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X射线小角散射。一种用于从小角散射图评估电子密度分布的新去卷积方法。

X-ray small angle scattering. A new deconvolution method for evaluating electron density distributions from small angle scattering diagrams.

作者信息

Pape E H

出版信息

Biophys J. 1974 Apr;14(4):284-94. doi: 10.1016/S0006-3495(74)85916-3.

DOI:10.1016/S0006-3495(74)85916-3
PMID:4830467
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1334508/
Abstract

The direct determination of the electron density distributions of multilayered specimens with a small number of unit cells from X-ray small angle scattering experiments via the Q-function method of Hosemann and Bagchi includes the deconvolution of the so-called Q(o)-function, the generalized Patterson function of one unit cell. In this paper a new and direct deconvolution method on the basis of Fourier series is presented which is suitable for one-dimensional centrosymmetrical (or antisymmetrical) density distributions. A FORTRAN-program has been written which has an execution time of ca. 20 s on an UNIVAC 1106-computer. The procedure has been successfully tested on some convolution functions generated by membrane-type electron density distributions.

摘要

通过霍斯曼和巴吉的Q函数法，利用X射线小角散射实验直接测定具有少量晶胞的多层样品的电子密度分布，这包括对所谓的Q(o)函数（即一个晶胞的广义帕特森函数）进行去卷积。本文提出了一种基于傅里叶级数的新的直接去卷积方法，该方法适用于一维中心对称（或反对称）密度分布。已经编写了一个FORTRAN程序，在UNIVAC 1106计算机上的执行时间约为20秒。该程序已在一些由膜型电子密度分布生成的卷积函数上成功测试。

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本文引用的文献

1
Treatment of low angle x-ray data from planar and concentric multilayered structures.平面和同心多层结构低角度X射线数据的处理。
Biophys J. 1966 May;6(3):305-12. doi: 10.1016/S0006-3495(66)86658-4.
2
On the location of I-anilino-8-naphthalene-sulfonate in lipid model systems. An x-ray diffraction study.关于1-苯胺基-8-萘磺酸盐在脂质模型系统中的位置。一项X射线衍射研究。
Biochim Biophys Acta. 1971 Aug 13;241(2):547-66. doi: 10.1016/0005-2736(71)90054-x.
3
Direct determination of the structure of barium stearate multilayers by x-ray diffraction.通过X射线衍射直接测定硬脂酸钡多层膜的结构。
Biophys J. 1972 Feb;12(2):175-90. doi: 10.1016/S0006-3495(72)86078-8.