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TL from Delocalized Transitions: Models

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Luminescence Signal Analysis Using Python

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Abstract

In this chapter we introduce several models commonly used for analyzing thermoluminescence (TL) signals. We provide an overview and mathematical description of models based on delocalized transitions involving the conduction/valence bands in solids. We present Python codes for numerically integrating the simple one trap one recombination model (OTOR), as well as for integrating the equations for first order, second order and general order kinetics (FOK, SOK, GOK respectively). Python simulations are presented for the dose response of TL signals described using first and second order kinetics. We discuss in detail the general one trap (GOT) differential equation and its analytical Kitis-Vlachos (KV-TL) solution, which is based on the Lambert W function. We also present the more advanced models of Interactive Multi Trap System (IMTS) and Mixed Order Kinetics (MOK). Additional Python codes are demonstrated for the initial rise method and the method of various heating rates, which allow evaluation of both the activation energy and the frequency factor associated with a TL peak. The models in this chapter are used in the next chapter to fit experimental TL data.

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Authors and Affiliations

  1. Physics Department, McDaniel College, Westminster, MD, USA

    Vasilis Pagonis

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  1. Vasilis Pagonis
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Correspondence to Vasilis Pagonis .

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Pagonis, V. (2022). TL from Delocalized Transitions: Models. In: Luminescence Signal Analysis Using Python. Springer, Cham. https://doi.org/10.1007/978-3-030-96798-7_2

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