Theoretica chimica acta

, Volume 67, Issue 2, pp 157–174 | Cite as

A group theoretical study of f n systems in an environment of approximately icosahedral symmetry

  • R. M. Golding
  • R. O. Pascual
  • I. C. Hoare


Group theoretical methods are developed to determine in a generalised format for an f n ion in a crystal field environment of icosahedral symmetry, the effect on the energy level scheme when a crystal field distortion is considered parallel to any direction. As an illustration, the effect on the g-tensor components are examined as a function of the magnitude and the direction of the crystal field distortion. All appropriate reduced matrix elements in group theoretical terminology are evaluated for the f n -ion ground states. Specific results are given for the f3-ion case and compared with electron paramagnetic resonance, optical, and magnetic susceptibility data.

Key words

fn-systems icosahedral symmetry g-tensors generalised crystal field distortions e.p.r. 


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • R. M. Golding
    • 1
  • R. O. Pascual
    • 1
  • I. C. Hoare
    • 2
  1. 1.University of New South WalesKensingtonAustralia
  2. 2.CSIRO, Division of Energy ChemistryLucas Heights Research LaboratoriesSutherlandAustralia

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