The chord length distribution of a triangular rod

A triangular rod (edge length of the basic triangle is a) is considered. Analytic expressions of the chord length distribution density A(l,a) and other structure functions of small-angle scattering are calculated. Applications of A(l,a) in the field of SAS are discussed. The three-dimensional correlation function and the asymptotic behaviour of the SAS intensity I(h) are analyzed. Here, the Kirste–Porod term is missing which correlates with the fact that parallel interfaces do not exist.