Abstract
For a dilute polydisperse system in small-angle X-ray scattering (SAXS), Guinier’s law can be used to perform an approximate analysis to determine the mean radius of gyration of scatterers in a sample and extend the scattering curve to the lower angle region. The main idea of the law is that the Guinier plot appears linear in the vicinity of the scattering vector equaling zero. In this short contribution, a differential method is proposed to uniquely determine the upper limit of the effective range of the Guinier approximation on dilute polydisperse systems. The theoretical simulation is mainly performed on the typical spherical scatterers in several dilute polydisperse systems to explore the relationship between the upper limit and the shape and size of the scatterers. The SAXS experiment on a sample of silicon dioxide colloid is carried out to verify the feasibility of the new method.
Published Version
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