The Connection between dynamics and kinetics

The link between the state-to-state reaction cross-section r at a given relative velocity and the thermal rate constant k(T) at a given temperature requires two 

AB + C coUision at a specific scattering angle 9. Top differential cross-section bottom state-to-state differential cross-section 

In the same way as we established the reaction rate for the bimolecular reaction A - - BC, given by r = [A] [B], one can write for the initial state i to final state/reaction rate (v) for the reactant approaching at relative velocity v  

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