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The known refractive index of 1.37 of the 6.84 μm diameter core sphere was used without adjustment in Mie calculations for coated spheres. The best fit to the data was obtained with a shell refractive index of 1.846 and an outer sphere diameter of 7.746 μm. The fitted coating size is consistent with the experimentally measured diameter of 7.66±0.11 μm, as determined by SEM images of similar samples and the experimental results from spectroscopic ellipsometry, which show that the index of refraction varies from 1.82 to 1.83 over the wavelength range of 600 to 700 nm. The refractive index (approx. 0.14 greater relative to a similar film without NCs) is consistent with the incorporation of a large (14.8 %) volume fraction of nanocrystals into the titania matrix. Note that the SEM results reveal that the sphere coating is thicker than the substrate film, perhaps due to the surface tension of the liquid sol surrounding the sphere core upon spin-casting. Differences in the fitted and measured values for the refractive index are likely due to the dependence of the index on the volume fraction of CdSe in the matrix, which varies from sample to sample.
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