Skip to main content
Log in

Theory of bivacancy contribution to the coefficient of self-diffusion in monatomic molecular crystals

  • Published:
Journal of engineering physics Aims and scope

Abstract

On the basis of the statistical theory of a crystal with defects, we calculate the frequency of jumps of an atom for diffusion in the bivacancy mechanism. We obtain an expression for the contributions of different types of bivacancies to the coefficient of self-diffusion. Calculations are carried out for the special case of a Lennard-Jones 6–12 potential.

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

Literature cited

  1. B. S. Bokshtein, S. Z. Bokshtein, and A. A. Zhukhovitskii, Thermodynamics and Kinetics of Diffusion in Solids [in Russian], Moscow (1974).

  2. S. Chandrasekhar, Stochastic Problems in Physics and Astronomy [Russian translation], Moscow (1947).

  3. H. R. Glyde, Rev. Mod. Phys.,39, No. 2, 373–382 (1967).

    Google Scholar 

  4. É. T. Bruk-Levinson and O. D. Chernetsov, Inzh.-Fiz. Zh.,48, No. 5, 823–831 (1985).

    Google Scholar 

  5. E. T. Bruk-Levinson and O. D. Chernetsov, “Statistical theory of the interaction of point defects in equilibrium crystals: the structure of defects of self-diffusion,” [in Russian] (Preprint/ITMO, Academy of Sciences of the BSSR, No. 21), Minsk (1984).

  6. É. T. Bruk-Levinson and O. D. Chernetsov, Fiz. Niz. Temp.1,10, No. 5, 576–584 (1984).

    Google Scholar 

  7. L. A. Rott, Statistical Theory of Molecular Systems [in Russian], Moscow (1979).

  8. E. T. Brook-Levinson and O. D. Chernetsov, Phys. Lett.,91A, No. 4, 171–173 (1982).

    Google Scholar 

  9. E. T. Brook-Levinson and O. D. Chernetsov, Phys. Lett.,106A, No. 7, 305–308 (1984).

    Google Scholar 

  10. Yu. L. Klimontovich, Statistical Physics [in Russian], Moscow (1982).

  11. É. T. Bruk-Levinson and V. V. Belov, Dokl. Akad. Nauk BSSR,24, No. 9, 805–808 (1980).

    Google Scholar 

  12. É. T. Bruk-Levinson, Dokl. Akad. Nauk BSSR,25, No. 12, 514–517 (1981).

    Google Scholar 

  13. V. V. Belov and E. T. Brook-Levinson, Phys. Lett.,80A, No. 4, 314–316 (1980).

    Google Scholar 

  14. É. T. Bruk-Levinson and A. V. Zakharov, Dokl. Akad. Nauk BSSR,25, No. 6, 514–517 (1981).

    Google Scholar 

  15. M. V. Fedoryuk, Method of Steepest Descent [in Russian], Moscow (1977).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 51, No. 4, pp. 621–628, October, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bruk-Levinson, É.T., Chernetsov, O.D. Theory of bivacancy contribution to the coefficient of self-diffusion in monatomic molecular crystals. Journal of Engineering Physics 51, 1211–1217 (1986). https://doi.org/10.1007/BF00870849

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00870849

Keywords

Navigation