The mathematical model of the yttrium aluminium garnet synthesis presented in this article. The model based on a system of non-stationary diffusion equations containing a non-linear term related to kinetics of reaction. Using computer-simulation tools and known experimental results we estimated the diffusion and reaction rates of the synthesis. Also it was shown that diffusion rate is a limited stage of the synthesis.
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Ivanauskas, F., Kareiva, A. & Lapcun, B. Diffusion and Reaction Rates of the Yttrium Aluminium Garnet Synthesis using Different Techniques. J Math Chem 42, 191–199 (2007). https://doi.org/10.1007/s10910-006-9092-y
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DOI: https://doi.org/10.1007/s10910-006-9092-y