Constraints on pure point diffraction on aperiodic point patterns of finite local complexity*
- 24 January 2022
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 55 (6), 065203
- https://doi.org/10.1088/1751-8121/ac4395
Abstract
We consider the pure point part of the diffraction on families of aperiodic point sets obeying common local rules. It is shown that imposing such rules results in linear constraints on the partial diffraction amplitudes. These relations can be explicitly derived from the geometry of the prototile space representing the local rules.This publication has 19 references indexed in Scilit:
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