The purpose of the present work is robust calculation of effective atomic numbers ([Formula: see text]s) for photon, electron, proton, alpha particle and carbon ion interactions through the newly developed software, Phy-X/ZeXTRa (Zeff of materials for X-Type Radiation attenuation). A pool of total mass attenuation and energy absorption coefficients (for photons) and total mass stopping powers (for charged particles) for elements was constructed first. Then, a matrix of interaction cross sections for elements Z = 1-92 was constructed. Finally, effective atomic numbers were calculated for any material by interpolating adjacent cross sections through a linear logarithmic interpolation formula. The results for [Formula: see text] for photon interaction were compared with those calculated through Mayneord's formula, which suggests a single-valued [Formula: see text] for any material for low-energy photons for which photoelectric absorption is the dominant interaction process. The single-valued [Formula: see text] was found to agree well with that obtained by other methods, in the low-energy region. In addition, [Formula: see text] values of various materials of biological interest were compared with those obtained experimentally at 59.54 keV. In general, the agreement between values calculated with Phy-X/ZeXTRa and Auto-Zeff and those measured were satisfactory. A comparison of [Formula: see text] values for photon energy absorption calculated with Phy-X/ZeXTRa and literature values for a nucleotide base, adenine, was made, and the relative difference (RD) in [Formula: see text] between Phy-X/ZeXTRa and literature values was found to be 2% < RD < 11%, at low photon energies (1-100 keV), while it was less than 1% at energies higher than 100 keV. Highest [Formula: see text] values were observed at low photon energies, where photoelectric absorption dominates photon interaction. For electrons, corresponding RD(%) values in [Formula: see text] were found to be in the range 0.4 ≤ RD(%) ≤ 1.7, while for heavy charged particle interactions it was 2.4 ≤ RD(%) ≤ 4.2 for total proton interaction and 0 ≤ RD(%) ≤ 8 for total alpha particle interaction. In view of the importance of [Formula: see text] for identifying and differentiating tissues in diagnostic imaging as well as for estimating accurate dose in radiotherapy and particle-beam therapy, Phy-X/ZeXTRa could be used for fast and accurate calculation of [Formula: see text] in a wide energy range for both photon and charged particle (electrons, protons, alpha particles and C ions) interactions.

中文翻译：

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Phy-X / ZeXTRa：一种软件，用于可靠地计算光子，电子，质子，α粒子和碳离子相互作用的有效原子序数。

本工作的目的是通过新开发的软件Phy-X / ZeXTRa（材料的Zeff）可靠地计算光子，电子，质子，α粒子和碳离子相互作用的有效原子序数（公式）。用于X型辐射衰减）。首先建立元素的总质量衰减和能量吸收系数（对于光子）和总质量停止能力（对于带电粒子）的集合。然后，构建元素Z = 1-92的相互作用截面矩阵。最后，通过线性对数插值公式对相邻截面进行插值，从而计算出任何材料的有效原子序数。将光子相互作用的[公式：参见文本]结果与通过Mayneord公式计算得到的结果进行了比较，对于任何以光电吸收为主要相互作用过程的低能光子材料，这都建议使用单值[公式：参见文本]。发现单值[公式：参见文本]在低能量区域与通过其他方法获得的值非常吻合。另外，将各种具有生物学意义的材料的值与通过实验在59.54 keV下获得的值进行了比较。通常，用Phy-X / ZeXTRa和Auto-Zeff计算的值与测量值之间的一致性令人满意。比较了用Phy-X / ZeXTRa计算的光子能量吸收的[公式：参见文本]值和核苷酸碱基腺嘌呤的文献值，并比较了Phy在[公式：参见文本]中的相对差（RD）。 -X / ZeXTRa，文献值为2％<RD <11％，在低光子能量（1-100 keV）下，而在高于100 keV的能量下，低于1％。在低光子能量下观察到最高的[公式：参见文字]值，其中光吸收占主导地位。对于电子，发现[公式：参见文本]中的相应RD（％）值在0.4≤RD（％）≤1.7的范围内，而对于重带电粒子相互作用，总和为2.4≤RD（％）≤4.2质子相互作用，总α粒子相互作用为0≤RD（％）≤8。鉴于[公式：参见文本]在诊断成像中识别和区分组织以及估计放射治疗和粒子束治疗中的准确剂量的重要性，Phy-X / ZeXTRa可用于快速准确地计算[公式：参见文字]在光子和带电粒子（电子，