Abstract
The frequency factor in a thermoluminescent material depends on temperature which can be expressed as s(T)=s0Ta (−2≤a≤2). In practice, analysis of thermoluminescence (TL) glow curves are performed assuming the frequency factor to be temperature independent due to the difficulties involved in estimating a. Such assumption may introduce some limitations in estimating TL parameters of a material and hence, a thorough investigation on the effect of temperature dependent frequency factor (TDFF) on TL analysis has its own importance. In this communication, a comprehensive study using ‘One Trap One Recombination centre’ (OTOR) model considering TDFF is reported. The prerequisite for such a study is to reproduce the same curve for different values of ‘a’ as it is not possible to have a priori knowledge of ‘a’ in experimental scenario. This issue is addressed in this work and we have described a methodology for such peak simulation. The OTOR equations are solved and pioneering calculations to derive the peak maxima condition is developed using Lambert-W function considering TDFF. An analytical approach to evaluate the extended temperature integral of the form ∫TiTfTae−EkTdT is also presented. We have extracted the activation energy for different values of ‘a’ from a particular TL peak using peakshape method and estimated the subsequent error that may incur out of the assumption of temperature independent frequency factor. The present study has been extended to analyse experimental TL peak reported in literature. TL Peak simulation with TDFF based on Interactive Multi Trap System (IMTS) model has also been explored for a sample case.
Published Version
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