Determination of the structure factor for concentrated silica dispersions using small angle x-ray scattering I. Simulation

The structure factor of a concentrated colloidal suspension is an important means in the characterization of the interaction forces between the colloidal particles. It can, in principle, be determined with small angle x-ray scattering. To avoid unacceptably long measuring times, one has to use a high power x-ray source or a slit collimation camera. The first is not readily accessible because of the very high costs. The latter is available in many laboratories, but here the fundamental information is contained in the data in a complicated way. A so-called desmearing operation is needed to reveal this information. Because of the different experimental errors and their sensitivity to the desmearing, the accuracy of the structure factor will be rather limited. In this paper we simulate the experimental errors separately to check their influence in combination with the desmearing.Although the overall accuracy is limited some important features can be determined. The value atK=0 and thus the osmotic compressibility can be calculated, and the position and the height of the first maximum in the structure factor are quite reliable too. This gives some insight in the type of interaction and the influence of polydispersity.Special attention should be given to the determination of the form factor by using extra long measuring times for the very diluted sample, this will improve the overall accurary.