Scattering of Neutral Atoms by an Exponential Corrugated Potential

Abstract

Phys. Rev. Lett. 30, 177 (1973)] and for Pd alloyed with Ag [C. Norris, J. Appl. Phys. 40, 1396 (1969], since both the dlevel width and d-level binding energy below 2? F are 2-3 times larger than observed for such resonances.14 Recently, L. J. Brillson, R. Z. Bachrach, R. S. Bauer, and J. McMenamin [Phys. Rev. Letters 42, 397 (1979)] attributed the <p behavior for Al on GaAs to dipole formation. Since they observed an exchange reaction (AlAs formation) as well as outward diffusion of both Ga and As, it is hard to rule out surface stoic biometry as an explanation for <p variations. 15 V. Heine, Phys. Rev. 138, A1689 (1965. 16 The absence of known bulk compounds composed of Si and the simple metals (Al, Ga, and In) studied in Ref. 2 makes it difficult to characterize what (if any) chemical reactions may have occurred at the interface.

Selective adsorption resonances: Quantum and stochastic approaches

“…Eqs. (31) and (32) for the kinematical rainbow and elastic focussing, respectively, lead to degeneracies of rotational diffraction channels-as far as we know no experimental evidence of these two effects has been reported yet. Analogously, the rotational TR condition is a generalization of Eq.…”

“…As discussed below, in classical surface scattering this singularity is very much analogous to the rainbow condition, and has been called kinematic rainbow effect [106]. Condition (31) leads to the kind of degeneracy plotted in Fig. 6.…”

“…Modern quantum theory of atom-surface scattering began with Cabrera, Celli, Goodman, and Manson (CCGM) [19,20], whose formalism was based on the two-potential transition matrix scattering theory due to Gell-Mann and Goldberger [21], and with Tsuchida [22] and Wolken [23], who worked within the CC framework. Subsequent CC calculations were carried out by Chow and Thompson [24][25][26][27], and the CCGM formalism was further developed by means of alternative methods, such as those due to Wolfe and Weare [28], Celli, García, and Hutchison [29,30], and Armand and Manson [31][32][33]. Gerber et al [34,35] proposed an adaptation of the so-called sudden approximation in gas-phase scattering to atom-surface scattering.…”

Theory of atomic diffraction from evanescent waves

“…Analyzing the matrix element in Fermi's Golden Rule in analogy to the Franck-Condon factors familiar from molecular physics, we expect diffraction to be most efficient when the classical turning points of both wavefunctions coincide, since their amplitude is maximum there. 6 It is easy to see that this condition is in fact identical to (28). Fig.8 shows the result of the distorted-wave Born approximation (points).…”

Surface investigations with atomic beams

“…Concerning the softness of the repulsive potential (Armand and Manson 1979), it can be shown that application of the hard corrugated-wall model in analysing experimental data yields reliable results for both the shape and the amplitude of the corrugation as long as the data used are for small angles of incidence and the particle energies are not too small (Rieder and Garcia 1982).…”