Abstract
The diffraction pattern from the recently reported aperiodic 'einstein', or 'hat', monohedral tiling [Smith et al. (2023). arXiv:2303.10798v1] has been analyzed. The structure is the hexagonal mta net, a kite tiling, with aperiodic vertex deletions. A large model's diffraction pattern displays a robust sixfold periodicity in plane group p6. A repeating, roughly triangular motif of 'diffused intensity' arises between the strongest Bragg peaks. The motif contains high-density regions of discrete 'satellite' peaks, rather than continuous 'diffuse scattering', breaking mirror symmetry, consistent with the chiral hat tiling.
Original language | English (US) |
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Pages (from-to) | 72-78 |
Number of pages | 7 |
Journal | Acta Crystallographica Section A: Foundations and Advances |
Volume | 80 |
Issue number | 1 Pt |
DOIs | |
State | Published - Jan 1 2024 |
Keywords
- hat monotiling
- quasicrystalline tiling
- quasiperiodic diffraction
ASJC Scopus subject areas
- Structural Biology
- Biochemistry
- General Materials Science
- Condensed Matter Physics
- Physical and Theoretical Chemistry
- Inorganic Chemistry