Pinwheel patterns and powder diffraction

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dc.creatorBaake, Michael
dc.creatorFrettlöh, Dirk
dc.creatorGrimm, Uwe
dc.date2006-10-06
dc.date.accessioned2026-07-07T08:55:08Z
dc.date.available2026-07-07T08:55:08Z
dc.descriptionPinwheel patterns and their higher dimensional generalisations display continuous circular or spherical symmetries in spite of being perfectly ordered. The same symmetries show up in the corresponding diffraction images. Interestingly, they also arise from amorphous systems, and also from regular crystals when investigated by powder diffraction. We present first steps and results towards a general frame to investigate such systems, with emphasis on statistical properties that are helpful to understand and compare the diffraction images. We concentrate on properties that are accessible via an alternative substitution rule for the pinwheel tiling, based on two different prototiles. Due to striking similarities, we compare our results with the toy model for the powder diffraction of the square lattice.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0610012
dc.identifierhttp://arxiv.org/abs/math-ph/0610012
dc.identifierPhilos. Mag. 87 (2007) 2831 - 2838
dc.identifierdoi:10.1080/14786430601057953
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146177
dc.subjectMathematical Physics
dc.subject52C23
dc.titlePinwheel patterns and powder diffraction
dc.typetext

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