Abstract
A theoretical model describing the nucleation of vacancy precipitation in pure metals is investigated. The model introduces a new definition of nucleation based on a change in conditions from random walk to concentration-gradient-controlled vacancy diffusion. Monovacancy as well as divacancy diffusion is considered. Vacancy cluster concentrations are computed as functions of temperature during quenching for clusters of up to six vacancies. The critical temperatures ${T}^{*}$ for nucleation of precipitation are computed for all considered cluster sizes. Numerical parameter values are chosen to represent aluminium. The obtained densities of vacancy precipitation nuclei are compared with available literature values of dislocation-loop densities in quenched aluminium. Within the investigated limits, the choice of maximum cluster size before nucleation of precipitation is not critical for the resulting densities of nuclei and nucleation temperatures ${T}^{*}$.
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