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- W4234754910 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, <m:math xmlns:m=http://www.w3.org/1998/Math/MathML display=block> <m:mrow> <m:msubsup> <m:mi>σ</m:mi> <m:mi>L</m:mi> <m:mn>2</m:mn> </m:msubsup> <m:mo>,</m:mo> </m:mrow> </m:math> $sigma _L^2,$ 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." @default.
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- W4234754910 date "2014-12-23" @default.
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- W4234754910 title "Hexagonal paracrystals" @default.
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- W4234754910 doi "https://doi.org/10.1515/zkri-2014-1732" @default.
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