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Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations

A key parameter of many transformations when heated at a constant rate is the peak temperature, i.e., the temperature at which the transformation rate is at its maximum. The most universal approach to determine the peak temperature for thermally activated transformations is the Kissinger equation. In this paper, we solve Kissinger equation to deduce the exact dependence of the peak temperature on the heating rate. This analytical solution is based on the Lambert W-function. In addition, an approximate solution is derived that is used to infer general properties of thermally activated processes and to obtain a test to check the validity of Kissinger method

This work was partially funded by the Spanish Programa Nacional de Materiales through project MAT2011-28874-C02-02 and by the Generalitat de Catalunya contract No. 2009SGR-185

Elsevier

Author: Farjas Silva, Jordi
Roura Grabulosa, Pere
Abstract: A key parameter of many transformations when heated at a constant rate is the peak temperature, i.e., the temperature at which the transformation rate is at its maximum. The most universal approach to determine the peak temperature for thermally activated transformations is the Kissinger equation. In this paper, we solve Kissinger equation to deduce the exact dependence of the peak temperature on the heating rate. This analytical solution is based on the Lambert W-function. In addition, an approximate solution is derived that is used to infer general properties of thermally activated processes and to obtain a test to check the validity of Kissinger method
This work was partially funded by the Spanish Programa Nacional de Materiales through project MAT2011-28874-C02-02 and by the Generalitat de Catalunya contract No. 2009SGR-185
Document access: http://hdl.handle.net/2072/243025
Language: eng
Publisher: Elsevier
Rights: Tots els drets reservats
Subject: Termodin脿mica
Thermodynamic
Kissinger鈥檚 functions
Kissinger, Funcions de
Lambert鈥檚 functions
Lambert, Funcions de
Title: Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
Type: info:eu-repo/semantics/article
Repository: Recercat

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