Small angle scattering model for Pickering emulsions and raspberry particles

Pickering emulsions, raspberry particles and other colloidal particle complexes are often characterized using small angle scattering techniques. The present work derives an analytical scattering model that accounts for the self-correlation of a spherical core and surface adsorbed particles as well as the particle-particle and core-particle correlation terms characteristic of Pickering emulsions and raspberry particles. It is shown that contrast matching of the scattering length density is not essential to obtain meaningful information as long as the scattering contrasts of all phases are precisely known. The derived equations are useful for analyzing data and planning experiments for Small Angle Neutron Scattering (SANS) and Small Angle X-ray Scattering (SAXS) involving these colloidal systems.