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

A. Ceulemans, L. F. Chibotaru

1999ensymmetrypolyhedraltheoremband theorysolids

Abstract

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Irreducible symmetry representations characterize topological invariants of point group molecules. In the present paper, this result is extended to periodic structures in two and three dimensions, using plane and space symmetry groups. Applications include a symmetry analysis of the band structure for the graphite sheet and related nanotubes of the leapfrog type.

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Cite This Work

@article{38d4ce6d-58f4-4cdb-b41b-0844323493ab,
  title={Symmetry extensions of Euler’s polyhedral theorem and the band theory of solids},
  author={A. Ceulemans and L. F. Chibotaru},
  year={1999},
  language={en}
}
TY  - JOUR
TI  - Symmetry extensions of Euler’s polyhedral theorem and the band theory of solids
AU  - A. Ceulemans
AU  - L. F. Chibotaru
PY  - 1999
LA  - en
ER  -

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