Physics – Condensed Matter – Materials Science
Scientific paper
2006-01-18
Phys. Rev. B.73.235434(2006)
Physics
Condensed Matter
Materials Science
Scientific paper
10.1103/PhysRevB.73.235434
In this paper, we provide a detailed expression of the vibrational potential for the lattice dynamics of the single-wall carbon nanotubes (SWCNT) 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 the SWCNT are fulfilled.
Jiang Jin-Wu
Su Zhao-Bin
Tang Hui
Wang Bing-Shen
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