Abstract The theoretical assumptions of the analytical expressions characterizing the thermoluminescence glow-peak arising from a continuous trap-depth distribution have been investigated. The sets of the differential equations governing the electrons’ transitions within a continuous trap-depth distribution during the irradiation and heating stages have been numerically solved. The analytical expressions are essentially based on a theoretical assumption that correlates the concentrations of the trapped electrons with the distribution of the trap depths in the bandgap. This correlation could not be considered in the numerical solution, since the irradiation stage is entirely independent of the trap depth. Thus, the final values of the instantaneous trap-filling functions of the irradiation stage do not depend on the trap depth, but rather on the trap capacity and the trapping probability coefficient. Consequently, in the numerical solution, the distribution of the trap depths and the distribution of the trapped electrons are independent. This inconsistency between the numerical solution and the analytical expression has led to differences in the shape of the thermoluminescence glow peaks resulting from the same trap-depth spectrum.

中文翻译：

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揭示热释光理论中陷阱深度分布模型的理论假设

摘要 研究了表征由连续陷阱深度分布引起的热释光辉光峰的解析表达式的理论假设。在辐照和加热阶段，控制电子在连续陷阱深度分布内跃迁的微分方程组已经进行了数值求解。解析表达式基本上基于一个理论假设，该假设将俘获电子的浓度与带隙中陷阱深度的分布相关联。在数值解中不能考虑这种相关性，因为辐照阶段完全独立于陷阱深度。因此，辐照阶段瞬时陷阱填充函数的最终值不依赖于陷阱深度，而是关于陷阱容量和陷阱概率系数。因此，在数值解中，陷阱深度的分布和被俘获电子的分布是独立的。数值解与解析表达式之间的这种不一致导致了由相同陷阱深度光谱导致的热释光辉光峰形状的差异。