Abstract

Theoretical studies on mode specificity in unimolecular reaction dynamics are presented, based on essentially exact quantum mechanical methods, a semi-classical multichannel branching model, and classical trajectory methods. The principal aim is to discover the relevant factors governing whether a unimolecular system exhibits mode specificity in its individual state rate constants, i.e., whether quasi-degenerate metastable states decay with significantly different rates. Model studies of two nonlinearly coupled oscillators (one of which can dissociate) demonstrate the effects of various features of potential energy surfaces on the character of the rates (e.g., degeneracy of modes, reaction path curvature, frequency modulation, etc.). These results and those obtained for the Henon-Heiles potential energy surface indicate and apparent absence of correlation between the quasi-periodic/ergodic motion of classical mechanics and the mode specific/statistical behavior of the unimolecular rate constants.

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