Kinetic analysis of solid-state reactions: A new integral method for nonisothermal kinetics with the dependence of the preexponential factor on the temperature (A = A 0 Tn )

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Title: Kinetic analysis of solid-state reactions: A new integral method for nonisothermal kinetics with the dependence of the preexponential factor on the temperature (A = A 0 Tn )
Authors: Cai, Junmeng caijunmeng7321@sjtu.edu.cn, Liu, Ronghou1, Wang, Yuanyuan1
Source: Solid State Sciences. May2007, Vol. 9 Issue 5, p421-428. 8p.
Subjects: Chemical kinetics, Chemical engineering approximation methods, Temperature, Solid state chemistry, Swiss kinetic sculpture
Abstract: Abstract: In this study, we have proposed a new approximation for the general temperature integral, which frequently occurs in the nonisothermal kinetics with the dependence of the preexponential factor on the temperature and has no exact analytical solution. The validity of the new approximation has been tested by some numerical analyses. As the solution of the general temperature integral, the new approximation is more accurate than other approximations. Based on the newly proposed approximation, the corresponding integral method has been given. The precision of the integral methods for the determination of the activation energy has been calculated, and the results have shown that the relative error involved in the activation energy obtained from the new integral method is smaller than that from other integral methods. For applications, nonisothermal data obtained by theoretical simulation have been successfully processed using the new integral method. [Copyright &y& Elsevier]
Copyright of Solid State Sciences is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 25344827
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  Data: Kinetic analysis of solid-state reactions: A new integral method for nonisothermal kinetics with the dependence of the preexponential factor on the temperature (A = A <subscript>0</subscript> T<superscript>n</superscript> )
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  Data: <searchLink fieldCode="AR" term="%22Cai%2C+Junmeng%22">Cai, Junmeng</searchLink><i> caijunmeng7321@sjtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Ronghou%22">Liu, Ronghou</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yuanyuan%22">Wang, Yuanyuan</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Solid+State+Sciences%22">Solid State Sciences</searchLink>. May2007, Vol. 9 Issue 5, p421-428. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Chemical+kinetics%22">Chemical kinetics</searchLink><br /><searchLink fieldCode="DE" term="%22Chemical+engineering+approximation+methods%22">Chemical engineering approximation methods</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature%22">Temperature</searchLink><br /><searchLink fieldCode="DE" term="%22Solid+state+chemistry%22">Solid state chemistry</searchLink><br /><searchLink fieldCode="DE" term="%22Swiss+kinetic+sculpture%22">Swiss kinetic sculpture</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract: In this study, we have proposed a new approximation for the general temperature integral, which frequently occurs in the nonisothermal kinetics with the dependence of the preexponential factor on the temperature and has no exact analytical solution. The validity of the new approximation has been tested by some numerical analyses. As the solution of the general temperature integral, the new approximation is more accurate than other approximations. Based on the newly proposed approximation, the corresponding integral method has been given. The precision of the integral methods for the determination of the activation energy has been calculated, and the results have shown that the relative error involved in the activation energy obtained from the new integral method is smaller than that from other integral methods. For applications, nonisothermal data obtained by theoretical simulation have been successfully processed using the new integral method. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Solid State Sciences is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.solidstatesciences.2007.03.022
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 421
    Subjects:
      – SubjectFull: Chemical kinetics
        Type: general
      – SubjectFull: Chemical engineering approximation methods
        Type: general
      – SubjectFull: Temperature
        Type: general
      – SubjectFull: Solid state chemistry
        Type: general
      – SubjectFull: Swiss kinetic sculpture
        Type: general
    Titles:
      – TitleFull: Kinetic analysis of solid-state reactions: A new integral method for nonisothermal kinetics with the dependence of the preexponential factor on the temperature (A = A 0 Tn )
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            NameFull: Cai, Junmeng
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            NameFull: Liu, Ronghou
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            – D: 01
              M: 05
              Text: May2007
              Type: published
              Y: 2007
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