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Small-angle X-ray scattering data were obtained and analyzed from two hydrous ThO2 sols having differing size distributions of particles. Both the experimental and slit-height-corrected scattering data were employed for analysis. The five independent scattering parameters thus obtained were analyzed in terms of the moments of the size distributions. These data were then converted to size distributions of log normal form. Excellent agreement of these derived size distributions with direct electron-microscopic results could be obtained. An indirect method for the experimental determination of the X-ray transmission by such solutions is also given.