Symmetry of the interaction of molecules with rotational degrees of freedom

We consider the nonspherical interaction of polyatomic molecules with rotational degrees of freedom that belong to different point symmetrygroups. The form of the interaction potential of molecules with different symmetry is established. The amplitude of elastic nonspherical scattering is found as a function of the angular momentum operators. For elastic scattering, selection rules with respect to the projection of the angular momentum onto the symmetry axis of the molecule are found.