By analyzing the point groups of the (nonsymmorphic) rod-groups of carbon nanotubes we show, for the first time, to the best of our knowledge, that all achiral carbon nanotubes possess only 8 Raman-active and 3 infrared-active phonon modes. This is in contrast to previously predicted 15-16 and 7-8 active modes, respectively. On the same ground we show that all chiral carbon nanotubes have 14 (instead of 15) Raman-active and 6 (instead of 9) infrared-active phonon modes.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - 4 May 2001|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics