Abstract
It is shown that the total differential of the function of the amount of conversion versus temperature and time (α=f(T, t)) is equal to zero non-isothermal kinetics at constant heating rate. Hence, the mathematical expression used in the literature for the rate of the non-isothermal transformation,\(\frac{{d\alpha }}{{dt}} = \left( {\frac{{\partial \alpha }}{{\partial t}}} \right)_T + \left( {\frac{{\partial \alpha }}{{\partial T}}} \right)_t \cdot \frac{{dT}}{{dt}}\), is not valid.
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References
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A. V.Nikolaev, V. A.Logvinenko, V. M.Gorbatchev, L. I.Myachina and N. N.Knyazeva, Proceedings of the Third International Conference on Thermal Analysis, Switzerland, 23–28 August 1971.
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Gorbatchev, V.M., Logvinenko, V.A. The correlation between isothermal and non-isothermal kinetics in thermogravimetry. Journal of Thermal Analysis 4, 475–477 (1972). https://doi.org/10.1007/BF01913805
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DOI: https://doi.org/10.1007/BF01913805