Analysis of Ternary Diffusion: Solutions of Diffusion Equations and Calculated Concentration Distribution

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  • Y. Oishi
    Inorganic Materials Research Division, Lawrence Radiation Laboratory, and Department of Mineral Technology, College of Engineering, University of California, Berkeley, California

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<jats:p>Solutions have been given in closed form to the simultaneous differential equations for ternary diffusion where the coefficient terms are described in terms of three intrinsic diffusion coefficients. Concentration distributions for various combinations of the three intrinsic diffusion coefficients are calculated here with the solutions for semi-infinite diffusion coupling, and behavior of the respective species is discussed together with the resultant concentration distributions. Numerical solution by the finite-difference approximations has been carried out separately for the same diffusion equations, and the resultant concentration distributions are compared with those obtained by the closed-form solutions. A parameter has been derived for description of the characteristics of the ternary diffusion profile.</jats:p>

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