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