Absorption corrections for neutron diffraction
Absorption corrections for neutron diffraction
复制标题
中子衍射的吸收校正
DOI：
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发表时间：
1970
期刊：
影响因子：
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通讯作者：
A. Chakera
中科院分区：
文献类型：
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作者：
K. Rouse;M. J. Cooper;E. York;A. Chakera
本文用数值积分法计算了圆柱形和球形晶体的吸收修正，其中μR在0 ~ 1.0范围内，μ是平均线性吸收系数，R是晶体的半径。对于中子衍射数据通常所需的μR范围，从现有表格中进行插值是不能令人满意的。传输系数Ahkl作为μ兰德sin 2 θ的函数列在表格中，精确到小数点后四位。为制表选择的间隔使得线性插值可用于中间值。文中还给出了在较低精度时计算透射系数的解析表达式。
Absorption corrections for cylindrical and spherical crystals have been evaluated by numerical integration for values of μR in the range 0 to 1.0, where μ is the mean linear absorption coefficient and R is the radius of the crystal. For this range of μR, which is that normally required for neutron diffraction data, interpolation from existing tables is unsatisfactory. The transmission factor Ahkl is tabulated as a function of μRand sin2θ, accurate to four decimal places. The intervals chosen for the tabulation are such that linear interpolation may be used for intermediate values. Analytical expressions, which may be used for calculating the transmission factor when a lower accuracy is acceptable, are also given.