Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1974 Apr;14(4):284–294. doi: 10.1016/S0006-3495(74)85916-3

X-Ray Small Angle Scattering

A New Deconvolution Method for Evaluating Electron Density Distributions from Small Angle Scattering Diagrams

E H Pape
PMCID: PMC1334508  PMID: 4830467

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 Qo-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.

Full text

PDF
284

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Blaurock A. E., Worthington C. R. Treatment of low angle x-ray data from planar and concentric multilayered structures. Biophys J. 1966 May;6(3):305–312. doi: 10.1016/S0006-3495(66)86658-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Lesslauer W., Blasie J. K. Direct determination of the structure of barium stearate multilayers by x-ray diffraction. Biophys J. 1972 Feb;12(2):175–190. doi: 10.1016/S0006-3495(72)86078-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Lesslauer W., Cain J., Blasie J. K. On the location of I-anilino-8-naphthalene-sulfonate in lipid model systems. An x-ray diffraction study. Biochim Biophys Acta. 1971 Aug 13;241(2):547–566. doi: 10.1016/0005-2736(71)90054-x. [DOI] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES