Empirical formula for temperature integral in non-isothermal kinetics for exponential heating

Abstract Exponential temperature change in non-isothermal kinetics has been discussed. A new empirical formula for the temperature integral has been presented, which has the form . A comparison of the proposed approximation has been made with the approximation proposed by Gorbachev (V. M. Gorbachev: J. Therm. Anal., 1977, 11, 125-128). The results have shown that the new approximation is more accurate than the Gorbachev approximation and deviates by <0·0035% for x(E/RT) as low as five. An analysis of the relative error involved in the activation energy obtained from the integral methods has been performed, and the validity of the integral method has been examined with some theoretical data.