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Kinetic equations for diffusion-controlled precipitation reactions

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Abstract

In the past it has been suggested that the Johnson-Mehl-Avrami Kolmogorov (JMAK) equation can be used to describe the progress of a large number of nucleation and growth reactions, including diffusion-controlled precipitation reactions, provided that nucleation is random. However, its validity has only been proved for reactions with a linear growth and not for diffusion-controlled precipitation reactions. Here, the ability of the JMAK equation to fit the experimental data of diffusion-controlled precipitation reactions has been compared with the Austin-Rickett (AR) equation

α=1−{[k(T)t]n+1}-1

In all cases studied the AR equation provides a better fit to the data and the obtained integer and half-integer values of n can be interpreted in terms of the physics of the transformation processes. The latter is mostly not possible for n values obtained from the JMAK equation. It is concluded that for the purpose of interpreting data of precipitation reactions, the AR equation is more appropriate than the JMAK equation.

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  1. Centre de Thermodynamique et de Microcalorimetrie du CNRS, 13331, Marseille Cedex 3, France

    M. J Starink

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Starink, M.J. Kinetic equations for diffusion-controlled precipitation reactions. Journal of Materials Science 32, 4061–4070 (1997). https://doi.org/10.1023/A:1018649823542

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