任意形状多样品的中子吸收校正与平均路径长度计算——在NIST多轴晶体谱仪上高吸收样品的应用
Neutron absorption correction and mean path length calculations for multiple samples with arbitrary shapes -- applications to highly absorbing samples on the Multi-Axis Crystal Spectrometer at NIST
AI总结:
本文检验并扩展了Wunch和Prewitt的有限体积吸收校正算法,将其应用于NIST多轴晶体谱仪上CeRhIn$_{5}$的中子非弹性散射测量,实现了多样品角度依赖吸收校正与实验规划。
摘要:
本文检验了Wunch和Prewitt开发的用于吸收校正的有限体积算法。该算法基于透射函数的数值积分,其中三维二次曲面定义了样品边界。该算法也可计算二级消光计算所需的平均路径长度。我们将此方法应用于使用NIST的多轴晶体谱仪(MACS)对CeRhIn$_{5}$进行的中子非弹性散射测量。该算法已被扩展以校正多个共线样品的吸收。我们证明该程序能够解释角度依赖的吸收,且该技术可用于校正数据和规划实验。
英文摘要:
The finite volume algorithm for absorption correction developed by Wunch and Prewitt is examined. This algorithm is based on the numerical integration of the transmission function where three-dimensional quadratic surfaces define the sample boundaries. The algorithm can also calculate the mean path length required for second-extinction calculations. We apply this method to the neutron inelastic scattering measurements of CeRhIn$_{5}$ using the Multi-Axis Crystal Spectrometer (MACS) at NIST. The algorithm has been expanded to correct the absorption of multiple coaligned samples. We show that this procedure can account for the angular-dependent absorption, and the technique can be used to correct data and plan experiments.
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