Fraser-Suzuki function as an essential tool for mathematical modeling of crystallization in glasses

The performance of the Fraser-Suzuki function during mathematic deconvolution of crystal growth kinetic processes was extensively analyzed based on theoretical simulations. Regarding pure imitation, the Fraser-Suzuki function well describes processes with moderate negative asymmetry of a3 approximate to<-0.6; -0.2>. Considering the ability of the Fraser-Suzuki function to transfer the kinetic information during the mathematic deconvolution (i. e., performance in the procedure: kinetic signal -> fit by Fraser-Suzuki function -> kinetic analysis of the FraserSuzuki data-curve), it is very well suited for separating processes following single-exponent kinetic models such as the nucleation-growth Johnson-Mehl-Avrami-Kolmogorov model or the nth order reaction model. For the nth order autocatalytic model, the magnitude of errors depends directly on the exponent nNC. Reliable performance of the Fraser-Suzuki function is achieved when resulting nNC falls in <0; 1.2> interval. Combining the FraserSuzuki mathematic deconvolution with the consequent kinetic analysis utilizing the nth order autocatalytic model is highly recommended.

Automated summary

This article extensively analyzes the performance of the Fraser-Suzuki function in the mathematical deconvolution of crystal growth kinetic processes. It is found that the function is suitable for describing processes with moderate negative asymmetry and performs well in separating processes following single-exponent kinetic models. Furthermore, combining the Fraser-Suzuki deconvolution with the kinetic analysis using the nth order autocatalytic model yields reliable results.