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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

Director: Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca
Autor: Farjas Silva, Jordi
Roura Grabulosa, Pere
Data: 2014
Resum: 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
Format: application/pdf
Accés al document: http://hdl.handle.net/10256/9737
Llenguatge: eng
Editor: Elsevier
Col·lecció: info:eu-repo/semantics/altIdentifier/doi/10.1016/j.tca.2014.10.024
info:eu-repo/semantics/altIdentifier/issn/0040-6031
info:eu-repo/grantAgreement/MICINN//MAT2011-28874-C02-02/ES/NANOESTRUCTURAS TENSIONADAS PARA CINTAS SUPERCONDUCTORAS DE YBCO DE BAJO COSTE Y PRESTACIONES ELEVADAS.: ANALISIS TERMICO AVANZADO/
AGAUR/2009-2013/2009 SGR-185
Drets: Tots els drets reservats
Matèria: Termodinàmica
Thermodynamic
Kissinger’s functions
Kissinger, Funcions de
Lambert’s functions
Lambert, Funcions de
Títol: Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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