Crystallographic descriptions of regular 2-periodic weavings of threads, loops and nets

O'Keeffe Michael; Michael M.J. Treacy

doi:10.1107/S2053273320001278

Crystallographic descriptions of regular 2-periodic weavings of threads, loops and nets

O'Keeffe Michael, Michael M.J. Treacy

Physics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Piecewise linear descriptions are presented of weavings of threads, loops and 2-periodic nets. Crystallographic data are provided for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets, and tetragonal and hexagonal polycatenanes.

Original language	English (US)
Pages (from-to)	110-120
Number of pages	11
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	76
DOIs	https://doi.org/10.1107/S2053273320001278
State	Published - Mar 1 2020

Keywords

2-periodic weavings
Loops
Nets
Regular structures
Threads

ASJC Scopus subject areas

Structural Biology
Biochemistry
Materials Science(all)
Condensed Matter Physics
Physical and Theoretical Chemistry
Inorganic Chemistry

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10.1107/S2053273320001278

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abstract = "Piecewise linear descriptions are presented of weavings of threads, loops and 2-periodic nets. Crystallographic data are provided for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets, and tetragonal and hexagonal polycatenanes.",

keywords = "2-periodic weavings, Loops, Nets, Regular structures, Threads",

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AU - Treacy, Michael M.J.

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N2 - Piecewise linear descriptions are presented of weavings of threads, loops and 2-periodic nets. Crystallographic data are provided for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets, and tetragonal and hexagonal polycatenanes.

AB - Piecewise linear descriptions are presented of weavings of threads, loops and 2-periodic nets. Crystallographic data are provided for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets, and tetragonal and hexagonal polycatenanes.

KW - 2-periodic weavings

KW - Loops

KW - Nets

KW - Regular structures

KW - Threads

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Crystallographic descriptions of regular 2-periodic weavings of threads, loops and nets

Abstract

Keywords

ASJC Scopus subject areas

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