Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 6
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    2000. The Effective Crystal Field Potential.

    Siu, G. G. 1990. Quadratic crystal field contributions to the ground S-state splitting of Gd3+. The Journal of Chemical Physics, Vol. 92, Issue. 1, p. 97.

    Yeung, Y Y 1988. Local distortion and zero-field splittings of 3d5 ions in oxide crystals. Journal of Physics C: Solid State Physics, Vol. 21, Issue. 13, p. 2453.

    Siclen, C de W Van 1982. Term-dependent contributions to crystal-field splittings by polarisable ligands. Journal of Physics C: Solid State Physics, Vol. 15, Issue. 19, p. 4117.

    Siu, G G and Newman, D J 1982. Contributions to the ground state splitting of S-state ions. I. The8S7/2state of Gd3+. Journal of Physics C: Solid State Physics, Vol. 15, Issue. 33, p. 6753.

    Newman, D J 1977. Parametrisation of crystal induced correlation between f-electrons. Journal of Physics C: Solid State Physics, Vol. 10, Issue. 23, p. 4753.

  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 80, Issue 3
  • November 1976, pp. 535-539

Modifications of Coulombic interactions by polarizable atoms

  • B. R. Judd (a1)
  • DOI:
  • Published online: 24 October 2008

The analysis of the interactions between the electrons of different atoms is complicated by many effects. Unless the atoms are free and well separated, account has to be taken of covalency, overlap, exchange, and superexchange. But, although such effects are often important, it is sometimes useful to regard the electrons as being located on separate atoms. Two electrons, labelled 1 and 2, on respective atoms A and B, then interact principally through the Coulomb energy e2/r12. Neighbouring atoms L, M, N, …, which we suppose are spherically symmetric, make their presence felt by acting as polarizable spheres. The electric fields thereby produced modify the simple Coulombic expression for the energy of interaction of the two electrons. It is the purpose of this article to examine such modifications in detail.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

(1)J. M. Baker Interactions between ions with orbital angular momentum in insulators. Rep. Prog. Phys. 34 (1971), 109173.

(6)C. G. Gray On the theory of multipole interactions. Canad. J. Phys. 46 (1968), 135139.

(10)D. J. Newman Slater parameter shifts in substituted lanthanide ions. J. Phys. Chem. Solids 34 (1973), 541545.

(11)G. Racah Theory of complex spectra: II. Phys. Rev. 62 (1942), 438462.

(13)R. M. Sternheimer , M. Blume and R. F. Peirls Shielding of crystal fields at rare earth ions. Phys. Rev. 173 (1968), 376389.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *