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Computational modelling of the YAG synthesis

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Abstract

Mathematical and numerical models of the yttrium aluminium garnet (YAG) synthesis are presented in the article. The models allow the effective computer simulation of the YAG synthesis. The synthesis by sol–gel and solid-state reaction methods is considered in the article. The question concerning the reasons for the observed changes in the preparation temperature by changing synthesis method is answered. The inverse modelling problem is solved: using known experimental data (synthesis time, dimensions of reactants) the unknown input parameters of the model (diffusion and reaction rate coefficients) are calculated.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, Vilnius, 03225, Lithuania

    Feliksas Ivanauskas & Bogdan Lapcun

  2. Institute of Mathematics and Informatics, Akademijos str. 4, Vilnius, 08663, Lithuania

    Feliksas Ivanauskas

  3. Department of Chemistry, Vilnius University, Naugarduko str. 24, Vilnius, 03225, Lithuania

    Aivaras Kareiva

Authors
  1. Feliksas Ivanauskas
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  2. Aivaras Kareiva
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  3. Bogdan Lapcun
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Correspondence to Bogdan Lapcun.

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Ivanauskas, F., Kareiva, A. & Lapcun, B. Computational modelling of the YAG synthesis. J Math Chem 46, 427–442 (2009). https://doi.org/10.1007/s10910-008-9468-2

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