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Part of the book series: NATO ASI Series ((ASIC,volume 398))

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Abstract

The kinetics of rate processes on solid surfaces, as a rule, is substantially nonideal owing to the heterogeneity of the substrate, lateral interactions between adsorbed particles or adsorbate-induced changes in the surface. To describe these effects, one can use various approaches developed in statistical physics, including the quasi-chemical and Bethe-Peierls approximations, transfer-matrix technique, renormalization-group method, and Monte Carlo simulations. The review presented outlines the main ideas and mathematical formalism of the above mentioned approaches and their application in the theory of kinetic processes in adsorbed overlayers.

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References

  1. Boudart, M. and Djega—Mariadassou, G. (1984). Kinetics of Heterogeneous Catalytic Reactions, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  2. Somorjai, G.A. and Van Hove, M.A. (1980) “Adsorbate—induced restructuring of surfaces’, Progr. Surf. Sci. 30, 201–231.

    Article  Google Scholar 

  3. Roelofs, L.D., Foiles, S.M., Daw, M.S., and Baskes, M.I. (1990) ‘The (1×2) missing-row phase of Au(110): Energetics determined from an extended embedded atom method’, Surf. Sci. 234, 63–71.

    Article  CAS  Google Scholar 

  4. Rothschild, W.G. (1991) ‘Fractals in heterogeneous catalysis’, Catal. Rev.-Sci. Eng. 33, 71–107.

    Article  CAS  Google Scholar 

  5. Zhdanov, V.P. (1991) Elementary Physicochemical Processes on Solid Surfaces, Plenum, New York.

    Google Scholar 

  6. Zhdanov, V.P. (1991) ‘Rate processes on moderately smooth surfaces’, J. Chem. Phys. 95, 2162–2168.

    Article  CAS  Google Scholar 

  7. Baxter, R.J. (1982) Exactly Solved Models in Statistical Mechanics, Academic Press, London.

    Google Scholar 

  8. Einstein, T.L. (1991) ‘Multisite lateral interactions and their consequences’, Langmuir 7, 2520–2527.

    Article  CAS  Google Scholar 

  9. Derrida, B., de Seze, L., and Vannimenus, J. (1981) in Lecture Notes in Physics, Vol. 149, Springer, Berlin, p. 46.

    Google Scholar 

  10. Kinzel, W., Selke, W., and Binder, K. (1982) ‘Phase transitions on centered rectangular lattice gases’, Surf. Sci. 121, 13–31.

    Article  CAS  Google Scholar 

  11. Myshlyavtsev, A.V. and Zhdanov, V.P. (1989) ‘The effect of nearest-neighbour and next-nearest-neighbour lateral interactions on thermal desorption spectra’, Chem. Phys. Lett. 162, 43–46; Myshlyavtsev, A.V., Sales, J.L., Zgrablich, G., and Zhdanov, V.P. (1990) ‘The effect of lateral interactions on thermal desorption’, J. Stat. Phys. 58, 1029-1039; Payne, S.H., Kreuzer, H.J., and Roelofs, L.D. (1991) ‘Isosteric heat of adsorption for repulsive interactions’, Surf. Sci. 259, L781-786; Kreuzer, H.J. (1992) ‘Thermal desorption kinetics’, Langmuir 8, 774-781.

    Article  CAS  Google Scholar 

  12. Myshlyavtsev, A.V. and Zhdanov, V.P. (1990) ‘The effect of adsorbate—induced surface reconstruction on the apparent Arrhenius parameters for desorption’, J. Chem. Phys. 92, 3909–3916; Zhdanov, V.P. (1991) ‘Arrhenius parameters for rate processes on solid surfaces’, Surf. Sci. Rep. 12, 183-242.

    Article  CAS  Google Scholar 

  13. Myshlyavtsev, A.V. and Yablonskii, G.S. (1990) ‘Application of the transfer-matrix method to calculating the diffusion coefficient of interacting particles’, Poverkhnost No 12, 36–43 (in Russian).

    Google Scholar 

  14. Wilson, K.G. (1983) ‘Renormalization group and critical phenomena’, Rev. Mod. Phys. 55, 583–600.

    Article  Google Scholar 

  15. McMahon, P.D., Gland, E.D., and Walker, J.S. (1988) ‘Renormalization group theory in solution thermodynamics’, Chem. Eng. Sci. 43, 2561–2586.

    Article  CAS  Google Scholar 

  16. Claro, F. and Kumar, V. (1982). ‘Phase diagrams for a square lattice with two-and three-body interactions’, Surf. Sci. 119, L371–377.

    Article  CAS  Google Scholar 

  17. Nagai, K. (1984) ‘Phase diagram of hydrogen adsorbed on Ni(111)’, Surf. Sci. 136, L14–18.

    Article  CAS  Google Scholar 

  18. Tarasenko, A.A. and Chumak, A.A. (1989) ‘Position-space renormalization-group study of diffusion in a 2D lattice gas’, Poverkhnost No 11, 98–104; (1991) ‘Diffusion of adsorbed atoms on a triangular lattice’, Poverkhnost No 3, 37-44 (in Russian).

    Google Scholar 

  19. Binder, K. (1979), in Monte Carlo Methods in Statistical Physics, ed. Binder, K. Springer, Berlin.

    Chapter  Google Scholar 

  20. Lombardo, S.J., and Bell, A.T. (1991) ‘A review of theoretical models of adsorption, diffusion, desorption, and reaction of gases on metal surfaces’, Surf. Sci. Rep. 13, 1–72.

    Article  CAS  Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Zhdanov, V.P. (1993). Chemical Reactivity as a Function of Coverage. In: Joyner, R.W., van Santen, R.A. (eds) Elementary Reaction Steps in Heterogeneous Catalysis. NATO ASI Series, vol 398. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1693-0_22

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  • DOI: https://doi.org/10.1007/978-94-011-1693-0_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4741-8

  • Online ISBN: 978-94-011-1693-0

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