Journal
PHYSICAL REVIEW B
Volume 71, Issue 8, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevB.71.085420
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A continuum model yielding dispersion relations for long-wavelength acoustic and optical phonons in two-dimensional graphite and achiral single-walled carbon nanotubes is developed. Close relations with the theory of thin elastic plates and cylindrical shells are established. The effective thickness of a nanotube determining the limits of validity of the continuum model is estimated. A qualitative analysis of vibrations of chiral nanotubes is presented.
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