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Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30-50 keV for Nb and Mo elements

机译:Nb和Mo元素在30-50 keV能量范围内的光子的总瑞利散射截面的计算

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The total Rayleigh scattering cross sections are calculated in the energy range of 30-50 keV using the modified relativistic form factors (MRFF), non-relativistic form factors (NFF), and relativistic form factors (RFF). Numerical calculations are made for energies above the K-threshold comparisons, for medium-Z elements (Nb and Mo), primarily at small momentum transfers. The integration range is divided into intervals using a modified formula to take into account the smaller scattering angles. The calculated cross sections based on MRFF, NFF, and RFF are presented and compared with the tabulated theoretical values. It is found that the values calculated using the NFF and RFF are smaller than the tabulated values with a ratio of 3-7%. It is also observed that the smallest total Rayleigh scattering cross section values are obtained using the MRFF.
机译:使用修正的相对论形状因数(MRFF),非相对论形状因数(NFF)和相对论形状因数(RFF)在30-50 keV的能量范围内计算总瑞利散射截面。对于中等K元素(Nb和Mo),主要是在较小的动量传递下,对高于K阈值比较的能量进行了数值计算。考虑到较小的散射角,使用修改后的公式将积分范围划分为间隔。给出了基于MRFF,NFF和RFF计算的横截面,并与列表的理论值进行了比较。发现使用NFF和RFF计算的值小于列表值,比率为3-7%。还观察到,使用MRFF获得最小的总瑞利散射截面值。

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