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A New Fourier Refinement Technique

Abstract

IT has been shown by Cochran1 that the ordinary process of Fourier refinement, used in X-ray structure analysis, is equivalent to minimizing the function : where f is f (h,k,l), the mean atomic scattering factor for the (h,k,l) plane ; F0 is F0 (h,k,l), the observed structure factor ; and Fc is Fc(h,k,l), the calculated structure factor.

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References

  • Cochran, W. (private communication).

  • Booth, A. D., Nature, 160, 196 (1947); J. Chem. Phys., 15, 415 (1947).

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  • Booth, A. D., "An Application of the Method of Steepest Descents" (privately circulated, 1947).

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BOOTH, A. A New Fourier Refinement Technique. Nature 161, 765–766 (1948). https://doi.org/10.1038/161765b0

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