Absorption and weighted path lengths in cylinders and spheres

Absorption and weighted path lengths in cylinders and spheres
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圆柱体和球体中的吸收和加权路径长度

DOI:
10.1107/s0108767397012531
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发表时间:
1998
期刊:
Acta Crystallographica Section A Foundations of Crystallography
影响因子:
--
通讯作者:
Larsen
Larsen
中科院分区:
--
文献类型:
--
作者:
Thorkildsen;Larsen

文献摘要

被引文献

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利用Takagi方程的边值格林函数技术,可以将柱体和球体中的法向吸收因子和加权路径长度作为定义良好的函数的角坐标中的二重积分来计算。所得结果易于数值计算实现。这两种晶体几何形状的精确解析表达式都是在Bragg角(oh- >0°)和(oh- >90°)的极限中找到的。
By using the boundary-value Green-function technique for the Takagi equations, it is possible to calculate the normal absorption factor and weighted path length in cylinders and spheres as double integrals in angular coordinates of well defined functions. The results are easy to implement for numerical computations. Exact analytical expressions for both crystal geometries are found in the limits of the Bragg angle theta oh-->0 degree and theta oh-->90 degrees.