Density-functional theory calculations of hopping rates of surface   diffusion
  Using density-functional theory we compute the energy barriers and attempt frequencies for surface diffusion of Ag on Ag(111) with different lattice constants, and on an Ag adsorbate monolayer on Pt(111). We find that the attempt frequency is of the order of 1 THz for all the systems studied. This is in contrast to the so-called compensation effect, and to recent experimental studies. Our analysis suggests that the applicability of simple (commonly used) scaling laws for the determination of diffusion and growth parameters is often not valid. 
C. Ratsch and M. Scheffler