Extension of the diffusional kinetics models involving changes in activation energy |
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Authors: | A Małecki J P Doumerc |
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Institution: | (1) Laboratoire de Chimie du Solide du CNRS, Universite de Bordeaux I, 351, Cours de la Liberation, 33405 Talence Cedex, France;(2) Present address: Institute of Materials Science, Academy of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Cracow, Poland |
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Abstract: | On the basis of previous modifications of the Zhuravlev and Ginstling-Brounshtein models, a generalization of kinetic diffusional models is proposed. With the assumption that the rate of the activation energy change during the reaction is inversely proportional to the reaction time, it has been shown that all diffusional kinetic equations in heterogeneous systems take the formF( )=KT
n
, whereF( ) is a function of the degree of conversion andK andn are constants related to the rate constant.
Zusammenfassung Auf Grund vorangegangener Modifikationen der Modelle von Zhuravlev und Ginstling-Brounshtein wird eine Verallgemeinerung der kinetischen Diffusionsmodelle vorgeschlagen. Mit der Annahme, daß die Geschwindigkeit der Änderung der Aktivierungsenergie während der Reaktion umgekehrt proportional der Reaktionszeit ist, wird gezeigt, daß alle kinetischen Diffusionsgleichungen für heterogene Systeme die FormF( )=KT
n
haben, woF( ) eine Funktion des Konversionsgrades undK undn mit der Geschwindigkeitskonstante in Beziehung stehende Konstanten sind.
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![kcy](/content/r186521q32147513/xxlarge1082.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![chcy](/content/r186521q32147513/xxlarge1095.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![kcy](/content/r186521q32147513/xxlarge1082.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![ucy](/content/r186521q32147513/xxlarge1091.gif) ![rcy](/content/r186521q32147513/xxlarge1088.gif) ![acy](/content/r186521q32147513/xxlarge1072.gif) ![vcy](/content/r186521q32147513/xxlarge1074.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![pcy](/content/r186521q32147513/xxlarge1087.gif) ![rcy](/content/r186521q32147513/xxlarge1088.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![mcy](/content/r186521q32147513/xxlarge1084.gif) ![acy](/content/r186521q32147513/xxlarge1072.gif) ![yucy](/content/r186521q32147513/xxlarge1102.gif) ![vcy](/content/r186521q32147513/xxlarge1074.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) F( )=KT
n
, ![gcy](/content/r186521q32147513/xxlarge1075.gif) ![dcy](/content/r186521q32147513/xxlarge1076.gif) F( ) — ![fcy](/content/r186521q32147513/xxlarge1092.gif) ![ucy](/content/r186521q32147513/xxlarge1091.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![kcy](/content/r186521q32147513/xxlarge1082.gif) ![tscy](/content/r186521q32147513/xxlarge1094.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![pcy](/content/r186521q32147513/xxlarge1087.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![rcy](/content/r186521q32147513/xxlarge1088.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![vcy](/content/r186521q32147513/xxlarge1074.gif) ![rcy](/content/r186521q32147513/xxlarge1088.gif) ![acy](/content/r186521q32147513/xxlarge1072.gif) ![shchcy](/content/r186521q32147513/xxlarge1097.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) , K n — ![yacy](/content/r186521q32147513/xxlarge1103.gif) ![vcy](/content/r186521q32147513/xxlarge1074.gif) ![lcy](/content/r186521q32147513/xxlarge1083.gif) ![yacy](/content/r186521q32147513/xxlarge1103.gif) ![yucy](/content/r186521q32147513/xxlarge1102.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![pcy](/content/r186521q32147513/xxlarge1087.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![yacy](/content/r186521q32147513/xxlarge1103.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![ycy](/content/r186521q32147513/xxlarge1099.gif) ![mcy](/content/r186521q32147513/xxlarge1084.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![icy](/content/r186521q32147513/xxlarge1080.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![iecy](/content/r186521q32147513/xxlarge1077.gif) ![lcy](/content/r186521q32147513/xxlarge1083.gif) ![softcy](/content/r186521q32147513/xxlarge1100.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![kcy](/content/r186521q32147513/xxlarge1082.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![acy](/content/r186521q32147513/xxlarge1072.gif) ![ncy](/content/r186521q32147513/xxlarge1085.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![kcy](/content/r186521q32147513/xxlarge1082.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![rcy](/content/r186521q32147513/xxlarge1088.gif) ![ocy](/content/r186521q32147513/xxlarge1086.gif) ![scy](/content/r186521q32147513/xxlarge1089.gif) ![tcy](/content/r186521q32147513/xxlarge1090.gif) .
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