Influence of different diffusion rates of reaction reagents on the synthesis of yttrium aluminium garnet (YAG)

Abstract

A mathematical model for the synthesis of yttrium aluminium garnet (Y 3 Al 5 O 12 , YAG) is presented in the article. The preparation of YAG by two synthesis methods, namely the sol-gel chemistry approach and the solid-state reaction method is considered. The model of YAG synthesis is based on the system of non-stationary diffusion equations containing the nonlinear terms related to the kinetics of the reaction and diffusion rates. The periodisation of the synthesis space is considered. In this study, the computer simulation tool was developed to solve the system of partial differential equations. The developed software is employed to investigate the influence of the concentration of YAG on diffusion rates and the synthesis duration as well as on the duration when the rate of change in reaction product mass is at a maximum.