Affiliation:
1. Research School of Chemistry, Australian National University Canberra ACT 2601 Australia
Abstract
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,
σ
L
2
,
$\sigma _L^2,$
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.
Subject
Inorganic Chemistry,Condensed Matter Physics,General Materials Science
Cited by
1 articles.
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