Skip to main content
Log in

Variation of the coefficient of self-diffusion in a crystal caused by changes in the isotope composition

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

Variation of the parameters of self-diffusion in a crystal of simple substance caused by changes in the isotope composition have been theoretically studied in the regions of high and low temperatures. The results of numerical calculations performed for diamond and bcc lithium crystals are presented. It is shown that the isotope dependence of the self-diffusion coefficient D is weak at high temperatures but becomes substantial at low temperatures: at T = 0, the D value increases by an order of magnitude on the passage from 7Li to 6Li and decreases by three orders of magnitude on the passage from 12C to 13C. This isotope effect is related to the phenomena of quantum tunneling and zero-point oscillations of atoms in crystals at T = 0. The isotope dependence of the interatomic interaction potential significantly influences the self-diffusion coefficient only at high temperatures.

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. S. D. Gertsriken and I. Ya. Dekhtyar, Diffusion in Solid Phase of Metals and Alloys (GIFML, Moscow, 1960), pp. 118, 173 [in Russian].

    Google Scholar 

  2. J. R. Manning, Diffusion Kinetics for Atoms in Crystals (D. Van Nostrand, Toronto, 1968), Part 3.

    Google Scholar 

  3. B. S. Bokshtein, Diffusion in Metals (Metallurgiya, Moscow, 1978), pp. 32, 61, 105, 116, 117 [in Russian].

    Google Scholar 

  4. M. N. Magomedov, Pis’ma Zh. Tekh. Fiz. 31(9), 50 (2005) [Tech. Phys. Lett. 31, 381 (2005)].

    Google Scholar 

  5. V. G. Plekhanov, Usp. Fiz. Nauk 173, 711 (2003) [Phys. Usp. 46, 689 (2003)].

    Article  Google Scholar 

  6. M. N. Magomedov, Fiz. Met. Metalloved. 80(4), 36 (1995).

    Google Scholar 

  7. M. N. Magomedov, Fiz. Met. Metalloved., No. 10, 13 (1992).

  8. M. N. Magomedov, Teplofiz. Vys. Temp. 31, 731 (1993).

    Google Scholar 

  9. M. N. Magomedov, Rasplavy, No. 1, 59 (2005).

  10. M. N. Magomedov, Pis’ma Zh. Tekh. Fiz. 28(10), 64 (2002) [Tech. Phys. Lett. 28, 430 (2002)].

    Google Scholar 

  11. J. O. Hirschelder, Ch. F. Curtiss, and B. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).

    Google Scholar 

  12. E. A. Moelwyn-Hughes, Physical Chemistry (Pergamon, London, 1961).

    Google Scholar 

  13. M. N. Magomedov, Zh. Fiz. Khim. 62, 2103 (1988).

    Google Scholar 

  14. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976).

    Google Scholar 

  15. E. L. Gromnitskaya, O. V. Stal’gorova, and S. M. Stishov, Pis’ma Zh. Éksp. Teor. Fiz. 69, 36 (1999) [JETP Lett. 69, 38 (1999)].

    Google Scholar 

  16. A. F. Andreev and I. M. Lifshits, Zh. Éksp. Teor. Fiz. 56, 2057 (1969) [Sov. Phys. JETP 29, 1107 (1969)].

    Google Scholar 

  17. M. I. Shakhparonov, Introduction to the Modern Theory of Solutions (Vysshaya Shkola, Moscow, 1976) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © M.N. Magomedov, 2006, published in Pis’ma v Zhurnal Tekhnichesko012D; Fiziki, 2006, Vol. 32, No. 10, pp. 40–49.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Magomedov, M.N. Variation of the coefficient of self-diffusion in a crystal caused by changes in the isotope composition. Tech. Phys. Lett. 32, 434–438 (2006). https://doi.org/10.1134/S1063785006050191

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063785006050191

PACS numbers

Navigation