2012
DOI: 10.1107/s0108767312034885
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Analysing Friedel averages and differences

Abstract: Various practical applications of the average (A) and difference (D) of Friedel opposites are described. Techniques based on the resonant‐scattering contribution to Friedel differences are applied to see whether a crystal is centrosymmetric or not, and to determine the point group of the crystal. For the validation of a structural study, plots of Aobs against Amodel, and Dobs against Dmodel are used extensively. Moreover, it is useful to display both plots on the same graph. Intensity measurements on a crystal… Show more

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Cited by 31 publications
(35 citation statements)
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“…The complete absolute configuration of 1 was determined by an X-ray crystallographic study of single crystals of 2-(−)-R-MPA-derivative (5). The crystal structure is shown in Figure 3, and the result is consistent with the absolute configuration (3S, 4R), confirming the previous results obtained by Horeau's and Mosher's methods.…”
supporting
confidence: 83%
“…The complete absolute configuration of 1 was determined by an X-ray crystallographic study of single crystals of 2-(−)-R-MPA-derivative (5). The crystal structure is shown in Figure 3, and the result is consistent with the absolute configuration (3S, 4R), confirming the previous results obtained by Horeau's and Mosher's methods.…”
supporting
confidence: 83%
“…Observed and modelled data were then separated in centric and acentric reflexions. [68][69][70][71][72][73][74][75][76][77] The slopes given by the plots of Dobs (difference for paired observed Friedel reflections) vs. Dsingle (difference for paired Friedel reflections calculated from a single domain model) were in perfect agreement with the Flack parameter issued from the least-square refinement including the racemic twin law, evidencing that those compounds are indeed racemic twins. One must note that crystals observed under polarized light did not evidence macroscopic domains of opposite handedness.…”
Section: Results and Discussion Synthesis And Characterization Of Chimentioning
confidence: 60%
“…We calculated then for each point group Rmerge for |Fobs| 2 , A and D (A and D being the average and the difference of Friedel opposites respectively). [68][69][70][71][72][73][74] There was a clear preference for non-centrosymmetric point groups 3 and 32. Systematic extinctions led to potential R3 and R32 space groups respectively.…”
Section: Results and Discussion Synthesis And Characterization Of Chimentioning
confidence: 99%
“…The Flack parameter converged to a value of 0.1 (2), so it was not possible to distinguish whether the sample was a pure enantiomorph of whatever chirality or whether it was an inversion twin (Flack & Bernardinelli, 2000). This is in agreement with a low value of Friedif stat = 25 (Flack & Bernardinelli, 2008;Parsons et al, 2012). The corresponding assessed standard uncertainty of the Flack parameter (Flack et al, 2006) was 0.29, which is in fair agreement with the refined value.…”
Section: Refinementmentioning
confidence: 69%