We propose in this paper a theoretical model to investigate surface se
lf-diffusion of single adatoms on two different low-index planes, clos
ely packed (001) and densely packed (111), of face-centered-cubic rhod
ium, nickel and copper metal crystals. Two realistic model potentials
are applied to describe the interatomic interaction of the adatom-subs
trate systems. The first model is a Morse-type potential, which involv
es several empirical fittings of bulk properties of solid. The second,
newly popular, potential was introduced by Sutton and Chen, which inc
orporates many-body effects. With these potentials, conventional molec
ular dynamics (MD) is employed to obtain trajectories of the atoms. Th
e average squared displacements are computed for a range of initial ki
netic energies, and the surface diffusion constants can be obtained by
means of the Einstein relation. The estimated random walk exponential
prefactors and activation energies exhibit an Arrhenius behavior, and
are compared with previous results.