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Entropy 2012, 14(5), 856-864; doi:10.3390/e14050856

A Comment on the Relation between Diffraction and Entropy

1 Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany 2 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
(This article belongs to the Special Issue Concepts of Entropy and Their Applications)
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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 entropy; diffraction; homometry
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baake, M.; Grimm, U. A Comment on the Relation between Diffraction and Entropy. Entropy 2012, 14, 856-864.

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