The Quadratic p3 ⊗ h Jahn–Teller System as a Model for the C603− Anion

  • Andrew J. Lakin
  • Ian D. Hands
  • Colin A. Bates
  • Janette L. Dunn
Chapter
Part of the Progress in Theoretical Chemistry and Physics book series (PTCP, volume 23)

Abstract

The fullerene trianion, C60 3−, and the compounds associated with it are known to have properties that differ significantly from the other fullerene ions. For example, compounds of the form A3C60 (where A is an alkali metal) which contain this ion, are known to be superconductors up to around 40K, whereas the alkali metal fullerenes containing C60 2− and C60 4− are found to be insulators, properties often attributed to the Jahn–Teller effect. In spite of this, little work has been undertaken analysing the Jahn–Teller effect in the trianion. In this work, the symmetry reduction caused by this effect is investigated by introducing quadratic terms into the Hamiltonian to model the Jahn–Teller interaction. It is found that, unlike the previously investigated ions of C60, an electronic degeneracy remains if the molecular distortion were to be described by either the D 3d or D 5d point groups. Thus, a further reduction in symmetry is expected, and it is found that the distorted molecule is actually described by either the C 2h or D 2h group. A distortion of C 2h symmetry in a fullerene molecule has previously undergone little analysis, and so it is this that is then investigated by considering a set of distortional axes relating to the minimum energy wells formed under a quadratic interaction.

Keywords

High Occupied Molecular Orbital Lower Unoccupied Molecular Orbital Distortional Axis Symmetry Reduction Quadratic Interaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Andrew J. Lakin
    • 1
  • Ian D. Hands
    • 1
  • Colin A. Bates
  • Janette L. Dunn
    • 1
  1. 1.School of Physics and AstronomyUniversity of NottinghamNottinghamUK

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