The small‐angle scattering structure functions of the single tetrahedron

Basic properties of the SAS correlation function γ ( r ) and related functions are represented for a tetrahedron of edge length a . An interval splitting into four basic r ‐intervals in a sequence of cases for averaging the intersection volume between two tetrahedrons has been performed. Remarkably simple analytic expressions result in the first r ‐interval. Indeed, γ ( r ) is a polynomial of degree three. The coefficients are given explicitly. The asymptotic expansion I( h ) is compared with the exact scattering intensity I ( h ).