In the present paper, the two-dimensional Brownian motion of single ad
atoms and dimers on a solid surface is examined on the basis of Langev
in equations. In these equations, a relation previously derived by the
authors for the friction force is employed. The interaction between t
he atoms and the solid surface is modeled by a decoupled cosine potent
ial. Compared to the one-dimensional case treated previously by the au
thors, the diffusion has to account in this case for the rotation of t
he dimer. It is demonstrated that the diffusion coefficient of the dim
ers exhibits a periodic dependence upon the ratio between the dimer le
ngth and the solid lattice parameter, hence that there are maxima in t
he diffusion coefficient. This effect, resonant diffusion, which was p
resent in the one-dimensional case, is now affected in a major way by
the rotation of the dimer.