carbon nanotubes
DESCRIPTION
Carbon Nanotubes. Riichiro Saito [email protected] http://flex.ee.uec.ac.jp. Carbon Nanotubes. (5,5). Armchair Nanotube. (9,0). Zigzag Nanotube. (6,5). Chiral Nanotube. Solid State Properties of Carbon Nanotubes. Structures and Symmetry Electronic and Phonon Properties - PowerPoint PPT PresentationTRANSCRIPT
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Carbon NanotubesRiichiro [email protected]://flex.ee.uec.ac.jp
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(5,5)(9,0)(6,5)Carbon NanotubesArmchair NanotubeZigzag NanotubeChiral Nanotube
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Solid State Properties of Carbon NanotubesStructures and SymmetryElectronic and Phonon PropertiesRaman IntensitiesTransport PropertiesMagnetic PropertiesApplicationsPhysical Properties of Carbon Nanotubes, by R. Saito, G. Dresselhaus and M.S. Dresselhaus, Imperial College Press (1998) ISBN 1-86094-093-5
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Chiral Vectors : (n,m)Chiral Vector (equator of nanotube): OA, ChTranslational Vector of 1D material: OB, TUnit Cell : OABB
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SymmetrySymmorphic (mirror symmetry)Armchair Nanotube (n,n), n=mZigzag Nanotube (n,0), m=0Non-Symmorphic (axial chirality)Zigzag Nanotube (n,m), nm
Fig: (a) (5,5) armchair, (b) (9,0) zigzag, and (c) (10,5) chiral nanotubes
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Diameter and Chiral AngleDiameter : d
Chiral Angle : zigzag =0armchair =/6chiral 0
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Reciprocal Lattice and Wave Vectors1 Dimensional Wave VectorsNanotube axis direction
Discrete in Circumferential Direction
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Electronic Properties of Graphene band of graphiteUnit Cell, B. Z.Energy BandZero Gap Semiconductor
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Energy Bands of NanotubesN one-dimensional bands(5,5)(9,0)(10,0)
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Metal or Semiconductor depending on chiralityDensity of StatesRule for Metal Nanotube
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