Effect of Adsorption on the State of Equilibrium Rough Surfaces at Interfaces

  • E. S. Zaitseva
  • E. E. Gvozdeva
  • A. B. Rabinovich
  • Yu. K. TovbinEmail author


The effect of adsorption on the characteristics of equilibrium rough surfaces of vapor–liquid and vapor–solid interfaces at a temperature close to the melting point is investigated. A discrete model of a dense phase—the lattice gas model, which includes direct correlations of all neighboring components of the system in a quasi-chemical approximation—is applied in the calculations. For simplicity, the model implies commensurability of the component size and the considered vibrations of particles through the effective contributions of the lateral interaction parameters for both adsorbent atoms and adsorbate molecules. The equilibrium profiles of adsorbent A and adsorbate B inside the transition area are calculated (provided that the adsorbent’s bulk phase remains unchanged) for physical adsorption and chemisorption. The effect of adsorption on the surface tension of the dense phase is examined. The probability of fluctuation processes of a new phase formation determined by the surface roughness of the pure adsorbent A, taking into account the adsorption of B particles on it, is estimated.


adsorption rough surface lattice gas model quasi-chemical approximation fluctuations 



The study was performed with the support of the Russian Foundation for Basic Research (project no. 18-03-00030а).


  1. 1.
    Trapnell, B.M.W., Chemisorption, New York: Academic, 1955.Google Scholar
  2. 2.
    Kiperman, S.L., Vvedenie v kinetiku geterogennykh kataliticheskikh reaktsii (Introduction into Kinetics of Heterogeneous Catalytic Reactions), Moscow: Nauka, 1964.Google Scholar
  3. 3.
    Vol’kenshtein, F.F., Fizikokhimiya poverkhnosti poluprovodnikov (Physical Chemistry of Semiconductor’s Surfaces), Moscow: Nauka, 1973.Google Scholar
  4. 4.
    Delmon, B., Introduction a la cinetique heterogene, Paris: Technip, 1969.Google Scholar
  5. 5.
    Rozovskii, A.Ya., Kinetika topokhimicheskikh reaktsii (Kinetics of Topochemical Reactions), Moscow: Khimiya, 1974.Google Scholar
  6. 6.
    Barret, P., Cinétique hétérogène, Paris: Gauthier-Villars, 1973.Google Scholar
  7. 7.
    Kiselev, V.F. and Krylov, O.V., Adsorbtsionnye protsessy na poverkhnosti poluprovodnikov i dielektrikov (Adsorptive Process on Semiconductor’s and Dielectric’s Surfaces), Moscow: Nauka, 1978.Google Scholar
  8. 8.
    Morrison, S.R., The Chemical Physics of Surfaces, New York: Plenum Press, 1977.CrossRefGoogle Scholar
  9. 9.
    Adamson, A.W., Physical Chemistry of Surfaces, New York: Wiley, 1975.Google Scholar
  10. 10.
    Roberts, M.W. and McKee, C.S., Chemistry of the Metal-Gas Interface, Oxford: Clarendon, 1978.Google Scholar
  11. 11.
    Somorjai, G.A., Chemistry in Two-Dimension Surface, Ithaca, NY: Cornell Univ. Press, 1981.Google Scholar
  12. 12.
    Benson, G.G. and Yun, K.S., in The Solid-Gas Interface, Flood, E.A., Ed., New York: Marcel Dekker, 1967.Google Scholar
  13. 13.
    Tovbin, Yu.K., Zaitseva, E.S., and Rabinovich, A.B., Russ. J. Phys. Chem. A, 2018, vol. 92, no. 3, p. 587.CrossRefGoogle Scholar
  14. 14.
    Ono, S. and Kondo, S., Molecular Theory of Surface Tension in Liquids, Berlin, Göttingen, Heidelberg: Springer, 1960.Google Scholar
  15. 15.
    Rowlinson, J.S. and Widom, B., Molecular Theory of Capillarity, Oxford: Clarendon, 1982.Google Scholar
  16. 16.
    Tovbin, Yu.K., Small Systems and Fundamentals of Thermodynamics, Boca Raton, FL: CRC Press, 2019.Google Scholar
  17. 17.
    Zaitseva, E.S. and Tovbin, Yu.K., Russ. J. Phys. Chem. A, 2018, vol. 92, no. 5, p. 1011.CrossRefGoogle Scholar
  18. 18.
    Zaitseva, E.S. and Tovbin, Yu.K., Prot. Met. Phys. Chem. Surf., 2018, vol. 54, no. 4, p. 557.CrossRefGoogle Scholar
  19. 19.
    Hill, T.L., Statistical Mechanics. Principles and Selected Applications, New York: McGraw–Hill, 1956.Google Scholar
  20. 20.
    Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., Molecular Theory of Gases and Liquids, New York: Wiley, 1954.Google Scholar
  21. 21.
    Tovbin, Yu.K., Theory of Physical Chemistry Processes at a Gas–Solid Surface Interface, Boca Raton, FL: CRC Press, 1991.Google Scholar
  22. 22.
    Tovbin, Yu.K., Molecular Theory of Adsorption in Porous Solids, Boca Raton, FL: CRC Press, 2017.CrossRefGoogle Scholar
  23. 23.
    Tovbin, Yu.K. and Rabinovich, A.B., Izv. Akad. Nauk, Ser. Khim., 2009, no. 11, p. 2127.Google Scholar
  24. 24.
    Tovbin, Yu.K., Rabinovich, A.B., and Gvozdeva, E.E., Russ. J. Phys. Chem. A, 2014, vol. 88, no. 10, p. 1809.CrossRefGoogle Scholar
  25. 25.
    Tovbin, Yu.K., Rabinovich, A.B., and Gvozdeva, E.E., Prot. Met. Phys. Chem. Surf., 2015, vol. 51, no. 1, p. 41.CrossRefGoogle Scholar
  26. 26.
    Tovbin, Yu.K., Zaitseva, E.S., and Rabinovich, A.B., Russ. J. Phys. Chem. A, 2016, vol. 90, no. 1, p. 205.CrossRefGoogle Scholar
  27. 27.
    Landau, L.D. and Lifshits, E.M., Course of Theoretical Physics, vol. 5: Statistical Physics, Oxford: Pergamon, 1969.Google Scholar
  28. 28.
    Tovbin, Yu.K., Eremich, D.V., Komarov, V.N., and Gvozdeva, E.E., Khim. Fiz., 2007, vol. 26, no. 9, p. 98.Google Scholar
  29. 29.
    Tovbin, Yu.K., Zaytseva, E.S., and Rabinovich, A.B., Russ. J. Phys. Chem. A, 2016, vol. 90, no. 6, p. 1248.CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • E. S. Zaitseva
    • 1
  • E. E. Gvozdeva
    • 1
  • A. B. Rabinovich
    • 1
  • Yu. K. Tovbin
    • 1
    Email author
  1. 1.Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of SciencesMoscowRussia

Personalised recommendations