New expressions for half life, peak maximum temperature, activation energy and kinetic order of a thermoluminescence glow peak based on the Lambert W function

In this work approximate analytical expressions are derived for four different aspects of Thermoluminescence (TL) kinetics, by using the Lambert W function. Firstly, analytical expressions are derived for the half life of trapped charge in a single trap within the one trap one center model (OTOR), and these are compared with analytical equations based on the empirical general order (GO) kinetics. Secondly, approximate analytical expressions are obtained for the temperature Tm of maximum TL intensity in a glow peak and for the activation energy E, by solving the condition for the maximum. Finally, an analytical expression was derived for evaluating the kinetic order b as a function of the integral symmetry factor μ′g of an experimental TL peak. Where necessary, the analytical expressions were successfully verified by numerical simulations of the OTOR model by using a wide range of possible values of the parameters in this model.