A mathematical description of the diffusion and evaporation of atomic probes in the cores of crystal boundaries during isochronal annealing was presented which was based upon the Goldshtein-Fisher model. It was shown that the diffusion coefficients in the cores of such boundaries could be directly determined by measuring the intensity of strongly absorbed radiation from atomic probes. A method was described which offered the possibility of studying diffusion processes in the same boundary system over an entire range of temperatures. If the radiation from the atomic probes had a component that was not absorbed in the diffusion zone, measurements of its intensity could provide information on the evaporation constant and equilibrium vapor pressure of atomic probes above the cores of the crystal boundaries.
V.V.Dyakin, S.M.Klotsman, M.I.Kurkin: Physics of Metals and Metallography, 1996, 82[3], 217-24