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Towards enumeration of crystalline frameworks: the 2D hyperbolic approach

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Date

2006

Authors

Hyde, Stephen
Delgado Friedrichs, Olaf
Ramsden, Stuart
Robins, Vanessa

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

Crystalline frameworks in 3D Euclidean space can be constructed by projecting tilings of 2D hyperbolic space onto three-periodic minimal surfaces, giving surface reticulations. The technique involves Delaney-Dress tiling theory, group theory, differential and non-Euclidean geometry. Preliminary results of this approach, found at http://epinet.anu.edu.au, are discussed and compared with other approaches. Crown

Description

Keywords

Keywords: Geometry; Solid state physics; Tile; Frameworks; Group theory; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups; Crystalline materials Frameworks; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups

Citation

URI

http://hdl.handle.net/1885/85102

Collections

ANU Research Publications

Source

Solid State Sciences

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.solidstatesciences.2006.04.001

Restricted until

2037-12-31

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01_Hyde_Towards_enumeration_of_2006.pdf (1.05 MB)

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