research papers
The experimentally determined small-angle X-ray scattering curve is approximated by a Fourier series. For smoothing the scattering curve a limit for the correlation range of the difference of the electron density from the average is presupposed. The smoothing, the correction of the slit width error by deconvolution and the differentiation for the correction of slit height error are carried out with the Fourier coefficients. The smeared scattering curve is reconstructed by Fourier synthesis. The method makes it possible to correct scattering curves with random and no-random errors working with digital computers in on-line or off-line technique.