Journal ArticleDOI
Rational approximations of the integral of the Arrhenius function
G. I. Senum,Ralph T. Yang +1 more
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TLDR
Rational approximations have been derived for the integral of the Arrhenius function dT which is important in the kinetic analysis of thermogravimetric data and is found to be equivalent to the Gorbachev approximation.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., RT2
exp (−E/RT)/(E+2RT). The second degree rational approximation is more accurate than the Zsako empirical approximation when E/RT 5. The third and higher degree rational approximations are found to be more accurate than any other previous approximation.read more
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References
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Journal ArticleDOI
Kinetic Parameters from Thermogravimetric Data
A. W. Coats,J. P. Redfern +1 more
TL;DR: In this article, a thermocouple is used to measure the sample temperature in a Stanton HT-D thermobalance, the bead of which is positioned in or near the sample, depending on crucible design.
Journal ArticleDOI
Empirical formula for the exponential integral in non-isothermal kinetics
TL;DR: The exponential integral of the exponential integral can be approximated by means of the empirical formula, e.g. as mentioned in this paper, which approximates p(x) = - \int\limits_\infty ^x {\frac{{e^{ - u} }}{{u^2 }}} \cdot du\).
Journal ArticleDOI
Reaction kinetics and differential thermal analysis
Ralph T. Yang,Meyer Steinberg +1 more
TL;DR: In this paper, the relationship between chemical kinetics and differential thermal analysis (DTA) curves is studied for the reactions which follow the general rate expression: r = r/sub 0/e/sup -E/RT/(1 - x).