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
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spelling Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformationsFarjas Silva, JordiRoura Grabulosa, PereTermodinàmicaThermodynamicKissinger's functionsKissinger, Funcions deLambert’s functionsLambert, Funcions deA 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 methodThis 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-185ElsevierMinisterio de Ciencia e Innovación (Espanya)Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion8 p.application/pdfhttp://hdl.handle.net/10256/9737http://hdl.handle.net/10256/9737© Thermochimica Acta, 2014, vol. 598, p. 51-58Articles publicats (D-F)Farjas Silva, Jordi Roura Grabulosa, Pere 2014 Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations Thermochimica Acta 598 51 58reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.tca.2014.10.024info:eu-repo/semantics/altIdentifier/issn/0040-6031info:eu-repo/grantAgreement/MICINN//MAT2011-28874-C02-02AGAUR/2009-2013/2009 SGR-185Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/97372026-05-29T05:05:01Z
dc.title.none.fl_str_mv Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
title Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
spellingShingle Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
Farjas Silva, Jordi
Termodinàmica
Thermodynamic
Kissinger's functions
Kissinger, Funcions de
Lambert’s functions
Lambert, Funcions de
title_short Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
title_full Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
title_fullStr Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
title_full_unstemmed Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
title_sort Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations
dc.creator.none.fl_str_mv Farjas Silva, Jordi
Roura Grabulosa, Pere
author Farjas Silva, Jordi
author_facet Farjas Silva, Jordi
Roura Grabulosa, Pere
author_role author
author2 Roura Grabulosa, Pere
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca
dc.subject.none.fl_str_mv Termodinàmica
Thermodynamic
Kissinger's functions
Kissinger, Funcions de
Lambert’s functions
Lambert, Funcions de
topic Termodinàmica
Thermodynamic
Kissinger's functions
Kissinger, Funcions de
Lambert’s functions
Lambert, Funcions de
description 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
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/9737
http://hdl.handle.net/10256/9737
url http://hdl.handle.net/10256/9737
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 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
AGAUR/2009-2013/2009 SGR-185
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 8 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv © Thermochimica Acta, 2014, vol. 598, p. 51-58
Articles publicats (D-F)
Farjas Silva, Jordi Roura Grabulosa, Pere 2014 Exact analytical solution for the Kissinger equation: Determination of the peak temperature and general properties of thermally activated transformations Thermochimica Acta 598 51 58
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812455

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