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Prompted by recent experimental developments, a theory of surface scatteringof fast atoms at grazing incidence is developed. The theory gives rise to aquantum mechanical limit for ordered surfaces that describes coherentdiffraction peaks whose thermal attenuation is governed by a Debye-Wallerfactor, however, this Debye-Waller factor has values much larger than would becalculated using simple models. A classical limit for incoherent scattering isobtained for high energies and temperatures. Between these limiting classicaland quantum cases is another regime in which diffraction features appear thatare broadened by the motion in the fast direction of the scattered beam butwhose intensity is not governed by a Debye-Waller factor. All of these limitsappear to be accessible within the range of currently available experimentalconditions.

Diffraction of fast atoms and molecules from surfaces