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Towards enumeration of crystalline frameworks: the 2D hyperbolic approach

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

Description

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

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/85102
Source: Solid State Sciences
DOI: 10.1016/j.solidstatesciences.2006.04.001

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