Dynamical extensions of QET

Methods which are called statistical—dynamical have been developed for the treatment of translational energy release [575, 578, 579, 730, 935]. What this usually means is that the region between transition state and products is treated by a mixture of statistical and dynamical methods. Typically, the dynamics of a small number of selected degrees of freedom would be described approximately and the rest would be assumed to behave statistically. 

The introduction of dynamical effects to treat the region between transition state and products has allowed experimental translational energy release distributions to be reproduced quite closely [935]. To date, the number of systems studied has been small. The method is of general applicability and reactions with reverse critical energies can be considered. 

In the case of the dissociation of the collision complex formed from 

The dynamical theory treats the partition of reverse critical energy in terms of the atomic motions within the molecule at the transition 

Alternatively, the essence of the theory can be expressed succinctly in mathematical terms. If the transition state reaction coordinate is defined by a 3iV-dimensional vector in mass normalised space, which is projected onto the 3-dimensional mass normalised subspace of the product separation coordinate, the proportion q of the reverse critical energy appearing as relative translational energy of products is 

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