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Electrochemical methods for the characterization and interfacial study of dye-sensitized solar cell

来源:乌哈旅游
Sci.Bull.(2015)60(9):850–863DOI10.1007/s11434-015-0769-0www.scibull.comwww.springer.com/scp

ReviewChemistry

Electrochemicalmethodsforthecharacterizationandinterfacialstudyofdye-sensitizedsolarcell

DajiangZheng•MeidanYe•XiaoruWenNanZhang•ChangjianLin

Received:1December2014/Accepted:8January2015/Publishedonline:26March2015ÓScienceChinaPressandSpringer-VerlagBerlinHeidelberg2015

AbstractDye-sensitizedsolarcell(DSSC)isoneofthemostrapidlydevelopedsolarcellsinthepast20years.Manycharacterizationmethodshavebeenemployedforfurtherunderstandingtheoperationaldetailsofthephoto-electricconversioninDSSCaswellastheevaluationofcellperformance.Electrochemicalmethodshavebecomepow-erfultoolsforstudyingthechargetransferandinterfacialprocess.Inthisreview,weintroduceandexplainthevariouselectrochemicalmethodsusedtocharacterizeandanalyzeDSSC,includingcurrent–voltage(I–V)scanmeasurement,cyclicvoltammetry,electrochemicalimpedancespec-troscopy,intensity-modulatedphotocurrentspectroscopy,andintensity-modulatedphotovoltagespectroscopy.Inad-dition,someapplicationswereprovidedassamplestoelucidateelectrontransferkinetics,energylevelsandelectrocatalyticactivityofthematerialsusedinDSSC.KeywordsElectrochemicalmethodsÁ

Dye-sensitizedsolarcellsÁCharacterizationÁPerformanceÁMechanism1Introduction

Dye-sensitizedsolarcell(DSSC)isattractiveworldwideasapromisinglow-costsolarcell.Sincethefirstbreakthrough

D.ZhengÁX.WenÁN.ZhangÁC.Lin(&)

StateKeyLaboratoryofPhysicalChemistryofSolidSurfaces,DepartmentofChemistry,CollegeofChemistryandChemicalEngineering,XiamenUniversity,Xiamen361005,Chinae-mail:cjlin@xmu.edu.cn

M.Ye

ResearchInstituteforSoftMatterandBiomimetics,SchoolofPhysics,MechanicalandElectricalEngineering,XiamenUniversity,Xiamen361005,ChinabyO’ReganandGratzel[1]in1991,thisnewtypeofsolarcellwentthrougharapiddevelopmentinthepasttwodecades,reachingaphotoelectricconversionefficiencyinexcessof13%in2014[2].Overthisperiod,manynewmaterialshavebeendesignedandsynthesizedtobeusedtoimprovetheefficiencyofDSSC.Theseincludesemicon-ductoroxides,organicsensitizers,redoxcouplesandelectrocatalystsforcounterelectrodes,allofwhichhavebeenextensivelyreviewedelsewhere[3–17].Inparticular,varioustheoreticalstudieshavealsobeenconductedtoelucidatethefundamentalprocessestakingplaceinDSSC[18–24].DSSCisactuallyaphotoelectrochemicalsolarcellinvolvedcomplexphotoexcitedreactions,electro-chemicalreactions,electrontransportsatvariousinterfacesinthecell,photocatalyticalreaction.Theinterfacialener-geticsandkineticsarevitallyimportantinDSSC,asitallowsustoknowhowtoreduceenergylossandachieveahighefficiency,bothofwhicharestronglydependentontheaccuratedeterminationofenergylevelsandthefullunderstandingofreactionkineticsatcellinterfaces.

Avarietyofcharacterizationmethodshavebeende-velopedtoevaluatetheperformanceofDSSC,aswellastofurtherunderstandtherelevantreactionprocessmechan-ism,suchaselectrontransport,chargetransferandelec-tron–holerecombination[17,24–28],andconsequentlytoreasonablydesignnovelmaterialsforcells[29–31].Elec-trochemicalandphotoelectrochemicalmethodshavebeenfoundtobethemostpowerfultoolsinthedevelopmentofhigh-performancecellsandintheunderstandingofthereactionsmechanisminvolved.Mostphotoelectrochemicalmethodshavebeenusedinthestudyofelectrontransportandchangertransferprocess,appearinginrecentreviews[25,26,28,32,33].However,theprincipleandanalysisoftheelectrochemicalmethodsappliedinDSSCusuallyre-mainsunclearandambiguous.Inthisreview,welook

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criticallyattheapplicationofelectrochemicalmethodsinthestudyoftheoverallsolarcellandsinglepartofDSSC.Theyincludeconventionalelectrochemicalmethods,suchascurrent–voltage(I–V)dynamicpolarization,cyclicvoltammetry(CV),electrochemicalimpedancespec-troscopy(EIS),andsomenewlydevelopedelectrochemicalfrequency-domainmethods,suchasintensity-modulatedphotocurrentspectroscopy(IMPS)andintensity-modulatedphotovoltagespectroscopy(IMVS).ThesemethodshaveprovedextremelyusefulintheevaluationoftheoverallperformanceofDSSCandtheirseparatedcomponents,helpingustostudyingtheelectrontransferdynamicsandwellastoelucidatetheenergylevelsandelectrocatalyticactivity.

2OverviewofDSSC

DSSCismadeupoffourmaincomponents:asemicon-ductorphotoanode(e.g.,TiO2),adyesensitizer(e.g.,N719),anelectrolytecontainingaredoxcouple(e.g.,I-/I3-),andacounterelectrode(e.g.,Pt-coatedconductiveglass).Figure1showsthebasicstructureandworkingprincipleofatypicalDSSC.Thesemiconductorphotoan-ode,believedtobethemostvitalpartofaDSSC,isusuallyintheformofananoporousfilmwithathicknessof10–20lm.Itisusuallymadeupofsemiconductoroxidenanoparticlesonatransparentconductiveglass,whichnotonlyhasaverylargespecificsurfaceareaforgettingahighadsorptionofdyemolecules,butalsooffersanelectronictransmissionroutefortransportingtheinjectedelectronsfromphotoexciteddyemoleculartotheexternalcircuit.Thesecondcomponentisthedyesensitizer,withmono-layerchemicaladsorptionontothesemiconductornano-porousfilm,ismainlyusedtoabsorbsunlightandthenproduceexcitedelectron–holepairs.Theexcitedelectrons

areinjectedintothesemiconductorphotoanodetorealizetheseparationoftheelectron–holepairs.Theholesleftinthegroundstateofthedyemoleculesareeitherreducedbytheoxidizingsubstancesintheelectrolyteortransportedtotheholetransportmaterials.Thethirdcomponentisanelectrolytecontainingredoxcouplesorasolidholetrans-portmaterial,whichhavetheabilitytoregeneratedyemoleculesfromtheirexcitedstatestotheirgroundstatesbyreducingsubstancesintheelectrolyte(suchasI-)orbyprovidingholetransportpaths.Thefourthandfinalcom-ponentisthecounterelectrode,whichisusedforelectro-catalyticallyreducingtheoxidizingsubstances(suchasI3-)toformreducingsubstancesintheelectrolyteusingtheelectronsfromexternalelectroniccircuit.Thus,theelectrontransferprocessesarecompletedandthecellop-erationismaintained.TheopencircuitpotentialofaDSSCunderlightispredominantlydeterminedfromthediffer-encebetweenthequasiFermilevelinthesemiconductorandtheredoxpotentialintheelectrolyte.

InthetypicalDSSC,thebasicelectrontransferprocesscanbedescribedasinFig.1.Firstly,electronsaretrans-ferredfromthelowestunoccupiedmolecularorbital(LUMO)tothehighestoccupiedmolecularorbital(HOMO)inthedyewhentheyareilluminated.Theyaretheninjectedintotheconductionbandofthesemicon-ductorandsubsequentlytransportedtothetransparentconductiveglassthroughthephotoanode.Theelectronsthenpassthroughanexternalcircuitandarriveatthecounterelectrode.Here,reductionofoxidizingsubstances(e.g.,I3-)occursatthecounterelectrode/electrolytein-terfaceandtheproduct(e.g.,I-)asreducingsubstances,diffusetothephotoanodetooxidizetheexciteddyeandthuscompletethecycle.

However,inthisprocess,therehastoexistadversebackreactions,preventingtheelectronsharvestbythecollectingelectrode(conductiveglass).Forexample,theinjectedelectronsintheconductionbandofthesemiconductorcouldbecapturedbytheholesintheexciteddyeorbytheoxidizingspeciesintheelectrolyte,andtherecombinationofelectronandholealsooccursatinterfacesinthepho-toanode.Theseprocessesresultinaloweringoftheenergyconversionefficiencyandthereforetheoverallperfor-manceoftheDSSC.

3I–Vmeasurement

I–Vcharacteristiccurvesareusedtomeasurethephoto-electricconversionefficiencyofsolarcells.FromI–Vcurves,wecangettheopencircuitpotential(Voc),shortcircuitcurrent(Isc),andthemaximumoutputpowerpoint(IVmax)ofasolarcell.Thephotoelectricconversioneffi-ciency(g)canthenbecalculatedasfollows:

Fig.1(Coloronline)StructureandoperationprincipleofaDSSC

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IVmaxJscVocFF

¼;

PinPinA

ð1Þ

wherePinisthepowerdensityofincidentlight,Aistheactive

surfaceareaofthesolarcell,JscistheshortcircuitcurrentdensityandFFisthefillfactor.Usually,theI–Vcurveisobtainedusingalinearsweepwithastepwisechangeinex-ternalpowersupplywitheverystephavingasamplingdelaytime.Whencomparedwithconventionalsolarcells,theI–VcurveofDSSCismoresensitivetothesamplingdelaytimeasaconsequenceofdifferingoperationalprinciples.Thatis,DSSCisaphoto-chemicalsolarcell,whichneedsalongerresponsetimetoachievethesamephotoelectricconversionasaconventionalsolarcell.Hanandco-workers[34,35]in-vestigatedthedependenceofI–Vcurvesondifferentsweepconditions,includingvoltagesweepdirectionandsamplingdelaytime.Theydefinedthevoltagesweepdirectionfromshortcircuittoopencircuitasnormalscanandanotherasreversescan.TheirresultsshowedthatagreaterVocandFFwereobtainedfromthereversescan,whiletheJscremainedthesamewhenacetonitrilewasusedasanelectrolytesolvent.Withanincreaseofsamplingdelaytime,thechangeinVocandFFreduced,andthephotoelectricconversionefficiencywasleftalmostunchangedwhenthesamplingdelaytimemorethan40ms.TheeffectofvoltagesweeptimehavealsobeenstudiedbyAokietal.[36]andTakagietal.[37],withsimilaroutcomes.TheypointedoutthatitcanbeindividualfactorsthatinfluencetheresponsivetimeofI–Vcurves,includingthicknessoffilm,sizeofnanoparticles,viscosityoftheliquidelectrolyte,andthechargediffusioncoefficientofsolidelectrolyte.Whenastableandhighviscosityionicliquidwasusedasanelectrolytesolvent,thesamplingdelaytimewasfoundtoalsoaffectJscvalue.InourI–Vmeasurement,thesameobservationwasmadeandFig.2ashowedtheI–VcurvesforaDSSCwithanionicliquidelectrolytewithnormalscanandreversescanunder100mW/cm2oflightillumination.AlloftheperformanceparametersofDSSCincludingVoc,JscandFFfromnormalscanswerelowerthanthoseforreversescans.Withanincreaseinthesamplingdelaytime,theJscoftheDSSCfrombothnormalandreversescanwasgraduallydecreased,andoneoftheseisshowninFig.2b.Therefore,ithasbeenfoundthatalongersamplingdelaytimeisrequiredforareliableI–VcurvemeasurementinDSSC,whichisusuallymorethan40mswhereanacetonitrile-basedliquidelectrolyteisused.IfahighviscosityionicliquidwasusedinDSSC,thesamplingdelaytimeshouldbelonger,dependingontheviscosityofionicliquid.

4Cyclicvoltammetry

CVisapotentiodynamicelectrochemicalmethod.Itisoftenusedtostudyvariousredoxprocessestodetermine

thereversibilityofareaction,thepresenceofintermediatesinredoxreactions,electrontransferkinetics,thestabilityofreactionmediumsandmanymorereactionparameters.InDSSC,CVtendstobeusedtodeterminethedensityofstates(DOS)ofthenanoporoussemiconductorfilms[38,39]andoftheorganicholetransportmaterialfilms[40,41],estimatetheenergylevelsofthedyemolecules[2,42–44]andtheredoxcouples[45,46],andevaluatetheelectrocatalyticactivityofthecounterelectrodes[47–49].ItiswellknownthattheDOSdescribesthenumberofstatesavailableforoccupationbyelectronsatanenergylevelwhichwillaffecttheattainablemaximumphoto-voltageandthechargetransferkineticsofelectronsinDSSC.Fabregat-Santiagoetal.[38]developedamodeltoaccountforthefundamentalcharacteristicsofnanoporoussemiconductorelectrodes,whichcanbeidentifiedandclassifiedbymeansofCV.Accordingtothismodel,theydescribedsomesimplemethodstoquantifytheDOSandabsoluteenergylevelsofnanoporousTiO2electrodesbyfittingexperimentalCVdatatotheirowndata.Theycal-culatedtheDOSinthebandedgetailandenergylevelsEcofnanocrystallineTiO2inaqueoussolutionatpH3and11fromCVdata.Theresultscorrelatedwellwiththoseob-´a-Can˜adasetal.[41]tainedusingEIS.Inaddition,Garcı

usedCVtoestablishenergylevelsoftheholeconductorspiro-OMeTADandfoundthatitsenergylevelswerechangedwhenitwasdepositedonindium-dopedtinoxide(ITO)toformafilm.TheirresultsalsoshowedthattheHOMOlevelofoxidizedspiro-OMeTADwaswellcoupledwiththeHOMOleveloftheN719dyeusedintheDSSCandthatthedopinglevelmeantthatthematerialhadahighholeconcentrationallowingittoactasaneffectivesolidelectrolyteinthesolid-stateDSSC.

Conventionally,thedyemoleculesusedinDSSCshouldhaveamorenegativeLUMOlevelthantheconductionbandedgeofthesemiconductorphotoanode(suchasTiO2,Ecb)inordertoensureaneffectiveelectroninjectionpro-cessfromtheexciteddyemoleculestotheconductionbandofthesemiconductorphotoanode.Meanwhile,theHOMOlevelofdyemoleculesshouldbemorepositivethantheredoxpotentialoftheredoxcoupleintheelectrolytetoensureregenerationoftheexciteddyemolecules.Inordertomeasuretheenergylevelsofthedyemolecules,thebandgaps(Eg)aremeasuredusingtheUV–Visabsorptionspectra,whiletheHOMOandLUMOlevelsareestimatedfromCVusinganinternalstandardmethod.Subsequently,theLUMOorHOMOlevelcanbecalculatedbytheequation:ELUMO=EHOMO-EgorEHOMO=ELU-MO?Eg.FortheCVmeasurement,thedyemoleculesarefirstlydissolvedinaninertelectrolyte,whichtendstobeanorganicsolution(commonsolventsinclude:acetonitrile,dimethylformamide,dichloromethane,tetrahydrofuranandsoon)combining0.1mol/Ltetrabutylammonium

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Fig.2(Coloronline)TheI–VcurvesofDSSCwithionicliquidelectrolyte(a)innormalscan(from-0.2to1.0V)andreversescan(from1.0to-0.2V)under100mW/cm2lightillumination,(b)inreversescan(from1.0to-0.2V)withdifferentdelaytime.Theredoxelectrolyteusedinthestudywasanionicliquidcontaining0.60mol/L1-butyl-3-methylimidazoliumiodide(BMIM-I),0.03mol/LI2,0.50mol/L4-tert-butylpyridine(TBP),and0.10mol/Lguanidinthiocyanate(GTC)inamixtureofacetonitrileandvaleronitrile(v:v=85:15)

hexafluorophosphate(TBAPF6),withaferrocene/ferroce-nium(Fc/Fc?)redoxcoupleasaninternalreference.Generally,theworkingelectrodeisaninertelectrode,suchasglassycarbonandgoldelectrode,Ag/Ag?isoftenap-pliedasthereferenceelectrode,andPtisoftenusedasthecounterelectrode,toformathreeelectrodetestingsystem[50–53].BeforetheCVtest,theO2inthesolutionshouldberemovedbybubblingargongas.Figure3isatypicalcyclicvoltammogramofdyemolecules[53].Inthiscyclicvoltammogram,thereisareversibleoxidationwaveonthepositivevoltage.TheHOMOlevelofthisdyecanbecalculatedbytheequation:HOMO=-e(Eox-Eox)Fc=Fcþ-4.77eV(Ag/AgClasreferenceelectrode,theEFc=Fcþ=4.77eV[54]).Onthenegativevoltage,therearetworeversiblereductionwaves,andinthesameway,theLUMOlevelofthisdyecanbecalculatedbytheequation:LUMO=-e(Ered-Ered)-4.77eV,wheretheEredisFc=Fcþ

thefirstreversiblereductionwavenearthepositivevoltage.

Fig.3CyclicvoltammogramofN621complexmeasuredinDMFsolutioncontaining0.1mol/LTBA(PF6)usingagoldelectrodewithscanspeedof500mV/s.ReprintedwithpermissionfromRef.[53].Copyright2005AmericanChemicalSociety

Theredoxpotentialofthedyeinsolutionisusuallyun-changedbypH.However,bymeansofCV,Zabanetal.[42]showedthatwhenthedyeisadsorbedontothesurfaceofthephotoanode(TiO2),itsredoxpotentialbecomepH-dependent.

CVcanbealsousedtoinvestigatetheelectrontransferkineticsandtocalculatediffusioncoefficientsofredoxcouplesatcontactelectrodes,suchasthePtcounterelectrodeinDSSC.Cameronetal.[45]investigatedtheelectrontransferkineticsoftheredoxmediatorCo(III)/Co(II)(db-bip)2(dbbip=2,6-bis(10-butylbenzimidazol-20-yl)pyridine)inamixedacetonitrile/ethylenecarbonatesolventusingaplatinumandgoldinlaiddiskelectrodeastheworkelectrode.Theyfoundthecyclicvoltammogramhadaquasi-reversiblewavewiththeexchangecurrentdensityatthePtelectrodelowerthantheconventionalI3-/I-couple,indicatingrelativelyslowelectrontransferkinetics.Inaddition,thediffusioncoefficientoftheCo(III)/Co(II)complexwases-timatedbylookingattheoxidationpeakcurrentdensityandthesweepratewasfoundtobeminimal.Bothofthesewerefoundtobelimitedintheirachievementofahigh-perfor-manceDSSCwiththeCo(III)/Co(II)redoxmediator.

ThecommoncounterelectrodeusedinDSSCisPt/FTO,whichexhibitshighphotoelectricconversionefficiency.However,Ptisahigh-costnoblemetalandmaynotbeeffectiveforotherredoxcouplesexcepttheI-/I3-couple[48,55,56].Therefore,avarietyofmoreeconomicalcounterelectrodeswithhighelectrocatalyticactivityhavebeendevelopedtotakeplaceoftheconventionalPtelec-trode[47–49,57].OneeffectivemethodtoevaluatetheelectrocatalyticactivityofcounterelectrodesisbyusingCVmeasurement.Figure4givesatypicalcyclicvoltam-mogramoftheoxidationandreductionofanI-/I3-redoxcoupleusingPtandfunctionalizedgraphenesheets(FGS)

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ascatalyticelectrodes[47].Usually,agoodelectrocatalyticelectrodeforanI-/I3-redoxcouplehastwopairsofredoxpeaks,withthehighpotentialone(Aox/red)attributedtotheredoxreactionofI2/I3-,andtheother(Box/red)attributedtotheredoxreactionofI-/I3-.Theequationisasfollows[58]:

3I2þ2eÀ$2IÀ3;

ÀÀIÀ3þ2e$3I:

ð2Þð3Þ

Inacyclicvoltammogram,thepeaktopeakseparation(DEp)isnegativelycorrelatedwithastandardelectrochemicalreactionrate,whichisrelatedtotheredoxreactionratesofI2/I3-andI-/I3-.Inaddition,theelectrontransferratecanbecalculatedfromDEpbythetheorygivenbyNicholson[59]in1965.ThetheorystatesthatwhenDEpissmaller,theredoxreactionisfaster,indicatingahigherelectrocatalyticactivity[59,60].InFig.4,thePtelectrodeshowedasmallerDEp,correspondingtoabettercatalyticactivityoftheI-/I3-coupleandahigheroverallperformanceoftheDSSC.Inaddition,thepolishedtitaniumelectrodedidnotshowanyredoxpeak,suggestingthatitdidnothaveaproperelectrocatalyticactivityfortheI-/I3-reaction.

Weevaluatedtheelectrochemicalcatalyticactivityof

-Cu2S-basedcounterelectrodesforS2-/S2xsystembyCVanalysis,andtheresultswereshowninFig.5[61].Inthecyclicvoltammogram,thereductionpeaksinthelowpo--tentialrepresentedthereductionofS2toS2-andthexoxidationpeakinthehighpotentialrepresentedthe

oxidationofS2-ionsinthepolysulfideelectrolyte.Here,thereductionpeakcurrentsinthelowpotentialaredirectindicationsoftheelectrocatalyticabilityofthecounter

-electrodeforS2reduction.ThereductionpeakcurrentxdensitiesofCu2SandRGO–Cu2SelectrodeswereevidentlylargerthanthoseofthePtelectrode,indicating

-theyhadbetterelectrocatalyticactivityforS2xreduction.Aboveall,wecanfindtheCVmethodiswidelyusedinallpartsofDSSC,asaneffectivemethodfortherapidevaluationofcomponentsandmaterialsforDSSC.5Electrochemicalimpedancespectroscopy

EISisanimportantelectrochemicaltechniquewithwide-spreadapplication.Initially,itwasusedfordeterminingresistanceanddouble-layercapacitance.Now,EISisap-pliedtomorecomplicatedsystem,suchaselectrodepro-cessesandcomplexinterfaces.InDSSC,EIShasbecomeapowerfultoolusedtoinvestigatethekineticsofchargetransportandelectron–holerecombination[62–72]andto

Fig.4Cyclicvoltammogramsobtainedatascanrateof50mV/sfortheoxidationandreductionoftheI2/I3-andI-/I3-redoxcouplesusingpolishedtitaniumrodelectrodesloadedwith12lgofplatinumandFGS13.Thevoltammogramforablankpolishedtitaniumrodisalsoshown.AoxandAredindicatetheoxidativeandreductivepeaksfortheI2/I3-couple,whileBoxandBredindicatetheoxidativeandreductivepeaksfortheI-/I3-couple.ReprintedwithpermissionfromRef.[47].Copyright2010AmericanChemicalSociety

Fig.5(Coloronline)aCyclicvoltammogramofPt,Cu2SandRGO–Cu2SinamixtureofmethanolandDIwater(3:7,v:v)containing0.5mol/LNa2S,0.2mol/LS,and0.2mol/LKCl.bMagnifiedcyclicvoltammogramofPtcounterelectrodefrom(a).ReprintedwithpermissionfromRef.[61].Copyright2014WILEY-VCHVerlagGmbH&Co.KGaA,Weinheim

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evaluatetheelectrocatalyticactivityofcounterelectrodes[47–49,73].

Earlyon,EISwasemployedtoanalyzethepotentialdistributioninthenanoporousTiO2electrodes[72,74],andtheresultsshowedthattheappliedpotentialwasunequallydistributedthroughoutthenanoporousTiO2–electrolyteinterface,whichwouldmakesomeimplicationsfortheoperationofDSSC.In2001,afinitesetofpossiblebe-haviorsinthefrequencydomainwithinathinlayerwaspresumedandreportedbyBisquert[68].Thiswasdoneusingadiffusion-recombinationmodelwithfourtypesofboundaryconditions.Sincethen,thisnovelmodelhasbeenwidelyusedtoanalyzeEISdataofDSSC.InFig.6,wecouldseethecompletedgeneraltransmissionlinemodelofDSSC[63].ForanoptimizedDSSC,athinTiO2compactlayerispreparedtoinsulatethetransparentconductiveoxide(TCO)surfaceandelectrolyte,andtheconnectionbetweenTCOandTiO2isextremelycompact.Sothecharge-transferresistanceandthecorrespondingdouble-layercapacitanceattheexposedTCO–electrolyteinterface(RTCO/CTCO)andattheTCO–TiO2contact(RCO/CCO)canbeignored.ThemodelcouldbesimplifiedfurtherandatypicalEISspectrumisalsoshowninFig.7[70].InaNyquistplot,thereareasmallsemicircleinthehigh-fre-quencyrange(theleftintheNyquistplot)andalargesemicircleinthelow-frequencyrange(themiddleintheNyquistplot).Occasionally,athirdsemicircleappearsinthelow-frequencyregion(therightintheNyquistplot).Thesmallsemicircleiscorrelatedtotheelectrolyte/Ptcounterelectrodeinterface,andthelargersemicircleisassociatedwiththeporousTiO2/electrolyteandtheTCO/TiO2interface.Inaddition,thelargersemicircleispre-dominantlyassociatedwithchargetransferinthe

TiO2/electrolyteinterface,seenfromfurtheranalysisoftheappliedbiasdependenceoftheresistanceandcapacitanceofthelow-frequency(large)semicirclefromtheEISdata[70].Thethirdsemicircleiscorrelatedwiththediffusionprocessinthecell.Theimpedancefunctioncanthereforebeexpressedas[68,75,76]:

\"󰀂󰀃1=2󰀂󰀃1=2#

1RtRctix

Z¼cothðxk=xdÞ21þ;ð4Þ

xk1þix=xkwhereRtistheelectrontransport(diffusion)resistance,Rctisthechargetransfer(recombination)resistance,xistheangularfrequencyandi=(-1)1/2;xdisthecharacteristicfrequencyofdiffusioninafinitelayer(xd=Dn/L2=1/(RtCl))andxkistherateconstantforrecombination(xk=1/(RctCl))

Forahigh-performanceDSSC,RctismuchlargerthanRt.Inthiscase,theimpedancespectrumwillhaveasmallWarburgpartathighfrequencyandalargesemicircleatlowfrequency,soEq.(4)canbereducedtoexpressedas1RctZ¼Rtþ:

31þix=xk

ð5Þ

Ontheotherhand,foralow-efficiencyDSSC,Rt[[Rct,thegeneralimpedancebecomesGerischerimpedanceandtheEq.(4)canbereducedtoexpressedas

󰀂󰀃1=2

RtRct

Z¼:ð6Þ

1þix=xkTherefore,Rt,Rct,andClcouldbeobtainedbyfittingtheEISdata.Inaddition,variousimportantevaluationparameters,suchaselectrondiffusioncoefficient(Dn),electronlifetime(sn)andelectrondiffusionlength(Ln),couldalsobecalculatedbytheequations:Dn=L2/(RtCl),sn=RctCl,Ln=(Dnsn)1/2,respectively[63].

Conventionally,theEIStestinDSSCiscarriedoutatopencircuitpotentialorlowpotentials(\\0.8V),inordertoobtaincomparableuniformitytoarealsystem.Wangetal.[71]performedEISmeasurementsonDSSCbothindarkandunderilluminationatopencircuitpotential,andtheyfoundthattheimpedanceofchargetransferintheTiO2/electrolyteinterfacewasfarsmallerunderillumina-tionatopencircuitpotentialthanthatunderthesamebiaspotentialindark,becausetheelectronprocessesoccurringintheDSSCindarkandunderilluminationweredifferent,leadingtoadifferentlocalconcentrationofoxidizingsubstances(I3-).Whenthedevicewasoperatedundertheilluminationoflightatopencircuitpotential,therewasnonetcurrentflowingthroughtheDSSC.AlloftheelectronsintheconductionbandoftheTiO2injectedfromtheex-citeddyesarethoughttoberecombinedbytheoxidizingsubstances(I3-)intheelectrolyte,andtheexciteddyesareregeneratedbythereducingsubstances(I-).Inthiscase,

Fig.6(Coloronline)GeneraltransmissionlinemodelofDSSC.rctisthecharge-transferresistanceofthechargerecombinationprocessbetweenelectronsinthemesoscopicTiO2filmandI3-intheelectrolyte;ClisthechemicalcapacitanceoftheTiO2film;rtisthetransportresistanceoftheelectronsintheTiO2film;ZdistheWarburgelementshowingtheNernstdiffusionofI3-intheelectrolyte;RPtandCPtarethecharge-transferresistanceanddouble-layercapacitanceatthecounterelectrode(platinizedTCOglass),respectively;RTCOandCTCOarethecharge-transferresistanceandthecorrespondingdouble-layercapacitanceattheexposedTCO–electrolyteinterface,respectively;RCOandCCOaretheresistanceandthecapacitanceattheTCO–TiO2contact,respectively;Rsistheseriesresistance,includingthesheetresistanceoftheTCOglassandthecontactresistanceofthecell.ReprintedwithpermissionfromRef.[63].Copyright2006AmericanChemicalSociety

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Fig.7aTypicalEISNyquistplotofDSSC.TheinsetisBodeplotforthesamedata.Thecellwasbiasedat0.7Vindark.Theredoxelectrolytecontained0.5mol/LLiI,0.05mol/LI2and0.5mol/LTBPinacetonitrile.bEquivalentcircuitofthecellconsistingofthecounterelectrode(CE)/redoxelectrolyteinterfaceandtheTiO2/redoxelectrolyteinterface,whereRCEandRctarethechargetransferresistances,RsisthesheetresistanceofTCOandPtcounterelectrodeandtheresistanceoftheelectrolyte,andCCEandCaretherespectiveconstantphaseelements

theoxidizingsubstances(I3-)canbeobtaineddirectlybydyeregenerationattheTiO2/electrolyteinterface.How-ever,forDSSCindarkunderabiaspotential,theelectronsarefromtheexternalpowersupplyandtheyareinjectedintotheconductionbandoftheTiO2.Theseelectronsarealsoreactedwithoxidizingsubstances(I3-)intheelec-trolyte,andtheconsumedoxidizingsubstances(I3-)aresuppliedatthecounterelectrode,whichrequiresamasstransferprocessbydiffusion.Fabregat-Santiagoandco-workers[63,76]measuredtheEISofhigh-efficiencyDSSCsatdifferentpotentialstostudythetrendsofthemainimpedanceparameters.TheresultsshowedthatbothRtandRctdecreasedwithanincreaseinthebiaspotentialsbyanexponential,whileClwasjusttheopposite.How-ever,thechangeinDnwasstillthesameasthatofRt.Theseresultscanbeexplainedwellbytheclassicalmul-tipletrappingmodel[77].TheyalsoexhibitedthedataunderalightilluminationandpointedoutthattheRtandRctvaluesweresmallerthanthoseindarkatthesomepotential,butthechangingtendsofthemwithdifferentelectrolytesystemsweresimilar.Inordertogetinforma-tiononDSSCintheboundarycondition,ahigherpotentialbeyondtheopencircuitpotentialwasusedforatestsystembyHeetal.[78].TheycarriedoutEIStestsonDSSCathighpotentials(0.925–1.225V).Inthiscase,theFermileveloftheTiO2wouldbeveryhigh,resultinginahighfreeelectrondensityintheconductionband.TheirresultsrevealedthatDnstillexhibitedaslighttendtoincreaseatthepotentialsbelow1.0V,butbothDnandsnmaintainednearlyconstantlevelsinhighpotentialranges.

Usingtheseparametersmentionedabove,researcherscancompareelectrontransportanddiffusionpropertyatdifferentphotoanodesinDSSC,suchasphotoanodesmadeofdifferentmaterials(e.g.,TiO2orcombinedoxides)

[79–87],differentmorphologiesanddifferentstructures(e.g.,nanoparticles,nanotubes,nanorods,orcomplexstructures)[88–96],differentcrystalforms(e.g.,anataseandrutileforTiO2)[97],anddifferentsubstrates(e.g.,rigidorflexible)[90,98].Forinstance,weusedEIStocomparetwodifferentmicrospheresphotoanode-basedDSSC,andtheobtainedNyquistplotswereshowninFig.8[99].Intheplots,threesemicirclescanbeclearlyseen,whichwererelatedtothecounterelectrode/electrolytein-terface,TiO2/electrolyteinterfaceandtothediffusionprocessofredoxsubstances,respectively.Theresistancesfromthecounterelectrode/electrolyteinterface(R1)wereclosedfromeachother,duetotheuseofthePtcounterelectrodepreparedinthesameway.Thesmallercontactseriesresistance(Rs)ofwithpolyethyleneglycol(PEG)-basedDSSCshowedabettercontactbetweentheTiO2microspheresandtheFTOsubstrate.Inaddition,thehigherresistancefromtheTiO2/electrolyteinterfacesignifiedalowerrecombinationrateofelectronsfromtheTiO2totheI3-intheelectrolyte,comparedtothewithoutPEG-basedDSSC.Finally,thesmallermasstransportresistance(R3)ofwithPEG-basedDSSCimpliedamoresuperiormassdiffusionchannelthanwithoutPEG-basedDSSC.AlloftheseresultsindicatedthatPEG-basedDSSChadabetterelectroncollectionefficiencyandledtoahigher-perfor-manceDSSC.

Besides,EISisalsoapowerfultechniqueusedtostudytheinfluenceofdifferenttyperedoxcouplesandelec-trolytesontheperformanceofDSSC[66,71,76,100–102].UsingEISmeasurement,Fabregat-Santiagoetal.[76]determinedtheparametersofelectrontransport,ac-cumulationandrecombinationinDSSCwiththreediffer-entelectrolytesandfoundthatelectrolytecompositionscouldaffecttheconductionbandedgebychangingthe

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Fig.8(Coloronline)Nyquistplot(fittedbasedontheequivalentcircuitshownastheinset)ofrutileTiO2microspherefilmpreparedbyachemicalbathprocessfor12hwithoutandwiththepresenceof0.50gofPEG14000,respectively.Thedatafittedfromthemeasurement.EISmeasurementswerecarriedoutinthedarkunderopencircuitpotential.ReprintedwithpermissionfromRef.[99].Copyright2014AmericanChemicalSociety

transportresistanceandchargeaccumulationinTiO2.Meanwhile,theyalsostudiedtheelectrontransportmechanismsinDSSCwithasolid-stateelectrolyte(spiro-OMeTAD)andfoundtheywereverysimilartotheDSSCwithaliquidelectrolyte[66].TheEISdataindicatedthattheelectronrecombinationratewasmuchhigherinthesolid-stateDSSC,resultinginalowperformanceofcelldevices.

Forthehigh-frequencyregion,asmallsemicirclerep-resentsthecharge-transferresistance(RPt)andinterfacialcapacitance(CPt)attheelectrolyte/Ptcounterelectrodeinterface,whichcanbeusedtoevaluatetheelectrocatalyticactivityofcounterelectrodesfortheredoxcouplesintheelectrolyte.FromthefittedEISdata,RPtandCPtcanbeobtained.WherethevalueofRPtwasfoundtobesmaller,theelectrocatalyticactivityofthecounterelectrodeswasbetter.Inaddition,theEIScharacteristicsofthecounterelectrodeswereusuallycarriedoutusingasymmetricalelectrochemicalcell,showninFig.9a,whileFig.9bistherelatedequivalentcircuitmodel[73,103].Rsistheseriesresistance,Rctisthechargetransferresistanceatthecounterelectrodes/electrolyteinterface(therearetwoofthesameinterfacesinthissymmetricalelectrochemicalcell,2Rct),andCCEisthedouble-layercapacitanceatthecounterelectrodes/electrolyteinterface.ThevalueofRctcoulddirectlyindicatetheelectrocatalyticactivityoftheelectrodes,andthesmalleritis,thebetter.HauchandGeorg[73]usedthiscellandmodeltocharacterizetheelectrocatalyticactivityofPt/FTOelectrodesproducedusingdifferentdepositionmethodsinelectrolytescon-tainingI-/I3-redoxcoupleswithdifferentadditivesandsolvents.TheresultsshowedthattheRctofPtislowerthan5X/cm2whereacetonitrilewasusedasasolvent.ThisvaluemeansthatthePtisgoodenoughtobeusedasa

counterelectrodeinacommercialDSSC[73].WhennewcounterelectrodesforDSSCaredeveloped,theirRctvaluesareconventionallytestedbyEISandthenmakeacom-parisonwithPttoevaluatetheircatalyticactivity.Forexample,Wuetal.[48]developedavarietyofeconomicalPt-freecatalystsascounterelectrodematerialsandthencalculatedthecorrespondingRctvaluesfromEISdata.Theyobservedthatthecompositematerial(VC–MC)cat-alystcoatedelectrodehadthelowestRct(2.9X/cm2),considerablylowerthanthatofaPt/counterelectrode(4.7X/cm2)andthuswereusedascounterelectrodesforDSSC,achievingahigherphotoelectricconversioneffi-ciency,comparedtothePt-basedDSSC.Inourwork,wealsousedtheEISmethodtoevaluatetheelectrocatalyticactivityofdifferentcounterelectrodesforSx2-reductionbymeasuringtheRct[61,104].Theresultsshowedthatbyusingasulfide(e.g.,Cu2S,Co9S8)asacounterelectrode,considerablylowerRctcouldbeachievedwhencomparedtotheuseofaPt/counterelectrode,revealingthepossi-bilityofhighelectrocatalyticactivityinpolysulfideelectrolyte.

Toconclude,EISisanextremelyusefulelectrochemicaltechniqueusedtostudyDSSC.Amultitudeofkeypa-rameterscanbededucedbyestablishingappropriatemodelsandequivalentcircuitstounderstandtheelectronprocessesinDSSC,includingelectrontransport,chargetransferatphotoanodeandcounterelectrode.

6IMPSandIMVS

IMPSandIMVSarephotoelectrochemicaltechniquesbasedonacontrollablemodulationofincidentlightintensity.Whenamodulationoflightisapplied,aphotocurrentor

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858Sci.Bull.(2015)60(9):850–863

Fig.9(Coloronline)aThesymmetricalelectrochemicalcellusedfortheEISmeasurements.bTherelatedequivalentcircuitmodel

photovoltageresponsecanbemeasuredasafunctionofmodulationfrequency,whichisfairlysimilartotheEISmethod.Theywereprimarilyusedforsinglecrystalsemi-conductorelectrodes[105–107]andnanocrystallinesemi-conductorelectrodes[108,109].Theirusewasthenextendedtothestudyofelectrontransport,chargetransfer,andtherecombinationprocessesinDSSC[70,110–113].Dlocziketal.[110]developedatheoreticalanalysismodelforIMPS,whichoffersinformationonelectrontransport,electrontrapping,andtherecombinationprocessesinDSSC.Fromthetheoreticalmodel,themeasuredIMPSresponseUhasthefollowingform:UðxÞ¼UintðxÞAðxÞ;

ð7Þ

whereA(x)isaRCtimeconstantattenuationfactorgivenbyAðxÞ¼

1ÀjxRC

;

1þx2R2C2ð8Þ

redoxsubstancesintheelectrolytewereconsideredbythistheoreticalmodel.Fromthemodel,avarietyofanalyticalexpressionsforphotovoltageresponsewiththefrequencyatopencircuitvoltagewerederivedtoofferinformationofcharge-recombinationkineticsandbandedgemovementinDSSC.Thetimeconstant(s)forchargerecombinationcanbeobtainedusingthismethodbyfittingthephotovoltageresponsewiththefrequencyexpressedas

ÃÃÀM1ÀM2

ReðDVocÞ¼þ;2s21þx2s21þx12ÃÃ

M1xs1M2xs2

ImðDVocÞ¼þ;

1þx2s21þx2s212

ð11Þð12Þ

Uintisthephotocurrentconversionefficiencyconsidering

illuminationfromthesubstratesideanddiffusion-controlledlimit,definedas

ecdÀeÀcdþ2aejphotoaÁUintðxÞ¼¼

aþcqIoecdþeÀcd

Àad

ÀeÀcd

cÀa;ð9Þ

*whereM*1andM2arescalefactors.Ifonlyonesemicircle

*appearsonthefrequencyresponseregion,M*1orM2inEqs.(11)and(12)canbesettozero.

Meanwhile,PeterandWijayantha[114]usedtheelec-trondiffusionlength(Ln)toevaluatethecollectionprop-ertyofelectronsbydiffusionfromthesemiconductor(TiO2)tothesubstratewiththeeffectofbackreactionsofthephoto-injectedelectronsandoxidizingsubstances(I3-)intheelectrolytetakenintoaccount.TheLnisgivenbythefollowing:

pffiffiffiffiffiffiffiffiffiffiLn¼Dnsn;ð13Þ

whereaistheeffectiveabsorptioncoefficient,disthefilm

thickness,andcisgivenby

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffis󰀂󰀃1ixþc¼;ð10ÞDsDwhereDistheelectrondiffusioncoefficientandsistheelectronlifetime.Consideringtheeffectsofelectrontrapping,whentheelectrontrapping/detrappingrateisfast,Dandscanbereplacedbytheeffectiveelectrondiffusioncoefficient(Deff),andtheeffectiveelectronlifetime(seff)respectively.Usingtheseequations,theeffectsofa,D,s,andRConthephotocurrentresponsecanbeexamined.Atthesametime,atheoreticalanalysis

¨rletal.[111].modelofIMVSwasdevelopedbySchlichtho

Electrontransferandchargetrapping/detrappingfromtheconductionbandandsurfacestatesofthesemiconductorto

whereDnistheelectrondiffusioncoefficientandsnistheelectronlifetime.snrepresentsthetimeconstantforchargerecombinationatopencircuitvoltagewhichcanbeob-tainedfromIMVSmeasurementandtheDnisrelatedtosdwhichrepresentsthetimeconstantforthecombinedpro-cessesofchargecollectionandrecombinationatshortcircuitcurrentwhichcanbeobtainedfromIMPSmea-surementinDSSC.Figure10givesthetypicalIMPSandIMVSplotsforDSSC,andthesdandsnvaluescanbeestimatedass=1/xmin=1/2pfminfromIMPSandIMVS,respectively.xministhefrequencyatwhichtheimaginarypartreachesamaximumvalue.AndtheDnvaluecanbeestimatedfromsdasDn=d2/(2.35sd)[115],wheredisthethicknessoftheTiO2film.

Fromthetheoreticalanalysismodelandtheresultsmentionedabove,wecandeducethatIMPSandIMVSare

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usefultoolstostudytheelectrontransportmechanismandchargetransferkineticsinDSSC.Dlocziketal.[110]measuredtheIMPSresponseofahigh-efficiencyDSSCandobtainedvaluesforDeffandseffbyfittingtheresultstoatheoreticalmodel.ThedatafromIMPSindicatedthattheelectrontransportinthenanoporousfilmwasmuchslowerthanthatinthebulkphase.Inaddition,Schlichthorletal.[111]measuredtheIMVSresponseofdye-coatednanocrystallineTiO2electrodeswithorwithouttreatmentbyTBP-basedDSSCs.ThedatafromIMVSrevealedthatthetimeconstantbetweenthephoto-injectionandrecom-binationofelectrons(electronlifetime)wassignificantlyincreasedaftertheTBPtreatmentofelectrodes,leadingtoanincreaseinelectrondensityintheTiO2conductionbandandthusresultinginahigherphotovoltageofDSSC.Be-sides,thedatafromIMVSalsorevealedsomedetailin-formationabouttherecombination,indicatingthattheelectronrecombinationprocessfromtheconductionbandinTiO2totheredoxintheelectrolytemainlyoccurredthroughthesurfacestatesinTiO2andtheelectrontrap-ping/detrappingprocesswereconsiderablefasterthantherecombinationprocess.PeterandWijayantha[114]alsostudiedelectrontransportandbackreactionprocessesinDSSCunderilluminationwithdifferentlightintensitiesusingIMPSandIMVS.TheresultsshowedthatDnin-creasedwithanincreaseinlightintensity,indicatinganimprovementintheelectrondiffusionrate.Furthermore,sndecreasedwithanincreaseinlightintensity,implyinganincreaseinthebackreactionrate.BothDnandsnaredoublelogarithmiclinearlydependentonlightintensity,whichcanbeexplainedbytheinfluenceofthetrapoccu-pancyandsurfacestatesinTiO2.However,forLn,thereisonlyaweaklydependenceonlightintensity,suggestingthebackreactionkineticsofelectronswithI3-maybesecondorderinelectrondensity.

Furthermore,IMPSandIMVSarewidelyusedforevaluatingdifferentphotoanodes(suchasdifferentmate-rials[116],differentcrystalforms[94,117],differentstructures[118–122]),dyes[85,123]andelectrolytes[85,124]inDSSCbycomparingtheirelectrontransportandrecombinationprocess.Parketal.[117]comparedelectrondiffusioncoefficientofrutile-andanatase-basedDSSCusingIMPS,findingthattheelectrontransportinrutileTiO2filmwasoneorderofmagnitudeslowerthanthatintheanataseTiO2film,whichrevealedtheanataseTiO2nanoparticlesweremoresuitableforDSSC.Quintanaetal.[116]alsousedIMPS,comparingtheelectrondiffusiontimeandlifetimeofZnO-andTiO2-basedDSSCs,ob-servingthattheelectrontransportinZnOandTiO2wasfairlysimilar,butthattheelectronlifetimeintheZnOfilmwaslongerthanthatintheTiO2film.Thisledtotheconclusionthat,theZnOnanoparticleshadalowerelectronrecombinationrate.Zhuetal.[118]alsoinvestigatedelectrondiffusiontimesandlifetimes,lookingatbothTiO2nanoparticleandTiO2nanotube-basedDSSCs.Theyfoundthattheelectrontransportwassimilarforthetwostruc-tures,butthattheelectronlifetimeintheTiO2nanotubesfilmwasoneorderofmagnitudelongerthanthatintheTiO2nanoparticlesfilm,revealingthattheTiO2nanotubeshadalowerelectronrecombinationrate,andthenim-provedthechargecollectionefficiencyinDSSC.Guillenetal.[85]studiedthreedifferentZnOconfiguration-basedDSSCconsistingoftwodyesandtwoelectrolytes.Inthiswork,EIS,IMPSandIMVSwereused.Theirresultsshowedthattheionicliquidelectrolyte-basedDSSChadshorterelectronlifetimeandelectrondiffusionlengththantheorganicsolventelectrolyte-basedDSSC,indicatingfasterrecombinationkinetics.Forthedifferentdye-basedDSSC,theyhaddifferentelectronlifetimeandelectrondiffusioncoefficient,buthadacomparableelectrondiffu-sionlength,whichsuggestedthatthemainlimitationforZnO-basedDSSCwasthepoorelectroninjectionproper-tiescomparedtothoseofTiO2-basedDSSC.Krugeretal.[124]usedIMPSandIMVSanddifferentlightintensitiestostudythechargetransportandbackreactioninsolid-stateDSSCusingspiro-MeOTADassolid-stateelectrolyte.

Fig.10TypicalIMPS(a)andIMVS(b)plotsforDSSCunderblueLED(kmax=447nm)illuminationwith100mW/cm2123

860Sci.Bull.(2015)60(9):850–863

Theresultsshowedthattheelectrondiffusioncoefficientincreasedandelectronlifetimedecreasedwithanincreaseinlightintensity,whichwassimilartoobservationsfortheliquidelectrolyte-basedDSSC.However,inthisstudy,theelectrondiffusionlengthremainedrelativelyconstantwiththechangeinlightintensity,suggestingthatthechangesinrateconstantforbothelectrontransportandbackreactionwerethesame.Theelectrontrappingmayhavealsoaf-fectedthechargetransfer,whichmeantthatthebackre-actionratewaslimitedbytheelectrontransportintheTiO2ratherthanbytheholetransportinthespiro-MeOTAD.Italsosuggeststhatagoodphotoanodewithfewerdefectsandsurfacestateswasrequiredforahigh-performancesolid-stateDSSC.

Definitely,IMPSandIMVSaretwopowerfultech-niquestostudyelectrontransportandchargetransferdy-namicsinDSSC.BytheanalysisofdatafromIMPSandIMVS,wecanfindthelimitingfactorsforelectroncol-lectingefficiencyandoptimizetherelatedelectrontrans-portandchargetransferprocessestoimprovetheoverallefficiencyofDSSC.

morepreciselydeterminedusingCVandUV–Visspec-trometryandthattheelectrocatalyticactivityofmaterialscanbeevaluatedbybothCVandEIS.Thestudyofelec-trontransferdynamicsoftenemploysmanycharacteriza-tiontechniquescombinedtogether,suchasIMPS/IMVS,photoinducedabsorptionspectroscopy,time-resolvedtransientabsorptionspectroscopy,andmanymore.There-fore,bycombiningtheseelectrochemicalmethodswithotheradvancedtechnologies,wecangainfurtherinsightsintothepropertiesofDSSC.Furthermore,electrochemicalmethodscanbeusedforothersystems,suchasquantumdotsensitizedsolarcells,organicsolarcellsandperovskitesolarcells,todeepenourunderstandingofsolarcelltechnologyasawholeandoffermoreusefulinformation.

AcknowledgmentsThisworkwassupportedbytheNationalNat-uralScienceFoundationofChina(51072170,21321062)andtheNationalBasicResearchProgramofChina(2012CB932900).Conflictofinterestofinterest.

Theauthorsdeclarethattheyhavenoconflict

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7Conclusionsandoutlooks

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