Skip to main content
Log in

Microheterogeneous systems and the phase rule

  • Chemical Thermodynamics and Thermochemistry
  • Published:
Russian Journal of Physical Chemistry A Aims and scope Submit manuscript

Abstract

The correctness of using the macroscopic Gibbs phase rule in microheterogeneous systems is considered. Results from using molecular theory are discussed for a single-component substance in describing delamination and fusion on open surfaces and in the pores of a solid, along with the interfaces between three states of a substance in the bulk phase. It is established that the form of adsorption system phase diagrams is determined by the surface potential, depending on the composition and structure of heterogeneous surfaces, and is characterized by multiple first-order phase transitions. It is concluded that the thermodynamic approach to heterogeneous systems makes any microscale description of the real interface distribution of molecules less accurate, and all quasithermodynamic theories are insufficiently precise for describing small systems (adsorption systems and interfaces).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. W. Gibbs, Elementary Principles of Statistical Mechanics (Ox Bow Press, 1981; Nauka, Moscow, 1982).

    Google Scholar 

  2. I. P. Bazarov, Thermodynamics (Mosk. Gos. Univ., Moscow, 1991) [in Russian].

    Google Scholar 

  3. A. V. Storonkin, Thermodynamics of Heterogeneous Systems (Leningr. Univ., Leningrad, 1968), Vol. 1 [in Russian].

    Google Scholar 

  4. A. I. Rusanov, Phase Equilibria and Surface Phenomena (Khimiya, Leningrad, 1967) [in Russian].

    Google Scholar 

  5. Yu. K. Tovbin, Theory of Physicochemical Processes at the Gas-Solid Interface (Nauka, Moscow, 1990) [in Russian].

    Google Scholar 

  6. Yu. K. Tovbin, Theory of Adsorption in Porous Bodies (Fizmatlit, Moscow, 2012) [in Russian].

    Google Scholar 

  7. Yu. K. Tovbin, Russ. J. Phys. Chem. A 82, 1554 (2006).

    Google Scholar 

  8. N. N. Bogolyubov, The Quasi-Averages in Problems of Statistical Mechanics (OIYaI, Dubna, 1963) [in Russian].

    Google Scholar 

  9. I. P. Bazarov, Statistical Theory of the Crystalline State (Mosk. Gos. Univ., Moscow, 1972) [in Russian].

    Google Scholar 

  10. Yu. K. Tovbin, Zh. Fiz. Khim. 69, 118 (1995).

    CAS  Google Scholar 

  11. Yu. K. Tovbin, A. B. Rabinovich, and E. V. Votyakov, Russ. Chem. Bull. 51, 1667 (2002).

    Article  CAS  Google Scholar 

  12. Yu. K. Tovbin and A. B. Rabinovich, Langmuir 20, 6041 (2004).

    Article  CAS  Google Scholar 

  13. Yu. K. Tovbin, Russ. J. Phys. Chem. A 84, 705 (2010).

    Article  CAS  Google Scholar 

  14. Yu. K. Tovbin, Russ. J. Phys. Chem. A 84, 1717 (2010).

    Article  CAS  Google Scholar 

  15. Yu. K. Tovbin, Russ. J. Phys. Chem. A 86, 1356 (2012).

    Article  CAS  Google Scholar 

  16. Yu. K. Tovbin and A. B. Rabinovich, Russ. Chem. Bull. 59, 677 (2010).

    Article  CAS  Google Scholar 

  17. J. P. K. Doye and F. Calvo, J. Chem. Phys. 116, 8307 (2002).

    Article  CAS  Google Scholar 

  18. A. R. Ubbelopde, The Molten State of Matter (Wiley, New York 1978; Metallurgiya, Moscow, 1982).

    Google Scholar 

  19. Yu. K. Tovbin, Russ. J. Phys. Chem. A 83, 1643 (2009).

    Article  CAS  Google Scholar 

  20. Yu. K. Tovbin and D. V. Yeremich, Russ. Chem. Bull. 52, 2334 (2003).

    Article  CAS  Google Scholar 

  21. Yu. K. Tovbin, Russ. J. Phys. Chem. A 82, 1611 (2008).

    Article  CAS  Google Scholar 

  22. Yu. K. Tovbin and E. V. Votyakov, Russ. Chem. Bull. 50, 50 (2001).

    Article  CAS  Google Scholar 

  23. R. Defay and I. Prigogine, Tension superficielle et adsorption (Liege, 1951).

    Google Scholar 

  24. J. D. van der Waals and F. Constamm, Course of Thermostatics (Johann Ambrosius Barth, Leipzig, 1927; ONTI, Moscow, 1936), Chs. 1, 2.

    Google Scholar 

  25. G. Bakker, Kapillarität und Oberflächenspannung, Handb. D. Exp. Phys. B. VI (Harms Leipzig, Wien, 1928)

    Google Scholar 

  26. J. E. Verschaffelt, Acad. R. Belgique. Bull. Classe Sci. 22, 373 (1936).

    CAS  Google Scholar 

  27. S. Ono and S. Kondo, Molecular Theory of Surface Tension in Liquids (Springer, Berlin, 1960; Inostr. Liter., Moscow, 1963).

    Google Scholar 

  28. J. Rowlinson and B. Widom, Molecular Theory of Capillarity (Oxford Univ., Oxford, UK, 1978).

    Google Scholar 

  29. J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).

    Article  CAS  Google Scholar 

  30. A. I. Rusanov, Phase Equilibria and Surface Phenomena (Khimiya, Leningrad, 1967) [in Russian].

    Google Scholar 

  31. T. D. Lee and C. N. Yang, Phys. Rev. 87, 410 (1952).

    Article  CAS  Google Scholar 

  32. K. Huang, Statistical Mechanics (Wiley, New York, 1987; Mir, Moscow, 1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. K. Tovbin.

Additional information

Original Russian Text © Yu.K. Tovbin, 2013, published in Zhurnal Fizicheskoi Khimii, 2013, Vol. 87, No. 6, pp. 928–936.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tovbin, Y.K. Microheterogeneous systems and the phase rule. Russ. J. Phys. Chem. 87, 906–914 (2013). https://doi.org/10.1134/S0036024413060290

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0036024413060290

Keywords

Navigation