15
Zn2+ + 3 H2O ⇌ Zn(OH)3 + 3 H+−28.4–28.05 ± 0.05−27.98 ± 0.10
Zn2+ + 4 H2O ⇌ Zn(OH)42- + 4 H+−41.2–40.41 ± 0.12−40.35 ± 0.22
2 Zn2+ + H2O ⇌ Zn2OH3+ + H+−9.0–7.9 ± 0.2−7.89 ± 0.31
2 Zn2+ + 6 H2O ⇌ Zn2(OH)62- + 6 H+−57.8
ZnO(s) + 2 H+ ⇌ Zn2+ + H2O11.1411.12 ± 0.0511.11 ± 0.10
ε-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O11.38 ± 0.2011.38± 0.20
β1-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O11.72 ± 0.04
β2-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O11.76 ± 0.04
γ-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O11.70 ± 0.04
δ-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O11.81 ± 0.04

Zirconium

Hydrolysis constants (log values) in critical compilations at infinite dilution and T = 298.15 K:

ReactionBaes and Mesmer, 1976 [54] Thoenen et al., 2014 [93] Brown and Ekberg, 2016 [153]
Zr4+ + H2O ⇌ ZrOH3+ + H+0.320.32 ± 0.220.12 ± 0.12
Zr4+ + 2 H2O ⇌ Zr(OH)22+ + 2 H+(−1.7)*0.98 ± 1.06*−0.18 ± 0.17*
Zr4+ + 3 H2O ⇌ Zr(OH)3+ + 3 H+(−5.1)
Zr4+ + 4 H2O ⇌ Zr(OH)4 + 4 H+–9.7*–2.19 ± 0.70*−4.53 ± 0.37*
Zr4+ + 5 H2O ⇌ Zr(OH)5 + 5 H+–16.0
Zr4+ + 6 H2O ⇌ Zr(OH)62– + 6 H+–29± 0.70–30.5 ± 0.3
3 Zr4+ + 4 H2O ⇌ Zr3(OH)48+ + 4 H+–0.60.4 ± 0.30.90 ± 0.18
3 Zr4+ + 5 H2O ⇌ Zr3(OH)57+ + 5 H+3.70
3 Zr4+ + 9 H2O ⇌ Zr3(OH)93+ + 9 H+12.19 ± 0.2012.19 ± 0.20
4 Zr4+ + 8 H2O ⇌ Zr4(OH)88+ + 8 H+6.06.52 ± 0.056.52 ± 0.05
4 Zr4+ + 15 H2O ⇌ Zr4(OH)15+ + 15 H+12.58± 0.24
4 Zr4+ + 16 H2O ⇌ Zr4(OH)16 + 16 H+8.39± 0.80
ZrO2(s) + 4 H+ ⇌ Zr4+ + 2 H2O–1.9*–5.37 ± 0.42*
ZrO2(s, baddeleyite) + 4 H+ ⇌ Zr4+ + 2 H2O–7 ± 1.6
ZrO2(am) + 4 H+ ⇌ Zr4+ + 2 H2O–3.24± 0.10–2.97 ± 0.18

*Errors in compilations concerning equilibrium and/or data elaboration. Data not recommended. It is strongly suggested to refer to the original papers.

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