E. Caponetti et al., ON THE SHAPE OF THE RADIAL-DISTRIBUTION FUNCTION OF AN ASSEMBLY OF MONODISPERSE ELLIPSOIDAL SCATTERERS, Journal of applied crystallography, 26, 1993, pp. 612-615
It is well known that the small-angle scattering pattern of an assembl
y of monodisperse ellipsoidal particles is equivalent to the one obtai
ned from an assembly of polydisperse spherical scatterers. In this pap
er, it is shown that the radial distribution function that one obtains
from a system of monodisperse ellipsoids has a shape very different f
rom that of any common size distribution function (Schulz, Gaussian, r
ectangular,...) usually assumed for polydisperse systems. From a theor
etical point of view, the scattering pattern arising from a system cha
racterized by a small size anisotropy is distinct from that arising fr
om one containing spherical particles with a narrow radii distribution
but, experimentally, such a distinction can be made only when a subst
antial deviation from a monodisperse spherical system is present.