Adsorption

, Volume 11, Issue 3–4, pp 245–257 | Cite as

Self-Diffusion Coefficients for Pure and Mixed Adsorbate Fluids in Narrow Pores

Article

Abstract

The equilibrium distribution and the concentration dependence of the local and average self-diffusion coefficients for pure fluid and binary mixture components in narrow slitlike pores were analyzed. The coefficients were calculated using the lattice gas model in the quasi-chemical approximation on the assumption of a spherical shape and approximately equal sizes of the components. For the pure adsorbate, these calculations were compared with molecular dynamics simulations. Both methods gave similar concentration profile changes and dynamic characteristics of interlayer particle redistributions in strong nonuniform adsorption fields for dense fluids. A satisfactory agreement was obtained for the temperature dependences of the self-diffusion coefficients along the pore axis. The influence of the molecule–wall potential and of intermolecular interaction were considered. The self-diffusion coefficients of the adsorbate were shown to strongly depend on the density of the mixture and the distance from pore walls.

Keywords

isotherms coefficient of self-diffusion argon krypton mixture carbon slitlike pore 
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References

  1. Akhmatskaya, E., B.D. Todd, P.J. Davis, D.J. Evans, K.E. Gubbins, and L.A.Pozhar, J. Chem.Phys., 106, 4684–4695 (1997).CrossRefGoogle Scholar
  2. Barker, J.A. and D. Henderson, Rev. Mod. Phys., 48, 587–671 (1976).CrossRefGoogle Scholar
  3. Batalin, O.Yu., Yu.K. Tovbin and V.K. Fedyanin, Russ. J. Phys. Chem., 53, 3020–3025 (1980).Google Scholar
  4. Berlin, A.A., M.A. Mazo, N.K. Balabaev, and Yu.K. Tovbin, “Single-Component and Two-Component Mixtures in Slit-Like Pores: Molecular Dynamics Simulation”, K. Kaneko, H. Kanoh and Y. Hanzawa (Eds.), Fundamentals of Adsorption - 7, IK International, Ltd.,Chiba-City, 2002 pp. 402–409.Google Scholar
  5. Dubinin M.M. and V.V. Serpinskii (Eds.), Adsorption in Micropores, Nauka, Moscow, pp. 114 –170 1983.Google Scholar
  6. Gelb, L.D., K.E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, Rep. Prog.Phys., 62, 1573–1659 (1999).CrossRefGoogle Scholar
  7. Glasstone, S., K.J. Laidler, and H. Eyring, The Theory of Rate Processes., McGraw-Hill,New York, 1941.Google Scholar
  8. Hill, T.L., Statistical Mechanics. Principles and Selected Applications. McGraw-Hill Book Comp. Inc., New York, 1956.Google Scholar
  9. Hirschfelder, J.O., C.F. Curtiss and R.B. Bird, Molecular Theory of Gases and Liquids.,Wiley, New York, 1954.Google Scholar
  10. Karger, J., Adsorption, 9, 29–35 (2003)Google Scholar
  11. Kheifets, L.I. and A.V. Neimark, Multiphase Processes in Porous Media, Khimiya, Moscow,1982.Google Scholar
  12. MacElroy J.M.D., J. Chem. Phys., 101, 5274–5284 (1994).Google Scholar
  13. Mason, E.A. and A.P. Malinauskas, Gas Transport in Porous Media: The Dusty-Gas Model,Elsevier, Amsterdam, 1983.Google Scholar
  14. Mazo, M.A., A.B. Rabinovich, and Yu.K. Tovbin, Russ. J. Phys. Chem., 77, 1848–1854(2003).Google Scholar
  15. Prigogine, I., The Molecular Theory of Solutions, North-Holland, Amsterdam, 1957.Google Scholar
  16. Ruthven, D.M., Principles of Adsorption and Adsorption Processes. Wiley, New York, 1984.Google Scholar
  17. Satterfield C.N., Mass Transfer in Heterogeneous Catalysis, Reinhold, New York, 1970.Google Scholar
  18. Smirnova, N.A., Molecular Theory of Solutions, Khimiya, Leningrad, 1987.Google Scholar
  19. Sokolowski, S. and J. Fischer, Molecular Phys., 71, 393–412 (1990).Google Scholar
  20. Steele, W.A., The Interactions of Gases with Solid Surfaces Pergamon, New York, 1974.Google Scholar
  21. Timofeev, D. P. Kinetics of Adsorption., Nauka, Moscow, 1962.Google Scholar
  22. Todd, B.D. and D.J. Evans, J. Chem. Phys., 103, 9804–9809 (1995).Google Scholar
  23. Tovbin, Yu.K., Dokl. Akad. Nauk SSSR, 277, 917–921 (1984).Google Scholar
  24. Tovbin, Yu.K., Doklady Akad. Nauk. SSSR, 312, 1423–1427 (1990a).Google Scholar
  25. Tovbin, Yu.K., Progress in Surface Sci., 34, 1–236 (1990b).Google Scholar
  26. Tovbin, Yu.K., Theory of Physical Chemistry Processes at a Gas–Solid Interface, CRCPress, Boca Raton, Florida, 1991.Google Scholar
  27. Tovbin, Yu.K. and E.V.Votyakov, Langmuir, 9, 2652–2660 (1993).CrossRefGoogle Scholar
  28. Tovbin, Yu.K., “Application of lattice-gas model to describe mixed-gas adsorptionequilibria”, in W.Rudzinski, W.A. Steele, and G. Zgrablich (Eds.), Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Elsevier, Amsterdam, pp. 105–152 1996.Google Scholar
  29. Tovbin, Yu.K., “Sorption in porous systems”, in “Molecular Dynamics “Method in Physical Chemistry”, Nauka, Moscow, pp. 128–178 1997a.Google Scholar
  30. Tovbin, Yu.K., Russ. Chem. Bull., 46, 458–463 (1997b).Google Scholar
  31. Tovbin, Yu.K., Chem. Phys. Reports, 17, 1209-1222 (1998a).Google Scholar
  32. Tovbin, Yu.K. and E.V. Votyakov, Russ. J. Phys. Chem., 72, 1885–1890 (1998b).Google Scholar
  33. Tovbin, Yu.K., M.M. Senyavin, and L.K. Zhidkova, Russ. J. Phys. Chem., 73, 245–253(1999a).Google Scholar
  34. Tovbin, Yu.K., Russ. Chem. Bull., 48, 1467–1478 (1999b).Google Scholar
  35. Tovbin, Yu.K., V.N. Komarov, and N.F. Vasyutkin, Russ. J. Phys. Chem., 73, 500–506(1999c).Google Scholar
  36. Tovbin, Yu.K. and N.F. Vasyutkin, Russ. Chem. Bull., 50, 1496–1501(2001a).Google Scholar
  37. Tovbin, Yu.K. and E.V. Votyakov, Russ. Chem. Bull., 50, 48–56 (2001b).Google Scholar
  38. Tovbin, Yu.K., L.K. Zhidkova, and V.K. Komarov, Russ. Chem. Bull., 50, 752–758(2001c).Google Scholar
  39. Tovbin, Yu.K., “Volume filling of pores and a classification of porous systems” in Proceedings of Conference Dedicated to the 100th Anniversary of M. M. Dubinin, Inst. Fiz. Khim. Russ. Akad. Nauk, Moscow, pp. 27–32 2001d.Google Scholar
  40. Tovbin, Yu.K. and N.F. Vasyutkin, Russ. J. Phys. Chem., 76, 319–324 (2002a).Google Scholar
  41. Tovbin, Yu.K., A. B. Rabinovich, and E.V. Votyakov, Russ. Chem. Bull., 51, 1531–1538 (2002b).Google Scholar
  42. Tovbin, Yu.K. and V.N. Komarov, Russ. Chem. Bull., 51, 1871–1880 (2002c).Google Scholar
  43. Tovbin, Yu.K., E.E. Gvozdeva, and D.V. Yeremich, Russ. J. Phys. Chem., 77, 878–883 (2003a).Google Scholar
  44. Tovbin, Yu.K., Russ. J. Phys. Chem., 77, 2134–2138 (2003b).Google Scholar
  45. Tovbin, Yu.K., A.B. Rabinovich, and D.V. Yeremich, Russ. J. Phys. Chem., 78, 425–432 (2004).Google Scholar
  46. Vartapetyan, R.Sh., A.M. Voloshchuk and I. Kerger, “Translational mobility of moleculesadsorbed in carbon adsorbents”, N.S. Polyakov (Ed.), in Proceedings of the VII International Conference” Theory and Practice of Adsorption Processes, pp. 63–68, Inst. Fiz.Khim. Ross. Akad. Nauk, Moscow, 1997.Google Scholar
  47. Vishnyakov, A., E.M. Piotrovskaya, E.N. Brodskaya, et al., Russ. J. Phys. Chem., 74, 221–226 (2000).Google Scholar
  48. Votyakov, E.V., Yu. K. Tovbin, J. M. D. MacElroy, and A. Roche, Langmuir, 15,5713–5721 (1999).Google Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Karpov Research Institute of Physical ChemistryMoscowRussia

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