Radii of gyration and scattering curves of hollow bodies of homogeneous electron density

A general procedure for the calculation of radii of gyration and scattering intensities of hollow triaxial bodies is proposed. By this method, equations for the radii of gyration and the scattering intensities of hollow bodies, i.e. isosceles triangular, rectangular and regular polygonal prisms, elliptic cylinder and ellipsoid, are obtained. Existing models are expressed as the limited case of present results. The scattering curves of regular polygonal prisms of more than six sides are practically the same as that of a column. The curves have a tendency to become less undulant according to the decrease in isotropy of the body shape and the size of the hollow.