Abstract
Abstract This paper is concerned with the lattice and grain boundary diffusivities that can be extracted from the tracer concentration depth profile resulting from diffusion of tracers from a thin film source in the presence of equally spaced parallel boundary slabs. We address this problem by mapping a grid over the phenomenologically conceived system and explore this grid with independent particles using Monte Carlo methods. It is shown that the transition from Harrison type-A kinetics (where the Hart equation provides the effective diffusivity) to Harrison type-B kinetics (where the lattice and grain boundary sections of the depth profile are delineated) occurs at a much smaller diffusion length than previously thought. In addition to the usual model where the mobility of tracers at the (surface) tracer source is matched to the immediate substrate, we also investigated a model which this mobility is made equal to the grain-boundary mobility. Similar behaviour was found.
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