Abstract
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.
- Received 23 October 2000
DOI:https://doi.org/10.1103/PhysRevB.63.201403
©2001 American Physical Society