High-resolution He atom inelastic scattering measurements of the vibrations
parallel to the surface for the isolated alkali atoms Na, K and Cs on Cu(0
01) show a strong fall off in frequencies from 5.6 meV (Na) to 0.65 meV (Cs
) which cannot be explained in terms of the mass difference. A mean field t
heory is developed which reveals that the corresponding force constants dep
end on the adatom size; for small atoms the frequency is determined by the
local substrate holding potential, whereas in the case of the larger adatom
, Cs, the electrostatic adsorbate-adsorbate interaction is the main restori
ng force. Moreover, the theory provides an estimate of the diffusion barrie
rs and the friction coefficients. (C) 1999 Elsevier Science B.V. All rights
reserved.