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## Half-width and asymmetry of glow peaks and their consistent analytical representation

Journal of Thermal Analysis and Calorimetry
Author:
M. Balarin
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## Invariant reduced activation energy for thermokinetic curves with non-predetermined order of reaction

Journal of Thermal Analysis and Calorimetry
Author:
M. Balarin
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## Improved approximations of the exponential integral in tempering kinetics

Journal of Thermal Analysis and Calorimetry
Author:
M. Balarin
The exponential integral in non-isothermal kinetic equations for tempering with linear heating can be represented in the following analytical form
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\int\limits_0^T {e^{ - E/kT'} dT'} = \frac{{kT^2 /E}}{{\sqrt {1 + 4kT/E} }}e^{ - E/kT} ,$$ \end{document}
which is one order inkT/E≪1 more accurate than two other representations recently proposed in this journal [1, 2]. A few variants of approximated forms for the exponential integral are compared with regard to the error due to the kind of approximation, which appears when activation energies are evaluated from experimental non-isothermal kinetic curves.
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