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1、REVIEWARTICLENPGAsiaMater.1(1)17–21(2009)doi:10.1038/10.1038/asiamat.2009.1TheelectronicpropertiesofgrapheneandcarbonnanotubesTsuneyaAndo*TokyoInstituteofTechnology,JapanAbriefreviewisgivenonthecharacteristicfeaturesofelectronicstatesandtransportingrapheneconsistingofa
2、singlesheetofgraphite,anditscylinderformcalledacarbonnanotube.ElectronmotioningrapheneisequivalenttothatofaneutrinoorarelativisticDiracelectronwithvanishingrestmass.ThiscausestheappearanceofanontrivialBerry’sphaseunder2πrotationinwave-vectorspace,leadingtotheabsenceofb
3、ackscatteringandinthemetalliccarbonnanotuberesultinginperfectconductioneveninthepresenceofscatterers.TheenergybandsincarbonnanotubesaredeterminedbyperiodicboundaryconditionswithafictitiousAharonov-Bohmfluxdetermineduniquelybythecircumferentialchiralvector.Ananotubebeco
4、mesmetallicwhenthefluxvanishesandsemiconductingwhenthefluxisnonzero.TheconductivityofgrapheneisessentiallyindependentoftheFermienergyandtheelectronconcentrationaslongasvariationsineffectivescatteringstrengthareneglected,andthereforegrapheneshouldberegardedasametalrathe
5、rthanazero-gapsemiconductor.Variousschemesarenowbeingproposedandtestedforthepurposeofopeningthebandgapingraphene.hebestknowncarboncrystalisdiamond,whosehardnessandPrimitivetranslationvectorsThighdispersionoflightmakeitusefulforindustrialapplicationsArmchairandjewelry.U
6、nderambientpressuresandatroomtemperature,bhowever,themoststableformofcarbonisgraphite,whichisusedaasanindustriallubricantandasthe‘lead’inpencils.GraphiteisalayeredmaterialinwhicheachlayerconsistsofasheetofcarbonatomsAforminghexagonalstructuressimilartobenzenerings.Amon
7、olayerBLofgraphiteiscalledgraphene,andacarbonnanotubeisacylinderChiralUnitcellmadeofgraphene.vectorCarbonnanotubeswerediscoveredbySumioIijimaduringthesynthesisoffullereneC60in1991.AnanotubeexhibitsextraordinaryChiralmechanicalpropertiesthatmakeitidealforreinforcedcompo
8、sites:itηanglehasahugeYoungmodulus,isasstiffasdiamondandtheestimatedZigzagtensilestrengthismorethantentimesthatofstee