13. Equivalence of the Arrhenius and Non-Arrhenian Temperature Functions in the Temperature Range of Measurement and Its Application in Isoconversional Kinetics

It is shown that the kinetic data can be equivalently described in the temperature range of measurement by the Arrhenius, Harcourt–Esson and Berthelot–Hood temperature functions. The reason is that, in a narrow temperature range, 1/T, ln T and T are linearly related to each other. Therefore, the kinetic parameters obtained from one function can be recalculated to the parameters from another one. This equivalence holds for the incremental and differential isoconversional methods only; due to their mathematical incorrectness, the equivalence does not take place for the integral isoconversional methods. It is reasoned that the temperature functions are equivalent not only in the case of the isoconversional methods, but also for the model-fitting methods. An incremental isoconversional method without any approximations or transformations of the experimental data and with a statistically well-grounded and physically justified objective function based on the maximum likelihood approach is mentioned.