Direct and Reciprocal Space Properties of the Generalized Penrose Tiling
M. ChodyƄa, P. Kuczeraa,b and J. Wolnya
aFaculty of Physics and Applied Computer Science, AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland
bLaboratory of Crystallography, ETH Zurich, Switzerland
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We have constructed a generalized Penrose tiling by the cut-and-project method and compared its structure with that of the regular Penrose tiling. We derived the structure factor of the generalized Penrose tiling and applied it to calculate the diffraction pattern of a non-decorated structure.

DOI: 10.12693/APhysPolA.126.442
PACS numbers: 61.44.Br