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Biophysical Journal 14: 284-294 (1974)
© 1974 the Biophysical Society

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X-Ray Small Angle Scattering

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

E. H. Pape

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.






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Copyright © 1974 by the Biophysical Society.