Semiclassical differential scattering cross sections are calculated for anisotropic potentials and averaged over molecular orientation. Both the highhyphen;frequency and the lowhyphen;frequency quantum undulations in the differential cross section are quenched and shifted in phase by the anisotropy. The degree of quenching is comparable for the two types of undulations. The anisotropy has little effect on the classical differential cross section (excluding the undulations). The primary rainbow is broadened by the anisotropy, and the maximum is decreased and shifted slightly to smaller angles. Several novel features of the scattering from anisotropic potentials are discussed.
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