Abstract
An integral expression is derived for the displacement probability of an atom during an atom-vacancy encounter. The analysis is based on a random walk with a one-step memory and is applicable to both self-diffusion and solute diffusion. The integral expression involves parameters which are the probability of a step of the atom occurring in a particular direction relative to the direction of the previous step. These parameters are obtained in terms of lattice generating functions by considering the random walk of a vacancy on an imperfect lattice.