An Analytical Discrete Lattice Calculation of Vacancy Decay in Dilute Alloys

✍ Scribed by S. R. Macewen; M. Koiwa

• Publisher: John Wiley and Sons
• Year: 1972
• Tongue: English
• Weight: 602 KB
• Volume: 54
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2220540133

✦ Synopsis

Abstract

A discrete lattice calculation of vacancy annealing in dilute alloys has been performed, and the results are compared with the Damask and Dienes chemical reaction rate formulation. It is shown that the reaction rate scheme overestimates the initial transient vacancy decay rate. However, at long times, after the attainment of chemical equilibrium between solute‐vacancy complexes and f pee vacancies, the discrete lattice and rate theory formulations become identical. The rate of solute‐vacancy complex formation has been calculated using the theory of stochastic processes to determine the expected time required for a vacancy to migrate from a given position in the lattice to a first nearest neighbour position of a solute atom. Good agreement is found with the transient rate constants found from the discrete lattice annealing calculations.