DARKEN’S EQUATIONS FOR DETERMINATION OF PARTIAL DIFFUSION COEFFICIENTS IN MULTICOMPONENT SYSTEMS

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

The problem of determination of partial diffusion coefficients in multicomponent systems was solved in this study. Using the Darken’s hypothesis, for each component the equation for the relationship between the partial diffusion coefficients of the components Di and the interdiffusion coefficient Di determined from the concentration curve of each component in multicomponent diffusion pair was obtained. The obtained Darken’s equations coincide in form with the Onsager’s equations for multicomponent systems. It follows that for multicomponent systems n2 diffusion coefficients according to Onsager are functions of n partial diffusion coefficients of the components according to Darken. The operability of the obtained equations and methods for calculating the parameters is tested on a virtual three-component system A+B+C. The calculated values of the partial coefficients reproduce with high accuracy the initial values used to simulate the diffusion process. The technique is applied to a real Co–Mo–W system. For the first time, the partial diffusion coefficients of cobalt, molybdenum and tungsten are determined at 1373 K in the cobalt corner of the Co–Mo–W system. Partial coefficients are used to predict the interaction between cobalt alloys doped with molybdenum and tungsten. The results of the prediction are in satisfactory agreement with the experiment.

About the authors

Alexander Vakhtangovich Mosidze

Lomonosov Moscow State University

Author for correspondence.
Email: alexander.mosidze@hotmail.com

Student, Faculty of Mechanics and Mathematics

Russian Federation, Moscow, 119991 Russia

Evgeniy Mikhailovich Slyusarenko

Lomonosov Moscow State University

Email: e.slyu@hotmail.com
ORCID iD: 0000-0001-6993-722X
Scopus Author ID: 6602776864
ResearcherId: N-4406-2018

Doctor of Chemical Sciences, Leading Researcher, Faculty of Chemistry

Russian Federation, Moscow, 119991 Russia

References

Supplementary files

Supplementary Files
Action
1. JATS XML