Abstract
The influence of totally symmetric modes on the E⊗e Jahn-Teller effect is investigated. Within a model Hamiltonian containing up to second-order terms in the nuclear displacements the relevant interaction is provided by a bilinear vibronic coupling term, involving both the coordinates of a degenerate (e) and a totally symmetric (a 1) vibration. Concerning the adiabatic potential energy surfaces this leads to an effective frequency in the equations for the stationary points, and to the appearance of an additional manifold of conical intersections between the upper and lower surfaces. Dynamical calculations on the vibronic structure of an E←A electronic transition have been performed for selected values of the parameters. If the frequencies of the e and the a 1 mode are sufficiently different, the results can be well understood within a vibrationally adiabatic picture whereby the eigen-values of the faster mode act as additional potential of the slower motion. The importance of the bilinear coupling term is estimated by an analysis of the ground state potential energy surface of the sodium trimer.
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