Small-Angle X-Ray-Scattering Determination of Diameter Distributions

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Abstract
Test calculations have been carried out to develop a practical method of using small‐angle x‐ray‐scattering data to determine the particle‐diameter distribution in polydisperse suspensions of noninteracting spherical particles. A new method has been developed for extrapolating the scattering curve for scattering angles beyond the largest angles at which data can be obtained. This extrapolation technique is shown to be an improvement over an earlier method [J. H. Letcher and P. W. Schmidt, J. Appl. Phys. 37, 649 (1966)] by being less sensitive to uncertainties in the data and to choices of the constants used in the extrapolation.