Modeling the mass attenuation coefficient for Lead-Titanium-Zinc borate glasses using a piecewise power law model

IF 2.6 3区工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY

Nuclear Engineering and Technology Pub Date : 2025-08-20 DOI:10.1016/j.net.2025.103836

Raed R. Abu Awwad , Baha’ Abughazaleh , M.I. Sayyed

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Abstract

This paper presents a comprehensive analysis of the mass attenuation coefficient (MAC) for Lead-titanium-zinc borate glasses (ZnPb) using a Piecewise Power Law Model. The MAC data consist of ordered pairs of energy (in MeV) and MAC values for each sample, with n=25 data points per sample. We develop a segmented power law model with five energy subranges, based on dominant photon interaction mechanisms, and a power law model is fitted to each subrange. The performance of the models is evaluated through relative error analysis, the coefficient of determination (R

^{2}

) and the mean squared error (MSE). The data used for model fitting were obtained through XCOM database calculations. The results demonstrate the effectiveness of the power law model in predicting the values of MAC for the investigated glasses across different energy ranges. The results demonstrate composition-dependent accuracy patterns, with mean relative errors ranging from 3.94% for 2.5ZnPb to 7.16% for 10ZnPb.

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采用分段幂律模型对硼酸铅钛锌玻璃的质量衰减系数进行建模

本文采用分段幂律模型对硼酸铅钛锌玻璃（ZnPb）的质量衰减系数进行了综合分析。MAC数据由有序的能量对（以MeV为单位）和每个样本的MAC值组成，每个样本n=25个数据点。基于主导光子相互作用机制，我们建立了一个包含五个能量子域的分段幂律模型，并对每个子域拟合一个幂律模型。通过相对误差分析、决定系数（R2）和均方误差（MSE）来评价模型的性能。模型拟合数据通过XCOM数据库计算得到。结果表明幂律模型在预测所研究玻璃在不同能量范围内的MAC值方面是有效的。结果显示出成分依赖的精度模式，平均相对误差在2.5ZnPb的3.94%到10ZnPb的7.16%之间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Engineering and Technology 工程技术-核科学技术

CiteScore

4.80

自引率

7.40%

发文量

431

审稿时长

3.5 months

期刊介绍： Nuclear Engineering and Technology (NET), an international journal of the Korean Nuclear Society (KNS), publishes peer-reviewed papers on original research, ideas and developments in all areas of the field of nuclear science and technology. NET bimonthly publishes original articles, reviews, and technical notes. The journal is listed in the Science Citation Index Expanded (SCIE) of Thomson Reuters. NET covers all fields for peaceful utilization of nuclear energy and radiation as follows: 1) Reactor Physics 2) Thermal Hydraulics 3) Nuclear Safety 4) Nuclear I&C 5) Nuclear Physics, Fusion, and Laser Technology 6) Nuclear Fuel Cycle and Radioactive Waste Management 7) Nuclear Fuel and Reactor Materials 8) Radiation Application 9) Radiation Protection 10) Nuclear Structural Analysis and Plant Management & Maintenance 11) Nuclear Policy, Economics, and Human Resource Development