2006/01/18 by Jin-Wu Jiang, Hui Tang, Bing-Shen Wang +1 · 5 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Force Microscopy Techniques and Applications #Mechanical and Optical Resonators #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.73.235434
published as Phys. Rev. B.73.235434(2006)
arxiv created 2006/01/18 · openalex publication_date 2006/06/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We provide a detailed expression of the vibrational potential for the lattice dynamics of single-wall carbon nanotubes (SWCNT's) satisfying the requirements of the exact rigid translational as well as rotational symmetries, which is a nontrivial generalization of the valence force model for the planar graphene sheet. With the model, the low-frequency behavior of the dispersion of the acoustic modes as well as the flexure mode can be precisely calculated. Based upon a comprehensive chiral symmetry analysis, the calculated mode frequencies (including all the Raman- and infrared-active modes), velocities of acoustic modes, and the polarization vectors are systematically fitted in terms of the chiral angle and radius, where the restrictions of various symmetry operations of SWCNT's are fulfilled.