Abstract

Spectral patterns are investigated in a model of an isomerizing coupled stretch-and-bend system that is intended to have some of the features of a realistic model of the acetylene−vinylidene isomerization. There are patterns of a dip or minimum in the spacing of neighboring energy levels, which is characteristic of the barrier, the multiple minima, and above-barrier motion. The patterns are obtained by classifying sequences in terms of approximate effective quantum numbers, which are determined using a diabatic correlation diagram technique. The patterns have anomalies that carry dynamical information that is associated with nonlinear resonance-type couplings, similar to anharmonic Fermi resonances, between the stretch and the bend. There is conventional Fermi resonance below the barrier, and a new type of “cross-barrier” resonance is observed.

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