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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
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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.

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ComputersElectronsEvaluation Studies as TopicFourier AnalysisMathematicsMethodsModels, BiologicalScattering, RadiationTime FactorsComparative StudyJournal Article

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BibTeXRIS

E H Pape. 1974. X-ray small angle scattering. A new deconvolution method for evaluating electron density distributions from small angle scattering diagrams.. https://doi.org/10.1016/s0006-3495(74)85916-3

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