A new set of peak shape formulas at different fractional intensities is proposed to extract the activation energy from a thermoluminescence (TL) glow curve. The peak shape coefficients are formulated on the basis of the average geometrical symmetry factor which is estimated considering its dependence on the relevant TL parameters. An empirical dependence of the geometrical symmetry factor on order of kinetics and other parameters is also reported. The present method is used on TL peaks generated in general order kinetics (GOK) approximation and in one trap one recombination center (OTOR) model using a wide range of TL parameters. During the course of TL peak simulation, an alternative analytical approach to evaluate the “temperature integral” is developed. The present method seems to be useful to evaluate the activation energy for all peaks except for the heavy retrapping cases when the initial trap saturation is considerably high. A probable reason behind this limitation is also explored by examining the correspondence between the temperature average of order of kinetics and the retrapping-to-recombination probability. Finally, the new peak shape formulas are tried on isolated single peaks deconvoluted from composite experimental TL curves reported in the literature and the results are quite satisfactory.

中文翻译：

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基于平均几何对称因子的峰形法重估及其在热释光辉光曲线中的应用

提出了一组不同分数强度下的新峰形公式，以从热释光 (TL) 辉光曲线中提取活化能。峰形系数是在平均几何对称因子的基础上制定的，该因子是在考虑其对相关 TL 参数的依赖性的情况下进行估计的。还报告了几何对称因子对动力学顺序和其他参数的经验依赖性。本方法用于在一般有序动力学 (GOK) 近似中生成的 TL 峰和在一个陷阱一个重组中心 (OTOR) 模型中使用广泛的 TL 参数。在 TL 峰值模拟过程中，开发了一种替代分析方法来评估“温度积分”。本方法似乎可用于评估所有峰的活化能，但当初始陷阱饱和度相当高时，重回陷情况除外。通过检查动力学顺序的温度平均值与重新捕获到重组概率之间的对应关系，还探讨了这种限制背后的可能原因。最后，在文献报道的复合实验 TL 曲线解卷积的孤立单峰上尝试了新的峰形公式，结果非常令人满意。