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Effects of Electron Correlations in a Simple Model for Adiabatic Electrochemical Reactions: The General Relationships

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Abstract

General relationships for adiabatic free-energy surfaces (AFES) for electrochemical reactions of electron transfer are derived in the framework of exactly solvable model of the so-called surface molecule, which is a limiting case of Anderson's Hamiltonian and may be applied to transition metals. As opposed to earlier models for adiabatic reactions, the model exactly allows for the effects of electron–electron correlations. The obtained results constitute a basis for calculating AFES and plotting diagrams that correspond to different kinetic regimes of one- and two-electron processes.

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REFERENCES

  1. Ziman, J.M., Principles of the Theory of Solids, London: Cambridge Univ. Press, 1972.

    Google Scholar 

  2. Dogonadze, R.R. and Chizmadzhev, Yu.A., Dokl. Akad. Nauk SSSR, 1962, vol. 144, p. 1077.

    Google Scholar 

  3. . Kuznetsov, A.M., Charge Transfer in Physics, Chemistry, and Biology, Reading: Gordon & Breach, 1995.

    Google Scholar 

  4. Kuznetsov, A.M. and Ulstrup, J., Electron Transfer in Chemistry and Biology, Chichester: Wiley, 1999.

    Google Scholar 

  5. Hush, N.S., J. Electroanal. Chem., 1999, vol. 460, p. 5.

    Google Scholar 

  6. Sutin, N., Adv. Chem. Phys., 1999, vol. 106, p. 7.

    Google Scholar 

  7. Dogonadze, R.R., Kuznetsov, A.M., and Vorotyntsev, M.A., J. Electroanal. Chem., 1970, vol. 25, p. 17.

    Google Scholar 

  8. Dogonadze, R.R., Kuznetsov, A.M., and Vorotyntsev, M.A., Croat. Chem. Acta, 1972, vol. 44, p. 257.

    Google Scholar 

  9. Kuznetsov, A.M., J. Electroanal. Chem., 1983, vol. 159, p. 241.

    Google Scholar 

  10. Schmickler, W., J. Electroanal. Chem., 1986, vol. 204, p. 31.

    Google Scholar 

  11. Sebastian, K.L., J. Chem. Phys., 1989, vol. 90, p. 5056.

    Google Scholar 

  12. Boroda, Yu.G. and Voth, G.A., J. Chem. Phys., 1996, vol. 104, p. 6168.

    Google Scholar 

  13. Schmickler, W., Electrochim. Acta, 1996, vol. 14, p. 2329.

    Google Scholar 

  14. Koper, M.T.M. and Schmickler, W., J. Electroanal. Chem., 1998, vol. 450, p. 83.

    Google Scholar 

  15. Koper, M.T.M. and Voth, G.A., Chem. Phys. Lett., 1998, vol. 282, p. 100.

    Google Scholar 

  16. Calhoun, A., Koper, M.T.M., and Voth, G.A., Chem. Phys. Lett., 1999, vol. 305, p. 94.

    Google Scholar 

  17. Schmickler, W. and Koper, M.T.M., Electrochem. Commun., 1999, vol. 1, p. 406.

    Google Scholar 

  18. Kuznetsov, A.M., Medvedev, I.G., and Ulstrup, J., Electrochem. Commun., 2000, vol. 2, p. 135.

    Google Scholar 

  19. Muscat, J.P. and Newns, D.M., Prog. Surf. Sci., 1978, vol. 9, p. 1.

    Google Scholar 

  20. Boroda, Yu.G. and Voth, G.A., J. Electroanal. Chem., 1998, vol. 450, p. 95.

    Google Scholar 

  21. Einstein, T.L., Hertz, J.A., and Schrieffer, J.A., Theory of Chemisorption, vol. 19 of Topics in Current Physics, Smith, J.R., Ed., Berlin: Springer, 1980.

    Google Scholar 

  22. Morrison, S.R., The Chemical Physics of Surfaces, New York: Plenum, 1977.

    Google Scholar 

  23. Medvedev, I.G., Surf. Sci., 1992, vol. 274, p. 393.

    Google Scholar 

  24. Anderson, P.W., Phys. Rev., 1961, vol. 124, p. 41.

    Google Scholar 

  25. Kornyshev, A.A. and Schmickler, W., J. Electroanal. Chem., 1985, vol. 185, p. 253.

    Google Scholar 

  26. Brenig, W. and Schönhammer, K., Z. Phys. B: Condens. Matter, 1974, vol. 267, p. 201.

    Google Scholar 

  27. Einstein, T.L., Phys. Rev. B, 1975, vol. 11, p. 577.

    Google Scholar 

  28. Volokitin, A.I., Fiz. Tverd. Tela (Leningrad), 1978, vol. 20, p. 1206.

    Google Scholar 

  29. Medvedev, I.G., J. Phys: Condens. Matter, 1997, vol. 9, p. 4129.

    Google Scholar 

  30. Medvedev, I.G., Khim. Fiz., 1986, vol. 5, p. 442.

    Google Scholar 

  31. Medvedev, I.G., Elektrokhimiya, 1993, vol. 29, p. 1107.

    Google Scholar 

  32. Schönhammer, K., Phys. Rev. B, 1976, vol. 13, p. 4336.

    Google Scholar 

  33. Dworin, L., Phys. Rev., 1967, vol. 164, p. 818.

    Google Scholar 

  34. Kuznetsov, A.M., Stochastic and Dynamic Views on Chemical Reaction Kinetics in Solutions, Lausanne: Presses Polytechniques et Universitaires Romandes, 1999.

    Google Scholar 

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Kuznetsov, A.M., Medvedev, I.G. Effects of Electron Correlations in a Simple Model for Adiabatic Electrochemical Reactions: The General Relationships. Russian Journal of Electrochemistry 37, 335–340 (2001). https://doi.org/10.1023/A:1016606603869

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