Non-empirical peak shape methods based on the physical model of the one trap one recombination center model

IF 1.6 3区工程技术 Q3 CHEMISTRY, INORGANIC & NUCLEAR Applied Radiation and Isotopes Pub Date : 2024-08-03 DOI:10.1016/j.apradiso.2024.111463

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Abstract

Any experimental Thermoluminescent (TL) glow-peak contains the activation energy information of its corresponding energy level within the band gap in insulating materials. The theory of peak shape methods (PSM) correlates the macroscopic geometrical characteristics of a single TL peak with activation energy of the level responsible for the TL peak by assuming that the area under a TL peak can be approximated by the area of a triangle. In this way the geometrical characteristics becomes the measure of the activation energy. In the present work new PSM expressions are derived, which are not empirical as the existing ones but are based of the physical model of one trap one recombination (OTOR) center. Three cases are considered. (I) Delocalized OTOR for re-trapping probability smaller than the recombination probability. (II) Delocalized OTOR for re-trapping probability greater than recombination probability. (III) Localized transitions OTOR model. The system of differential equations of each case model were solved analytically using the Lambert $W$ function (or equivalently the Wright $ω$ function). Then the resulted analytical expressions of TL intensity as a function of temperature were used to derive new PSM. The new PSM from all cases are formally exactly the same, having, however, strong differentiation in their coefficients. The functionality of the new expressions is tested and its comparison with pre-existing PSM is performed.

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基于一阱一重组中心物理模型的非经验峰形方法。

任何实验性热释光（TL）辉光峰都包含绝缘材料带隙内相应能级的活化能信息。峰形方法（PSM）理论假定 TL 峰下的面积可以用三角形的面积来近似表示，从而将单个 TL 峰的宏观几何特征与产生 TL 峰的能级的活化能联系起来。这样，几何特征就成了活化能的量度。在本研究中，我们推导出了新的 PSM 表达式，它与现有的表达式不同，而是基于一个陷阱一个重组（OTOR）中心的物理模型。本文考虑了三种情况。(I) 重新俘获概率小于重组概率的去局部 OTOR。(II) 再捕获概率大于重组概率的局部 OTOR。(III) 局部过渡 OTOR 模型。利用兰伯特 W 函数（或等价于赖特 ω 函数）对每种情况模型的微分方程系统进行解析求解。然后，利用所得到的 TL 强度随温度变化的解析表达式推导出新的 PSM。所有情况下的新 PSM 在形式上完全相同，但在系数上有很大差异。我们对新表达式的功能进行了测试，并将其与已有的 PSM 进行了比较。

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来源期刊

Applied Radiation and Isotopes 工程技术-核科学技术

CiteScore

3.00

自引率

12.50%

发文量

406

审稿时长

13.5 months

期刊介绍： Applied Radiation and Isotopes provides a high quality medium for the publication of substantial, original and scientific and technological papers on the development and peaceful application of nuclear, radiation and radionuclide techniques in chemistry, physics, biochemistry, biology, medicine, security, engineering and in the earth, planetary and environmental sciences, all including dosimetry. Nuclear techniques are defined in the broadest sense and both experimental and theoretical papers are welcome. They include the development and use of α- and β-particles, X-rays and γ-rays, neutrons and other nuclear particles and radiations from all sources, including radionuclides, synchrotron sources, cyclotrons and reactors and from the natural environment. The journal aims to publish papers with significance to an international audience, containing substantial novelty and scientific impact. The Editors reserve the rights to reject, with or without external review, papers that do not meet these criteria. Papers dealing with radiation processing, i.e., where radiation is used to bring about a biological, chemical or physical change in a material, should be directed to our sister journal Radiation Physics and Chemistry.