Exact solution of the slit-height correction problem in small-angle X-ray scattering. II. A method for arbitrary slit transmission functions

A numerical method for calculating the slit-height correction function g(t) corresponding to an arbitrary slit transmission function f(t) is presented. As shown in the previous paper [Deutsch & Luban (1978). J. Appl. Cryst. 11, 87-97], the ideal scattered intensity for pinhole collimation can be calculated given g(t) and measured scattered intensities obtained with finite slit-height collimation. The present method is tested in detail for simulated experimental data and for the rectangular transmission function [for which the exact form for g(t) can be calculated]. The calculated results for the pinhole collimation intensity are only slightly less accurate than those obtained with the exact form for g(t), and considerably more accurate than those obtained using Lake's iterative method.