Abstract
Phonons are calculated for single wall carbon nanotubes. Eigenvalues and eigenvectors are presented for armchair and zig-zag tubes. The model contains just three adjustable spring constants: two for first and second nearest neighbor directed bonds, and a third for radial bond-bending interactions. There are four low frequency modes at long wavelength: a longitudinal acoustical, a torsional mode, and two flexure modes.
Original language | English |
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Article number | 075405 |
Pages (from-to) | 075405-1-075405-11 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 70 |
Issue number | 7 |
DOIs | |
State | Published - Aug 2004 |
Bibliographical note
Funding Information:We are grateful for research support from NSF Grant No. DMR-03-04178.