Stochastic models of dense or hollow nanoparticles and their scattering properties.

摘要: A family of stochastic models disordered particles is proposed, obtained by clipping a Gaussian random field with function that space dependent. Depending on the shape function, dense or hollow can be modelled. General expressions are derived for form factor particles, their average volume and surface area, density surface-area distributions against distance to particle centre. general approximation also introduced, based distributions, which coincides Guinier Porod in limits low high scattering vector magnitude q. The illustrated fitting small-angle X-ray (SAXS) data measured Pt/Ni nanoparticles. SAXS analysis modelling notably capture collapse particles' porosity after being used as oxygen-reduction catalysts.