Journal of thermal analysis

, Volume 11, Issue 3, pp 445–447

Rational approximations of the integral of the Arrhenius function

Authors

  • G. I. Senum
    • Department of Applied Science Brookhaven National Laboratory Upton
  • R. T. Yang
    • Department of Applied Science Brookhaven National Laboratory Upton
Short Communication

DOI: 10.1007/BF01903696

Cite this article as:
Senum, G.I. & Yang, R.T. Journal of Thermal Analysis (1977) 11: 445. doi:10.1007/BF01903696

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.

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Copyright information

© Akadémiai Kiadó 1977