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Wikipedia / Hydrolysis constant

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.

Metal hydrolysis and associated equilibrium constant values

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

  1. p Mz+ + q H2O ⇌ Mp(OH)q(pz–q) + q H+

and the corresponding formation constant as:

and associated equilibria can be written as:

  1. 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

Hummel and Thoenen, 2023

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 H2O

8.5

7.75 ± 0.08

7.75 ± 0.08

γ-AlOOH(s) + 3 H+ ⇌ Al3+ + 2 H2O

7.69 ± 0.15

9.4 ± 0.4

Americium(III)

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

Reaction

NIST46

Brown and Ekberg, 2016

Grenthe et al., 2020

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:

Reaction

Brown and Ekberg, 2016

Grenthe et al., 2020

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:

Reaction

Baes and Mesmer, 1976

Lothenbach et al., 1999;

Kitamura et al., 2010

Filella and May, 2003

Sb(OH)3 + H+ ⇌ Sb(OH)2+ + H2O

1.41

1.30

1.371

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:

Reaction

Baes and Mesmer, 1976

Lothenbach et al., 1999; Kitamura et al., 2010

Sb(OH)5 + H2O ⇌ Sb(OH)6‒ + H+

‒2.72

‒2.72

12 Sb(OH)5 + 4 H2O ⇌ Sb12(OH)644‒ + 4 H+

20.34

20.34

12 Sb(OH)5 + 5 H2O ⇌ Sb12(OH)655‒ + 5 H+

16.72

16.72

12 Sb(OH)5 + 6 H2O ⇌ Sb12(OH)666‒ + 6 H+

11.89

11.89

12 Sb(OH)5 + 7 H2O ⇌ Sb12(OH)677‒ + 7 H+

6.07

6.07

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:

Reaction

Baes and Mesmer, 1976

Nordstrom and Archer, 2003

Nordstrom et al., 2014

As(OH)4‒ + H+ ⇌ As(OH)3 + H2O

9.29

9.17

9.24 ± 0.02

Arsenic(V)

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

Reaction

Baes and Mesmer

Khodakovsky et al. (1968)

Nordstrom and Archer, 2003

Nordstrom et al., 2014

H2AsO4‒ + H+ ⇌ H3AsO4

2.24

2.21

2.26 ± 0.078

2.25 ± 0.04

HAsO42‒ + H+ ⇌ H2AsO4‒

6.93

6.99 ± 0.1

6.98 ± 0.11

AsO43‒ + H+ ⇌ HAsO42‒

11.51

11.80 ± 0.1

11.58 ± 0.05

HAsO42‒ + 2 H+ ⇌H3AsO4

9.20

AsO43‒ + 3 H+ ⇌ H3AsO4

20.70

Barium

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

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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:

Reaction

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

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 H2O

6.69

Bismuth

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

Reaction

Baes and Mesmer, 1976

Lothenbach et

al., 1999

NIST46

Kitamura et

al., 2010

Brown and

Ekberg, 2016

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+

1.34

1.340

0.98 ± 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 H2O

31.501 ± 0.927

α-Bi2O3(cr) + 6 H+ = 2 Bi3+ + 3 H2O

0.76

BiO1.5(s, α) + 3 H+ = Bi3+ + 1.5 H2O

3.46

31.501 ± 0.927

2.88 ± 0.64

Boron

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

Reaction

Baes and Mesmer, 1976

NIST46

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:

Reaction

Baes and Mesmer, 1976

Powell et al., 2011

Brown and Ekberg, 2016

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+ + 4 H+

–32.85

Cd(OH)2(s) ⇌ Cd2+ + 2 OH–

–14.28 ± 0.12

Cd(OH)2(s) + 2 H+ ⇌ Cd2+ + 2 H2O

13.65

13.72 ± 0.12

13.71 ± 0.12

Calcium

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

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

Ca2+ + H2O ⇌ CaOH+ + H+

–12.85

–12.78

–12.57 ± 0.03

Ca(OH)2(cr) + 2 H+ ⇌ Ca2+ + 2 H2O

22.80

22.8

22.75 ± 0.02

Californium(III)

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

Reaction

Brown and Ekberg, 2016

Cf3+ + 3 H2O ⇌ Cf(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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

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 H2O

18.5 ± 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.):

Reaction

NIST46

Ball and Nordstrom, 1988

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:

Reaction

Baes and Mesmer, 1976

Rai et al., 1987

Ball and Nordstrom, 1988

Brown and Ekberg, 2016

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 H2O

12

9.35

9.41 ± 0.17

Cr2O3(s) + 6 H+ ⇌ 2 Cr3+ + 3 H2O

8.52

CrO1.5(s) + 3 H+ ⇌ Cr3+ + 1.5 H2O

7.83 ± 0.10

Chromium(VI)

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

Reaction

Baes and Mesmer, 1976

Ball and Nordstrom, 1998

CrO42– + H+ ⇌ HCrO4–

6.51

6.55 ± 0.04

HCrO4– + H+ ⇌ H2CrO4

–0.20

CrO42– + 2 H+ ⇌ H2CrO4

6.31

2 HCrO4– ⇌ Cr2O72– + H2O

1.523

2 CrO42– + 2 H+ ⇌ Cr2O72– + H2O

14.7 ± 0.1

Cobalt(II)

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

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

12.3

13.24 ± 0.12

CoO(s) + 2 H+ ⇌ Co2+ + H2O

13.71 ± 0.10

Cobalt(III)

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

Reaction

Brown and Ekberg, 2016

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:

Reaction

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

NIST46

Plyasunova et al., 1997

Powell et al., 2007

Brown and Ekberg, 2016

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+ + H2O

7.62

7.64 ± 0.06

7.64 ± 0.06

7.63 ± 0.05

Cu(OH)2(s) + 2 H+ ⇌ Cu2+ + 2 H2O

8.67 ± 0.05

8.68 ± 0.10

Curium

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

Reaction

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

15.9

16.26 ± 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

15.0

15.79 ± 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:

Reaction

Baes and Mesmer, 1976

NIST46

Hummel et al., 2002

Brown and Ekberg, 2016

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 H2O

17.5

17.6 ± 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

15.6

17.20 ± 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:

Reaction

Baes and Mesmer, 1976

Smith et al., 2003

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Wood and Samson, 2006

Filella and May, 2023

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)3–

12.76

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:

Reaction

Baes and Mesmer, 1976

Au(OH)3 +2 H+ ⇌ AuOH2+ + 2 H2O

1.51

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

15.4

15.60 ± 0.30

Indium

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

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

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:

Reaction

Brown and Ekberg, 2016

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 H2O

8.88 ± 0.20

Iron(II)

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

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Hummel et al., 2002

Lemire et al., 2013

Brown and Ekberg, 2016

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 H2O

12.27 ± 0.88

Iron(III)

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

Reaction

Baes and Mesmer, 1976

Lemire et al., 2013

Brown and Ekberg, 2016

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

2.5

3.5

3.50 ± 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

0.5

0.33 ± 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

20.3

19.72 ± 0.34

Lead(II)

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

Reaction

Baes and Mesmer, 1976

NIST46

Powell et al., 2009

Brown and Ekberg, 2016

Cataldo et al., 2018

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+ + H2O

12.62 (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:

Reaction

Feitknecht and Schindler, 1963

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:

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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 H2O

16.84

16.84

17.11 ± 0.04

Manganese(II)

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

Reaction

Perrin et al., 1969

Baes and Mesmer, 1976

Nordstrom et al., 1990

Hummel et al., 2002

Brown and Ekberg, 2016

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 H2O

15.2

15.2

15.2

15.19 ± 0.10

MnO(s) + 2 H+ ⇌ Mn2+ + H2O

17.94 ± 0.12

Manganese(III)

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

Reaction

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Powell et all, 2005

Brown and Ekberg, 2016

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+ + H2O

2.56

2.37 ± 0.08

2.37 ± 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):

Reaction

Baes and Mesmer, 1976

Jolivet, 2000

NIST46

Crea et al., 2017

MoO42– + H+ ⇌ HMoO4–

3.89a

4.24

4.47 ± 0.02

MoO42– + 2 H+ ⇌ H2MoO4

7.50a

8.12 ± 0.03

HMoO4– + H+ ⇌ H2MoO4

4.0

Mo7O246– + H+ ⇌ HMo7O245–

4.4

HMo7O245– + H+ ⇌ H2Mo7O244–

3.5

H2Mo7O244– + H+ ⇌ H3Mo7O243–

2.5

7 MoO42-+ 8 H+ ⇌ Mo7O246– + 4 H2O

57.74a

52.99b

51.93 ± 0.04

7 MoO42– + 9 H+ ⇌ Mo7O23(OH)5– + 4 H2O

62.14a

58.90 ± 0.02

7 MoO42– + 10 H+ ⇌ Mo7O22(OH)24– + 4 H2O

65.68a

64.63 ± 0.05

7 MoO42– + 11 H+ ⇌ Mo7O21(OH)33– + 4 H2O

68.21a

68.68 ± 0.06

19 MoO42- + 34 H+ ⇌ Mo19O594– + 17 H2O

196.3a

196a

MoO3(s) + H2O ⇌ MoO42– + 2 H+

–12.06a

Neodymium

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

Reaction

Baes and Mesmer, 1976

NIST46

Neck et al., 2009

Brown and Ekberg, 2016

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 H2O

18.6

17.2 ± 0.4

17.89 ± 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:

Reaction

Brown and Ekberg, 2016

Grenthe et al., 2020

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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

Grenthe et al., 2020

Np4+ + H2O ⇌ NpOH3+ + H+

–1.49

–1.5

–1.31 ± 0.05

0.5 ± 0.2

Np4+ + 2 H2O ⇌ Np(OH)22+ + 2 H+

–3.7 ± 0.3

0.3 ± 0.3

Np4+ + 4 H2O ⇌ Np(OH)4 + 4 H+

–10.0 ± 0.9

–8 ± 1

Np4+ + 4 OH− ⇌ NpO2(am, hyd) + 2 H2O

52

54.9 ± 0.4

57.5 ± 0.3

56.7 ± 0.5

Neptunium(V)

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

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

Grenthe et al., 2020

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:

Reaction

Baes and Mesmer,

1976

NIST46

Brown and Ekberg,

2016

Grenthe et al., 2020

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:

Reaction

Feitknecht and Schindler, 1963

Baes and Messmer, 1976

NIST46

Gamsjäger et al., 2005

Thoenen et al., 2014

Brown and Ekberg, 2016

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 H2O

10.8

11.02 ± 0.20

10.96 ± 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+ + H2O

12.38 ± 0.06

12.48 ± 0.15

Niobium

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

Reaction

Baes and Mesmer, 1976

Filella and May, 2020

Nb(OH)5 + H+ ⇌ Nb(OH)4+ + H2O

~ –0.6

1.603

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:

Reaction

Galbács et al., 1983

OsO2(OH)42– + H+ ⇌ HOsO2(OH)4–

10.4

HOsO2(OH)4– + H+ ⇌ H2OsO2(OH)4

8.5

Osmium(VIII)

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

Reaction

Galbács et al., 1983

OsO2(OH)3(O−)aq + H+ ⇌ OsO2(OH)4aq

12.2a

OsO2(OH)2(O−)2aq + H+ ⇌ OsO2(OH)3(O−)aq

14.4b

(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:

Reaction

Perrin et al., 1969

Hummel et al., 2002

Kitamura and Yul, 2010

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

Grenthe et al., 2020

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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

Grenthe et al., 2020

Pu4+ + H2O ⇌ PuOH 3+ + H+

–0.5

–0.5

–0.7 ± 0.1

0.6 ± 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 H2O

49.5

47.9 ± 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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

Grenthe et al., 2020

PuO2+ + H2O ⇌ PuO2(OH) + H+

–1.49

–1.5

–1.31 ± 0.05

0.5 ± 0.2

PuO2+ + H2O ⇌ PuO2(OH)(am) + H+

–3.7 ± 0.3

0.3 ± 0.3

Plutonium(VI)

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

Reaction

Baes and Mesmer,

1976

NIST46

Brown and Ekberg,

2016

Grenthe et al., 2020

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:

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg, 2016

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 H2O

19.5

18.57 ± 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:

Reaction

Nordstrom et al., 1990

Ra2+ + H2O ⇌ RaOH+ + H+

–13.49

Rhodium

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

Reaction

Perrin et al., 1969

Baes and Mesmer, 1976

Brown and Ekberg

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:

Reaction

Baes and Mesmer, 1976

NIST46

Brown and Ekberg

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+ + 3H2O

16.5

17.19 ± 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

9.17 ± 0.30

ScO1.5(s) + 3 H+ ⇌ Sc3+ + 1.5 H2O

5.53 ± 0.30

ScO(OH)(c) + 3 H+ ⇌ Sc3+ + 2 H2O

9.4

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:

Reaction

Olin et al., 2015

Thoenen et al., 2014

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:

Reaction

Baes and Mesmer, 1976

Olin et al., 2005

Thoenen et al., 2014

SeO32– + H+ ⇌ HSeO3–

8.50

8.36 ± 0.23

8.36 ± 0.23

HSeO3– + H+ ⇌ H2SeO3

2.75

2.64 ± 0.14

2.64 ± 0.14

Selenium(VI)

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

Reaction

Baes and Mesmer, 1976

Olin et al., 2005

Thoenen et al., 2014

SeO42‒ + H+ ⇌ HSeO4‒

1.360

1.75 ± 0.10

1.75 ± 0.10

Silicon

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

Reaction

Baes and Mesmer, 1976

Thoenen et al., 2014

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

6.29

6.27 ± 0.05

Sodium

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

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Nordstrom et al., 1990

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Filella and May, 2019a

Ta(OH)5 + H+ ⇌ Ta(OH)4+ + H2O

~1

0.7007

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:

Reaction

Filella and May, 2019a

Te2‒ + H+ ⇌ HTe‒

11.81

HTe‒ + H+ ⇌ H2Te

2.476

(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:

Reaction

Baes and Mesmer, 1976

Filella and May, 2019a

TeO32‒ + H+ ⇌ HTeO3‒

9.928

HTeO3‒ + H+ ⇌ H2TeO3

6.445

H2TeO3 ⇌ HTeO3‒ + H+

‒2.68

H2TeO3 ⇌ TeO32‒ + 2 H+

‒12.5

H2TeO3 + H+ ⇌ Te(OH)3+

3.13

2.415

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:

Reaction

Baes and Mesmer, 1976

Filella and May, 2019a

TeO2(OH)42‒ + H+ ⇌ TeO(OH)5‒

10.83

TeO(OH)5‒ + H+ ⇌ Te(OH)6

7.68

7.696

TeO2(OH)42‒ + 2 H+ ⇌ Te(OH)6

18.68

TeO3(OH)33‒ + 3 H+ ⇌ Te(OH)6

34.3

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

16.5

16.33 ± 0.30

Thallium(I)

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

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

Tl+ + H2O ⇌ TlOH + H+

–13.21

Tl+ + OH– ⇌ TlOH

0.64 ± 0.05

Tl+ + 2 OH– ⇌ Tl(OH)2–

–0.7 ± 0.7

Tl2O(s) + H+ ⇌ Tl+ + H2O

13.55 ± 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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

Tl2O3(s) + 3 H+ ⇌ Tl3+ + 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:

Reaction

Baes and Mesmer,

1976

Rand et

al., 2008

Thoenen et al., 014

Brown and Ekberg,

2016

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 H2O

6.3

ThO2(am) + 4 H+ ⇌ Th4+ + 2 H2O

8.8 ± 1.0

ThO2(am,hyd,fresh) + 4 H+ ⇌ Th4+ + 2 H2O

9.3 ± 0.9

ThO2(am,hyd,aged) + 4 H+ ⇌ Th4+ + 2 H2O

8.5 ± 0.9

Th4+ + 4 OH− ⇌ ThO2(am,hyd,fresh) + 2 H2O

46.7 ± 0.9

Th4+ + 4 OH− ⇌ ThO2(am,hyd,aged) + 2 H2O

47.5 ± 0.9

Thulium

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

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

15.0

15.56 ± 0.40

Tin(II)

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

Reaction

Feitknecht, 1963

Baes and Mesmer, 1976

Hummel et al., 2002

NIST46

Cigala et al., 2012

Gamsjäger et al., 2012

Brown and Ekberg, 2016

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+ + H2O

1.76

2.5± 0.5

1.60 ± 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:

Reaction

Hummel et al., 2002

Gamsjäger et al., 2012

Brown and Ekberg, 2016

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:

Reaction

NIST46

WO42– + H+ ⇌ HWO4–

3.6

WO42– + 2 H+ ⇌ H2WO4

5.8

6 WO42– + 7 H+ ⇌ HW6O215– + 3 H2O

63.83

Titanium(III)

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

Reaction

Perrin et al., 1969

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer,

1976

Thoenen et

al., 2014

Brown and Ekberg,

2016

Grenthe et al.,

2020

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 H2O

1.5 ± 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:

Reaction

Baes and Mesmer,

1976

Grenthe et

al., 1992

NIST46

Brown and Ekberg,

2016

Grenthe et al.,

2020

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 H2O

5.6

6.0

4.81 ± 0.20

UO3·2H2O(cr) + 2H+ ⇌ UO22+ + 3 H2O

5.350 ± 0.130

Vanadium(IV)

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

Reaction

Brown and Ekberg, 2016

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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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– + H2O

0.56

3 VO3(OH)2– + 3 H+⇌ V3O93– + 3 H2O

31.81

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

V2O5(c) + H+ ⇌ VO2+ + 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:

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

14.7

15.35 ± 0.20

Yttrium

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

Reaction

Baes and Mesmer, 1976

Brown and Ekberg, 2016

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 H2O

17.5

17.32 ± 0.30

Zinc

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

Reaction

Baes and Mesmer, 1976

Powell and Brown, 2013

Brown and Ekberg, 2016

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+ + H2O

11.14

11.12 ± 0.05

11.11 ± 0.10

ε-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O

11.38 ± 0.20

11.38± 0.20

β1-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O

11.72 ± 0.04

β2-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O

11.76 ± 0.04

γ-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O

11.70 ± 0.04

δ-Zn(OH)2(s) + 2 H+ ⇌ Zn2+ + 2 H2O

11.81 ± 0.04

Zirconium

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

Reaction

Baes and Mesmer, 1976

Thoenen et al., 2014

Brown and Ekberg, 2016

Zr4+ + H2O ⇌ ZrOH3+ + H+

0.32

0.32 ± 0.22

0.12 ± 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+

–0.6

0.4 ± 0.3

0.90 ± 0.18

3 Zr4+ + 5 H2O ⇌ Zr3(OH)57+ + 5 H+

3.70

3 Zr4+ + 9 H2O ⇌ Zr3(OH)93+ + 9 H+

12.19 ± 0.20

12.19 ± 0.20

4 Zr4+ + 8 H2O ⇌ Zr4(OH)88+ + 8 H+

6.0

6.52 ± 0.05

6.52 ± 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.

References