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1、ElectronicSupplementaryMaterial(ESI)forNanoscaleThisjournalis©TheRoyalSocietyofChemistry2013ElectronicSupplementaryInformation(ESI)1)SupplementarycalculationmethodsduringtheevaluationofelectrochemicalperformancesA:Thecalculationmethodofspecificcapacitanc
2、einsingle-electrodetestsFirstly,thecharge(Q,C)obtainedfromCVcurveswascalculatedby(1)WherevisthescanratewithunitofVoltpersecond(V/s),I(V)isthecurrentresponseasthefunctionofappliedVoltage(V)withunitofAmpere(A).Usingequation(1),thechargesof3Dgraphene/carbon
3、nanotubes/MnO2(3DG/CNTs/MnO2)(Q1)and3DG/CNTs(Q2)werecalculated,respectively.Secondly,thespecificcapacitance(Cs,F/g)ofMnO2wascalculatedfrom(2)WhereQ1andQ2arethechargesof3DG/CNTs/MnO2and3DG/CNTsrespectively,misthemassloadingofactivematerialsinthecompositee
4、lectrodewithunitofgram(g),ispotentialwindowforthecharge/dischargeprocesswithunitofVolt(V).Similarly,thespecificcapacitanceofMnO2in3DG/MnO2wasalsocalculatedsimilarlyfromtheabovementionedequations.Additionally,thespecificcapacitanceofactivatedcarbon(AC)in3
5、DG/ACwasalsocalculatedfromtheabovementionedequationstoassembleoptimizedasymmetricsupercapacitor.B.TheoptimizingmethodtobalancethechargesonpositiveandnegativeelectrodesintheasymmetricsupercapacitorThechargesstoredbyeachelectrodedependsonthespecificcapacit
6、ance(Cs),thepotentialwindowforthe1charge/dischargeprocess()andthemassoftheactivematerialsinelectrode(m)followingtheEquationQ=Cs××m(3)So,thebalancebetweenthechargesonpositiveandnegativeelectrodescanberepresentedby++--Cs××m=Cs××m(4)Thatis=(5)Inourstudy,the
7、CswereobtainedfromtheCVs(showninFigureS6)ofsingleelectrodeat10mV/s,andtheyare239.3F/gand217.6F/gforthepositiveandnegativeelectrodes,respectively.Thepotentialrangesofpositiveandnegativeelectrodeswerefrom0to1Vandfrom-1to0V,respectively,sotheisequivalentas1
8、Vforthetwoelectrodes.Finally,0.92mgACwasmatchedin3DG/AC,accordingtotheequation(5)withtheknownmassofMnO2(0.84mg)inpositiveelectrode.ElectronicSupplementaryMaterial(ESI)forNanoscaleThisjournalis©TheRoyalSocietyofChemistry201
