Abstract
When an electric field is applied to a metal, in addition to the transport of electrons, a relatively small transport of the metal ions also occurs. This process of mass transport of metal ions is sometimes referred to as electromigration or electrodiffusion, and will be referred to in this review as electrotransport. Because almost all the current is carried by electrons, the process of electrotransport is quite inefficient. However, under the proper conditions it can be a valuable tool for purification purposes, and it also has some interesting theoretical features.
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References
1.
Gerardin
M.
, Compt. rend ., 1861 , 53 , 727 .
2.
Schwarz
K. E.
, "Elektrolytische Wanderung in flüssigen und fasten Metal-len" . 1940 : Leipzig (Johann Ambrosius Barth).
3.
Jost
W.
, "Diffusion in Solids, Liquids, and Gases" . 1952 : New York and London (Academic Press).
4.
Seith
W.
, "Diffusion in Metallen: PlatzwechseIrcaktionen" , 2nd edn . 1955 : Berlin (Springer Verlag).
5.
Einstein
A.
, Ann. Physik , 1905 , 17 , 549 .
6.
Bardeen
J.
, Phys. Rev ., 1949 , 76, 1403 (see footnote 8 , p. 1404 ).
7.
Bardeen
J.
Herring
C.
, "Atom Movements" , p. 87 . 1951 : Cleveland , O. (Amer. Soc. Metals ).
8.
LeClaire
A. D.
Lidiard
A. B.
, Phil. Meg ., 1956 , 1 , 518 .
9.
Compaan
K.
Haven
Y.
, Trans. Faraday Soc ., 1956 , 52 , 786 .
10.
Frenkel
J.
, "Kinetic Theory of Liquids" . 1955 : New York (Dover Publica-tions).
11.
Ma
C. H.
Swalin
R. A.
, J. Chem. Physics , 1962 , 36 , 3014 .
12.
Skaupy
F.
, Verheindl. dela. Phys. Oes ., 1914 , 16 , 156 .
13.
Lewis
G. N.
Adams
E. Q.
Lamman, J
E. H.
. Amer. Chem. Soc ., 1915 , 37 , 2656 .
14.
Wagner
C.
, Z. physikal. Chem ., 1933 , [A], 164 , 231.
15.
Mangelsdorf
P. C.
, J. Chem. Physics , 1960 , 33 , 1151 .
16.
Huntington
H. B.
Grone
A. R.
, J. Phys. Chem. Solids , 1961 , 20 , 76 .
17.
Schwarz
K.
, Z. physikal. Chem ., 1933 , [A], 164 , 223.
18.
Angus
J. C.
, Thesis, Univ. Michigan, 1961 .
19.
Files
V. B.
, Fizika Tverdogo Teta , 1959 , 1, 16 ; Soviet Physics—Solid State , 1959 , 1 , 14.
20.
Mott
N. F.
Jones
H.
, "The Theory of the Properties of Metals and Alloys" . 1936 : Oxford (Clarendon Press).
21.
Glinchuk
M. D.
, Ukrain. Fig. Zhur ., 1959 , 4 , 684 .
22.
Brown
S.
Barnett
S. J.
, Phys. Rev ., 1952 , 87 , 601 .
23.
Klemm
A.
, Z. Naturforsch ., 1954 , [A], 9,
1031 .
24.
Bresler
S. E.
Pikus
G. E.
, Zhur. Tekhn. Fiziki , 1958 , 28, 2282; Soviet Physics—Tech. Physics , 1958 , 3 , 2094 .
25.
Ginzburg
V. L.
, Pamyati Aleksandra Aleksandrovichna And rovnova , 1955 , 622 ; Chem. Abs ., 1959 , 53, 16707e .
26.
Grone
A. R.
, J. Phys. Chem. Solids , 1961 , 20 , 88 .
27.
Huntington
H. B.
and Siu-Chung Ho , J. Phys. Soc. Japan , to be published.
28.
Bosvieux
C.
Friedel
J.
, J. Phys. Chem. Solids , 1962 , 23 , 123 .
29.
Mangelsdorf
P. C.
, "Electrolysis and Diffusion in Liquid Alloys" (Met. Soc. A.I.M.E. Conferences , Vol. 7 ), p. 429 . 1961 : New York and London (Interacience Publishers).
30.
Schulz
L. G.
, Advances in Physics , 1957 , 6 , 102 .
31.
Cusack
N.
Kendall
P.
, Phil. May ., 1961 , 6 , 419 .
32.
Tieche
Y.
, Hely. Phys. Acta , 1960 , 33 , 963 .
33.
Mangelsdorf
P. C.
, J. Chem. Physics , 1960 , 32 , 293 .
34.
de Gennes
P. G.
, J. Phys. Radium , 1956 , 17 , 343 .
35.
Klemm
A.
, Z. Naturforsch ., 1953 , [A], 8 , 397.
36.
Laity
R. W.
, J. Phys. Chem ., 1959 , 63 , 80 .
37.
Onsager
L.
, Ann. N.Y. Acad. Sci ., 1945 , 46 , 241 .
38.
Klemm
A.
, Z. Naturforsch ., 1954 , [A], 9,
1031 .
39.
Haeffner
E.
, Nature , 1953 , 172 , 775 .
40.
Baranowski
B.
, Roczniki Chem ., 1955 , 29 , 129 .
41.
Baranowski
B.
, ibid ., 1955 , 29 , 586 .
42.
Baranowski
B.
, Bull. Acad. Polon. Sci ., Ser. Sci. Math. A stron ., 1955 ,3 , (2 ), 117 .
43.
Baranowski
B.
, ibid ., 1956 , 4 , (7 ), 465 .
44.
Baranowski
B.
Cukrowski
A. S.
, Bull. Acad. Polon. Sci., Ser. Sci. Chim ., 1962 , 10 , (3 ), 135 .
45.
Belashchenko
D. K.
Zhukovitsky
A. A.
, Zhur. Fiz. Xhim ., 1961 , 85 , 1921 ; Russ. J. Phys. Chem ., 1961 , 35 , 944.
46.
Belashchenko
D. K.
Bokshtein
B. S.
, ibid ., 1961 ,35, 2228; 1961 , 35, 1099 .
47.
Denbigh
K. G.
, "The Thermodynamics of the Steady State" . 1951 : London (Methuen); New York (John Wiley).
48.
Baranowski
B.
Cukrowski
A. S.
, Zhur. Fiz. Khim ., 1962 , 36 , 2096 .
49.
Belashchenko
D. K.
Zhukovitsky
A. A.
, ibid ., 1962 , 36 , 2098 .
50.
Drakin
S. I.
, ibid ., 1953 , 27 , 1586 .
51.
Baranowski
B.
, ibid ., 1954 , 28 , 1676 .
52.
Gurov
K. P.
, Fizika Metallov i Metallovalenie , 1961 , 11, 496 ; Physics Metals Metallography , 1961 , 11 , (4) , 18 .
53.Th. Heumann , "The Physical Chemistry of Metallic Solutions and Inter-metallic Compounds" (N.P.L. Symposium ), Vol. I , paper
20 . 1959 : London (H.M. Stationery Office).
54.
Weyer
II.
, Z. Elektrochem ., 1956 , 60 , 1170 .
55.
Waver
H.
, "The Physical Chemistry of Metallic Solutions and Intermetallic Compounds" , Vol. I . paper 2L.
1959 : London (II.M. Stationery Office).
56.
Waver
H.
Seith
W.
, Z. Elektrochem ., 1955 , 59 , 942 .
57.
Grone
A. R.
, J. Phys. Chem. Solids , 1961 , 20 , 88 .
58.
Kuz'menko
P. P.
Khar'kov
E. I.
, Ukrain. Fig. Zhur ., 1958 , 3 , 528 .
59.
Kuz'menko
P. P.
Khar'kov
E. I.
, ibid ., 1959 , 4 , 537 .
60.
Khar'kov
E. I.
Kuz'menko
P. P.
, ibid ., 1960 , 5 , 428 .
61.
Kuz'menko
P. P.
Khar'kov
E. L
, ibid ., 1959 , 4 , 401 .
62.
Kuz'menko
P. P.
Groin
V. S.
ibid. , 1961 , 6 , 140.
63.
Kuz'menko
P. P.
, ibid ., 1962 , 7 , 117 .
64.
Kuz'menko
P. P.
Khar'kov
E. I.
, ibid ., 1960 , 5 , 430 .
65.
Frantsevich
I. N.
, "An Investigation of Electric Transport in Solid Metals Using Radioactive Isotopes" , (UNESCO/NS/RI0/29).
1957 : London (Pergamon Press).
66.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Pen'kovsky
V. V.
, Doklady Akad. Nauk S.S.S.R ., 1958 , 121, 277 ; Soviet Physics—Doklady , 1958 , 8 , 842.
67.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Pen'kovsky
V. V.
, Ukrain. Fin. Zhur ., 1958 , 3 , 552 .
68.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
, Fizika Tverdogo Tekt , 1959 , 1, 62 ; Soviet Physics—Solid State , 1959 , 1 , 58.
69.
Gertsriken
S. D.
Ya
I.
. Dekhtyar, V. S. Mikhalenkov, and V. M. Farchenko , Ukrain. Fin. Zhur ., 1961 , 6 , 129 .
70.
Gertsriken
S. D.
Ya
I.
. Dekhtyar, V. S. Mikhalenkov, and E. G. Madatova ,, ibid ., 1960 , 5 , 79 .
71.
Gertsriken
S. D.
Dekhtyar
L Ya.
Mikhalenkov
V. S.
Madatova
E. G.
, po. Zharoproch. Splavam. Akad. Nauk S.S.S.R., Inst. Met. int. A. A. Baikova , 1960 , 6 , 99 .
72.
Claisse
F.
Koenig
H. P.
, Acta Met ., 1956 , 4 , 650 .
73.
de Boer
J. H.
Fast
J. D.
, Rep. Tray. Chim ., 1940 , 59 , 161 .
74.
Seith
W.
and Th. Daur , Z. Blektrochem ., 1938 , 44 , 256 .
75.
Coehn
A.
Specht
W.
, Z. Physik , 1930 , 62 , 1 .
76.
Wagner
C.
Heller
G.
, Z. physikal. Chem ., 1940 , [B], 46 , 242.
77.
Williams
J. M.
Huffine
C. L.
, Nuclear Sci. .Eng ., 1961 , 9 , 500 .
78.
Yavoisky
V. I.
Chernega
D. F.
, &al , 1956 , 16 , 790 .
79.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
, Fizika Metallov i Metallovedenie , 1959 , 8, 574 ; Physics Metals Metallography , 1959 , 8 , (4) , 93 .
80.
Kalinovich
D. F.
, Fizika Tverdogo Tela , 1961 , 3, 1117 ; Soviet Physics—Solid State , 1961 , 3 , 812.
81.
Babikova
Yu. F.
Gruzin
P. L.
, Fizika Metallov i Metallovedenie , 1957 , 5, 255 ; Physics Metals Netallography , 1957 , 5 , (2) , 57 .
82.
Gruzin
P. L.
Babikova
Yu. F.
Polikarpov
Yu. A.
Fedorov
G. B.
, "Investigation into Carbon Atom Mobility and Atomic Interaction in Alloys by Use of the Tracer Techniques" (UNESCO/NS/RIC/28).
1957 : London (Pergatnon Press).
83.
Gruzin
P. L.
et al., Problemy Metalloved. i Fiz. Metal., Inst. Metalloved. Piz. Metal , Sb. Tr ., 1958 , 5 , 327 .
84.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Pen'kovsky
V. V.
, Ukrain. Fiz. Zhur ., 1958 , 3 , 124 .
85.
Frantsevich
I. N.
Kovensky
I.I.
Dopovidi Akad. Nauk Ukr. R.S.R. ,1961 , (9 ), 1169 .
86.
Frantsevich
I. N.
Kovensky
I. I.
, ibid ., 1961 , (11),
1471 .
87.
Smolin
M. D.
Frantsevich
I. N.
, Fizika Tverdogo Tekt , 1961 , 8 , 2115 ; Soviet Physics—Solid State , 1962 , 3 , 1536.
88.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
, Fizika Metallov i Metal-lovedenie , 1961 , 11, 307 ; Physics Metals Metallograph.y , 1961 , 11 , (2) , 148 .
89.
Frantsevich
I. N.
Kalinovich
D. F.
, 1.1. Kovensky, and M. D. Smolin, Inzhen. Fiz. Zhur., Akad. Nauk Belorussk. 8.5.5.R.,
1959 , 2 , (4) , 47 .
90.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Pen'kovsky
V. V.
Smolin
M. D.
, Dopovidi Akad. Nauk Ukr. R.S.R ., 1958 , (7) , 736 .
91.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
, Invest. Akad. Nauk S.S.S.R. (Otdel. Tekhn.) Met. i Topl ., 1959 , (1) , 71 .
92.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
, Inzhen. Fin. Zhur., Akad. Nauk Belorussk. 5.8.5.1i., 1959 , 2 , (9) , 62 .
93.
Frantsevich
I. N.
Kalinovich
D. F.
Kovensky
I. I.
Pen'kovsky
V. V.
, Ukrain. Fin. Zhur ., 1958 , 3, (1), Suppl., 64 .
94.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
Frantsevich
I. N.
, Fizika Metallov i Metalloveclenie , 1960 , 10, 42 ; Physics Metals Metallography , 1960 , 10 , (1) , 41 .
95.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
Frantsevich
I. N.
, Inzhen. Fiz. Zhur., Akad. Nauk Belorussk. S.S.S.R ., 1961 , 4 , (5 ), 108 .
96.
Smolin
M. D.
Frantsevich
I. N.
, Doklady Akad. Nauk S.S.S.R ., 1961 , 136, 81 ; Soviet Physics—Doklacly , 1961 , 6 , 66.
97.
Frantsevich
I. N.
Smolin
M. D.
, Dopovidi Akad. Nauk Ukr. R.B.R ., 1961 , (7) , 908 .
98.
Kalinovich
D. F.
Kovensky
I. I.
Smolin
M. D.
, Fizika Metallov i Metallovedenie , 1962 , 13 , 930 .
99.
Khar'kov
E. I.
Kuz'menko
P. P.
, Ukrain. Fiz. Zhur ., 1959 , 4 , 389 .
100.
Kuz'menko
P. P.
Khar'kov
E. I.
Grinevich
G. P.
, ibid ., 1960 , 5 , 683 .
101.
Kuz'menko
P. P.
Ostrovsky
L. F.
, ibid ., 1961 , 6 , 525 .
102.
Kuz'menko
P. P.
Ostrovsky
L. F.
Koval'chuk
V. S.
, Fizika Tverdogo Tela , 1962 , 4, 490 ; Soviet Physics—Solid State , 1962 , 4 , 356.
103.
Kuz'menko
P. P.
Ostrovsky
L. F.
Koval'chuk
V. S.
, Fizika Metallov Metallovedenie , 1962 , 13 , 406 .
104.
Kuz'menko
P. P.
, Ukrain. Fiz. Zhur ., 1961 , 6 , 116 .
105.
Kubaschewski
O.
Reinartz
K.
, Z. Elektrochem ., 1948 , 52 , 75 .
106.
Fuller
C. S.
Severiens
J. C.
, Phys. Rev ., 1954 , 96 , 21 .
107.
Gallagher
C. J.
, J. Phys. Chem. Solids , 1957 , 3 , 82 .
108.
Ibragimov
I. I.
Kuliev
A. A.
, Fizika Tverdogo Tela , 1961 , 3, 3330 ; Soviet Physics—Solid State , 1962 , 3 , 2418.
109.
Boltaks
B. I.
Kulikov
G. S.
Sh
R.
. Malkovich , ibid ., 2, 2395 ; 1960 , 2 , 2134.
110.
Files
V. B.
, ibid ., 1, 1321 ; 1959 , 1 , 1211.
111.
Konstantinov
B. P.
Badenko
L. A.
, ibid ., 2, 2696 ; 1960 , 2 , 2400.
112.
Drakin
S. I.
, Izvest. Akad. Nauk S.S.S.R., (Sekt. Fiz. Khim. Anal. ), 1950 , 20 , 341 .
113.
Drakin
S. I.
Maltsev
A. K.
, Zhur. Fiz. Shim ., 1957 , 31 , 2036 .
114.
Drakin
S. I.
Golukova
Yu. K.
Ushakova
E. P.
, ibid ., 1960 , 34, 866 ; Russ. J. Phys. Chem ., 1960 , 34 , 411.
115.
Drakin
S. I.
Sergeeva
T. N.
Rnsakova
U. N.
, ibid ., 35, 1125 ; 1961 , 35 , 551.
116.
Belashchenko
D. K.
, Izvest. Vysshikh Uchebn. Zavedenii, Khim. i Khim. Tekhnol ., 1960 , (2) , 285 .
117.
Belashchenko
D. K.
, Izvest. Vysshikh Uchebn. Zavedenii,Chernaya Met ., 1981 , (9),5 .
118.
Belashchenko
D. K.
, Izvest. Akad. Nyack 5.5.8.11. (Otclel. Tekhn.), Met. I Topl., 1960 , (6) , 89 .
119.
Belashchenko
D. K.
, Zhur. Fiz. Khim ., 1961 , 35 , 1875 ; Russian J. Phys. Chem ., 1961 , 35 , 923.
120.
Belashchenko
D. K.
Grigor'ev
G. A.
, Izvest. Vysshikh Uchebn. Zaveclenii, Cherrtaya Met ., 1961 , (11) , 116 .
121.
Mangelsdorf
P. C.
, J. Chem. Physics , 1959 , 30 , 1170 .
122.
Rabkin
M. A.
, Zhur. Fri/clad. Khim ., 1957 , 30, 791 ; J. Appl. Chem. U.S.S.R ., 1957 , 30 , 832.
123.
Yavoisky
V. I.
Batalin, Trudy Nauchn. Tekhn. Obslcche
G. I.
,stva Chernoi Met ., 1955 , 4 , 74 .
124.
Angus
J. C.
Hucke
E. E.
, J. Phys. Chem ., 1961 , 65 , 1549 .
125.
Lunden
A.
Reutersward
C.
Lodding
A.
, Z. Naturforsch ., 1955 , [A], 10 , 924.
126.
Lodding
A.
Lundell
A.
von Ubisch
H.
, ibid ., 1956 , [A], 11 , 139.
127.
Lunden
A.
Lodding
A.
Fischer
W.
, ibid ., 1957 , [A], 12 , 268.
128.
Lodding
A.
, ibid ., 1959 , [A], 14 , 7.
129.
Lodding
A.
, ibid ., 1959 , [A], 14 , 934.
130.
Lodding
A.
, ibid ., 1961 , [A], 16,
1252 .
131.
Haeffner
E.
, Nature , 1953 , 172 , 775 .
132.
Haeffner
E.
, Th. Sjoborg, and S. Lindhe, Z. Naturforsch ., 1956 , [A], 11 , 71.
133.
Bogoyavlensky
I. V.
Grigor'ev
V. N.
Rudenko
N. S.
Dolgopolov
D. G.
, Zhur. Eksper. i Teoret. Fiziki , 1957 , 33, 581 ; Soviet Physics—JETP , 1958 , 6 , 450.
134.
Bogoyavlensky
I. V.
Grigor'ev
V. N.
Rudenko
N. S.
, ibid ., 37, 1241 ; 1960 , 10 , 884.
135.
Nief
G.
Roth
E.
, Compt. rend ., 1954 , 239 , 162 .
136.
Goldman
M. M.
Nief
G.
Roth
E.
, ibid ., 1956 , 243 , 1414 .
137.
Lodding
A.
, "Isotope Transport in Liquid Metals" , (Gothenburg Studies in Physics,
No. 1 ). 1961 : Stockholm (Almquist and Wiksell).
138.
Seith
W.
Weyer
H.
, Z. Elektrochem ., 1953 , 57 , 891 .
139.
Belashehenko
D. K.
Grigor'ev
G. A.
, lzvest. Vysshikh Uchebn. Zavedenii, Chernaya Met ., 1962 , (1) , 124 .
140.
Bresler
S. E.
Pikus
G. E.
, Zhur. Tekhn. Fiziki , 1956 , 26, 109 ; Soviet Physics—Tech. Physics , 1956 , 1 , 102.
141.
Epstein
S.
and J. R. Weeks , (Brookhaven National Labs., New York), private communication .