Chen HX, Liu NA (2009b) NEW APPROXIMATE FORMULAE FOR THE GENERALIZED TEMPERATURE INTEGRAL. Journal of Thermal Analysis and Calorimetry 96(1), 175-178. [In English]
Web link: http://dx.doi.org/10.1007/s10973-008-9388-1
approximation, kinetic analysis, non-isothermal, temperature integral, kinetics, dependence
Abstract: State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China The generalized temperature integral integral(T)(0)T(m)exp(-E / RT)dT frequently occurs in non-isothermal kinetic analysis. Here E is the activation energy, R the universal gas constant and T the absolute temperature. The exponent m arises from the temperature dependence of the pre-exponential factor. This paper has proposed two new approximate formulae for the generalized temperature integral, which are in the following forms: h(m)(x)=x/(1.00141 + 0.00060m)x + (1.89376 + 0.95276m) h(m)(x)=x + (0.74981 - 0.06396m)/(1.00017 + 0.00013m)x + (2.73166 + 0.92246m) where h(m)(x) is the equivalent form of the generalized temperature integral. For commonly used values of m in kinetic analysis, the deviations of the new approximations from the numerical values of the integral are within 0.2 and 0.03%, respectively. In contrast to other approximations, both the present approaches are simple, accurate and can be used easily in kinetic analysis.