Optical scattering in glass-ceramics.
Résumé
The transparency of glass-ceramics with nanocrystals is generally higher than that expected from the theory of Rayleigh scattering. We attribute this ultra-transparency to the spatial correlation of the nanoparticles. The structure factor is calculated for a simple model system, the random sequential addition (RSA) of equal spheres, at different volume filling factor. The spatial correlation given by the constraint that particles cannot superimpose produces a diffraction peak with a low S(q) in its low-q tail, which is relevant for light scattering. The physical mechanism producing high transparency in glass-ceramics is demonstrated to be the low density fluctuation in the number of scatterers. The addition of a size distribution of the spherical particles produces important changes in the q-dependence of the scattering intensity in the region of the diffraction peak, but it has minor effects on the low-q tail.
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