Physik der kondensierten Materie

, Volume 14, Issue 1, pp 7–14 | Cite as

Additional crystalline electric field potentials for heavy rare earth metals

  • J. M. Dixon
Article

Abstract

A derivation is given of additional crystalline potential energy terms due to the interaction of conduction electrons with the localised electrons of ions in pure heavy rare earth metals. Explicit expressions for theA40 andA60 coefficients are given to supplement those ofA20 andA66 given in a recent paper. Additional contributions which arise from the unfilledf shells of the neighbours of any particular ion under consideration, are derived but shown to be of such a magnitude that, for most purposes, they can be neglected. The use of Slater orbitals in calculating enhancement factors forA40 andA60 is discussed with particular reference to those contributions which involve resonance amplitudes and mainly involve thef orbitals.

Keywords

Neural Network Potential Energy Complex System Nonlinear Dynamics Explicit Expression 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Das, K. C., Ray, D. K.: Phys. Rev.187, 3, 777–780 (1969).CrossRefGoogle Scholar
  2. De Wette, F. W., Nijboer, B. R. A.: Physica24, 1105 (1958).CrossRefMathSciNetGoogle Scholar
  3. Dixon, J. M., Dupree, R.: I, II, in press, I.P.P.S. (J. Phys. F) (1971).Google Scholar
  4. Kasuya, T.: Magnetism II B, ed. G. T. Rado and H. Suhl. New York-London: Academic Press 1966.Google Scholar
  5. Sternheimer, R. M., Blume, M., Peierls, R. F.: Phys. Rev.173, 376 (1968).CrossRefADSGoogle Scholar
  6. Wybourne, B. G.: Spectroscopic Properties of Rare Earth. New York: John Wiley 1965.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • J. M. Dixon
    • 1
  1. 1.School of PhysicsUniversity of WarwickCoventryUK

Personalised recommendations