Physical Review B · 2005 · 26 citations · 27 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsMaterials PhysicsNanomaterialsCarbon NanotubesDensity Functional TheoryElectronic Band StructureElectronic StructureElectronic Structure Of SolidsNanotubesCarbon Nanotube Electronic StructureCompressionGeneralized Gradient ApproximationSingle-walled Carbon NanotubesStiffnessStrain Effects On Electronic PropertiesStrain In NanostructuresUniaxial Strain
We report structural, elastic, and electronic properties of selected, deformed, single-wall carbon nanotubes under uniaxial strain. We utilized a generalized gradient approximation potential of density functional theory and the linear combination of atomic orbital formalism. We discuss bond-lengths, tubule radii, and the band gaps as functions of tension and compression strain for carbon nanotubes (10, 0), (8, 4), and (10, 10) which have chiral angles of 0, 19.1, and $30\phantom{\rule{0.3em}{0ex}}\mathrm{deg}$ relative to the zigzag direction. We also calculated the Young's modulus and the in-plane stiffness for each of these three nanotubes as representatives of zigzag, chiral, and armchair nanotubes, respectively. We found that these carbon nanotubes have unique structural properties consisting of a strong tendency to retain their tubule radii under large tension and compression strains.
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Self-Consistent Equations Including Exchange and Correlation Effects
W. Kohn, L. J. Sham · Physical Review · 1965 · 63.2K citations · Full text
Introduction to Solid State Physics
C. Kittel, D. L. Dexter · American Journal of Physics · 1953 · 13.4K citations