University of Pennsylvania
ScholarlyCommons
Department of Physics Papers
Department of Physics
3-19-2009
Photoluminescence and Band Gap Modulation inGraphene Oxide
Zhengtang Luo
University of Pennsylvania, [email protected]
Patrick Vora
University of Pennsylvania, [email protected]
Eugene J. Mele
University of Pennsylvania, [email protected]
A.T. Charlie Johnson Jr.
University of Pennsylvania, [email protected]
James M. Kikkawa
University of Pennsylvania, [email protected]
Suggested Citation:
Luo, Z., P.M. Vora, E.J. Mele, A.T.C. Johnson and J.M. Kikkawa. (2009). "Photoluminescence and band gap modulation in graphene oxide."AppliedPhysics Letters.94, 111909.
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of theauthor and the American Institute of Physics. The following article appeared inApplied Physics Letters.and may be found at http://dx.doi.org/10.1063/1.3098358.
This paper is posted at ScholarlyCommons.http://repository.upenn.edu/physics_papers/64For more information, please [email protected].
APPLIEDPHYSICSLETTERS94,111909͑2009͒
Photoluminescenceandbandgapmodulationingrapheneoxide
ZhengtangLuo,PatrickM.Vora,EugeneJ.Mele,A.T.CharlieJohnson,andJamesM.Kikkawaa͒
DepartmentofPhysicsandAstronomy,TheUniversityofPennsylvania,209South33rdStreet,Philadelphia,Pennsylvania19104,USA
͑Received21January2009;accepted21February2009;publishedonline19March2009͒Wereportbroadbandvisiblephotoluminescencefromsolidgrapheneoxide,andmodificationsoftheemissionspectrumbyprogressivechemicalreduction.Thedatasuggestagappingofthetwo-dimensionalelectronicsystembyremovalof-electrons.Wediscusspossiblegappingmechanisms,andproposethataKekulepatternofbonddistortionsmayaccountfortheobservedbehavior.2009AmericanInstituteofPhysics.͓DOI:10.1063/1.3098358͔
Singlelayerandbilayergraphenesystemscanexhibitaremarkablediversityofphenomena,includingobservationsofaroom-temperature,unconventionalquantumHalleffect,1–3predictionsofthequantumspinHalleffect,4brokenspin5,6orpseudospin7symmetries,andfinitesizeeffectsthatcanbeusedtocontrolbandstructure5,6,8,9andmagnetism.5,6,9,10Takentogether,thesepropertiessuggestthatgrapheneisapromisingplatformforseamlesslyex-changinginformationbetweendifferentdegreesoffreedom.Anoutstandingchallengeinthisregardisphotonicintegra-tionandbandgapmanipulation.Severaltheoreticalworkspredictthatadirectgapinthevisiblewouldoccurforsuffi-cientlysmallgraphenenanoribbons,5,6,8,9butnoobservationsofthisfinitesizeeffecthavebeenreported.Additionally,modificationsofthegraphenesheetbyoxidationcanintro-ducedirectgapbehavior.11
Hereweshowthatgraphene,althoughintrinsicallyazero-gapsemimetal,maybeoxidizedinamannerthatpro-ducesphotoluminescence͑PL͒forsolid,drop-castsamples.Wefindthatdespitethehighsurfaceareaofgrapheneoxide͑GO͒andinmarkedcontrasttocarbonnanotubes,thestrengthofPLfromGOflakesdoesnotdiffersignificantlybetweenaqueousanddrop-castsamples.TheresilienceofPLforsolidGOsamplesisencouragingfortechnologicalapplications,implyingthatGOmaybeausefulphotonicmaterialwhenincorporatedinsolidstatedevices.Thelargeobservedgapcreatesthepossibilityforspatiallymodulatingthebandstructurewithinasinglegrapheneflakebylocalcontroloftheoxidationprofile.StudiesofprogressivechemicalreductionshowquenchingofPLforbothdrop-castandaqueoussamples,coordinatedwithchangesinabsorp-tion.Thesestudiesalsofindsignaturesofbandgapmanipu-lation,albeitwithdifferentcharacterforsolidandliquidsamples.
AqueousdispersionsofsinglelayerGOwithanaverageareaofϳ100m2weresynthesizedfollowingaproceduredescribedelsewhere.12Solidsamples͑s-GO͒wereobtainedbydrop-castingtheconcentratedGOsolutionresultingfromthisprocedureontopolished,lowauto-fluorescence,Suprasil-2substratesandthenbakingat95°Cfor30min.Liquidsamples͑l-GO͒wereheldinquartzcuvettes,dilutedahundredfoldormoreasnecessarytoadjustopticaldensity.PLforbothl-GOands-GOwascollectedat90°degreesto
a͒
theexcitation,andthereflection͑transmission͒geometryfors-GOcorrespondedtocollectiononthesame͑opposite͒sideofthefilm.PLspectrawereexcitedbyXelamppassedthroughamonochrometer,andadditionalfilterswereem-ployedonexcitationandcollectiontorejectexcitationscat-ter,secondordergratingeffects,andleakageofXelampspikes.Spectrawerespectrallycorrectedfordetectoreffi-ciencies,andnormalizedbyexcitationpower.AllPLdatashownhere͑bothmapsandsinglespectra͒arefurthernor-malizedtoamaximumvalueofunityandtakenat300K.
Figure1͑a͒comparesPLforbothl-GOands-GOsamples.Bothpeaksinthevisiblewithalonginfraredemis-siontail.Differencesinmeasurementgeometrymakequan-titativecomparisonsofthequantumyieldimpossible,butgenerallylittledifferencewasseeninPLintensity.Aninter-estingquestioniswhetherenergyrelaxationandspectraldif-fusionarequalitativelyalteredbyaggregation.Forisolatedflakesinl-GO,diffusionoffreecarriersorboundexcitonsshouldbeconfinedtothetwodimensionalGOplane.How-ever,fors-GO,atomicforceandopticalmicroscopy,bothindicatefilmsoflayeredGOflakes,whichcouldgiverisetoadditionalinterflakerelaxationpathways.Ifinterlayercou-plingisstrongenough,theemissionspectrumcouldredshift.s-GOindeedshowsmorePLspectralweightintheinfrared,buttheredshiftinthePLpeakpositionisnotarobustfeatureoftheexperimentandwasinconsistentfromsampletosampleperhapsduetovariationsintheoxidationdensity.Inadditiontoexcitondiffusion,severalplausiblechangescould
1
(a)
l-GOs-GO
(b)
1
1
l-GOs-GO
0600
800
Wavelength(nm)
10001200
0400
Wavelength(nm)
500
0600
Electronicmail:[email protected].
FIG.1.͑Coloronline͒͑a͒NormalizedPLspectraexcitedat500nm͑s-GOtakenintransmission͒.͑b͒Absorption͑leftaxis,solid͒andPLintensitydetectedat752nm͑rightaxis,dashed͒,asafunctionofexcitationwavelength.
2009AmericanInstituteofPhysics
0003-6951/2009/94͑11͒/111909/3/$25.0094,111909-1
NormalizedPL(arb.units)
NormalizedPL(arb.units)
l-GOs-GO
Absorption
111909-2
600
Luoetal.Appl.Phys.Lett.94,111909͑2009͒
NormalizedPL(arb.units)
1.00.80.60.40.20.0600
ExcitationWavelength(nm)
500600
0s5s1min8min18min
(a)
500600
NormalizedPL(arb.units)
800
10001200Wavelength(nm)
1400
500
800
10001200EmissionWavelength(nm)
1400
1.00.8
0.6
FIG.2.͑Color͒NormalizedPLexcitation-emissionmapsfors-GOtakenintransmissionduringhydrazinevaporexposure.
0.40.2
alsoinfluencethepeakposition,includingmodificationsofthedielectricenvironment,spectralreabsorption,andvaria-tionsinoxidationdensity.
TheGOabsorption͓Fig.1͑b͔͒increaseswithenergyfromthenearinfraredto3.1eV,andprovidesaninterestingcontrasttothenonmonotonicPLspectrum.WefurthernotethatPLexcitation͑PLE͒spectradonotmirrortheabsor-banceincreasesathigherenergies.Tothecontrary,asshowninFig.1͑b͒,astheexcitationenergyincreases,PLintensitydetectedatafixedwavelengthdecreases.Thelatterindicatesthepresenceofnonradiativeenergyrelaxationpathways,butalsocallsintoquestiontherelevanceoftheabsorbancespec-trumtotheemissiveprocess.Withthesedatainmind,onemustconsiderthepossibilitythattheelectronicstructurewithintheflakesisheterogeneous,andthatPLemissionoriginatesfromabsorbanceintoexcitedstateswhosetotalabsorptivecross-sectionis,nevertheless,onlyasmallcon-tributortothetotalabsorptivespectrum.Absolutevaluesfortheemissivequantumyieldwouldhelptoilluminatethisdiscussion,butaccuratemeasurementsofthisquantityareproblematicforensemblesofheterogeneousnanomaterialsandarebeyondthescopeofthiswork.Neverthelesswemayqualitativelysaythattheobservedquantumyieldsappeartobefarlessthanunity.
Tostudytherelationshipbetweenoxidationdensityandtheopticalgap,weperformedexperimentstovarytheoxi-dationdensityandwhilemonitoringchangesinthePLspec-trum.s-GOsampleswereplacedinacoveredPetridishwithacontainerofhydrazine,heatedto50°C,andtheirPLmapscharacterizedinthetransmissiongeometry.Theprocesswasrepeatedseveraltimestoprogressivelyreducethesample,resultinginamarkedredshift͑Fig.2͒.Modelingshowsthatchangesintheabsorptivespectrum͑notshown͒couldalsoproducethesespectralshiftsthroughreabsorptionoftheemittedlight.Tobettercontroltheseeffects,werepeatedthisstudyonadifferentsampleinthereflectiongeometry,whilealsocontinuallymonitoringchangesinabsorption.Penetra-tionoftheexcitingandemittinglightwasthenestimatedusingtherelationshipImeas͑1−T1͒ln͑T1T2͒=IPL͑1−T1T2͒lnT1,whereT1͑T2͒isthefilmtransmissionfortheexcitation͑emission͒wavelength,ImeasandIPLaretherawandabsorbance-correctedintensities,respectively,andmul-
0.0600
900
1000
700
800
Wavelength(nm)
FIG.3.͑Coloronline͒NormalizedPLspectraduringhydrazineexposurefor͑a͒s-GOinareflectiongeometryand͑b͒l-GO,excitedat488nm.Datain͑a͒havebeencorrectedforreabsorptionasdescribedinthetext,whereas͑b͒doesnotrequireacorrection.͑Inset͒ChangesinintegratedPLintensityI͑t͒asafunctionofcumulativehydrazineexposuretforl-GO.LegendindicatesspectralregionsoverwhichI͑t͒wasintegrated.
tiplereflectionsareignored.IPLshowsasignificantredshiftinthePLemissionforincreasedexposuretimes͓Fig.3͑a͔͒,consistentwithanincreaseinthedisorderlengthscaleuponreduction.
Wealsostudiedchemicalreductioninl-GO,wherere-absorptioneffectscouldbebroughttoanegligiblelevel.l-GOwasreducedandheldinsuspensionfollowingthepro-cedureintroducedbyLietal.,13whichmayinvolveelectro-staticstabilization.Duringreduction,l-GOtransmissionre-mainedϾ80%relativetowaterfora1cmpathlength.Tofurtherminimizereabsorption,l-GOwasexcitedwithin1mmofthecollectionwindow.Figure3͑b͒showsthedevel-opmentofaflatterspectralprofileasafunctionofreductiontime.Currently,differencesbetweens-GOandl-GOreduc-tionstudiesarenotunderstood,butthedatadoholdcertainfeaturesincommon.Inallcases,therelativeintensityofPLintheinfraredincreases.However,theabsoluteintensityofPLwasalwaysseentodecreasewithreductioneverywhereinthespectrum,includingtheinfrared͓Fig.3͑b͒inset͔.
Atheoreticalframeworkforinterpretingthesedataisonlyjustemerging.Itcanbeexpectedthatoxidationpro-ducesadisruptionofthenetworkandcanopenadirectelectronicbandgapforsinglesheetgrapheneinoneoftwoways.Thefirstisaquantumconfinementeffectwherebythe-electronwavefunctionsoccupyapotentiallandscapewithstronglyrepulsivehardwallbarriersatoxidizedsites.Intheinfinitepotentiallimit,adelocalized-electronwavefunc-tionwilldevelopnodesateachofthesesites.Thepresenceorabsenceofagapforasamplewithmanysuchoxidizedsitesthendependsonthespatialdistributionofthesenodes.Forexample,ingrapheneribbonswheretheedgesbreakthesublatticesymmetry,thelateralconfinementofthewave
111909-3Luoetal.Appl.Phys.Lett.94,111909͑2009͒
functionproducesabandgapatitschargeneutralitylevel.Alternatively,forthespecialedgethatpreservessublatticesymmetry͑a“zig-zag”ribbon͒onefindsinsteadaresonantelectronicstateexactlyatzeroenergy.Theseresultsgeneral-izetoadisorderedpotentiallandscapewherethenodesoccurintheinteriorofthesample.Pereiraetal.14modeledtheeffectoflatticevacanciesinasinglevalleypicture,andfoundthatahardgapopensonlyinthespecialsituationwherethereiscompletesublatticeasymmetryinthevacancydistribution.Forintermediateasymmetrieswhereunequalfractionsofthedefectsresideondifferentsublattices,theyfindafinite,butreduced,densityofstates͑asoftgap͒inanenergyintervaloforderបvFͱn,wherenisthevacancyden-sityandvFistheFermivelocity.Inthelimitoffullsublatticesymmetry,theyfindaresonantstateatthechargeneutralitypoint.UsuallytheobservationofPLimpliesahardgap,sinceasoftgappermitsnonradiativeenergyrelaxationun-lessapeculiarbottleneckexists.Moreover,despitealackofconsensusastothestructuralmotifinGO,15–17thereisnotyetanyobservationorcalculationsuggestingacompletesublatticeasymmetryintheoxidationprofile.
Asecondgappingmechanismariseswhenoneconsiders,inaddition,theeffectsofintervalleyscatteringfromtheshortrangepotentialoftheoxidizedcarbons.IntervalleyscatteringproducesacoherentsuperpositionofBlochwavesneartheKandKЈpointsoftheBrillouinzone,givingrisetoaͱ3ϫͱ3modulationofthechargedensity,whichhasbeenim-agedbyscanningtunnelmicroscope.18Forabond-centeredscatteringpotential,thisdescribesamodulation͑alternation͒ofthebondchargedensityandaself-consistentpotentialwiththisspatialsymmetry.Theamplitudeofthismodulationisdeterminedbythescatteringstrength,directandexchangeelectron-electroninteractions,andtheelectron-phononcou-pling.Thelatterislikelytoproducesomedegreeofbondalternationinthegraphiticregionsnearanoxidizedsite,whichmighteventemplatefurtheroxidationinsuchawayastoreinforcethispatternofdistortions.Inthiswaya“Kekulepattern”emergesnaturallyintheelectronicpoten-tial,andprovidesaspatiallymodulatedintervalleygappa-rameteroftheformenvisionedbyHouetal.19Notethatbondalternationinconjugatedpolymerssuchaspolyphene-lynevinylenegivesrisetogapsofasimilarenergyscale.20
Withinacontextofbonddisorderinducedenergygaps,oneregardstheGOplaneasalandscapecontainingawiderangeoflocalbandgapminima.Thisnotionisconsistentwiththeverybroadrangeofobservedemissionenergies.Ifthereductionprocedureforl-GOdoesindeedpreventaggre-gation,asclaimedinRef.13,thentheobservationofPLquenchingacrosstheentirespectrumfortheliquidsampleindicatesthatinterflakeorsubstratecontactisnotvitalforquenchingofPL.NeithertheoreticalframeworkdiscussedaboveaccountsforalossofquantumyieldunlessthereissignificantinhomogeneityoftheoxidationprofilewithintheGOplane.Ifoneimaginesthatchemicalreductionresultsinthenucleationand/orgrowthofregionswhereGOisfullyreducedtographene,thenmigrationofnonequilibriumcar-rierstothesezerogapregionscouldprovideanefficientroutefornonradiativerecombination.Inthispicture,thereisnosimplerelationshipbetweentheoxidationdensityandthelengthscalebetweenoxidationsiteswithingapped,oxidizedregions.
Insummary,wedemonstratethats-GOemitsPL,andthatGOPLcanbealteredbychemicalreduction.BroadPLsuggestsadispersionofhardgaps,whichmayarisefrombondalternationwithintheGOplanegivingrisetointerval-leyscattering.Thelossofquantumyieldduringreductioninourexperimentssuggeststhatsomeregionsmightremainheavilyoxidized.Inthiscase,restorationofelectricalcon-ductivityresemblesapercolationproblemandgivesverylittleinformationaboutthegrowthoftheseregionsbelowthepercolationthreshold.Futurestudiesmightusecomplemen-tarymethodssuchasRamanscattering,21infraredLandaulevelspectroscopy,22,23ormagneticanisotropy24toquantifytheemergenceofgraphenelikeregionsinreducedGO.Op-ticalanisotropymeasurements24mayhelptoassesstheim-portanceofchargetransfertransitions,whichwehaveex-cludedfromthediscussionhereandshouldhavemarkedlydifferentopticalpolarizationanisotropieswhencomparedtotransitionsnativetothetwo-dimensionalGOplane.P.V.andJ.K.supportedbyNSFMRSECunderGrantNo.DMR05–20020,Z.L.andA.J.supportedbytheJSTODTRAandAROunderGrantNo.W911NF-06–1-0462,andE.M.supportedbyDOEunderGrantNo.DE-FG02-ER45118.
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1
University of Pennsylvania
ScholarlyCommons
Department of Physics Papers
Department of Physics
3-19-2009
Photoluminescence and Band Gap Modulation inGraphene Oxide
Zhengtang Luo
University of Pennsylvania, [email protected]
Patrick Vora
University of Pennsylvania, [email protected]
Eugene J. Mele
University of Pennsylvania, [email protected]
A.T. Charlie Johnson Jr.
University of Pennsylvania, [email protected]
James M. Kikkawa
University of Pennsylvania, [email protected]
Suggested Citation:
Luo, Z., P.M. Vora, E.J. Mele, A.T.C. Johnson and J.M. Kikkawa. (2009). "Photoluminescence and band gap modulation in graphene oxide."AppliedPhysics Letters.94, 111909.
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of theauthor and the American Institute of Physics. The following article appeared inApplied Physics Letters.and may be found at http://dx.doi.org/10.1063/1.3098358.
This paper is posted at ScholarlyCommons.http://repository.upenn.edu/physics_papers/64For more information, please [email protected].
APPLIEDPHYSICSLETTERS94,111909͑2009͒
Photoluminescenceandbandgapmodulationingrapheneoxide
ZhengtangLuo,PatrickM.Vora,EugeneJ.Mele,A.T.CharlieJohnson,andJamesM.Kikkawaa͒
DepartmentofPhysicsandAstronomy,TheUniversityofPennsylvania,209South33rdStreet,Philadelphia,Pennsylvania19104,USA
͑Received21January2009;accepted21February2009;publishedonline19March2009͒Wereportbroadbandvisiblephotoluminescencefromsolidgrapheneoxide,andmodificationsoftheemissionspectrumbyprogressivechemicalreduction.Thedatasuggestagappingofthetwo-dimensionalelectronicsystembyremovalof-electrons.Wediscusspossiblegappingmechanisms,andproposethataKekulepatternofbonddistortionsmayaccountfortheobservedbehavior.2009AmericanInstituteofPhysics.͓DOI:10.1063/1.3098358͔
Singlelayerandbilayergraphenesystemscanexhibitaremarkablediversityofphenomena,includingobservationsofaroom-temperature,unconventionalquantumHalleffect,1–3predictionsofthequantumspinHalleffect,4brokenspin5,6orpseudospin7symmetries,andfinitesizeeffectsthatcanbeusedtocontrolbandstructure5,6,8,9andmagnetism.5,6,9,10Takentogether,thesepropertiessuggestthatgrapheneisapromisingplatformforseamlesslyex-changinginformationbetweendifferentdegreesoffreedom.Anoutstandingchallengeinthisregardisphotonicintegra-tionandbandgapmanipulation.Severaltheoreticalworkspredictthatadirectgapinthevisiblewouldoccurforsuffi-cientlysmallgraphenenanoribbons,5,6,8,9butnoobservationsofthisfinitesizeeffecthavebeenreported.Additionally,modificationsofthegraphenesheetbyoxidationcanintro-ducedirectgapbehavior.11
Hereweshowthatgraphene,althoughintrinsicallyazero-gapsemimetal,maybeoxidizedinamannerthatpro-ducesphotoluminescence͑PL͒forsolid,drop-castsamples.Wefindthatdespitethehighsurfaceareaofgrapheneoxide͑GO͒andinmarkedcontrasttocarbonnanotubes,thestrengthofPLfromGOflakesdoesnotdiffersignificantlybetweenaqueousanddrop-castsamples.TheresilienceofPLforsolidGOsamplesisencouragingfortechnologicalapplications,implyingthatGOmaybeausefulphotonicmaterialwhenincorporatedinsolidstatedevices.Thelargeobservedgapcreatesthepossibilityforspatiallymodulatingthebandstructurewithinasinglegrapheneflakebylocalcontroloftheoxidationprofile.StudiesofprogressivechemicalreductionshowquenchingofPLforbothdrop-castandaqueoussamples,coordinatedwithchangesinabsorp-tion.Thesestudiesalsofindsignaturesofbandgapmanipu-lation,albeitwithdifferentcharacterforsolidandliquidsamples.
AqueousdispersionsofsinglelayerGOwithanaverageareaofϳ100m2weresynthesizedfollowingaproceduredescribedelsewhere.12Solidsamples͑s-GO͒wereobtainedbydrop-castingtheconcentratedGOsolutionresultingfromthisprocedureontopolished,lowauto-fluorescence,Suprasil-2substratesandthenbakingat95°Cfor30min.Liquidsamples͑l-GO͒wereheldinquartzcuvettes,dilutedahundredfoldormoreasnecessarytoadjustopticaldensity.PLforbothl-GOands-GOwascollectedat90°degreesto
a͒
theexcitation,andthereflection͑transmission͒geometryfors-GOcorrespondedtocollectiononthesame͑opposite͒sideofthefilm.PLspectrawereexcitedbyXelamppassedthroughamonochrometer,andadditionalfilterswereem-ployedonexcitationandcollectiontorejectexcitationscat-ter,secondordergratingeffects,andleakageofXelampspikes.Spectrawerespectrallycorrectedfordetectoreffi-ciencies,andnormalizedbyexcitationpower.AllPLdatashownhere͑bothmapsandsinglespectra͒arefurthernor-malizedtoamaximumvalueofunityandtakenat300K.
Figure1͑a͒comparesPLforbothl-GOands-GOsamples.Bothpeaksinthevisiblewithalonginfraredemis-siontail.Differencesinmeasurementgeometrymakequan-titativecomparisonsofthequantumyieldimpossible,butgenerallylittledifferencewasseeninPLintensity.Aninter-estingquestioniswhetherenergyrelaxationandspectraldif-fusionarequalitativelyalteredbyaggregation.Forisolatedflakesinl-GO,diffusionoffreecarriersorboundexcitonsshouldbeconfinedtothetwodimensionalGOplane.How-ever,fors-GO,atomicforceandopticalmicroscopy,bothindicatefilmsoflayeredGOflakes,whichcouldgiverisetoadditionalinterflakerelaxationpathways.Ifinterlayercou-plingisstrongenough,theemissionspectrumcouldredshift.s-GOindeedshowsmorePLspectralweightintheinfrared,buttheredshiftinthePLpeakpositionisnotarobustfeatureoftheexperimentandwasinconsistentfromsampletosampleperhapsduetovariationsintheoxidationdensity.Inadditiontoexcitondiffusion,severalplausiblechangescould
1
(a)
l-GOs-GO
(b)
1
1
l-GOs-GO
0600
800
Wavelength(nm)
10001200
0400
Wavelength(nm)
500
0600
Electronicmail:[email protected].
FIG.1.͑Coloronline͒͑a͒NormalizedPLspectraexcitedat500nm͑s-GOtakenintransmission͒.͑b͒Absorption͑leftaxis,solid͒andPLintensitydetectedat752nm͑rightaxis,dashed͒,asafunctionofexcitationwavelength.
2009AmericanInstituteofPhysics
0003-6951/2009/94͑11͒/111909/3/$25.0094,111909-1
NormalizedPL(arb.units)
NormalizedPL(arb.units)
l-GOs-GO
Absorption
111909-2
600
Luoetal.Appl.Phys.Lett.94,111909͑2009͒
NormalizedPL(arb.units)
1.00.80.60.40.20.0600
ExcitationWavelength(nm)
500600
0s5s1min8min18min
(a)
500600
NormalizedPL(arb.units)
800
10001200Wavelength(nm)
1400
500
800
10001200EmissionWavelength(nm)
1400
1.00.8
0.6
FIG.2.͑Color͒NormalizedPLexcitation-emissionmapsfors-GOtakenintransmissionduringhydrazinevaporexposure.
0.40.2
alsoinfluencethepeakposition,includingmodificationsofthedielectricenvironment,spectralreabsorption,andvaria-tionsinoxidationdensity.
TheGOabsorption͓Fig.1͑b͔͒increaseswithenergyfromthenearinfraredto3.1eV,andprovidesaninterestingcontrasttothenonmonotonicPLspectrum.WefurthernotethatPLexcitation͑PLE͒spectradonotmirrortheabsor-banceincreasesathigherenergies.Tothecontrary,asshowninFig.1͑b͒,astheexcitationenergyincreases,PLintensitydetectedatafixedwavelengthdecreases.Thelatterindicatesthepresenceofnonradiativeenergyrelaxationpathways,butalsocallsintoquestiontherelevanceoftheabsorbancespec-trumtotheemissiveprocess.Withthesedatainmind,onemustconsiderthepossibilitythattheelectronicstructurewithintheflakesisheterogeneous,andthatPLemissionoriginatesfromabsorbanceintoexcitedstateswhosetotalabsorptivecross-sectionis,nevertheless,onlyasmallcon-tributortothetotalabsorptivespectrum.Absolutevaluesfortheemissivequantumyieldwouldhelptoilluminatethisdiscussion,butaccuratemeasurementsofthisquantityareproblematicforensemblesofheterogeneousnanomaterialsandarebeyondthescopeofthiswork.Neverthelesswemayqualitativelysaythattheobservedquantumyieldsappeartobefarlessthanunity.
Tostudytherelationshipbetweenoxidationdensityandtheopticalgap,weperformedexperimentstovarytheoxi-dationdensityandwhilemonitoringchangesinthePLspec-trum.s-GOsampleswereplacedinacoveredPetridishwithacontainerofhydrazine,heatedto50°C,andtheirPLmapscharacterizedinthetransmissiongeometry.Theprocesswasrepeatedseveraltimestoprogressivelyreducethesample,resultinginamarkedredshift͑Fig.2͒.Modelingshowsthatchangesintheabsorptivespectrum͑notshown͒couldalsoproducethesespectralshiftsthroughreabsorptionoftheemittedlight.Tobettercontroltheseeffects,werepeatedthisstudyonadifferentsampleinthereflectiongeometry,whilealsocontinuallymonitoringchangesinabsorption.Penetra-tionoftheexcitingandemittinglightwasthenestimatedusingtherelationshipImeas͑1−T1͒ln͑T1T2͒=IPL͑1−T1T2͒lnT1,whereT1͑T2͒isthefilmtransmissionfortheexcitation͑emission͒wavelength,ImeasandIPLaretherawandabsorbance-correctedintensities,respectively,andmul-
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FIG.3.͑Coloronline͒NormalizedPLspectraduringhydrazineexposurefor͑a͒s-GOinareflectiongeometryand͑b͒l-GO,excitedat488nm.Datain͑a͒havebeencorrectedforreabsorptionasdescribedinthetext,whereas͑b͒doesnotrequireacorrection.͑Inset͒ChangesinintegratedPLintensityI͑t͒asafunctionofcumulativehydrazineexposuretforl-GO.LegendindicatesspectralregionsoverwhichI͑t͒wasintegrated.
tiplereflectionsareignored.IPLshowsasignificantredshiftinthePLemissionforincreasedexposuretimes͓Fig.3͑a͔͒,consistentwithanincreaseinthedisorderlengthscaleuponreduction.
Wealsostudiedchemicalreductioninl-GO,wherere-absorptioneffectscouldbebroughttoanegligiblelevel.l-GOwasreducedandheldinsuspensionfollowingthepro-cedureintroducedbyLietal.,13whichmayinvolveelectro-staticstabilization.Duringreduction,l-GOtransmissionre-mainedϾ80%relativetowaterfora1cmpathlength.Tofurtherminimizereabsorption,l-GOwasexcitedwithin1mmofthecollectionwindow.Figure3͑b͒showsthedevel-opmentofaflatterspectralprofileasafunctionofreductiontime.Currently,differencesbetweens-GOandl-GOreduc-tionstudiesarenotunderstood,butthedatadoholdcertainfeaturesincommon.Inallcases,therelativeintensityofPLintheinfraredincreases.However,theabsoluteintensityofPLwasalwaysseentodecreasewithreductioneverywhereinthespectrum,includingtheinfrared͓Fig.3͑b͒inset͔.
Atheoreticalframeworkforinterpretingthesedataisonlyjustemerging.Itcanbeexpectedthatoxidationpro-ducesadisruptionofthenetworkandcanopenadirectelectronicbandgapforsinglesheetgrapheneinoneoftwoways.Thefirstisaquantumconfinementeffectwherebythe-electronwavefunctionsoccupyapotentiallandscapewithstronglyrepulsivehardwallbarriersatoxidizedsites.Intheinfinitepotentiallimit,adelocalized-electronwavefunc-tionwilldevelopnodesateachofthesesites.Thepresenceorabsenceofagapforasamplewithmanysuchoxidizedsitesthendependsonthespatialdistributionofthesenodes.Forexample,ingrapheneribbonswheretheedgesbreakthesublatticesymmetry,thelateralconfinementofthewave
111909-3Luoetal.Appl.Phys.Lett.94,111909͑2009͒
functionproducesabandgapatitschargeneutralitylevel.Alternatively,forthespecialedgethatpreservessublatticesymmetry͑a“zig-zag”ribbon͒onefindsinsteadaresonantelectronicstateexactlyatzeroenergy.Theseresultsgeneral-izetoadisorderedpotentiallandscapewherethenodesoccurintheinteriorofthesample.Pereiraetal.14modeledtheeffectoflatticevacanciesinasinglevalleypicture,andfoundthatahardgapopensonlyinthespecialsituationwherethereiscompletesublatticeasymmetryinthevacancydistribution.Forintermediateasymmetrieswhereunequalfractionsofthedefectsresideondifferentsublattices,theyfindafinite,butreduced,densityofstates͑asoftgap͒inanenergyintervaloforderបvFͱn,wherenisthevacancyden-sityandvFistheFermivelocity.Inthelimitoffullsublatticesymmetry,theyfindaresonantstateatthechargeneutralitypoint.UsuallytheobservationofPLimpliesahardgap,sinceasoftgappermitsnonradiativeenergyrelaxationun-lessapeculiarbottleneckexists.Moreover,despitealackofconsensusastothestructuralmotifinGO,15–17thereisnotyetanyobservationorcalculationsuggestingacompletesublatticeasymmetryintheoxidationprofile.
Asecondgappingmechanismariseswhenoneconsiders,inaddition,theeffectsofintervalleyscatteringfromtheshortrangepotentialoftheoxidizedcarbons.IntervalleyscatteringproducesacoherentsuperpositionofBlochwavesneartheKandKЈpointsoftheBrillouinzone,givingrisetoaͱ3ϫͱ3modulationofthechargedensity,whichhasbeenim-agedbyscanningtunnelmicroscope.18Forabond-centeredscatteringpotential,thisdescribesamodulation͑alternation͒ofthebondchargedensityandaself-consistentpotentialwiththisspatialsymmetry.Theamplitudeofthismodulationisdeterminedbythescatteringstrength,directandexchangeelectron-electroninteractions,andtheelectron-phononcou-pling.Thelatterislikelytoproducesomedegreeofbondalternationinthegraphiticregionsnearanoxidizedsite,whichmighteventemplatefurtheroxidationinsuchawayastoreinforcethispatternofdistortions.Inthiswaya“Kekulepattern”emergesnaturallyintheelectronicpoten-tial,andprovidesaspatiallymodulatedintervalleygappa-rameteroftheformenvisionedbyHouetal.19Notethatbondalternationinconjugatedpolymerssuchaspolyphene-lynevinylenegivesrisetogapsofasimilarenergyscale.20
Withinacontextofbonddisorderinducedenergygaps,oneregardstheGOplaneasalandscapecontainingawiderangeoflocalbandgapminima.Thisnotionisconsistentwiththeverybroadrangeofobservedemissionenergies.Ifthereductionprocedureforl-GOdoesindeedpreventaggre-gation,asclaimedinRef.13,thentheobservationofPLquenchingacrosstheentirespectrumfortheliquidsampleindicatesthatinterflakeorsubstratecontactisnotvitalforquenchingofPL.NeithertheoreticalframeworkdiscussedaboveaccountsforalossofquantumyieldunlessthereissignificantinhomogeneityoftheoxidationprofilewithintheGOplane.Ifoneimaginesthatchemicalreductionresultsinthenucleationand/orgrowthofregionswhereGOisfullyreducedtographene,thenmigrationofnonequilibriumcar-rierstothesezerogapregionscouldprovideanefficientroutefornonradiativerecombination.Inthispicture,thereisnosimplerelationshipbetweentheoxidationdensityandthelengthscalebetweenoxidationsiteswithingapped,oxidizedregions.
Insummary,wedemonstratethats-GOemitsPL,andthatGOPLcanbealteredbychemicalreduction.BroadPLsuggestsadispersionofhardgaps,whichmayarisefrombondalternationwithintheGOplanegivingrisetointerval-leyscattering.Thelossofquantumyieldduringreductioninourexperimentssuggeststhatsomeregionsmightremainheavilyoxidized.Inthiscase,restorationofelectricalcon-ductivityresemblesapercolationproblemandgivesverylittleinformationaboutthegrowthoftheseregionsbelowthepercolationthreshold.Futurestudiesmightusecomplemen-tarymethodssuchasRamanscattering,21infraredLandaulevelspectroscopy,22,23ormagneticanisotropy24toquantifytheemergenceofgraphenelikeregionsinreducedGO.Op-ticalanisotropymeasurements24mayhelptoassesstheim-portanceofchargetransfertransitions,whichwehaveex-cludedfromthediscussionhereandshouldhavemarkedlydifferentopticalpolarizationanisotropieswhencomparedtotransitionsnativetothetwo-dimensionalGOplane.P.V.andJ.K.supportedbyNSFMRSECunderGrantNo.DMR05–20020,Z.L.andA.J.supportedbytheJSTODTRAandAROunderGrantNo.W911NF-06–1-0462,andE.M.supportedbyDOEunderGrantNo.DE-FG02-ER45118.
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