caa a22 4500 463190416 CHVBK 20180406164907.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10973-006-8178-x doi (NATIONALLICENCE)springer-10.1007/s10973-006-8178-x New approximation for the general temperature integral [Elektronische Daten] [J. Cai, R. Liu] A new approximation has been proposed for calculation of the general temperature integral $$ \int\limits_0^T {T^m } e^{ - E/RT} dT $$ , which frequently occurs in the nonisothermal kinetic analysis with the dependence of the frequency factor on the temperature (A=A 0 T m). It is in the following form: $$ \int\limits_0^T {T^m } e^{ - E/RT} dT = \frac{{RT^{m + 2} }} {E}e^{ - E/RT} \frac{{0.99954E + (0.044967m + 0.58058)RT}} {{E + (0.94057m + 2.5400)RT}} $$ The accuracy of the newly proposed approximation is tested by numerical analyses. Compared with other existed approximations for the general temperature integral, the new approximation is significantly more accurate than other approximations. Springer Science+Business Media, LLC., 2007 approximation nationallicence integral nationallicence non-isothermal kinetics nationallicence Cai J. Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, 201101, Shanghai, P. R. China aut Liu R. Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, 201101, Shanghai, P. R. China aut Journal of Thermal Analysis and Calorimetry Springer US; http://www.springer-ny.com 90/2(2007-11-01), 469-474 1388-6150 90:2<469 2007 90 10973 https://doi.org/10.1007/s10973-006-8178-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10973-006-8178-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cai J. Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, 201101, Shanghai, P. R. China aut NATIONALLICENCE 700 1- Liu R. Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, 201101, Shanghai, P. R. China aut NATIONALLICENCE 773 0- Journal of Thermal Analysis and Calorimetry Springer US; http://www.springer-ny.com 90/2(2007-11-01), 469-474 1388-6150 90:2<469 2007 90 10973 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer