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Computer-aided Modeling of the Time Dependences of the Current during Anisotropic Growth of Product Nuclei

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Abstract

A fast computer model, intended for the calculation of the overall reaction rate (current) of anisotropic or nonhomotetic growth of a new-phase nuclei on the basis of the Voronoi diagram, is designed. The model is used for studying the kinetics of a heterogeneous reaction in the conditions where hemispherical nuclei of the new phase acquire a semiellipsoid shape in the course of an anisotropic growth. The calculation of current transients (potentiostatic i vs. t dependences) is substantially complicated in the initial stage of reaction, where the size of growing nuclei exceeds the critical value by less than an order of magnitude. If semiellipsoid nuclei overlap, the overall reaction rate is not determined by variations in the overall area of the reaction surface, as opposed to the growth of hemispherical nuclei. The kinetics of a nonhomotetic nuclei growth may be described by models designed for an isotropic growth of hemispherical nuclei.

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REFERENCES

  1. Rozovskii, A.Ya., Kinetika topokhimicheskikh reaktsii (Kinetics of Topochemical Reactions), Moscow: Khimiya, 1974.

    Google Scholar 

  2. Rozovskii, A.Ya., Geterogennye khimicheskie reaktsii: Kinetika i makrokinetika (Heterogeneous Chemical Reactions: Kinetics and Macrokinetics), Moscow: Nauka, 1980.

    Google Scholar 

  3. Delmon, B., Introduction a la cinetique heterogene, Paris: Technip, 1960.

    Google Scholar 

  4. Gamburg, Yu.D., Elektrokhimicheskaya kristallizatsiya metallov i splavov (The Electrochemical Crystallization of Metals and Alloys), Moscow: Yanus-K, 1997.

    Google Scholar 

  5. Polukarov, Yu.M., in Fizicheskaya khimiya: Sovremennye problemy (Physical Chemistry: Current Problems), Kolotyrkin, Ya.M., Ed., Moscow: Khimiya, 1985, p. 107.

    Google Scholar 

  6. Guterman, V.E. and Mironova, L.N., Elektrokhimiya, 2000, vol. 36, p. 470.

    Google Scholar 

  7. Lantelme, F., J. Electroanal. Chem., 1985, vol. 191, p. 343.

    Google Scholar 

  8. Milchev, A., Scharifker, B.R., and Hills, G.J., J. Electroanal. Chem., 1982, vol. 132, p. 277.

    Google Scholar 

  9. Gunawardena, G.A., Hills, G.J., Montenegro, I., and Scharifker, B.R., J. Electroanal. Chem., 1982, vol. 138, p. 225.

    Google Scholar 

  10. Sharifker, B. and Hills, G., Electrochim. Acta, 1983, vol. 28, p. 879.

    Google Scholar 

  11. Sharifker, B.R. and Mostany, J., J. Electroanal. Chem., 1984, vol. 177, p. 13.

    Google Scholar 

  12. Isaev, V.A. and Baraboshkin, A.N., Elektrokhimiya, 1985, vol. 21, p. 960.

    Google Scholar 

  13. Milchev, B.A., Kruijt, W.S., Sluyters-Rehbach, M., and Sluyters, J.H., J. Electroanal. Chem., 1993, vol. 350, p. 89.

    Google Scholar 

  14. Serruya, A., Mostany, J., and Scharifker, B.R., J. Chem. Soc. Faraday Trans., 1993, vol. 89, p. 255.

    Google Scholar 

  15. Kruijt, W.S., Sluyters-Rehbach, M., Sluyters, J.H., and Milchev, A., J. Electroanal. Chem., 1994, vol. 371, p. 13.

    Google Scholar 

  16. Barradas, B.R., Rennie, D.A., and van der Noot, T.J., J. Electroanal. Chem., 1986, vol. 209, p. 35.

    Google Scholar 

  17. Kovarskii, N.Ya., Avramenko, V.A., Voit, A.V., et al., Elektrokhimiya, 1990, vol. 26, p. 521.

    Google Scholar 

  18. Scharifker, B., Mostany, J., and Serruya, A., Electrochim. Acta, 1992, vol. 37, p. 2503.

    Google Scholar 

  19. Milchev, A., Kruijt, W.S., Sluyters-Rehbach, M., and Sluyters, J.H., J. Electroanal. Chem., 1993, vol. 362, p. 21.

    Google Scholar 

  20. Milchev, A., J. Chem. Phys., 1994, vol. 100, p. 160.

    Google Scholar 

  21. Moctany, J., Serruya, A., and Scharifker, B.R., J. Electroanal. Chem., 1995, vol. 383, p. 37.

    Google Scholar 

  22. Garcia-Pastoriza, E., Mostany, J., and Scharifker, B.R., J. Electroanal. Chem., 1998, vol. 441, p. 13.

    Google Scholar 

  23. Abyanesh, M.Y., J. Electroanal. Chem., 1986, vol. 210, p. 1.

    Google Scholar 

  24. Bosco, E. and Rangarajan, S.K., J. Electroanal. Chem., 1982, vol. 134, p. 225.

    Google Scholar 

  25. Heerman, L. and Tarallo, A., J. Electroanal. Chem., 1998, vol. 451, p. 101.

    Google Scholar 

  26. Tsakova, V. and Milchev, A., J. Electroanal. Chem., 1998, vol. 451, p. 211.

    Google Scholar 

  27. Milchev, A., J. Electroanal. Chem., 1998, vol. 457, p. 35.

    Google Scholar 

  28. Vilaseca, E., Trigueros, P.P., and Garsias, J.L., J. Electroanal. Chem., 1998, vol. 458, p. 55.

    Google Scholar 

  29. Guterman, V.E., Ginzburg, A.S., Lepin, E.A., and Mironova, L.N., Kinet. Katal., 1998, vol. 39, p. 505.

    Google Scholar 

  30. Armstrong, R.D., Fleishmann, M., and Thirsk, H.R., J. Electroanal. Chem., 1981, vol. 119, p. 187.

    Google Scholar 

  31. Guterman, V.E. and Nadolin, K.A., Abstracts of Papers, II Vseross. symp.Matematicheskoe modelirovanie i komp'yuternye tekhnologii” (II All-Russia Symp. “Mathematical Modeling and Computer-Aided Technologies”), Kislovodsk, 1998, vol. 2, p. 30.

    Google Scholar 

  32. Preparata, F. and Shamos, M., Computational Geometry, An Introduction, New York: Springer-Verlag, 1985.

    Google Scholar 

  33. Mehlhorn, K. and Naher, S., Commun. ACM, 1995, vol. 38, p. 96.

    Google Scholar 

  34. Korn, G.A. and Korn, T.M., Mathematical Handbook for Scientists and Engineers, New York: McGraw-Hill, 1968.

    Google Scholar 

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Guterman, V.E., Nadolin, K.A. Computer-aided Modeling of the Time Dependences of the Current during Anisotropic Growth of Product Nuclei. Russian Journal of Electrochemistry 37, 63–72 (2001). https://doi.org/10.1023/A:1009031829337

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