Flexure modes in carbon nanotubes

G. D. Mahan, Sang Jeon Gun

Research output: Contribution to journalArticlepeer-review

97 Scopus citations


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 languageEnglish
Article number075405
Pages (from-to)075405-1-075405-11
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - Aug 2004

Bibliographical note

Funding Information:
We are grateful for research support from NSF Grant No. DMR-03-04178.


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