Russian Chemical Bulletin

, Volume 57, Issue 6, pp 1138–1150 | Cite as

Shape of the vapor—liquid interface in narrow slit-shaped pores

  • Yu. K. Tovbin
  • A. B. Rabinovich
Full Articles


The shape of the meniscus (vapor—liquid interface) and the transient region in narrow slit-shaped pores of different width were studied. The adsorbate was modeled by spherical particles, the interaction between them being described by the Lennard-Jones potential model. The calculation was carried out on the basis of the lattice-gas model in the quasichemical approximation for accounting the intermolecular interactions between the nearest neighbors. The greatest meniscus curvature was found for narrow pores. As the pore width increases, the meniscus curvature decreases. The effect of the surface potential on the meniscus shape in narrow pores was discussed.

Key words

adsorption vapor—liquid interface Kelvin equation slit-shaped pores lattice-gas model quasichemical approximation 


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  1. 1.
    M. E. Fisher, H. Nakanishi, J. Chem. Phys., 1981, 75, 5857.CrossRefGoogle Scholar
  2. 2.
    H. Nakanishi, M. E. Fisher, J. Chem. Phys., 1983, 78, 3279.CrossRefGoogle Scholar
  3. 3.
    P. Tarasona, U. M. B. Marconi, R. Evans, Mol. Phys., 1987, 60, 573.CrossRefGoogle Scholar
  4. 4.
    E. Bruno, U. M. B. Marconi, R. Evans, Physica A, 1987, 141, 187.CrossRefGoogle Scholar
  5. 5.
    A. de Kreizer, T. Michalski, G. H. Findenegg, Pure Appl. Chem., 1991, 63, 1495.CrossRefGoogle Scholar
  6. 6.
    Yu. K. Tovbin, E. Votyakov, Langmuir, 1993, 2652.Google Scholar
  7. 7.
    E. V. Votyakov, Yu. K. Tovbin, Zh. Fiz. Khim., 1994, 68, 287 [Russ. J. Phys. Chem., 1994, 68 (Engl. Transl.)].Google Scholar
  8. 8.
    Yu. K. Tovbin, E. V. Votyakov, Izv. Akad. Nauk. Ser. Khim., 2001, 48 [Russ. Chem. Bull., Int. Ed., 2001, 50, 50].Google Scholar
  9. 9.
    D. H. Everett, in The Solid-Gas Interface, Ed. E. A. Hood, Dekker, New York, 1967, 1055 p.Google Scholar
  10. 10.
    S. J. Gregg, K. G. W. Sing, Adsorption, Surface Area, and Porosity, Academic Press, London, 1982.Google Scholar
  11. 11.
    T. G. Plachenov, S. D. Kolosentsev, Porometriya [Porometry], Khimiya, Leningrad, 1988, 175 pp. (in Russian).Google Scholar
  12. 12.
    A. P. Karnaukhov, Adsorption. Tekstura dispersnykh poristykh materialov [Adsorption. Texture of Dispersion Porous Materials], Nauka, IK SO RAN, Novosibirk, 1999, 469 pp. (in Russian).Google Scholar
  13. 13.
    Eksperimental’nye metody v adsorbtsii i molekulyarnoi khromatografii [Experimental Methods in Adsorption and Molecular Chromatography], Eds A. V. Kiselev, V. P. Dreving, Izd. MGU, Moscow, 1973, 447 pp. (in Russian).Google Scholar
  14. 14.
    B. V. Deryagin, Zhurn. Fiz. Khim. [J. Phys. Chem.] 1940, 14, 157 (in Russian).Google Scholar
  15. 15.
    L. R. White, J. Chem. Soc., Farad. Trans. 1, 1977, 73, 390.CrossRefGoogle Scholar
  16. 16.
    D. P. Timofeev, Kinetika adsorbtsii [Adsorption Kinetics], Izd. Akad. Nauk. SSSR, Moscow, 1962, 252 pp. (in Russian).Google Scholar
  17. 17.
    P. C. Carman, Flow of Gases Through Porous Media, Butterworth, London, 1952.Google Scholar
  18. 18.
    D. M. Ruthven, Principles of Adsorption and Adsorption Processes, Jonh Wiley, New York, 1984.Google Scholar
  19. 19.
    A. V. Lykov, Teplomassoobmen [Heat and Mass Exchange], Energiya, Moscow, 1978, 480 pp. (in Russian).Google Scholar
  20. 20.
    R. Evans, J. Phys.: Condens. Matter., 1990, 46, 8989.CrossRefGoogle Scholar
  21. 21.
    A. Neimark, I. Ravikovitch, A. Vishnyakov, Phys. Rev. E, 2000, 62, 2.CrossRefGoogle Scholar
  22. 22.
    Yu. K. Tovbin, A. G. Petukhov, Applied Surfaces Science, 2007, 253, 5671.CrossRefGoogle Scholar
  23. 23.
    Yu. K. Tovbin, T. V. Petrova, Zh. Fiz. Khim., 1995, 69, 127 [Russ. J. Phys. Chem., 1995, 69 (Engl. Transl.)].Google Scholar
  24. 24.
    R. Evans, U. M. B. Marconi, P. Tarazona, J. Chem. Phys., 1986, 84, 2376.CrossRefGoogle Scholar
  25. 25.
    Yu. K. Tovbin, Teoriya fiziko-khimicheskikh protsessov na granitse gaz—tverdoe telo [Theory of Physicochemical Processes at the Gas—Solid Interface], Nauka, Moscow, 1990, 288 pp. (in Russian).Google Scholar
  26. 26.
    T. L. Hill, Statistical Mechanics. Principles and Selected Applications, McGraw-Hill Book Comp. Inc., New York, 1956.Google Scholar
  27. 27.
    M. W. Maddox, J. Olivier, K. E. Gubbins, Langmuir, 1997, 13, 1737.CrossRefGoogle Scholar
  28. 28.
    A. Vishnyakov, A. Neimark, J. Phys. Chem. B, 2001, 105, 7009.CrossRefGoogle Scholar
  29. 29.
    K. Binder, D. Landau, J. Chem. Phys., 1992, 96, 1444.CrossRefGoogle Scholar
  30. 30.
    E. Votyakov, Yu. K. Tovbin, J. M. D. MacElroy, A. Roche, Langmuir, 1999, 15, 5713.CrossRefGoogle Scholar
  31. 31.
    Yu. K. Tovbin, A. B. Rabinovich, E. V. Votyakov, Izv. Akad. Nauk., Ser. Khim., 2002, 1531 [Russ. Chem. Bull., Int. Ed., 2002, 51, 1667].Google Scholar
  32. 32.
    Yu. K. Tovbin, D. V. Eremich, V. N. Komarov, E. E. Gvozdeva, Khimich. Fiz., 2007, 26, 98 [Chem. Phys., 2007, 26 (Engl. Transl.)].Google Scholar
  33. 33.
    Yu. K. Tovbin, E. V. Votyakov, Izv. Akad. Nauk. Ser. Khim., 2000, 605 [Russ. Chem. Bull., Int. Ed., 2000, 49, 609].Google Scholar
  34. 34.
    N. N. Avgul’, A. V. Kiselev, D. P. Poshkus, Adsorbtsiya gazov i parov na odnorodnykh poverkhnostyakh [Adsorption of Gases and Vapors on Uniform Surfaces], Khimiya, Moscow, 1975, 384 pp. (in Russian).Google Scholar
  35. 35.
    W. A. Steele, The Interactions of Gases with Solid Surfaces, Pergamon, New York, 1974.Google Scholar
  36. 36.
    Yu. K. Tovbin, Zh. Fiz. Khim., 1995, 69, 118 [Russ. J. Phys. Chem., 1995, 69 (Engl. Transl.)].Google Scholar
  37. 37.
    Yu. K. Tovbin, Zh. Fiz. Khim., 1992, 66, 1395 [Russ. J. Phys. Chem., 1992, 66 (Engl. Transl.)].Google Scholar
  38. 38.
    J. W. Cahn, J. E. Hilliard, J. Phys. Chem., 1958, 28, 258.CrossRefGoogle Scholar
  39. 39.
    B. V. Deryagin, N. V. Churaev, V. M. Muller, Poverkhnostnye sily [Surface Forces], Nauka, Moscow, 1985, 400 pp. (in Russian).Google Scholar

Copyright information

© Springer Science+Business Media, Inc.  2008

Authors and Affiliations

  1. 1.L. Ya. Karpov Institute of Physical ChemistryMoscowRussian Federation

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