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Symmetry Groups and Reticulations of the Hexagonal H Surface

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dc.contributor.authorRobins, Vanessa
dc.contributor.authorRamsden, Stuart
dc.contributor.authorHyde, Stephen
dc.date.accessioned2015-12-13T22:39:09Z
dc.date.available2015-12-13T22:39:09Z
dc.date.issued2004
dc.date.updated2015-12-11T09:47:08Z
dc.description.abstractWe describe a systematic approach to generate nets that arise from decorations of periodic minimal surfaces. Such surfaces are covered by the hyperbolic plane, in the same way that the euclidean plane covers a cylinder. Thus, a symmetric hyperbolic network can be wrapped onto an appropriate minimal surface to obtain a 3D periodic net. This requires symmetries of the hyperbolic net to match the symmetries of the minimal surface. Here, we tabulate all such symmetry groups that are compatible with the H minimal surface.
dc.identifier.issn0378-4371
dc.identifier.urihttp://hdl.handle.net/1885/77655
dc.publisherElsevier
dc.sourcePhysica A: Statistical mechanics and its applications
dc.subjectKeywords: Algorithms; Bonding; Crystal structure; Crystalline materials; Diamonds; Large scale systems; Synthesis (chemical); Zeolites; Frameworks; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups; Surface structure Frameworks; Hyperbolic tilings; Minimal surfaces; Networks; Reticular chemistry; Symmetry groups
dc.titleSymmetry Groups and Reticulations of the Hexagonal H Surface
dc.typeJournal article
local.bibliographicCitation.lastpage180
local.bibliographicCitation.startpage173
local.contributor.affiliationRobins, Vanessa, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRamsden, Stuart, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHyde, Stephen, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidRobins, Vanessa, u9213671
local.contributor.authoruidRamsden, Stuart, u9311731
local.contributor.authoruidHyde, Stephen, u8604415
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020406 - Surfaces and Structural Properties of Condensed Matter
local.identifier.absfor010506 - Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
local.identifier.ariespublicationMigratedxPub6476
local.identifier.citationvolume339
local.identifier.doi10.1016/j.physa.2004.03.053
local.identifier.scopusID2-s2.0-2942609450
local.type.statusPublished Version

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