title: X-ray small angle scattering. A new deconvolution method for evaluating electron density distributions from small angle scattering diagrams.
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.
mesh_terms: D003201:Computers; D004583:Electrons; D005069:Evaluation Studies as Topic; D005583:Fourier Analysis; D008433:Mathematics; D008722:Methods; D008954:Models, Biological; D012542:Scattering, Radiation; D013997:Time Factors