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. I...

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Detalles Bibliográficos
Autores: Farjas Silva, Jordi, Roura Grabulosa, Pere
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/9737
Acceso en línea:http://hdl.handle.net/10256/9737
Access Level:acceso abierto
Palabra clave:Termodinàmica
Thermodynamic
Kissinger's functions
Kissinger, Funcions de
Lambert’s functions
Lambert, Funcions de
Descripción
Sumario: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