JMAKJohnson-Mehl-Avrami-Kolmogorov Equation (nucleation rate)
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In the JMAK model, it is assumed that the impingement is random and that the austenite grain is distributed randomly and grows isotopically in the parent phase.
Using the modified JMAK model, the experimental results are correlated and the values of [D.sub.0] and [Q.sub.d] are obtained.
The comparison of experimental curves and the modified JMAK model results demonstrate that the start temperature of austenization is reduced from 1010.05 K to 999.28 K.
Thus, for the mechanical mixture [Fe.sub.2][O.sub.3]/SBA-15, results from model-dependent Coats-Redfern analysis were confirmed by the JMAK analysis.
Additionally, JMAK kinetics were consistent with a one-dimensional reduction of Fe species localized in the pore system of SBA-15.
According to JMAK analysis, the fraction of crystalline [Fe.sub.2][O.sub.3] in [Fe.sub.2][O.sub.3]/SBA-15 as detected by XRD resulted in three-dimensional reduction kinetics.
Still, the key assumption about the velocity made in the work of JMAK remained the same; namely, that the velocity of the moving boundary at a particular point in time was the same at all points of the moving boundaries.
They plugged these numbers into a modified JMAK model, and their results agreed with the conventional JMAK method.