{\bb Z}-module defects in crystals

Sirindil, A.; Quiquandon, M.; Gratias, D.

doi:10.1107/S2053273317013882

Acta Crystallographica Section A
Acta Crystallographica
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Figure 4
(a) Typical two-dimensional example of defining the ASs of a (periodic) structure with two translational orbits w₁ and w₂ represented in $[{\bf E}_\perp]$ with projected lattice $[L_\perp]$ : the ASs are formed by the union of the two Voronoi cells $[\sigma_1]$ and $[\sigma_2]$ (in grey) centred on each of the translation orbits. (b) The union of the Voronoi cells (in light grey) of successive approximants of the octagonal tiling compared with the usual ASs defined by the convex envelopes (in blue) of the four-dimensional unit cell: as the order of the approximant increases the union of the Voronoi cells tends towards the canonical AS of the octagonal tiling.

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ISSN: 2053-2733

Volume 73| Part 6| November 2017| Pages 427-437

https://doi.org/10.1107/S2053273317013882

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