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1、rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter5SolutionsManualProblemSolutionsChapter5ProblemSolutions13−3Nx=4.6310cmd(d)5.1σµ≈⇒ep16−3pO(a)nc=10mO−19()001..=bg1610xp480andO2or2b1810.x6gni14−315p==⇒px==13010.cmN−N=N−10O16Oadan10Oor−−4315−3pxO=32410.cmNxa=11310.cm(b)Note:For
2、thedopingconcentrationsobtained,Jen=µΕtheassumedmobilityvaluesarevalid.nO16−3ForGaAsdopedatNc=10m,d5.32µn≈−7500cm/VsρLL(a)R==andσµ≈eNThenndAσA−19()()16Jx=bgbg1610.7500101016−32ForNxc=510m,µ≈−1100cm/VsdnorThen2JA=120/cm01.R=16−3−−43−−191642(b)(i)pc=10m,nx=32410.cmbgbgbg1610.xx()1100510()1001
3、0OO16−3or(ii)ForGaAsdopedatNc=10m,a42Rx=113610.Ωµ≈−310cm/VspThenJep=µΕpOV5−1916I==⇒Im=044.A=⇒b1610.xg()()31010bg104Rx113610.2(b)JA=4.96/cmInthiscase3Rx=113610.Ω5.2Then(a)VI=⇒=R10()01.R⇒V5R=100ΩI==⇒Im=4.4A3Rx113610.(b)(c)LLR=⇒=⇒σVσARAΕ=L−310σ=⇒5()−3For(a),Ε==50Vcm/10010bg010.−1Andσ=−001.()Ωc
4、m4v==µΕ()110050or()vx=5510./cms(c)dndσµ≈eNV5ndFor(b),Ε===500Vcm/orL001.−19()And001..=bg1610xN1350d5orvd=⇒()1100500()vxd=5510./cms53rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter5SolutionsManualProblemSolutionsThen5.4−4d10−11(a)GaAs:t==⇒txs=13310.t6tvx7.510ρLV10LdR====05.kΩ
5、=(b)AI20σASilicon:ForΕ=50kVcm/,Now6σµ≈eNvxd=9.510cm/spaThen17−32ForNc=10m,µ≈−210cm/Vsap−4d10−11Thent==⇒txs=10510.t6tvx9.510−19()17()−1dσ==bgbg1610..xc21010336Ω−m6GaAs,vxc=710m/sSod−8ThenLRA==σ()5003368510().bgx−4d10or−11t==⇒txs=14310.t6tLm=14.3µvx710d(b)Silicon17−325.7ForNc=10m,µ≈−310cm/Vsa
6、pForanintrinsicsemiconductor,Thenσµ=+enbgµ−19()17()−1iinpσ==bgbg1610.xc310104.96Ω−m(a)So14−3ForNN==10cm,−8daLRA==σ()5004.968510()bgx22µµ=−1350cm/,Vs=−480cm/VsnporLm=211.µThen−1910()σ=+bg1610..xxbg15101350480i5.5orV3−6()−1σ=−4.3910xcΩm(a)Ε===3/VcmiL1(b)418−3v10ForNN==10cm,ddav=⇒==µµΕdnn22Ε3µ
7、µ≈−300cm/,Vs≈−130cm/VsnporThen2µ=−3333cm/Vs−1910nσ=+bg1610..xxbg1510()300130i(b)orv==µΕ()8003()dn−6()−1σ=−10310.xcΩmori3vx=2.410cm/sd5.8(a)GaAs5.6−19σµ≈⇒ep51=b.61x0gµp(a)Silicon:ForΕ=1kVcm/,pOpOFromFigure5.3,andusingtrialanderror,we6vx=1210./cmsdfindThen