Two-dimensional indirect Fourier transformation for evaluation of small-angle scattering data of oriented samples
Two-dimensional indirect Fourier transformation for evaluation of small-angle scattering data of oriented samples
复制标题
用于评估定向样品小角散射数据的二维间接傅立叶变换
DOI：
10.1107/s002188981302150x
复制
发表时间：
2013
影响因子：
6.1
通讯作者：
Gerhard Fritz
中科院分区：
文献类型：
--
作者：
Gerhard Fritz
本文将间接傅里叶变换法推广到二维小角散射场。这允许一个模型的面向结构的实空间功能的调查。实空间函数由二维基函数构建。傅立叶变换的基函数近似的散射图案。这个问题在倒易空间中的解可以用来计算相应的实空间函数。这些实空间函数包含所研究结构的大小、形状、内部结构和方向的信息。在不同方向上定向的结构的信息可以部分分离。该技术的适用性被证明在模拟数据的定向长方体和两个实验数据集的基础上的纳米结构的云杉正常木材。
An extension of the indirect Fourier transformation method for two-dimensional small-angle scattering patterns is presented. This allows for a model-free investigation of real-space functions of oriented structures. The real-space function is built from two-dimensional basis functions. The Fourier transformed basis functions are approximated to the scattering pattern. The solution to this problem in reciprocal space can be used to compute the corresponding real-space functions. These real-space functions contain information on size, shape, internal structure and orientation of the structures studied. Information on structures that are oriented in different distinct directions can be partly separated. The applicability of the technique is demonstrated on simulated data of oriented cuboids and on two experimental data sets based on the nanostructure of spruce normal wood.