Symmetry extensions of Euler's polyhedral theorem and the band theory of solids

Authors
Ceulemans, A Chibotaru, LF Fowler, PW Szopa, M
Citation
A. Ceulemans et al., Symmetry extensions of Euler's polyhedral theorem and the band theory of solids, J CHEM PHYS, 110(14), 1999, pp. 6916-6926
Citations number
21
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF CHEMICAL PHYSICS
ISSN journal
00219606 → ACNP
Volume
110
Issue
14
Year of publication
1999
Pages
6916 - 6926
Database
ISI
SICI code
0021-9606(19990408)110:14<6916:SEOEPT>2.0.ZU;2-M
Abstract
Irreducible symmetry representations characterize topological invariants of point group molecules. In the present paper this result is extended to per iodic structures in two and three dimensions, using plane and space symmetr y groups. Applications include a symmetry analysis of the band structure fo r the graphite sheet and related nanotubes of the leapfrog type. (C) 1999 A merican Institute of Physics.