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.
This work was supported by the Research and Development Operational Programme project “University Science Park of STU Bratislava”, ITMS 26240220084, co-funded by the European Regional Development Fund. The financial support from the Slovak Scientific Grant Agency, grant No. VEGA 1/0592/15, is acknowledged.
- 10.Rodante F, Vecchio S, Catalani G, Guidotti M (2000) Thermal analysis and non-isothermal kinetic studies of some pesticides Part II: Chlorinate derivatives. J Therm Anal Calorim 60:605–622Google Scholar
- 13.Chen H, Liu N (2008) Approximation expressions for the temperature integral. Progr Chem 20:1015–1020Google Scholar
- 15.Zhao H, Yan H, Zhang C, Liu X, Xue Y, Qiao Y, Tian Y, Qin S (2011) Pyrolytic characteristics and kinetics of phragmites Australis Evid-Based Complement Altern Med Article, ID 408973. doi: 10.1155/2011/408973