The new rate equations for the formation process of a vacancy cluster in the fcc lattice have been derived by incorporating the diffusion motion of vacancies in the lattice. It is clarified that the concentration of clusters in each size calculated by the new rate equations is lower than that by the rate equations of Cotterill type during the initial aging, and time dependence of pre-exponential factor in the new rate equations considerably affects the clustering of vacancies at low temperature during the initial aging.
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Kazuto Watanabe (1980) studied this question.
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