Journal of thermal analysis

, Volume 11, Issue 3, pp 445–447 | Cite as

Rational approximations of the integral of the Arrhenius function

  • G. I. Senum
  • R. T. Yang
Short Communication


Rational approximations have been derived for the integral of the Arrhenius function\(\int\limits_0^T {\exp ( - E/RT)}\)dT which is important in the kinetic analysis of thermogravimetric data. The first degree rational approximation is found to be equivalent to the Gorbachev approximation, i.e., RT2exp (−E/RT)/(E+2RT). The second degree rational approximation is more accurate than the Zsakó empirical approximation when E/RT < 1 and E/RT > 5. The third and higher degree rational approximations are found to be more accurate than any other previous approximation.


Polymer Physical Chemistry Inorganic Chemistry Kinetic Analysis Rational Approximation 
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Copyright information

© Akadémiai Kiadó 1977

Authors and Affiliations

  • G. I. Senum
    • 1
  • R. T. Yang
    • 1
  1. 1.Department of Applied Science Brookhaven National Laboratory UptonNew YorkUSA

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