Symmetry groups of single-wall nanotubes

DOI10.1107/S2053273313023887zbMath1341.82124WikidataQ44972270 ScholiaQ44972270MaRDI QIDQ2808887

Antonio M. Basilio, Eko Budi Santoso, Mark L. Loyola, Ma. Louise Antonette N. De Las Peñas

Publication date: 27 May 2016

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

zbMATH Keywords

symmetry groupscolor symmetrysingle-wall nanotubesstructural analogs

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (2)

Hyperbolic isocoronal tilings ⋮ Symmetry groups associated with tilings on a flat torus

Uses Software

• GAP
• Mathematica

Cites Work

• Unnamed Item
• Tiling the torus and other space forms
• Color groups
• Szeged index of \(TUC_4C_8(S)\) nanotubes
• Color symmetry
• Perfect colourings of cyclotomic integers
• A mathematical model for \(TUC_{4}C_{8}(S)\) nanotubes and their symmetry groups
• Seitz symbols for symmetry operations of subperiodic groups
• Morphisms of crystallographic groups: Kernels and images
• Foundations of Hyperbolic Manifolds
• Colour Symmetry
• Effect of rotational symmetry on colored lattices
• Combinatorial aspects of colour symmetries
• Theory of color symmetry for periodic and quasiperiodic crystals
• Rod groups and their settings as special geometric realisations of line groups
• On the linear representations of the symmetry groups of single-wall carbon nanotubes

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