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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

Abstract

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.

Keywords

Polymer Physical Chemistry Inorganic Chemistry Kinetic Analysis Rational Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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