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A Comment on the Relation between Diffraction and Entropy
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany
Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK
* Author to whom correspondence should be addressed.
Received: 26 March 2012 / Accepted: 29 April 2012 / Published: 7 May 2012
Abstract: Diffraction methods are used to detect atomic order in solids. While uniquely ergodic systems with pure point diffraction have zero entropy, the relation between diffraction and entropy is not as straightforward in general. In particular, there exist families of homometric systems, which are systems sharing the same diffraction, with varying entropy. We summarise the present state of understanding by several characteristic examples.
Keywords: entropy; diffraction; homometry
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MDPI and ACS Style
Baake, M.; Grimm, U. A Comment on the Relation between Diffraction and Entropy. Entropy 2012, 14, 856-864.
Baake M, Grimm U. A Comment on the Relation between Diffraction and Entropy. Entropy. 2012; 14(5):856-864.
Baake, Michael; Grimm, Uwe. 2012. "A Comment on the Relation between Diffraction and Entropy." Entropy 14, no. 5: 856-864.