Laws of thermal diffusion of individual molecules on the gold surface

By molecular dynamics simulations, we describe and discuss the mobility of single molecules on a metal surface. The calculated trajectories of 28 different molecules show that diffusion, subdiffusion and superdiffusion regimes exist. The trajectories also share some common features, which are expressed in the form of power laws that link the length of the path walked by the molecule, the molecular mass, and the surface-molecule interaction energy. The values of the exponents of the laws are easily rationalized and provide insight into the molecular behaviour on the surface. The calculations also show that the adsorption is governed by the combination of van der Waals and Coulomb molecule-surface interactions.