This study investigates the mechanical as well as shielding properties of 70PO–5AlO-(25-x)NaO-xPbO, while using advanced MCNPX simulations code and Phy-X software. Advanced MCNPX coding simulation and online Phy-X software are used to compare the properties of three aluminum lead phosphate glasses named S1, S2 and S3 with PbO concentrations 0, 10, and 20 mol%, respectively. Various shielding parameters were calculated in the photon energy ranging from 0 to 15 MeV. These parameters include mass attenuation coefficient, effective atomic number, half-value layer, tenth-value layer, mean free path and linear attenuation coefficient. Our comparative analysis of the results from MCNPX and Phy-X in the case of mass attenuation coefficient indicates a high level of agreement, differing by less than 2% from each other. The half-value layer for S3 was found at 0.003 cm, 1.709 cm, and 5.984 cm at energies of 0.01 MeV, 0.5 MeV, and 15 MeV, respectively, while for S1 these values were found at 0.010 cm, 3.35 cm, and 13.96 cm in the same energy spectra. The results show that S3, with 20% PbO, is more likely to attenuate the gamma and X-ray photons; due to their minimum values of tenth value layer, half value layer, mean free path, and greater mass attenuation coefficient, effective atomic number as compared to S1 (undoped) and S2 (10% doped with PbO). The mass attenuation coefficient for S3 was found between 67.95 cm/g to 0.030 cm/g, while for undoped S1, these values varied between 27.64 cm/g to 0.021 cm/g in the energy range of 0–15 MeV. Furthermore, the Makishima-Mackenzie model is utilized to evaluate the mechanical behavior of our glass samples, influenced by factors such as energy of dissociation and packing density related to components of oxide. The mechanical features encompass various moduli, Poisson's coefficient and microhardness. The introduction of PbO in glass samples S2 and S3 increased all these properties, excluding Poisson's coefficient which decreases with the addition of PbO. Our findings provide valuable insights into the shielding and mechanical parameters of these glasses, suggesting probable applications in fields such as optics and nuclear physics.

中文翻译：

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PbO 对 70P2O3–5Al2O3–25Na2O 玻璃体系机械和辐射屏蔽性能的影响：理论研究

本研究使用先进的 MCNPX 模拟代码和 Phy-X 软件研究了 70PO–5Al2O-(25-x)NaO-xPbO 的机械和屏蔽性能。使用先进的 MCNPX 编码模拟和在线 Phy-X 软件比较了 PbO 浓度分别为 0、10 和 20 mol% 的三种磷酸铝铅玻璃 S1、S2 和 S3 的性能。计算了光子能量范围从0到15 MeV的各种屏蔽参数。这些参数包括质量衰减系数、有效原子序数、半值层、十值层、平均自由程和线性衰减系数。我们对 MCNPX 和 Phy-X 在质量衰减系数情况下的结果进行了比较分析，结果表明高度一致，彼此之间的差异不到 2%。在能量为 0.01 MeV、0.5 MeV 和 15 MeV 时，S3 的半值层分别位于 0.003 cm、1.709 cm 和 5.984 cm，而 S1 的半值层分别位于 0.010 cm、3.35 cm 和 13.96 cm。 cm 在相同的能谱中。结果表明，含有20% PbO的S3更容易衰减伽马和X射线光子；由于与 S1（未掺杂）和 S2（10% 掺杂 PbO）相比，它们的第十值层、半值层、平均自由程和更大的质量衰减系数、有效原子序数具有最小值。 S3 的质量衰减系数在 67.95 cm/g 至 0.030 cm/g 之间，而对于未掺杂的 S1，这些值在 0–15 MeV 的能量范围内变化在 27.64 cm/g 至 0.021 cm/g 之间。此外，Makishima-Mackenzie 模型用于评估玻璃样品的机械行为，该行为受到解离能和与氧化物成分相关的堆积密度等因素的影响。机械特征包括各种模量、泊松系数和显微硬度。在玻璃样品 S2 和 S3 中引入 PbO 提高了所有这些性能，但不包括随着 PbO 的添加而降低的泊松系数。我们的研究结果为这些玻璃的屏蔽和机械参数提供了宝贵的见解，表明其在光学和核物理等领域的可能应用。