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Modifications of Coulombic interactions by polarizable atoms

  • B. R. Judd (a1)

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.

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(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.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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