半导体物理与器件第三版(尼曼)04章答案

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1、rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter4SolutionsManualProblemSolutionsChapter4ProblemSolutions4.12372F−EgIF58310.xIF300ILF11IOnNiC=NVexpHG2KJ=−−HKexpEgHKHGkTKJ18210.x200NM00259..001727QP(a)Siliconor−311TK()°kT()eVncmibg102610..xE=3375exp()19.29gwhichyields4

2、200001727.7.6810xEe=125.V12g400003453.2.3810x14ForTK=300,60000518.9.7410x723F−125.Ib58310.exNg=afN()300xpCOVOHK(b)Germanium(c)GaAs00259.bg−3−3orTK()°ncmncmibgi29NN=11510.x10COVO2002.1610x138.14940086010.x32810.x4.5161260038210.x57210.xL−−aEEFfO(a)gf∝−EEexpCFCNMkTQP4.2L−−aEECCfOL−−aE

3、EFfO∝−EEexpexpF−EIC2gNMkTQPNMkTQPnN=NexpiCVHGKJkTLetEEx−≡C3Then1221919FTIF−112.Ibgbgbg10=2.810xx10410.eHKxpHKF−xI300kTgf∝xexpCFHKThenkT3Now,tofindthemaximumvalueF112.I14FTIexpHK=bg2.91210xHKdgfaCFf1−12/F−xIkT300∝xexpHKdx2kTBytrialanderrorTK=381112/F−xI−⋅xexpHK=0kTkT4.3ThisyieldsComp

4、uterPlot12/1xkT=⇒x=12/4.422xkTThenthemaximumvalueoccursat23F−EgInNNT=⋅()⋅expkTiCOVOHGkTKJEE=+C2So(b)32nTafFTILF11IOi22L−−EEO=−expE−F2ggfEEaf1−∝−expafnTafHGTKJNMHGkTkTKJQPVFVi1121NMkTQPAtT2=⇒300KkT=00259.eVL−−aEEFVfOL−−aEEVfO∝−EEexpexpAtT=⇒200KkT=001727.eVV1NMkTQPNMkTQPThenLetEEx−≡V3

5、7rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter4SolutionsManualProblemSolutionsThenF−xIL−−()112.OL+020.OgfxVFaf1−∝expHK=exp=expkTNM200259().QPNM200259().QPTofindthemaximumvalueordgVFaf1−fdLF−xIOnA()∝xexp=0idxdxNMHkTKQP=47.5nB()iSameaspart(a).MaximumoccursatkTx==−EE

6、4.9V2ComputerPlotorkT4.10EE=−V2*3FmIpEE−=kTlnFimidgap*4HGmKJn4.6**L−−afEE1COSilicon:mmpO==056.,.mmnO108EE−exp1CnEaf1NMkTQPEEFi−=midgap−00128.eV=nEaf2L−−afEE2CO**EE−expGermanium:mm==037.,.mm0552CpOnONMkTQPEE−=−00077.eVwhereFimidgapkT**EEk=+4TandEE=+GalliumArsenide:mmpO==048.,.mmn0067

7、O1C2C2EE−=+0038.eVThenFimidgapnEaf14kTL−−afEE12O=exp4.11nEafkTNMkTQP2*3FmIp2(a)EE−=kTlnFimidgap*4HGmKJLF1IOn=−22exp4−=−22exp()35.NMH2KQP3F14.I=⇒()00259.lnHKor4062.nEafEE−=+00158.eV1Fimidgap=00854.nEaf(b)23F025.IEE−=()00259.ln⇒FimidgapHK4.74110.ComputerPlotEE−=−00288.eVFimidgap4.8F−E

8、I4.12gAexp2−−EE1FNI