## Abstract

In a linearly coupled dihedral E ⊗ (β_{1} + β_{2}) Jahn-Teller system one finds two different q-factors (say, q_{1} and q_{2}) and a p-factor. For stronger β_{1}- than β_{2}-coupling, one obtains q_{1} > q_{2} and in the strong linear vibronic coupling limit, q_{1} → 0.5, q_{2} → 0. At all strengths, the historical relation "p = 2q - 1" turns into p = q_{1} + q_{2} - 1. A slowly rotating external field induces in the electronic wave-functions, upon a full turn, a Berry's phase equal to the solid angle subtended by the field's vector at the origin. We have calculated (by employing a quasi-classical approximation to solve the dynamic problem for the ground vibronic state) the corresponding phase change, now diminished by the vibronic reduction factors.

Original language | English |
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Pages (from-to) | 24-26 |

Number of pages | 3 |

Journal | Journal of Molecular Structure |

Volume | 838 |

Issue number | 1-3 |

DOIs | |

State | Published - 16 Jul 2007 |

## Keywords

- Berry's phase
- Dihedral symmetry
- Vibronic reduction

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