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Stimulated luminescence; Analysis of complex signals and fitting of dose response curves using analytical expressions based on the Lambert W function implemented in a commercial spreadsheet
Applied Radiation and Isotopes ( IF 1.6 ) Pub Date : 2021-07-24 , DOI: 10.1016/j.apradiso.2021.109870
P Konstantinidis 1 , S Kioumourtzoglou 1 , G S Polymeris 2 , G Kitis 1
Affiliation  

Thermoluminescence (TL) and optically stimulated luminescence (CW-OSL, LM-OSL) are widely used by the scientific community in different applications. In order for the information of a glow or decay curve to be used correctly, the deconvolution of the corresponding curve is essential. Nowadays, there are plethora of deconvolution methods with none of them being dominant and universal. Recently, researchers created some new analytical equations for the TL, CW-OSL and the LM-OSL phenomena, based on the Lambert W function, with the use of a single master equation, as well as some new dose response curves based on a) the simple One Trap One Recombination (OTOR) model and b) the more complex Two Traps One Recombination (TTOR) model. The main aim of the study is to recreate these five expressions in different Excel spreadsheets, for a more practical use. The first step is the creation of a computational code of the Lambert W function in VBA at Excel. After that aim is achieved, five spreadsheets were created, namely the TL deconvolution, the CW-OSL deconvolution, the LM-OSL deconvolution, the OTOR model Dose response and the TTOR Dose response. In order to run some tests using these spreadsheets, four different sets of experimental data originated from different sources were used each time, with the calculated values being compared to the literature. In the end, the present study provides some notes and discussion about the applications of the newly created deconvolution spreadsheets.



中文翻译:

受激发光;使用基于在商业电子表格中实施的 Lambert W 函数的解析表达式分析复杂信号和拟合剂量反应曲线

热致发光 (TL) 和光受激发光 (CW-OSL、LM-OSL) 被科学界广泛用于不同的应用中。为了正确使用辉光或衰减曲线的信息,相应曲线的解卷积是必不可少的。如今,有大量的反卷积方法,但没有一种是占主导地位和普遍性的。最近,研究人员基于 Lambert W 函数,使用单一的主方程,为 TL、CW-OSL 和 LM-OSL 现象创建了一些新的解析方程,以及一些基于 a) 的新剂量反应曲线简单的一陷阱一重组 (OTOR) 模型和 b) 更复杂的二陷阱一重组 (TTOR) 模型。该研究的主要目的是在不同的 Excel 电子表格中重新创建这五个表达式,以便更实用。第一步是在 Excel 的 VBA 中创建 Lambert W 函数的计算代码。实现该目标后,创建了五个电子表格,即 TL 解卷积、CW-OSL 解卷积、LM-OSL 解卷积、OTOR 模型剂量响应和 TTOR 剂量响应。为了使用这些电子表格进行一些测试,每次都使用来自不同来源的四组不同的实验数据,并将计算值与文献进行比较。最后,本研究提供了一些关于新创建的反卷积电子表格应用的笔记和讨论。LM-OSL 解卷积、OTOR 模型剂量响应和 TTOR 剂量响应。为了使用这些电子表格进行一些测试,每次都使用来自不同来源的四组不同的实验数据,并将计算值与文献进行比较。最后,本研究提供了一些关于新创建的反卷积电子表格应用的笔记和讨论。LM-OSL 解卷积、OTOR 模型剂量响应和 TTOR 剂量响应。为了使用这些电子表格进行一些测试,每次都使用来自不同来源的四组不同的实验数据,并将计算值与文献进行比较。最后,本研究提供了一些关于新创建的反卷积电子表格应用的笔记和讨论。

更新日期:2021-08-10
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