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- Title
Hexagonal paracrystals.
- Authors
Welberry, Thomas Richard
- Abstract
Spatially interacting Gaussian random variables arranged on a hexagonal lattice are used to construct examples of hexagonal paracrystals. As for previously described paracrystals on a square lattice the distributions may be specified by a variance, defining the magnitude of the displacement away from the underlying perfect lattice together with parameters defining transverse and longitudinal correlations ( ρ T and ρ L) between neighbouring displacements. A strong longitudinal correlation indicates a small variation from cell to cell in the length of the cell edge whereas a strong transverse correlation indicates a small variation in the cell edge direction. For values of σ L>∼0.30 of the unit cell spacing the diffraction patterns contain diffuse peaks only with no evidence of Bragg peaks arising from the underlying regular lattice.
- Subjects
GAUSSIAN distribution; CRYSTAL lattices; THERMAL properties of crystals; ATOMIC displacements; TRANSVERSE electromagnetic cells
- Publication
Zeitschrift für Kristallographie. Crystalline Materials, 2015, Vol 230, Issue 1, p69
- ISSN
2194-4946
- Publication type
Article
- DOI
10.1515/zkri-2014-1732