Advertisement

Pramana

, 93:7 | Cite as

Statistical distribution of adsorption of quantum particles

  • S B KhasareEmail author
  • Shashank S Khasare
Article
  • 39 Downloads

Abstract

There is a need to compute and work out the theoretical relationship between the single fermion cell and single fermion particle and the single boson cell and more than one boson particle in the assumed processes for developing the theory of adsorption, simply by maximising the entropy of the system for both types of particles. In this work, the reduction of the general expression of adsorption to the special case of the Langmuir adsorption isotherm and closely related family of curves or types of adsorption isotherms in dimensionless form have been derived using statistical mechanics for an adsorbate. The classification of the laboratory data, for adsorption distribution concept, power of generalised method in terms of nonlinear parameter least square fits by selecting different sets of derived functional form one by one is demonstrated.

Keywords

Mixture of Bose and Fermi particles Langmuir films surface thermodynamics 

PACS Nos

68.43.De 05.30.−d 05.70.Np 67.85.Pq 

References

  1. 1.
    S B Khasare and S S Khasare, Pramana – J. Phys. 90(3): 32 (2018)Google Scholar
  2. 2.
    R I Masel, Principles of adsorption and reaction on solid surface (Wiley Interscience, 1996) p. 242, ISBN 0-471-30392-5Google Scholar
  3. 3.
    C T Chiou, Partition and adsorption of organic contaminants in environmental system (John Wiley and Sons, Inc., 2002) pp. 39–52, ISBN 0-471-23325-0Google Scholar
  4. 4.
    M A Volmer and P Mahnert, Z. Phys. Chem. 115, 253 (1925)Google Scholar
  5. 5.
    F D M Haldane, Phys. Rev. Lett. 67, 937 (1991)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    I Langmuir, J. Am. Chem. Soc. 38, 2221 (1916)CrossRefGoogle Scholar
  7. 7.
    H Freundlich, Trans. Faraday Soc. 28, 195 (1932)CrossRefGoogle Scholar
  8. 8.
    M I Temkin, Zh. Fiz. Chim. 15, 296 (1941)Google Scholar
  9. 9.
    A V Kiselev, Kolloid. Zhur. 20, 338 (1958)Google Scholar
  10. 10.
    S J Elovich, Proceedings of the Second International Congress on Surface Activity edited by J H Schulman (Academic Press, Inc., New York, 1959) Vol. 11, p. 253Google Scholar
  11. 11.
    R H Fowler and E A Guggenheim, Statistical thermodynamics (Cambridge University Press, London, 1939)zbMATHGoogle Scholar
  12. 12.
    T L Hill, J. Chem. Phys. 14, 441 (1946)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of PhysicsScience CollegeNagpurIndia
  2. 2.Department of Computer ScienceIndian Institute of TechnologyDelhiIndia

Personalised recommendations