Abstract
Abstract It is shown that for self–diffusion by means of vacancies, in an ordered binary alloy with the B2 (CsCl) structure the diffusion coefficients can be decomposed into three relevant factors : the average correlation factor, the average vacancy–availability factor and the average atom–vacancy exchange rate. Within a model of only nearest–neighbour interaction the full procedure to obtain reasonably reliable estimates of all these factors is described. In this treatment Monte Carlo computer simulation serves as a criterion. The pair approximation of Kikuchi and Sato (1969, 1972} is found to give good results for vacancy availability and exchange frequency. An interpretation is given of the theory of Manning (1967, 1971) for the random alloy and it is demonstrated how a modification can be applied to calculate correlation factors for diffusion in ordered structures. The results always turn out to be better than the values obtained by Kikuchi and Sato's path–probability calculations. In a large majority of cases the agreement with the results of computer simulation is satisfactory. Only under the condition of extreme ratios of exchange frequencies of both species, do discrepancies occur. However, those situations are traceable.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.