Determination of the correlation function directly from slit-smeared small-angle X-ray scattering curves

A simple technique has been developed for calculating the correlation function directly from small-angle X-ray scattering curves obtained with an `infinitely long' primary beam profile. The method is based on expanding the correlation function in a series of zero-order Bessel functions of the first kind, where the coefficients of the series are proportional to the intensities of the measured curve. The correlation function thus is represented by an analytical expression and can be calculated easily.