One-phonon scattering of He from the LiF(001)〈100〉 Rayleigh mode

The one-phonon cross-section from the Rayleigh mode calculated with a point-ion lattice dynamical theory accounts for all salient inelastic scattering intensities seen in He-LiF(001)〈100〉 measurements published by Brusdeylins, Doak and Toennies J. Chem. Phys. 75 (1981) 1784]. Scattering cross-sections are found by the Rayleigh method, wherein the repulsive part of the scattering potential is approximated as a hard-wall. The solution is in the form of a perturbation expansion in the elastic corrugation and phonon motion of the surface. For each phonon order the solution is infinite in the elastic corrugation. Resonant intensity enhancement occurs either through selective desorption or selective adsorption, both of which have amplitudes which explicitly appear in the perturbation expansion and can be separately calculated. Intensity enhancement also occurs by kinematical focusing. We find a new type of kinematical focusing in addition to that discussed by Benedek Phys. Rev. Letters 35 (1975) 234].