4.1 Article

Chiral spiral cyclic twins

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INT UNION CRYSTALLOGRAPHY
DOI: 10.1107/S2053273321012237

关键词

chiral; spiral; cyclic twins

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  1. Czech Science Foundation [18-10438S]

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A formula is presented in this paper for generating chiral m-fold multiply twinned two-dimensional point sets with even twin modulus m > 6 from an integer inclination sequence. It particularly discusses the first three non-degenerate cases m = 8, 10, 12, which are connected to the aperiodic crystallography of axial quasicrystals exhibiting octagonal, decagonal, and dodecagonal long-range orientational order and symmetry.
A formula is presented for the generation of chiral m-fold multiply twinned twodimensional point sets of even twin modulus m > 6 from an integer inclination sequence; in particular, it is discussed for the first three non-degenerate cases m = 8, 10, 12, which share a connection to the aperiodic crystallography of axial quasicrystals exhibiting octagonal, decagonal and dodecagonal long-range orientational order and symmetry.

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