Crystal Electric Fields for Cubic Point Groups.

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  • Takegahara Katsuhiko
    Department of Materials Science and Technology, Hirosaki University, Hirosaki, Aomori 036-8561
  • Harima Hisatomo
    The Institute of Scientific and Industrial Research, Osaka University, Ibaraki, Osaka 567-0047
  • Yanase Akira
    The Institute of Scientific and Industrial Research, Osaka University, Ibaraki, Osaka 567-0047

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Crystal electric fields for the cubic point groups are reexamined and it is found that the new term O62-O66 is nonvanishing for the cubic point groups Th and T due to the lack of Umklappung and fourfold symmetry axis of the point group Oh. The eigenfunctions and eigenvalues of the crystal electric field for 4fn configurations are labeled by the irreducible representations of the point group Th. The degeneracy of each sublevel does not change as compared with those of the point group Oh, but some eigenfunctions and eigenvalues are affected by the new term. Thus inelastic neutron scattering spectra for T and Th are different from those for Oh due to different transition probabilities and selection rules.

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