Angular and rotational energy moments of cross sections in atom–diatom scattering

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Abstract
The evaluation of the various averages of the rotationally inelastic cross sections which appear in the kinetic theory developments of Wang Chang, Uhlenbeck, and deBoer is discussed and carried out numerically. The generalized phase shift (GPS) approach is used to obtain the rotational energy moments of the degeneracy averaged cross sections. These quantities are developed as power series in the ’’strength’’ of the anisotropic portion of the interaction potential, and the first few terms are evaluated in the classical limit. A nonspherical model potential for the interaction of an atom and a homonuclear diatomic molecule is introduced, and the ’’cross sections’’ are numerically evaluated for five sets of model parameters. One choice of the parameters represents the Ar–N2 system, and the other choices are used to examine the effects on the scattering results of varying specific molecular quantities.