Isogonal piecewise linear embeddings of 1-periodic weaves and some related structures

Michael O'Keeffe; Michael M.J. Treacy

doi:10.1107/S2053273321000218

Isogonal piecewise linear embeddings of 1-periodic weaves and some related structures

Michael O'Keeffe, Michael M.J. Treacy

Physics

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

4 Scopus citations

Abstract

Crystallographic descriptions of isogonal piecewise linear embeddings of 1-periodic weaves and links (chains) are presented. These are composed of straight segments (sticks) that meet at corners (2-valent vertices). Descriptions are also given of some plaits-woven periodic bands, three simple periodic knots and isogonal interwoven rods.

Original language	English (US)
Pages (from-to)	130-137
Number of pages	8
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	77
DOIs	https://doi.org/10.1107/S2053273321000218
State	Published - May 1 2021

Keywords

1-periodic structures
Chains
Links
Polycatenanes
Weaves

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/S2053273321000218

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abstract = "Crystallographic descriptions of isogonal piecewise linear embeddings of 1-periodic weaves and links (chains) are presented. These are composed of straight segments (sticks) that meet at corners (2-valent vertices). Descriptions are also given of some plaits-woven periodic bands, three simple periodic knots and isogonal interwoven rods. ",

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AB - Crystallographic descriptions of isogonal piecewise linear embeddings of 1-periodic weaves and links (chains) are presented. These are composed of straight segments (sticks) that meet at corners (2-valent vertices). Descriptions are also given of some plaits-woven periodic bands, three simple periodic knots and isogonal interwoven rods.

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KW - Chains

KW - Links

KW - Polycatenanes

KW - Weaves

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JO - Acta Crystallographica Section A: Foundations and Advances

JF - Acta Crystallographica Section A: Foundations and Advances

ER -

Isogonal piecewise linear embeddings of 1-periodic weaves and some related structures

Abstract

Keywords

ASJC Scopus subject areas

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