Abstract
The algebraic-eikonal approach to electron-molecule scattering is further developed. A simple perturbation method is used to illustrate the coupling of vibrational bands. Furthermore, it is shown explicitly that the differential cross section summed over the final rotational states and averaged over the initial magnetic substates does not depend on the initial angular momentum. Finally this approach is applied to calculate the differential cross section for scattering electrons from the diatomic molecules LiF and KI.