Theoretica chimica acta

, Volume 48, Issue 2, pp 87–101 | Cite as

The Jahn-Teller effect in icosahedral molecules and complexes

  • V. P. Khlopin
  • V. Z. Polinger
  • I. B. Bersuker
Original Investigations


The adiabatic potential surface for icosahedral systems having three-, four- and five-fold degenerate orbital states interacting with five-fold degenerate vibrations (T-v,U-v andV-v problems) is investigated. It is shown that for theT-v andV-v Jahn-Teller cases the potential surface possesses respectively a two- or three-dimensional equipotential continuum of minima. For theU-v problem the potential surface contains 15 equivalent minima. The nature of the extremum points on the adiabatic potential surfaces is elucidated. In the linear approximation to theV-v problem in the minima points the lowest potential surface is double degenerate due to the accidental occurrence of axial symmetry.

Key words

Icosahedral molecules and complexes, Jahn-Teller effect in ∼ 


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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • V. P. Khlopin
    • 1
  • V. Z. Polinger
    • 1
  • I. B. Bersuker
    • 1
  1. 1.Department of Quantum Chemistry, Academy of SciencesMoldavian SSRKishinevUSSR

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