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

Sayyed M.I.|Awwad Raed R. Abu|Abughazaleh Baha’
한국원자력학회 (Korean Nuclear Society)|2025.12|Nuclear Engineering and Technology|제57권 제12호|DOI 10.1016/j.net.2025.103836

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Mass attenuation coefficientBorate glassesPiecewise power lawEnergy subranges
주제분류원자력공학

초록

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 (R2 ) 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.

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 (R2 ) 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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