Abstract
In the paper a new procedure to approximate the generalized temperature integral \( \int\limits_0^T {T^m } \exp ( - E/RT)dT \), which frequently occurs in non-isothermal thermal analysis, are presented. A series of the approximations for the temperature integral with different complexity and accuracy are proposed from the procedure. For commonly used values of m in kinetic analysis, the deviation of most approximations from the numerical values of the integral is within 0.7%, except the first approximation (within 4.0%). Since they are simple in calculation and hold high accuracy, the approximations are recommended to use in the evaluation of kinetic parameters from non-isothermal kinetic analysis.
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Chen, H.X., Liu, N.A. A procedure to approximate the generalized temperature integral. J Therm Anal Calorim 90, 449–452 (2007). https://doi.org/10.1007/s10973-006-7942-2
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DOI: https://doi.org/10.1007/s10973-006-7942-2