Phase-space transition states momentum

GEOMETRY OF PHASE-SPACE TRANSITION STATES MANY DIMENSIONS, ANGULAR MOMENTUM... 

Figure 7.4 Three-dimensional phase space plot of the dividing surfaces and the example trajectories. The two non-reacting trajectories shown in Figure 7.3 are now plotted in the phase space with one axis representing the momenta. While they cross the naively taken dividing surface (qi = 0) more than once, they do not cross the true transition state taken as a surface in the phase space. Note the momentum dependence of the true TS.

The desorption flux is so low under these conditions that no gas phase collisions occurred between molecular desorption and LIF probing. Phase space treatments " of final-state distributions for dissociation processes where exit channel barriers do not complicate the ensuing dynamics often result in nominally thermal distributions. In the phase space treatment a loose transition state is assumed (e.g. one resembling the products) and the conserved quantities are total energy and angular momentum the probability of forming a particular flnal state of ( , J) is obtained by analyzing the number of ways to statistically distribute the available (E, J). 

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