1、第五章 非平衡載流子 習題解5.1題NoImageNoImagescmpUscmpUp3171010010313/10U100,/10613得：解：根據？求：已知：gpgpdtpdgAetpgpdtpdLLtL.00)2()(達到穩(wěn)定狀態(tài)時，方程的通解：梯度，無飄移。解：均勻吸收，無濃度5.2題題5.3題cmspqnqqpqnpqnpcmqpqncmgnpgppnpnpnpnL/06. 396. 21 . 0500106 . 1101350106 . 11010. 0:101:1010100.1916191600000316622光照后光照前光照達到穩(wěn)定態(tài)后%2606. 38 . 006. 3

2、500106 . 1109.,.32. 01191610puppppcm的貢獻主要是所以少子對電導的貢獻獻少數(shù)載流子對電導的貢5.3題題5.4題。后，減為原來的光照停止%5 .1320%5 .13)0()20()0()(1020seppeptpt5.5題cmsqnqupqnpppnnncmpcmncmpncmnKTnpni/16. 21350106 . 110:,/1025. 2,10/10.105 . 1,30019160000003403160314310無光照則設半導體的遷移率）本征空穴的遷移率近似等于的半導體中電子、注：摻雜有光照131619140010(/19. 20296. 016

3、. 2)5001350(106 . 11016. 2)(:cmcmsnqqpqnpqnqpnpnpn5.5題5.6題EFEcEiEvEcEFEiEvEFpEFn光照前光照前光照后光照后5.7題TkEEenpTkEEenncmNnpppcmnnnFPiioiFniDi01414152101420315141503/101010)105.1(10/101.11010度強電離情況，載流子濃0.0517eVPFEFE0.0025eVFEnFE0.289eV10101.51410Tln0kinDNTlnokiEFE平衡時0.229eV10101.51410Tln0kiEFPEiPPTln0kiEFPE0

4、.291eV10101.515101.1Tln0kiEFnEinnTln0kiEFnE 5.8題TkEEenppppppnrkEEennrpnrnTkEEenrnnrnsnNoFiitpoititntntoitintntntt001T,.小注入：由題知，從價帶俘獲空穴向導帶發(fā)射電子被電子占據復合中心接復合理論：解：根據復合中心的間5.8題不是有效的復合中心。代入公式很小。,11,;011tptnoFiitpnoFiipoitinNrNrpnpnEEEErrTkEEenrTkEEenr5.9題TkEEcTkEEcTkEEcTkEEcnptpniTiFVTTCoVFFceNpeNneNpeNnpp

5、nrrppprpnnrEEEESi0001100001010;)(N)()(:根據間接復合理論得復合中心的位置本征5.9題npntptnptpnptnTiFrNrNpnnrrNpnnrpnnrrNpnnrpnpnEEE11)()()()(000000001100所以：因為：5.10題sNrrAuSipsNrrASincmNtnnntpppt9168101617316106 . 110103 . 611106 . 8101015. 111u10決定了其壽命。對少子電子的俘獲系數(shù)中，型。決定了少子空穴的壽命對空穴的俘獲系數(shù)中，型5.11題產生復合率為負，表明有凈載流子完全耗盡，00, 0) 1 (

6、)()()(112112prnrnrrNUpnpprnnrnnprrNUpnipntpnipnt產生復合率為負，表明有凈結，（反偏，只有少數(shù)載流子被耗盡0)(),)2()()()(11200112prnnrnrrNUnnpppnpprnnrnnprrNUpnipntnnnnpnipnt5.11題復合復合率為正，表明有凈（0)()(),)3()()()(1122112pnrnnrnnrrNUnnpnpprnnrnnprrNUpnipntipnipnt5.11題03160340203160, 0, 0,10/1025. 2,10ppnpcmnncmnnpcmNniD5.12題題iTkEEvTkEE

7、viTkEEcTkEEcpnipntpnipntneNeNpneNeNnprnnrnrrNpprnnrnnprrNUovivicC0T00T111102112)()()()(5.12題題scmpprNnrnrrNnrnrnrnrrNpptnipntipinonipnt396400022/1025. 210101025. 2U5.12題題5.13題cmqTkDLqTkDqTkDnnnnnnonn18. 0103503600026. 0600：解：根據愛因斯坦關系5.14題241500/55. 510310400026. 0cmAxpTkxpqTkqdxpdqDJppPP5.15題sNrncmNS

8、ipgnxEnxnExnDtntnntppppp815831522106 . 110103 . 61110:遇到復合中心復合的復合中心內部摻有由于根據少子的連續(xù)性方程0, 0,2222nnnPDndxndnxndD達到穩(wěn)定分布無產生率無電場nnnLxLxDLBeAexnnn,)(:方程的通解為00000002)()(0)(,)0(, 0:nTkqnDqDnqDLnqDdxxndqDJenxnnxnnxnnnnnnonnnxnnLnx邊界條件5.16題pDqLpqDdxpdqDJDLepxppxcmpxpdxpdDppppxpppppLxppp00031322,)(0)(,10)0(, 00) 1 (邊界條件：性方程為過剩空穴所遵從的連續(xù)5.1610ln1010ln10101312012012ppLxLxLLxepeppp(2)5.17ppLpxppLpxpxppppppg