Toroidal Crystals

dc.creatorGiomi, Luca
dc.creatorBowick, Mark J.
dc.date2008-01-23
dc.date.accessioned2026-07-07T09:53:04Z
dc.date.available2026-07-07T09:53:04Z
dc.descriptionCrystalline assemblages of identical sub-units packed together and elastically bent in the form of a torus have been found in the past ten years in a variety of systems of surprisingly different nature, such as viral capsids, self-assembled monolayers and carbon nanomaterials. In this Letter we analyze the structural properties of toroidal crystals and we provide a unified description based on the elastic theory of defects in curved geometries. We find ground states characterized by the presence of 5-fold disclinations on the exterior of the torus and 7-fold disclinations in the interior. The number of excess disclinations is controlled primarily by the aspect ratio of the torus, suggesting a novel mechanism for creating toroidal templates with precisely controlled valency via functionalization of the defect sites.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0801.3484
dc.identifierhttp://arxiv.org/abs/0801.3484
dc.identifierPhys. Rev. E 78, 010601(R) (2008)
dc.identifierdoi:10.1103/PhysRevE.78.010601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165819
dc.subjectSoft Condensed Matter
dc.subjectMaterials Science
dc.titleToroidal Crystals
dc.typetext

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