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Interdiffusion Analysis in Ternary Systems to Process Composition Profiles and Obtain Constant Interdiffusion Coefficients Using One Compact Diffusion Couple

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Abstract

The interdiffusion process in a three-component alloy system has been studied by means of numerical analysis. The composition profiles for a ternary system were generated making use of the closed-form solution with a constant interdiffusion matrix with the accompanying analysis of the diffusion paths. Two methods [the Fitting Method and the modified square root diffusivity (MSQRD) method] have been considered to investigate the inverse interdiffusion problem for application to a single interdiffusion couple measurement. The Fitting Method simultaneously fits the required functional form into the data obtained for two composition profiles. Such fitted parameters are used to determine the constant interdiffusion matrix. The MSQRD method has been applied to the generated composition profiles and performs very well for all the cases considered. It was found that the errors of the MSQRD method are, in general, lower than in the use of the Fitting Method even without imposing artificial noise on the composition profiles to mimic the experimental data. In addition, it has been shown that the back-tests of the composition profiles must not be used as the only proof of the reliability of the methods used.

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Acknowledgment

The research was supported under the Australian Research Council Discovery Project funding scheme (Project Number: DP 170101812).

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Authors and Affiliations

  1. University Centre for Mass and Thermal Transport in Engineering Materials, Priority Research Centre for Geotechnical and Materials Modelling, School of Engineering, The University of Newcastle, Callaghan, NSW, 2308, Australia

    Mohammad Afikuzzaman, Irina V. Belova & Graeme E. Murch

  2. Department of Materials Science and Engineering, The Ohio State University, Columbus, OH, 43221, USA

    John E. Morral

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  1. Mohammad Afikuzzaman
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  2. Irina V. Belova
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  3. Graeme E. Murch
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  4. John E. Morral
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Correspondence to Irina V. Belova.

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This invited article is part of a special issue of the Journal of Phase Equilibria and Diffusion in honour of the 2018 J. Willard Gibbs Phase Equilibria Award winner, Dr. John Morral. The award was presented to Dr. Morral during MS&T’18, October 14-18, 2018, in Columbus, Ohio, “for fundamental and applied research on topology of phase diagrams and theory of phase equilibria resulting in major advances in the calculation and interpretation of phase equilibria and diffusion.”

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Afikuzzaman, M., Belova, I.V., Murch, G.E. et al. Interdiffusion Analysis in Ternary Systems to Process Composition Profiles and Obtain Constant Interdiffusion Coefficients Using One Compact Diffusion Couple. J. Phase Equilib. Diffus. 40, 522–531 (2019). https://doi.org/10.1007/s11669-019-00740-0

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  • DOI: https://doi.org/10.1007/s11669-019-00740-0

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