Skip to main content
SpringerLink
Log in

Selected formulas for the magnetic susceptibility of systems with 4f-ions

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Basic formula for the magnetic susceptibility of systems with 4f-ions within the LS-coupling scheme is introduced. The high temperature behaviour of thermodynamic average values is considered and the result is used for a high temperature expansion of the magnetic susceptibility. The results in the whole temperature range are given for systems described by one-particle Hamiltonians and effective one-particle Hamiltonians are considered. Explicit formulas are given for the case of a crystal field Hamiltonian and Heisenberg interaction Hamiltonian including molecular field approximation.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wang Y.L. and Cooper B.R.: Phys. Rev. B2 (1970) 2607.

    Google Scholar 

  2. Bowden G.J., Bunbury D.St.P., and McCausland M.A.H.: J. Phys. C: Solid State Phys.4 (1971) 1840.

    Google Scholar 

  3. Boutron P.: Phys. Rev. B7 (1973) 3226.

    Google Scholar 

  4. Nowotny H. and Zajac Š.: Physica130 B (1985) 228.

    Google Scholar 

  5. Kimura I., Kitano H., Shimkawa M. and Hashimoto Y.: Bull. Fukuoka Univ. Education,34 (1985), Part III, 27.

    Google Scholar 

  6. Chakravarty A.S.: Introduction to the Magnetic Properties of Solids, John Wiley & Sons, New York, 1980, p. 470.

    Google Scholar 

  7. Messiah A.: Quantum Mechanics, Vol. I, North-Holland Publishing Company, Amsterdam, 1961, p. 339.

    Google Scholar 

  8. Hutchings M.T.:in Solid State Physics, Vol. 16 (ed. Seitz F. and Turnball D.). Academic Press, New York, 1966, p. 227.

    Google Scholar 

  9. Ambler E., Eisenstein J.C. and Schooley J.F.: J. Math. Phys.3 (1962) 118.

    Google Scholar 

  10. Zajac Š. and Maczák Š.: Acta Phys. Slov.35 (1985) 312.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Technical University Vienna, Wiedner Hauptstraße 8-10/136, A-1040, Vienna, Austria

    H. Nowotny

  2. Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116, Praha 2, Czech Republic

    Š. Zajac

Authors
  1. H. Nowotny
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Š. Zajac
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The authors are thankful to professor K. W. H. Stevens from the University of Nottingham for the valuable comments to the manuscript.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nowotny, H., Zajac, Š. Selected formulas for the magnetic susceptibility of systems with 4f-ions. Czech J Phys 46, 381–396 (1996). https://doi.org/10.1007/BF01691696

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01691696

Keywords

Search

Navigation