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ISSN: 2053-2733

July 2016 issue

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Cover illustration: Understanding the organizational principles governing complex inorganic crystal structures helps the synthetic chemist to compete with nature in the preparation of new materials with desired architectures and properties [Eon, J.-G. (2016). Acta Cryst. A72, 268-293]. A projection of the 3-periodic structure obtained after deleting B and X vertices from garnet A3B2(XO4)3 is shown.

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In coherent diffraction experiments many diffraction images of randomly oriented particles are recorded and assembled into a three-dimensional scattering intensity distribution. In this paper a method is presented to test the consistency of the assembled three-dimensional distribution.

foundations

research papers


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The reflection group W can be specified by a connected Coxeter–Dynkin diagram consisting of either one or two orbits of W. An individual orbit is viewed as the set of vertices of a polytope (root polytope) generated by its W from any one point of the orbit.

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Properties of X-ray resonant scattering in the Bragg case are revealed analytically using the Riemann surface.

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New omit maps are introduced that delete some subvolume of the unit cell without analysing the electron density. Applied as periodic perturbations these significantly improve the stagnating behaviour of alternating-projection-type dual-space algorithms.

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The focusing performances of bent Laue crystals are shown to be strongly sensitive to a small degree of asymmetry.

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A periodic modulation of experimental conditions would affect both intensities and Bragg angles for the diffraction lines. A frequency response (a series of harmonics) has been derived analytically and compared with a simulated modulation experiment.

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