Jr. Manson, ATOM-SURFACE SCATTERING IN THE CLASSICAL LIMIT - TEMPERATURE AND ENERGY-DEPENDENCE, Physical review. B, Condensed matter, 58(4), 1998, pp. 2253-2258
The backscattered intensity from a beam of atomic projectiles directed
towards the surface of a many-body target can be expressed in terms o
f simple closed-form expressions in the single-collision classical reg
ime. Two well-known limits, which exhibit significantly different depe
ndence on the target temperature and incident energy, arise for the ca
ses in which the target is considered either as a collection of discre
te scattering points or as a flat repulsive surface. By examining a ta
rget potential that varies from the case of a weakly corrugated smooth
repulsive surface to strongly corrugated cores a classical expression
is derived that exhibits a continuous distribution of temperature dep
endencies that connect and bridge the extreme behavior of the two well
-known classical limits.