How many Raman-active vibrations do exist in carbon nanotubes?
| dc.creator | Astakhova, T. Yu. | |
| dc.creator | Vinogradov, G. A. | |
| dc.date | 2002-12-23 | |
| dc.date.accessioned | 2026-07-07T02:48:53Z | |
| dc.date.available | 2026-07-07T02:48:53Z | |
| dc.description | In this paper we present the results on Raman-active modes calculation in achiral $(n,n)$ and $(n,0)$ carbon nanotubes (CNTs). vibrational spectra are derived as the eigenvalues of corresponding dynamical matrix at the $Γ$-point of Brillouin zone. Diagonal components and $α_{xy} (=α_{yx})$ are the only non-zero components of polarization tensor. Selection rules for Raman-active modes are determined by direct estimations of matrix elements responsible for the intensities of corresponding vibrational transitions. Few $E_{2g}$ modes can be non-Raman-active because of their ``fine'' vibrational structure. We claim that numbers of Raman-active modes for achiral CNTs are: 5 ($(n,n)$ and $(n,0)$, $n$-even); 6 ($(n,n)$, $n$-odd); 8 ($(n,0)$, $n$-odd). | |
| dc.description | 18 pages, 9 figures, 3 tables | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212565 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212565 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20587 | |
| dc.subject | Materials Science | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | How many Raman-active vibrations do exist in carbon nanotubes? | |
| dc.type | text |