Abstract
THE ordering of matter in amorphous materials can be characterized by a radial distribution function of density 4πr2ρ(r), and a difference radial distribution function 4πr2(ρ(r) − ρ0). The latter is obtained1 from experimental scattering data I(s) by the Fourier inversion: 
where s = 2sin½β/λ, β is the scattering angle, and f is the atomic scattering factor. f is a smoothly decreasing function of s and the quantity to be inverted is the ratio of the ripple of I(s) about f2(s), to the smooth curve f2(s).
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References
For example, Guinier, A., X-Ray Diffraction in Crystals, Imperfect Crystals and Amorphous Bodies (Freeman, London, 1963).
Grigson, C. W. B., J. Electronics and Control, 12, 209 (1962).
Denbigh, P. N., and Grigson, C. W. B., J. Sci. Inst., 42, 305 (1965).
Tompsett, M. F., and Grigson, C. W. B., Nature, 206, 923 (1965).
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GRIGSON, C., TOMPSETT, M. Determination of Radial Distribution Functions by Elastic Electron Diffraction. Nature 210, 86–87 (1966). https://doi.org/10.1038/210086a0
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DOI: https://doi.org/10.1038/210086a0
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