The mathematical incorrectness of the integral isoconversional methods in case of variable activation energy and the consequences
Kinetic parameters resulting from the application of isoconversional methods mostly depend on the degree of conversion. This paper shows that the integral isoconversional methods are mathematically incorrect if the activation energy depends on conversion. In this case, the incorrectness resides in i...
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| Veröffentlicht in: | Journal of thermal analysis and calorimetry 2014, Vol.115 (1), p.853-859 |
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| container_end_page | 859 |
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| container_issue | 1 |
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| container_title | Journal of thermal analysis and calorimetry |
| container_volume | 115 |
| creator | Šimon, Peter Thomas, Paul Dubaj, Tibor Cibulková, Zuzana Peller, András Veverka, Miroslav |
| description | Kinetic parameters resulting from the application of isoconversional methods mostly depend on the degree of conversion. This paper shows that the integral isoconversional methods are mathematically incorrect if the activation energy depends on conversion. In this case, the incorrectness resides in improper separation of variables in the general rate equation. As a consequence, non-sensical snake-like shape of the conversion versus time curves is observed when the kinetic results are extrapolated to lower temperatures. |
| doi_str_mv | 10.1007/s10973-013-3459-7 |
| format | Article |
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This paper shows that the integral isoconversional methods are mathematically incorrect if the activation energy depends on conversion. In this case, the incorrectness resides in improper separation of variables in the general rate equation. As a consequence, non-sensical snake-like shape of the conversion versus time curves is observed when the kinetic results are extrapolated to lower temperatures.</description><identifier>ISSN: 1388-6150</identifier><identifier>EISSN: 1588-2926</identifier><identifier>DOI: 10.1007/s10973-013-3459-7</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Activation energy ; Analysis ; Analytical Chemistry ; Chemistry ; Chemistry and Materials Science ; Inorganic Chemistry ; Measurement Science and Instrumentation ; Methods ; Physical Chemistry ; Polymer Sciences</subject><ispartof>Journal of thermal analysis and calorimetry, 2014, Vol.115 (1), p.853-859</ispartof><rights>Akadémiai Kiadó, Budapest, Hungary 2013</rights><rights>COPYRIGHT 2014 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c398t-6acd97e42fa81426d441523f853056b8f21cebffca52c891dbba498c40799e113</citedby><cites>FETCH-LOGICAL-c398t-6acd97e42fa81426d441523f853056b8f21cebffca52c891dbba498c40799e113</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10973-013-3459-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10973-013-3459-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Šimon, Peter</creatorcontrib><creatorcontrib>Thomas, Paul</creatorcontrib><creatorcontrib>Dubaj, Tibor</creatorcontrib><creatorcontrib>Cibulková, Zuzana</creatorcontrib><creatorcontrib>Peller, András</creatorcontrib><creatorcontrib>Veverka, Miroslav</creatorcontrib><title>The mathematical incorrectness of the integral isoconversional methods in case of variable activation energy and the consequences</title><title>Journal of thermal analysis and calorimetry</title><addtitle>J Therm Anal Calorim</addtitle><description>Kinetic parameters resulting from the application of isoconversional methods mostly depend on the degree of conversion. This paper shows that the integral isoconversional methods are mathematically incorrect if the activation energy depends on conversion. In this case, the incorrectness resides in improper separation of variables in the general rate equation. As a consequence, non-sensical snake-like shape of the conversion versus time curves is observed when the kinetic results are extrapolated to lower temperatures.</description><subject>Activation energy</subject><subject>Analysis</subject><subject>Analytical Chemistry</subject><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Inorganic Chemistry</subject><subject>Measurement Science and Instrumentation</subject><subject>Methods</subject><subject>Physical Chemistry</subject><subject>Polymer Sciences</subject><issn>1388-6150</issn><issn>1588-2926</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kU1r3DAQhk1JoPnoD-jN1xyc6su2dAyhTQOBQpuehSyPvAq7UqrRLs0x_zyz2VxyCQJpNPO8L0Jv03zl7JIzNn5DzswoO8ZlJ1VvuvFTc8J7rTthxHBEtaR64D373JwiPjDGjGH8pHm-X0G7cXUFtEXv1m1MPpcCviZAbHNoaUbNCkvZTzH7nHZQMOZE9w3UVZ6RgNY7hD2_cyW6aQ2t8zXuyDWnFhKU5al1aX61IwuEf1tIHvC8OQ5ujfDl7Txr_v74fn_9s7v7dXN7fXXXeWl07QbnZzOCEsFprsQwK8V7IYPuJeuHSQfBPUwheNcLrw2fp8kpo71iozHAuTxrLg--i1uDjSnkWpynNcMm0oMgROpfyUFopY0SJLh4JyCmwv-6uC2ivf3z-z3LD6wvGbFAsI8lblx5spzZfUD2EJClgOw-IDuSRhw0SGxaoNiHvC30qfiB6AXmJ5W1</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Šimon, Peter</creator><creator>Thomas, Paul</creator><creator>Dubaj, Tibor</creator><creator>Cibulková, Zuzana</creator><creator>Peller, András</creator><creator>Veverka, Miroslav</creator><general>Springer Netherlands</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>2014</creationdate><title>The mathematical incorrectness of the integral isoconversional methods in case of variable activation energy and the consequences</title><author>Šimon, Peter ; Thomas, Paul ; Dubaj, Tibor ; Cibulková, Zuzana ; Peller, András ; Veverka, Miroslav</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c398t-6acd97e42fa81426d441523f853056b8f21cebffca52c891dbba498c40799e113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Activation energy</topic><topic>Analysis</topic><topic>Analytical Chemistry</topic><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Inorganic Chemistry</topic><topic>Measurement Science and Instrumentation</topic><topic>Methods</topic><topic>Physical Chemistry</topic><topic>Polymer Sciences</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Šimon, Peter</creatorcontrib><creatorcontrib>Thomas, Paul</creatorcontrib><creatorcontrib>Dubaj, Tibor</creatorcontrib><creatorcontrib>Cibulková, Zuzana</creatorcontrib><creatorcontrib>Peller, András</creatorcontrib><creatorcontrib>Veverka, Miroslav</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of thermal analysis and calorimetry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Šimon, Peter</au><au>Thomas, Paul</au><au>Dubaj, Tibor</au><au>Cibulková, Zuzana</au><au>Peller, András</au><au>Veverka, Miroslav</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The mathematical incorrectness of the integral isoconversional methods in case of variable activation energy and the consequences</atitle><jtitle>Journal of thermal analysis and calorimetry</jtitle><stitle>J Therm Anal Calorim</stitle><date>2014</date><risdate>2014</risdate><volume>115</volume><issue>1</issue><spage>853</spage><epage>859</epage><pages>853-859</pages><issn>1388-6150</issn><eissn>1588-2926</eissn><abstract>Kinetic parameters resulting from the application of isoconversional methods mostly depend on the degree of conversion. This paper shows that the integral isoconversional methods are mathematically incorrect if the activation energy depends on conversion. In this case, the incorrectness resides in improper separation of variables in the general rate equation. As a consequence, non-sensical snake-like shape of the conversion versus time curves is observed when the kinetic results are extrapolated to lower temperatures.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10973-013-3459-7</doi><tpages>7</tpages></addata></record> |
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| subjects | Activation energy Analysis Analytical Chemistry Chemistry Chemistry and Materials Science Inorganic Chemistry Measurement Science and Instrumentation Methods Physical Chemistry Polymer Sciences |
| title | The mathematical incorrectness of the integral isoconversional methods in case of variable activation energy and the consequences |
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