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Dresden 2009 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 40: Quasicrystals I

MM 40.2: Talk

Thursday, March 26, 2009, 10:30–10:45, IFW D

Can Kinematic Diffraction Distinguish Order from Disorder?Michael Baake1 and •Uwe Grimm21Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany — 2Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK

Diffraction methods are at the heart of structure determination of solids. While Bragg-like scattering (pure point diffraction) is a characteristic feature of crystals and quasicrystals, it is not straightforward to interpret continuous diffraction intensities, which are generally linked to the presence of disorder. However, based on simple model systems, we demonstrate that it may be impossible to draw conclusions on the degree of order in the system from its diffraction image. In particular, we construct a family of one-dimensional binary systems which cover the entire entropy range but still share the same purely diffuse diffraction spectrum.

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