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Quantum Theory of Charge-Transfer Processes in Condensed Media

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Modern Aspects of Electrochemistry

Part of the book series: Modern Aspects of Electrochemistry ((MAOE,volume 28))

Abstract

There exist a large variety of phenomena in condensed media (liquids and solids) that are interpreted as charge-transfer processes involving the transition of a single electron, proton, or ion from one atom or atomic group to another. Examples are redox reactions in solution and at electrodes, acid—base catalysis, the electrodeposition and dissolution of metals, the process of hydrogen evolution at metals and semiconductors, and the anodic oxidation of metals. They all belong to the field of electrochemistry in the usual meaning of that term. Many processes of a similar nature are treated in other areas of natural science, in particular, in solid-state physics and in biophysics. Examples are polaron motion in ionic and molecular crystals, the ionization of point defects in insulators and semiconductors, and elementary processes in photosynthesis and vision.

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References

  1. S. Glasstone, K. J. Laidler, and H. Eyring, The Theory of Rate Processes, Plenum Press, New York, 1941.

    Google Scholar 

  2. P. Pechucas, in Dynamics of Molecular Collisions, Part B, Ed. by W. H. Miller, Plenum Press, New York, 1976.

    Google Scholar 

  3. S. G. Christov, Ber. Bunsenges. Phys. Chem. 57 (1972) 2458.

    Google Scholar 

  4. S. G. Christov, Ber. Bunsenges. Phys. Chem. 78 (1974) 537.

    Google Scholar 

  5. S. G. Christov, Collision Theory and Statistical Theory of Chemical Reactions, Lecture Notes in Chemistry, Vol. 18, Springer-Verlag, Berlin, 1980.

    Google Scholar 

  6. M. Born and J. R. Oppenheimer, Ann. Phys. 84 (1927) 457.

    CAS  Google Scholar 

  7. S. G. Christov, Crit. Rev. Solid State Mater. Sci. 16 (1990) 337.

    Google Scholar 

  8. S. G. Christov, Phil. Mag. B49 (1984) 325.

    Google Scholar 

  9. S. G. Christov, Phil. Mag. B52 (1985) 71, 91.

    Google Scholar 

  10. S. G. Christov, Z. Electrochem. 64 (1960) 840.

    Google Scholar 

  11. L. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon Press, Oxford, 1958.

    Google Scholar 

  12. T. Holstein, Ann. Phys. (N.Y.) 8 (1959) 325, 343.

    CAS  Google Scholar 

  13. V. Bihovskii, E. E. Nikitin, and M. Ovchinnikova, Zh. Eksp. Teor. Fiz. 47 (1964) 750.

    Google Scholar 

  14. M. Ovchinnikova, Dokl. Akad. Nauk USSR 161 (1965) 641.

    CAS  Google Scholar 

  15. S. G. Christov, Ber. Bunsenges. Phys. Chem. 79 (1975) 357.

    Google Scholar 

  16. S. G. Christov, J. Electrochem. Soc. 124 (1977) 69.

    Google Scholar 

  17. S. G. Christov, Ann. Phys. 15 (1965) 87.

    Google Scholar 

  18. S. G. Christov, Dokl. Akad. Nauk USSR 136 (1960) 663.

    Google Scholar 

  19. F. Gutmann, Nature (London) 219 (1968) 1359; Jpn. J. Appl. Phys. 8 (1969) 1417.

    CAS  Google Scholar 

  20. F. Gutmann, H. Keyzer, and L. Lyons, Organic Semiconductors, Part B, R. E. Krieger, Malabar, Florida, 1983.

    Google Scholar 

  21. R. P. Bell, The Tunnel Effect in Chemistry, Chapman and Hall, London, 1980.

    Google Scholar 

  22. R. Daudel, G. Leroy, D. Peeters, and M. Sana, Quantum Chemistry, John Wiley & Sons, New York, 1983.

    Google Scholar 

  23. R. P. Bell, Acids and Bases, Science Paperbacks, London, 1969.

    Google Scholar 

  24. S. G. Christov, Phys. Rev. B 26 (1982) 6918.

    CAS  Google Scholar 

  25. J. Jortner, Phil. Mag. B40 (1979) 317.

    Google Scholar 

  26. Y. I. Dakhnovskii and A. A. Ovchinnikov, Mol. Phys. 58 (1986) 237

    CAS  Google Scholar 

  27. A. A. Ovchinnikov and Y. I. Dakhnovskii, J. Electroanal. Chem. 204 (1986) 86.

    Google Scholar 

  28. R. Dogonadze and A. M. Kusnetsov, in Itogi Nauki, Elektrokhimiya, 1967, Academy of Sciences Moscow, 1969.

    Google Scholar 

  29. J. O. Hirschfelder and E. E. Wigner, J. Chem. Phys. 7 (1939) 619.

    Google Scholar 

  30. V. G. Levich, Adv. Electrochem. 4 (1967) 249.

    Google Scholar 

  31. V. G. Levich and R. Dogonadze, Collect. Czech. Chem. Commun. 26 (1961) 193.

    CAS  Google Scholar 

  32. J. Appel, in Solid State Physics, Vol. 21, Ed. by H. Ehrenfest, F. Seitz, and D. Turnbull, Academic Press, New York, 1968.

    Google Scholar 

  33. S. G. Christov, Phys. Rev. B26 (1982) 6918.

    Google Scholar 

  34. R. Dogonadze and A. M. Kusnetsov, in Itogi Nauki, Techniki, Vol. 2, VINITI, Moscow, 1973 [in Russian]; Prog. Surf. Sci. 6 (1976) 3.

    Google Scholar 

  35. S. G. Christov, Int. J. Quant. Chem. 36 (1989) 391.

    Google Scholar 

  36. S. G. Christov, Int. J. Quant. Chem. 44 (1992) 1.

    Google Scholar 

  37. H. A. Kramers, Physica 7 (1940) 284.

    CAS  Google Scholar 

  38. E. Pollak, Chem. Phys. Lett. 127 (1986) 178; J. Chem. Phys. 85 (1986) 865.

    CAS  Google Scholar 

  39. I. V. Aleksandrov, Chem. Phys. 51 (1980) 449.

    Google Scholar 

  40. S. G. Christov, Khim. Fiz. 10 (1991) 147.

    Google Scholar 

  41. F. G. Wolynes, Phys. Rev. Lett. 47 (1981) 968.

    CAS  Google Scholar 

  42. P. Hanggi, H. Grabert, G. L. Ingold, and U. Weiss, Phys. Rev. Lett. 55 (1985) 761.

    CAS  Google Scholar 

  43. P. Hanggi, J. Stat. Phys. 42 (1986) 105; 55 (1986) 761.

    Google Scholar 

  44. S. G. Christov, J. Mol. Phys. 76 (1992) 1241.

    Google Scholar 

  45. W. F. Libby, J. Phys. Chem. 56 (1952) 865.

    Google Scholar 

  46. R. A. Marcus, J. Chem. Phys. 24 (1956) 966.

    CAS  Google Scholar 

  47. R. A. Marcus, J. Chem. Phys. 43 (1965) 679.

    CAS  Google Scholar 

  48. R. A. Marcus, Annu. Rev. Phys. Chem. 15 (1964) 155.

    CAS  Google Scholar 

  49. N. S. Hush, J. Chem. Phys. 28 (1958) 962; Z Electrochem. 61 (1957) 734.

    CAS  Google Scholar 

  50. V. G. Levich and R. Dogonadze, Dokl. Akad. Nauk SSR 124 (1959) 123; 133 (1960) 158.

    CAS  Google Scholar 

  51. V. G. Levich, in Advances in Electrochemistry and Electrochemical Engineering, Vol. IV, Ed. by P. Delahay, Interscience, New York.

    Google Scholar 

  52. R. Dogonadze and A. M. Kusnetsov, in Itogi Nauki, Elektrokhimiya, 1967, Academy of Sciences, Moscow, 1969 [in Russian].

    Google Scholar 

  53. R. Dogonadze and A. M. Kusnetsov, in Itogi Nauki, Techniki, Ser. Phys. Khim., Vol. 2, Kinetika, HIR, Moscow, 1973 [in Russian].

    Google Scholar 

  54. W. Schmickler and W. Vielstich, Electrochim. Acta 18 (1973) 883.

    CAS  Google Scholar 

  55. W. Schmickler, Ber. Bunsenges. Phys. Chem. 77 (1973) 991.

    CAS  Google Scholar 

  56. N. R. Kestner, J. Logan, and J. Jortner, J. Phys. Chem. 79 (1974) 2148.

    Google Scholar 

  57. J. Ulstrup, Charge Transfer Processes in Condensed Media, Lecture Notes in Chemistry, Vol. 10, Springer-Verlag, Berlin, 1979.

    Google Scholar 

  58. J. O’M. Bockris and S. U. Khan, Quantum Electrochemistry, Plenum Press, New York, 1979.

    Google Scholar 

  59. L. Landau, Phys. Z. Sowjetunion 3 (1933) 664.

    CAS  Google Scholar 

  60. I. Pekar, Untersuchungen über die Elektronentheorie der Kristalle, Akademie, Berlin, 1954.

    Google Scholar 

  61. R. Dogonadze, Dokl. Akad. Nauk USSR 142 (1962) 1108.

    CAS  Google Scholar 

  62. V. G. Levich and R. Dogonadze, Collect. Czech. Chem. Commun. 26 (1961) 193.

    CAS  Google Scholar 

  63. V. G. Levich, in Advances in Electrochemistry and Electrochemical Engineering, Vol. 4, Ed. by P. Delahay, 1965, p. 249.

    Google Scholar 

  64. B. Yakobson and A. Burshtein, Chem. Phys. 49 (1980) 385.

    CAS  Google Scholar 

  65. M. D. Newton, Int. J. Quant. Chem. 14 (1980) 363.

    CAS  Google Scholar 

  66. B. S. Brunschwig, J. Logan, M. D. Newton, and N. Sutin, J. Am. Chem. Soc. 102 (1980) 5798.

    CAS  Google Scholar 

  67. I. V. Aleksandrov, Chem. Phys. 51 (1980) 449.

    Google Scholar 

  68. H. Sumi, J. Phys. Soc. Jpn. 49 (1980) 1701.

    CAS  Google Scholar 

  69. E. F. Caldin and S. Matco, J. Chem. Soc. Faraday Trans. 1 71 (1975) 1876.

    CAS  Google Scholar 

  70. R. P. Bell, Chem. Soc. Rev. 3 (1974) 19.

    Google Scholar 

  71. E. M. Mortensen, J. Chem. Phys. 49 (1968) 3526.

    CAS  Google Scholar 

  72. J. O’M. Bockris, in Modern Aspects of Electrochemistry, No. 1, Ed. by J. O’M. Bockris and B. E. Conway, Butterworths, London, 1954.

    Google Scholar 

  73. H. Gerischer, Z. Electrochem. 62 (1958) 256.

    CAS  Google Scholar 

  74. A. R. Despic and J. O’M. Bockris, J. Chem. Phys. 32 (1960) 389.

    CAS  Google Scholar 

  75. N. F. Mott and R. Watts-Tobin, Electrochim. Acta 4 (1961) 79.

    CAS  Google Scholar 

  76. L. Young, Anodic Oxide Films, Academic Press, London, 1950.

    Google Scholar 

  77. E. J. Verwey, Physica 2 (1936) 1059.

    Google Scholar 

  78. N. F. Mott, Trans. Faraday Soc. 43 (1948) 429.

    Google Scholar 

  79. N. Cabrera and N. F. Mott, Rep. Prog. Phys. 12 (1948–1949) 163.

    CAS  Google Scholar 

  80. S. G. Christov and S. Ikonopisov, J. Electrochem. Soc. 116 (1969) 56.

    Google Scholar 

  81. L. Young, Proc. R. Soc. London Ser. A 258 (1960) 496; 263 (1961) 395.

    CAS  Google Scholar 

  82. L. Young and F. G. R. Zobel, J. Electrochem. Soc. 113 (1966) 277.

    CAS  Google Scholar 

  83. M. G. Dignam, D. Good, and M. Spleq, Can. J. Chem. 43 (1965) 800.

    CAS  Google Scholar 

  84. L. I. Krishtalik, J. Electroanal. Chem. 100 (1979) 547.

    CAS  Google Scholar 

  85. D. E. Khoshtaria, V. V. Topolev, and L. I. Krishtalik, Bioorg. Khim. 4 (1978) 1341.

    Google Scholar 

  86. A. N. Frumkin, O. A. Petri, and N. N. Nikolaeva-Fedorovich, Electrochim. Acta 8 (1963) 177.

    CAS  Google Scholar 

  87. R. Parsons and E. Passeron, J. Electroanal. Chem. 12 (1966) 524.

    CAS  Google Scholar 

  88. S. G. Christov, Ann. Univ. Sofia, Fac. Phys. Math. 42 (1945–1946) 63.

    Google Scholar 

  89. S. G. Christov, Z. Electrochem. 62 (1958) 567.

    CAS  Google Scholar 

  90. B. E. Conway, Can. J. Chem. 37 (1957) 178.

    Google Scholar 

  91. B. E. Conway and M. Salomon, J. Chem. Phys. 41 (1964) 3169.

    CAS  Google Scholar 

  92. J. O’M. Bockris and D. B. Mathews, Proc. R. Soc. London Ser. A 292 (1966) 479.

    CAS  Google Scholar 

  93. J. O’M. Bockris and D. B. Mathews, J. Chem. Phys. 44 (1966) 298.

    CAS  Google Scholar 

  94. S. G. Christov, Zh. Fiz. Khim. 17 (1968) 1553 [in Russian].

    Google Scholar 

  95. S. G. Christov, Croat. Chem. Acta 44 (1972) 67.

    Google Scholar 

  96. R. Dogonadze, A. M. Kusnetzov, and V. Levich, Electrochim. Acta 13 (1968) 1025.

    CAS  Google Scholar 

  97. S. G. Christov, Ber. Bunsenges. Phys. Chem. 67 (1963) 117.

    Google Scholar 

  98. J. O’M. Bockris and S. Srinivasan, J. Electrochem. Soc. 111 (1964) 844.

    CAS  Google Scholar 

  99. J. O’M. Bockris and S. Srinivasan, Electrochim. Acta 9 (1964) 31.

    CAS  Google Scholar 

  100. J. O’M. Bockris and D. B. Mathews, J. Chem. Phys. 44 (1966) 298.

    CAS  Google Scholar 

  101. J. O’M. Bockris and D. B. Mathews, Electrochim. Acta 11 (1966) 143.

    CAS  Google Scholar 

  102. S. G. Christov, Croat. Chem. Acta 44 (1972) 67.

    Google Scholar 

  103. S. G. Christov, J. Res. Inst. Catal. Hokkaido Univ. 24 (1976) 27.

    CAS  Google Scholar 

  104. J. O’M. Bockris and D. B. Mathews, Proc. R. Soc. London Ser. A 292 (1966) 479.

    CAS  Google Scholar 

  105. J. O’M. Bockris and D. B. Mathews, J. Chem. Phys. 44 (1966) 298.

    CAS  Google Scholar 

  106. V. M. Tsionsky and L. I. Krishtalik, Electrokhimiya 9 (1973) 810.

    Google Scholar 

  107. L. I. Krishtalik, Faraday Disc. Chem. Soc. 74 (1982) 205.

    Google Scholar 

  108. L. I. Krishtalik, Charge Transfer Reactions. Electrochemical and Chemical Processes, Plenum Press, New York, 1983.

    Google Scholar 

  109. B. Post and C. F. Husky, J. Am. Chem. Soc. 72 (1950) 4203; 73 (1951) 161.

    CAS  Google Scholar 

  110. M. I. Temkin, Zh. Fiz. Khim. 22 (1948) 1081.

    CAS  Google Scholar 

  111. B. E. Conway and M. Salomon, J. Chem Phys. 41 (1964) 3169.

    CAS  Google Scholar 

  112. R. A. Move, R. E. O’Ferrall, G. W. Koeppl, and A. J. Kresge, J. Am. Chem. Soc. 93 (1971) 1.

    Google Scholar 

  113. Yu. I. Kharkats and J. Ulstrup, J. Electroanal. Chem. 65 (1975) 555.

    CAS  Google Scholar 

  114. S. G. Christov and M. Parlapanski, Int. J. Chem. Kinet. 11 (1979) 665.

    Google Scholar 

  115. S. Sato, J. Chem. Phys. 23 (1955) 592, 2465.

    CAS  Google Scholar 

  116. E. M. Mortensen, J. Chem. Phys. 48 (1968) 4029, 49 (1968) 3562.

    CAS  Google Scholar 

  117. S. G. Christov and Z. L. Georgiev, J. Phys. Chem. 75 (1971) 1748.

    Google Scholar 

  118. R. W. Gurney, Proc. R. Soc. 134A (1930) 137.

    Google Scholar 

  119. J. A. V. Butler, Proc. R. Soc. 157A (1936) 423.

    Google Scholar 

  120. S. K. Chamorovksy, S. M. Remenikov, A. A. Kononenko, P. S. Venediktov, and A. B. Rubin, Biochim. Biophys. Acta 430 (1976) 62.

    Google Scholar 

  121. A. D. Gochev and S. G. Christov, C. R. Acad. Bulg. Sci. 31 (1978) 1147.

    CAS  Google Scholar 

  122. D. De Vault and B. Chance, Biophys. J. 6 (1966) 825.

    Google Scholar 

  123. A. D. Gochev, C. R. Acad. Bulg. Sci. 31 (1978) 695.

    Google Scholar 

  124. J. J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 71 (1974) 3640.

    CAS  Google Scholar 

  125. J. Jortner, J. Chem. Phys. 64 (1976) 4860.

    CAS  Google Scholar 

  126. M. Georgiev, A. D. Gochev, S. G. Christov, and A. Kyuldjiev, Phys. Rev. B 26 (1982) 6936.

    CAS  Google Scholar 

  127. A. D. Gochev, M. Georgiev, and S. G. Christov, J. Mol Struct. 115 (1984) 107.

    CAS  Google Scholar 

  128. L. Bosi, P. Padini, and G. Spinolo, Phys. Rev. 175 (1968) 1113.

    Google Scholar 

  129. S. Kapphan and F. Luty, Phys. Rev. B, 6 (1972) 1357.

    Google Scholar 

  130. R. Kubo and J. Toyozawa, Prog. Theor. Phys. 13 (1955) 160.

    Google Scholar 

  131. S. G. Christov, in Molecules in Physics, Chemistry and Biology, Vol. 39, Ed. by J. Maruani, Kluwer, London, 1989, p. 339.

    Google Scholar 

  132. M. Georgiev, F’Centers in Alkali Halides, Lecture Notes in Physics, Vol. 298, Springer-Verlag, Berlin, 1988.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physical Chemistry, Bulgarian Academy of Sciences, Sofia, 1040, Bulgaria

    S. G. Christov

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  1. S. G. Christov
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Editors and Affiliations

  1. University of Ottawa, Ottawa, Ontario, Canada

    B. E. Conway

  2. Texas A&M University, College Station, Texas, USA

    J. O’M. Bockris

  3. University of South Carolina, Columbia, South Carolina, USA

    Ralph E. White

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Christov, S.G. (1996). Quantum Theory of Charge-Transfer Processes in Condensed Media. In: Conway, B.E., Bockris, J.O., White, R.E. (eds) Modern Aspects of Electrochemistry. Modern Aspects of Electrochemistry, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1718-8_4

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