Kinematic Model for Reaction. II. Ion–Molecule Reactions Involving H2 and D2

Abstract
The kinematic model for atom–diatom reactions is extended to include ion–molecule reactions. In the extended model, reactants approach each other up to the point of contact along trajectories and with a relative velocity determined by the potential acting between them. After contact, energy and momentum transfers among the three particles are calculated assuming hard‐sphere interactions; reaction probabilities are assigned on the basis of the results of the kinematic analysis. Reaction cross sections are calculated for the Ar+ + H2 and Ar+ + D2 systems for Ar+ energies in the ranges 20–200 eV and 10–100 eV, respectively. Good agreement with experiment is obtained. The model predicts a small isotope effect favoring the reaction of Ar+ with D2 over H2 when compared at the same relative energy. Some qualitative features of the N2+ + D2, H2 reactions are shown to be consistent with the kinematic considerations of the model.

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