Abstract
The Kirchhoff approximation and the primitive semiclassical theory are compared for the case of scattering from a corrugated hard-wall potential. The Kirchhoff formula reduces, up to a sign, to the primitive semiclassical result when the latter applies and when only single-hit classical trajectories are important. Contributions from multiple-hit trajectories are calculated by an iterative Kirchhoff procedure. These multiple-hit contributions are shown to be largely responsible for the azimuthal dependence in the specular beam when He is scattered from LiF(001).
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