Aquilanti-Mundim deformed Arrhenius model in solid-state reactions Theoretical evaluation using DSC experimental data

摘要

Although the theoretical framework supporting the use of non-extensive statistical theory for the study of chemical reaction kinetics and solid-state diffusive reactions is well established, direct evaluation of the parameters involved-such as the case of pair (d, epsilon) appearing in the d-Arrhenius model-in the pertinent experimental data has yet to be generalized. This study proposes the use of "d-Arrhenius log-log plots'' instead of Arrhenius semilog plots as a tool to determine the kinetic parameters of a reaction and their application to two different solid-state reactions obtained by DSC measurements in an Al-Fe-Si alloy. The paper goes on to show that the data obtained by DSC using the Arrhenius law generate a single k(T), whereas resorting to the Aquilanti-Mundim deformed Arrhenius model generates a set of (d, epsilon) parameter pairs capable of reproducing the experimental data. Different (d, epsilon) pairs generate different k(T) (d = 0, epsilon = Q) corresponding to the Arrhenius pair. The effect of the different (d, epsilon) pairs on the different functions related to the kinetics of the reaction is examined.