Quenching of Metals Containing Impurity. II. Substitutional Impurity in Body-Centered-Cubic Metals

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Abstract
Impurity-vacancy complexes and two-vacancy-impurity-atom complexes up to the next-nearest-neighbor interaction are shown and classified. The kinetic equations between vacancies and impurity atoms in body-centered cubic crystals for the nearest-neighbor interaction alone and for the nearest- and next-nearest-neighbor interactions are presented. Applications of these equations to the thermal equilibrium and to the reaction during quenching and aging are treated. The critical temperatures or freezing temperatures which determine the status after the quench are given. The cooling rate near the critical temperature determines the quenched status. The analytical treatment is in good agreement with the results of the actual change during quenching calculated by a digital computer.