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Direct analysis of diffraction by matter
01 Jan 1962-
About: The article was published on 1962-01-01 and is currently open access. It has received 981 citations till now. The article focuses on the topics: Selection (genetic algorithm).
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TL;DR: The uncertainty in structural results for lipid bilayers is being reduced and best current values are provided for bilayers of five lipids.
2,497 citations
Cites result from "Direct analysis of diffraction by m..."
...The Caille ¤ theory [74] also treats £uctuations of the second kind, but it is considerably diierent from the earlier theories [77, 78 ]....
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...Applied to a one-dimensional stack of bilayers, Guinier’s theory of disorder of the second kind is the same as the paracrystalline theory of Hosemann [ 78 ]....
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TL;DR: In this article, a generalized Huggins-Mayer form for the Born repulsive energy is adopted, and the resulting values of the crystal radii agree within 0·05 A with the values obtained in I with the Huggin-Mayers and Pauling forms.
774 citations
TL;DR: In this article, the static scattering intensity distribution I(q) of microemulsions is obtained from a Landau theory, which includes a negative gradient term in the free energy expression.
Abstract: From a Landau theory the static scattering intensity distribution I(q) of microemulsions is obtained. As essential ingredient we have included a negative gradient term in the free energy expression. The form of I(q)∼(a2+c1q2+c2q4)−1 yields for a2>0, c1 0 a single broad scattering peak and a q−4 decay at large q, both properties experimentally observed for a variety of microemulsions containing comparable amounts of water and oil. The peak originates from the modulation in the corresponding space correlation function given by γ(r)=(d/2πr)⋅e−r/ξ⋅sin(2πr/d). It is shown that the scattering intensity relation describes experimental literature data remarkably well, using only three fit parameters.
768 citations
TL;DR: A review of the GISAXS technique, from experimental issues to the theories underlying the data analysis, with a wealth of examples, can be found in this paper, where the authors introduce the notions of particle form factor and interference function, together with the different cases encountered according to the size/shape dispersion.
717 citations
TL;DR: Various aspects of Scherrer-type grain-size analysis are discussed with regard to the characterization of thin films with grazing-incidence scattering methods utilizing area detectors utilize area detectors.
Abstract: A poor divergence value in the paper by Smilgies [J. Appl. Cryst. (2009), 42, 1030–1034] is corrected.
578 citations
Cites background from "Direct analysis of diffraction by m..."
...In principle, such effects have to be separated from the finite size effect by careful spot-breadth analysis as a function of the scattering angle; see Williamson & Hall (1953) for strain fields or Hosemann & Bagchi (1962) for analysis of short-range order....
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