?¥GÑç ©PëD Pourbaix ö h)8¦ö3 > ¶1)_35_2014.pdf · ?¥GÑç ©PëDPourbaix ö h)8 ö3 >...
Transcript of ?¥GÑç ©PëD Pourbaix ö h)8¦ö3 > ¶1)_35_2014.pdf · ?¥GÑç ©PëDPourbaix ö h)8 ö3 >...
Pourbaix
Pourbaix Diagrams for Systems Involving Metal Complexes and Intermetallic
Compounds: Their Construction and Application
Kuniaki Murase
Received February 21, 2014
Fundamental aspects of potential-pH diagrams for systems containing ligand and/or additional
metal components to form stable complexes and/or intermetallic compounds are described by sev-
eral practical examples. The diagrams provide deeper thermodynamic insights into a variety of
aqueous electrochemical processes, such as electrodeposition and electrometallurgy.
18 A. Volta
pH hydrogen
ion exponent
H2O
pH
Zn2+
Zn(OH)2
ZnO22–
606-8501
Corresponding author : Department of Mate-
rials Science and Engineering, Kyoto Uni-
versity, Yoshida-hommachi, Sakyo-ku, Kyoto
606-8501, Japan.
E-mail: [email protected].
35
Review of Polarography, Vol.60, No.1, (2014)
NH3 NH4+
–
NH4+ = NH3 + H
+ (1)
pKa
pH = 9.3
NH4+
NH3
Zn2+
Zn2+
+ 2e = Zn (2)
H+
ZnO22–
ZnO22–
+ 4H+ + 2e = Zn + 2H2O (3)
H+
Nernst
(2) pH
(3)
pH
Zn(NH3)42+
pH (1) pKa
pH > 10.3
Zn(NH3)42+
+ 2e = Zn + 4NH3 (4)
H+
pH pKa pH < 8.3
Zn(NH3)42+
+ 4H+ + 2e
= Zn + 4NH4+ (5)
NH4+
H+
(4) pH
(5)
pH
E
pH
–
pH
Potential-pH diagram
pH University of Brus-
sels Marcel Pourbaix Pourbaix
Pourbaix diagram
Pourbaix pH
Charlot1)
pH
Pourbaix Atlas of Electro-
chemical Equilibria in Aqueous Solutions 2)
pH
pH Zn-H2O
Cu-H2O
pH
FactSage
www.factsage.com HSC Chemistry
www.hsc-chemistry.net
pH
pH
36
Review of Polarography, Vol.60, No.1, (2014)
pH3,4)
4) J-Stage
pH
Pourbaix Zn-H2O
Cu-H2O pH
pH
pH
5)
Zn-H2O pH 25 °C
Zn-H2O pH 25 °C
(2)
pH
pH
(3)
pH
Zn2+
ZnO22–
Zn(OH)2
Zn2+
+ 2H2O = Zn(OH)2 + 2H+ (6)
Zn(OH)2 = ZnO22–
+ 2H+ (7)
–
1 10–2
10–4
10–6
Zn2+
ZnO22–
1 mol dm–3
Zn2+
1
0.01 mol dm–3
Zn2+
10–2
10–6
Zn(OH)2 + 2H+ + 2e = Zn + 2H2O (8)
pH
2H+ + 2e = H2
2H2O + 2e = H2 + 2OH–
(9)
O2 + 4H+ + 4e = 2H2O
O2 + 2H2O + 4e = 4OH–
(10)
37
Review of Polarography, Vol.60, No.1, (2014)
pH2 = pO2 = 1 atm
H2O H2 O2 H2O
Zn
Zn Zn2+
Cu2+
Cu
Zn2+
+ 2e = Zn
E° = –0.763 V vs. SHE (2)
Cu2+
+ 2e = Cu
E° = +0.337 V vs. SHE (11)
Zn + Cu2+
Zn2+
+ Cu (12)
(12)
ΔG
Zn-H2O aZn2+ = 10–6
Cu-H2O
aCu2+ = 1 pH
Zn Cu2+
Fe-H2O
pH
Fe2+
Fe2O3
FeOOH
Fe2O3 + 6H+ + 2e = 2Fe
2+ + 3H2O (13)
O2 + 4H+ + 4e = 2H2O (10)
4Fe2+
+ O2 + 4H2O
2Fe2O3 + 8H+ (14)
pH
Zn-H2O Cu-H2O
pH 25 °C
aZn2+ = 10–6
aCu2+ = 1
Fe-H2O pH 25 °C
38
Review of Polarography, Vol.60, No.1, (2014)
pH
Cl–
NH3 CN–
pH
Au+ Au
3+
Au(CN)2–
Au+ Au
3+
pH
pH
Cu-
-H2O pH
Cu2O6)
Cu(II)
Cu- -H2O pH
25 °C aCu(II) = 1 3 mol dm–3
aCl– = 5
7) Cu-Cl-H2O
CuCl43–
pH pCl
aCl–
–log aCl– pCl
pH = 0
pCl
39
Review of Polarography, Vol.60, No.1, (2014)
pCl = –0.2 0.4
CuCl
Cu-Cl-H2O (a) pH
25 °C aCu(II) = 10–6
aCl– = 5 (b)
pCl pH = 0
pH
Cd-H2O
Cd-H2O
pH
Cd2+
Cd Cd(OH)2
Cd-NH3-H2O
pH
Cd(NH3)42+
[NH3]total
[NH3] +
[NH4+]
Cd(NH3)42+
(a) Cd-H2O (b-d)
Cd-NH3-H2O pH 25 °C
aCd(II) = 10–2
[NH3]total =
[NH3] + [NH4+] (b) 5.0 mol dm
–3(c) 1.0
mol dm–3
(d) 0.5 mol dm–3
40
Review of Polarography, Vol.60, No.1, (2014)
Cd(NH3)x2+
x = 1 6
Cd-NH3-H2O
pH
NH3
NH3
aNH3pNH3 = –log aNH3
pNH3 pH8)
pH
pH pNH3
NH3
NH4+
Cd-NH3-H2O pNH3 pH
25 °C aCd(II) = 10–2
ABCD [NH3]total =
[NH3] + [NH4+] = 5.0 mol dm
–3
–
NH4+ = NH3 + H
+ (1)
NH4+
aNH4+ (1)
Ka = aH+ aNH3aNH4
+
pH pNH3
pH + pNH3 = pKa – log aNH4+ (15)
[NH3]total
[NH3]total = [NH3] + [NH4+]
= A (16)
(15) (16)
pH + pNH3
= pKa – log [NH3]total + log (1 + 10pH – pKa)
= pKa – log A + log (1 + 10pH – pKa) (17)
pH pKa pH
pH + pNH3 = pKa – log A
pH << pKa (18-1)
pNH3 = – log A pH >> pKa (18-2)
pKa = 9.3
pH + pNH3 = 9.3 – log A
pH < 8.3 (19-1)
pNH3 = – log A pH > 10.3 (19-2)
pKa = 9.3
(17) pH = 8.3 10.3
pH < 8.3 pH >
10.3 ABCD
A = [NH3]total = 5.0 mol dm–3
(15) (16)
pH pNH3
pNH3 pH
41
Review of Polarography, Vol.60, No.1, (2014)
ABCD
ABCD
pH
Cd(NH3)42+
Cd pH = 9.3
ABCD
Cd(NH3)42+
Cd pH = 9.3 = pKa
pH pKa
pH pH < 8.3 (1)
Cd(NH3)42+
+ 4H+ + 2e
= Cd + 4NH4+ (20)
H+
pH
pH
pH = pKa pH
pH > 10.3 (1)
Cd(NH3)42+
+ 2e = Cd + 4NH3 (21)
pH
pKa
8.3 < pH < 10.3 (20) (21)
Cd(NH3)42+
Cd2+
Cd(OH)2
pH
pKa
(1)
NH3 aNH3
Cd(NH3)42+
Cd2+
Cd(NH3)42+
Cd2+
+ 4NH4+ = Cd(NH3)4
2+ + 4H
+ (22)
pH
OH–
Cd(NH3)42+
Cd(OH)2 Cd(NH3)42+
Cd(OH)2
Cd(NH3)42+
+ 2H2O
= Cd(OH)2 + 2H+ + 4NH3 (23)
Cd(NH3)42+
pKa pH
(20) (23)
pH
A = [NH3]total = 5.0 mol dm–3
1.0 mol dm–3
0.5 mol dm–3
pKa
= 9.3 (19-1)
(19-2) A
ABCD pNH3
Cd(NH3)42+
ABCD
Cd(NH3)42+
pH
A (22)
(23)
(22)
Cd2+
+ 2H2O = Cd(OH)2 + 2H+ (24)
pH
A
(22) pH
(24) pH
42
Review of Polarography, Vol.60, No.1, (2014)
Cd2+
Cd(NH3)42+
Cd(OH)2
(22) (24)
pH pH
pH Cd2+
Cd(NH3)42+
pH pH
Cd2+
Cd(NH3)42+
Cd(OH)2
Cd(NH3)42+
pH Cd(OH)2
(23) pH Cd(OH)2
Cd(NH3)42+
+ 2H2O + 2H+
= Cd(OH)2 + 4NH4+ (25)
NH4+
A
(23) (25) pH
Cd(NH3)42+
Cd-H2O pH
(23)
(25) pH
Cd(NH3)42+
Koyama Cu-NH3-H2O
pH9)
Cu2O Cu(OH)2
pKa = 9.3 pH
Cu(NH3)2+
Cu(NH3)42+
pH
pKa NH4+
pH pKa
NH3
pH
Cu-NH3-H2O pH
25 °C aCu(II) = aCu(I) = 0.5 [NH3]total = [NH3]
+ [NH4+] = 7.0 mol dm
–3 9)
pH
pH
CuFeS2
10)
CdTe
Cd-Te-H2O
Cd-Te-NH3-H2O
pH
GaAs InAs
pH
Montana Tech
Hsin-Hsiung Huang
STABCAL
Cd-Te-NH3-H2O8,11)
pH
43
Review of Polarography, Vol.60, No.1, (2014)
(a) Cd-Te-H2O (b)
Cd-Te-NH3-H2O pH
25 °C aCd = 0.01 aTe = 0.01 pH2Te = 1 atm
[NH3]total = [NH3] + [NH4+] = 5.0 mol dm
–3
Cd-Te-NH3-H2O pH
Te-H2O
Cd-NH3-H2O pH
pH
CdTe
TeO32–
Cd(NH3)42+
CdTe
Cd(NH3)42+
TeO32–
CdTe
H2O
Ga-As-H2O In-As-H2O
pH 25 °C aGa =
1 aIn = 1 aAs = 1 GaAs
InAs
Te-H2O pH 25 °C
aTe = 0.01 pH2Te = 1 atm
44
Review of Polarography, Vol.60, No.1, (2014)
Te-H2O Cd-NH3-H2O
pH
H+
e
pH >
pKa = 9.3 NH3
Cd(NH3)42+
+ TeO32–
+ 6H+ + 6e
= CdTe + 3H2O + 4NH3 (26)
Nernst
pH
ECd(NH3)42+,TeO3
2– CdTe
(26)
CdTe
CdTe
CdTe
CdTe
CdTe
CdTe + 2e = Cd + Te2–
(27)
CdTe
Cd-Te-NH3-H2O
pH Cd-NH3-H2O
-pH
CdTe
Cd
CdTe Cd
Cd Cd
pH = 10.5
Cd(NH3)42+
+ 2e = Cd + 4NH3 (21)
Cd(NH3)42+
+ Te + 2e
= CdTe + 4NH3 (28)
(28) 0.516 V
(28) (21)
Cd + Te = CdTe (29)
ΔE = 0.516 V CdTe
ΔE CdTe
ΔG° = –99.57 kJ mol–1
ΔE =
–ΔG° nF n
2 F
pH
11,12)
11,13)
pH ZnTe
Zn-Te-NH3-H2O
pH14)
45
Review of Polarography, Vol.60, No.1, (2014)
pH
Mn+
+ ne = M (30)
Nernst
(31)
Mn+
Mn+
aMn+ (31)
aMn+
EMn+ M M
M aM
EMn+ M
pH
(30)
pH
pH
1) G. Charlot , , ,
,
, 1958.
2) M. Pourbaix, “Atlas of Electrochemical
Equilibria in Aqueous Solutions”, Per-
gamon Press, Oxford, 1966.
3) , ,
-pH (III), , 29, 385
(1959).
4) , -pH
, ,
27, 365 (1959).
5) ,
, 36
p. 73,
, 2009.
6) T. D. Golden, M. G. Shumsky, Y. Zhou, R.
A. VanderWerf, R. A. Van Leeuwen, and
J. A. Switzer, Electrochemical deposition
of copper(I) oxide films, Chem. Mater., 8,
2499 (1996); K. Mizuno, M. Izaki, K.
Murase, T. Shinagawa, M. Chigane, M.
Inaba, A. Tasaka, and Y. Awakura, Struc-
tural and electrical characterizations of
electrodeposited p-type semiconductor
Cu2O films, J. Electrochem. Soc., 152,
C179 (2005).
7) , , ,
, , , (I)
, , 121, 103 (2005);
, , , ,
(I)
, ,
122, 21 (2006).
8) K. Murase, H. Watanabe, T. Hirato, and Y.
Awakura, Potential pH diagram of the
Cd-Te-NH3-H2O system and electro-
deposition behavior of CdTe from am-
moniacal alkaline baths, J. Electrochem.
Soc., 146, 1798 (1999).
9) K. Koyama, M. Tanaka, and J.-c. Lee,
Copper leaching behavior from waste
46
Review of Polarography, Vol.60, No.1, (2014)
printed circuit board in ammoniacal alka-
line solution, Mater. Trans., 47, 1788
(2006).
10) E. Peters, Direct leaching of sulfides:
Chemistry and applications, Metall.
Trans. B, 7, 505 (1976).
11) , , -pH
CdTe
, , 55, 903
(2004).
12) K. Murase, T. Honda, M. Yamamoto, T.
Hirato, and Y. Awakura, Electrodeposi-
tion of CdTe from basic aqueous solu-
tions containing ethylenediamine, J.
Electrochem. Soc., 148, C203 (2001).
13) , , ,
,
CdTe ,
, 53, 535 (2002).
14) K. Murase, T. Suzuki, Y. Umenaka, T.
Hirato, and Y. Awakura, Thermodynamics
of cathodic ZnTe electrodeposition using
basic ammoniacal electrolytes: Why
CdTe can deposit while ZnTe cannot,
High Temp. Mater. Process., 30, 451
(2011).
43
47
Review of Polarography, Vol.60, No.1, (2014)