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Philosophical Magazine Volume 86, 2006 - Issue 3-5: Proceedings of the 9th International Conference on Quasicrystals, 22–26 May 2005, Part 1. Guest Editors: Cynthia J. Jenks, Daniel J. Sordelet and Patricia Thiel
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Original Articles

Decorated 2D quasicrystals: structure factor for clusters and average Patterson analysis

J. Wolny Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, PolandCorrespondence[email protected]
,
B. Kozakowski Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, Poland
&
A. DĄbrowska Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, Poland
Pages 637-643 | Received 14 May 2005, Accepted 10 Jul 2005, Published online: 21 Aug 2006
 
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Abstract

Covering the two-dimensional Penrose atomic structure with different kite clusters consisting of four, seven and 17 atoms is discussed. These clusters are compared to the well-known 33-atom Gummelt's cluster. The number and concentrations of different atoms decorating the clusters were found. An analytical formula for the structure factor of decorated clusters was derived by a statistical approach.

Acknowledgement

The authors would like to acknowledge the State Committee of Scientific Research for financial support.

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