The integrals of small-angle scattering and their calculation

Abstract
This article explains a new concept concerning the integrals of SAS and their direct calculation from realistic experiments. Some new synonymous formulas for the calculation of the correlation function and its derivatives are represented. Some relations lead to a minimal truncation error and the error propagation can be investigated exactly. The fundamental idea for this is the "exchange" of the variables r and h with respect to differentiation, followed by an integration by parts. The result is not only one given formula. A table in the end allows the experimenter to select the representation he thinks to be the best one.