ALUMINA- X-Ray Analysis; MATHEMATICAL TRANSFORMATIONS - Fourier Transforms; SILICA - X-Ray Analysis; X-RAYS - Scattering; SMALL-ANGLE X-RAY SCATTERING; VORONOI CELL MODELS
Small-angle X-ray scattering (SAXS) can be used to obtain interphase surface areas of a system, such as a supported-metal catalyst, composed of internally homogeneous phases with sharp interphase boundaries. Measurements of SAXS for samples of porous silica, alumina, platinum on silica, and platinum on alumina are reported. A variety of models and forms for the correlation function, the Fourier transform of which gives the X-ray scattering, are considered, and theoretical and measured intensities are compared. A criterion of fit for comparing models with different numbers of parameters is proposed. It is shown that values for the single interphase surface area can be obtained independently of a model. However, fitting intensities using a model-based correlation function gives information about the structure of the system. The two-cell-size Voronoi and the correlated Voronoi cell models are useful in this regard.
Brumberger, H., Delaglio, F., Goodisman, J., & Whitfield, M. (1986). SMALL-ANGLE X-RAY SCATTERING ANALYSIS OF CATALYSTS: COMPARISON AND EVALUATION OF MODELS. Journal of Applied Crystallography, 19(pt 5), 287-299.
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