Skip to main content
Log in

Energy transfer from paramagnetic ions to a lattice through rapidly relaxing centers

  • Published:
Soviet Physics Journal Aims and scope

Abstract

Spin-lattice relaxation is analyzed in a crystal containing two types of paramagnetic centers having approximately equal resonant frequencies but markedly different spin-phonon couplings. It is assumed that for the centers having the strong spin-phonon coupling this coupling is stronger than the spin-spin coupling with other paramagnetic centers. The Green's function method is used. The spin-lattice relaxation time for the centers coupled weakly with the lattice through rapidly relaxing centers is found as a function of the difference between the splittings of their spin levels, the strength of the spin-spin coupling between these centers, the concentrations of these centers, and the strength of the spin-phonon coupling over rapidly relaxing centers.

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. J. H. Van Vleck, in: Quantum Electronics, C. H. Townes (editor), Columbia Univ. Press, New York (1960), p. 392.

    Google Scholar 

  2. J. C. Gill and R. J. Elliott, in: Advances in Quantum Electronics, J. R. Singer (editor), Columbia Univ. Press, New York-London (1960), p. 392.

    Google Scholar 

  3. S. A. Al'tshuler and V. A. Skrebnev, Fiz. Tverd. Tela,9, 498 (1967).

    Google Scholar 

  4. S. V. Tyablikov, Methods of the Quantum Theory of Magnetism [in Russian], Izd. Nauka (1965).

  5. E. N. Emel'yanova, N. V. Karlov, A. A. Manenkov, V. A. Milyaev, A. M. Prokhorov, S. P. Smirnov, and A. V. Shirkov, Zh. Éksp. Teor. Fiz.,44, 868 (1963).

    Google Scholar 

  6. R. S. Rubins, Proc. Phys. Soc.,80, 244 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya VUZ. Fizika, No. 3, pp. 15–20, March, 1970.

In conclusion the author thanks S. A. Al'tshuler and L. K. Aminov for useful discussions of these results.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Skrebnev, V.A. Energy transfer from paramagnetic ions to a lattice through rapidly relaxing centers. Soviet Physics Journal 13, 289–293 (1970). https://doi.org/10.1007/BF00818311

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00818311

Keywords

Navigation