搜索
SolutionofChapter31E=EcE=Ec+100(h2/8mn*L2)22223/21/233221/21001003/23/22333/28833222(2)()4()1008(2)(2)21001000()4()4)383CCnnCCnCCCCnhhEEnnmLmLCCEEnCmgEVEEVLhhEEmLmmhZgEdELEEdELhhmLhkEEππππ∗∗∗∗∗∗++∗=−=∴→+∆==−=×=+∫∫Q*2222553203032010058100850044|332nCCnCCnLLmEEkhEEkmLLhEEkmLkVkdkLZZLVπππ∗∗∴=+=∴→+∆===∆∴==∆∫3E-EF1.5k0T4k0T10k0T00000exp()()exp()1.50.18218.2%()exp(1.5)0.22322.3%exp(1.5)40.01821.82%()exp(4)0.01831.83%exp(4)10FFFFFEEkTEEEkTEEkTEEEkTEEEkT−−=−−====−==−======−=0.0000450.0045%()exp(10)0.0045%exp(10)E====4C°27C°−78C°50053-2mn*mp*NcNv*3/20331233/2343193*3/20331233/2343193(2):2(23.141.089.108101.3810300)2(6.62510)2.8110(2)2(23.140.599.108101.3810300)2(6.62510)1.1410()nCpviCVmkTSiNhcmmkTNhcmnNNππ−−−−−−−−=×××××××=×=×=×××××××=×=×=1/2930exp()7.92102gEcmkT−−=×31302/13183342/3233132/30*3193342/3233132/30*1095.1)2exp()(1064.5)10625.6()3001038.110108.937.014.32(2)2(21005.1)10625.6()3001038.110108.956.014.32(2)2(2:−−−−−−−−−×=−=×=××××××××==×=××××××××==cmTkENNncmhTkmNcmhTkmNGegVCipvnCππ3602/13183342/3233132/30*3173342/3233132/30*1024.2)2exp()(1008.8)10625.6()3001038.110108.947.014.32(2)2(21044.4)10625.6()3001038.110108.9068.014.32(2)2(2:−−−−−−−−−×=−=×=××××××××==×=××××××××==cmTkENNnicmhTkmNcmhTkmNGaAsgVCpvnCππ6C°−78C°27C°300*p0V0*Cn02319mN3ln()ln()22N24m3ln(0.55)2431.381019578:ln(0.55)0.0075241.602102327:0.026ln(0.55)0.01172423300:ln(24CVCVFCVCVCVFCVCVFCVFEEkTEEkTEEEkTEEEECEeVEEEECEeVEECE−−++=+=++=+++××−°=+=−×++°=+=−+°=+23191.38105730.55)0.02211.6021021CVgEEeVEeV−−+××=−×=7NC=1.05X1019cm-3NV=5.7X1018cm-3mn*mp*77KNCNV300KEg=0.67eV77KEg=0.76eV77K1017cm-3EC-ED=0.01eVND*3*32342196*2/32/323310234218*2/32322(6.62510)1.051010()()2223.141.381030025.099100.56(6.62510)5.710()(2223.141.3810300nCpVCnVpmNhmNhNhmkgmNhmππππ−−−−−=×=××××∴==××××=×=××==××××62/331010)23.39100.37kgm−×=×=*319183*31817319777721.05101.371025.7107.41103000.67exp2105nCCpVVKmNKNhcmmNNhcmKEgeVEgππ−−=×==××=×=×==××=×==××181331918173230.67.710exp1020.026770.760.761.610107.4110exp21.381077cmKEgeVcm−−−−×××=××=×××××××000000000000001917770.01exp()ln()12exp()[12exp()][12exp()exp()][12exp()]0.011.61010[12exp(1.CDCFCCCFDDDFDCCFDCFDDCKEEeVEEnNkTNEEkTnNnnEEkTEEEENnkTEEEnkTkTnEnkTN+−−=−=−∴−===−+−−+−∴=+−−∆=+−∆=+××=×+Q17231817310)]3810771.37101.6610cm−−××××=×87NcNvEg0.67eV300k500kND51015cm-3NA2109cm-3:1931831539311332018iDA15915302132015071.05105.710510210()exp()1.9610210nN-N10cm-3510210510(1.9610)510DAiDAiNccmNvcmNcmNcmEgnNcNvcmkTnNNcmnpn−−−−−−=×=×=×=×=−=×∴∴∴=−=×−×=××∴===×1037.6810cm−×191931819341915005001.05102.26105.7101.23104.774100.74370.58500exp2105.710CVTKNKcmNcmEgEgeVEgαβ−−−==××=×=××=××××==−==×××198163230020011221515216222163021621601600.581.610exp1021.3810()[()4]510[(510)4(210)]2.261022(210)p1.77102.2610DAADiDADAiicmNNnNpNnpnNNNNnncmnn−−−−×××××∴≈−+=+⎧⎪⎨=⎪⎩−+−+×+×+××===××===××3cm−91016cm-31018cm-31019cm-30.05eV016300018300.050.05ln10ln0.2060.050.2060.1566610ln0.08CDDCDFccDDFcccDFCcDDFcccEEeVEEeVNEEkTNNNcmEEkTEeVNEEEeVEeVeVkTkTNNcmEEkTEN−−−=∴=−=+==+=−−=−−−====+=−Q00193070.050.0870.0371.510ln0.0270.050.0270.0230DFCcDDFcccDFCceVEEEeVEeVeVkTkTNNcmEEkTEeVNEEEeVEeVeV−−=−−−=≈==+=−−=−−−=−〈1090%n300K1331430191733002.41010exp20.11.05100.013exp20.0263.1810[10iCDDGeKncmcmDNEkTcmE−−−−=×∴=⎛⎞∆⎛⎞=−⎜⎟⎜⎟⎝⎠⎝⎠⎛⎞××⎛⎞=−⎜⎟⎜⎟⎝⎠⎝⎠=×∆∴1431733.1810]cmcm−−×11ED0.01eV1014cm-31017cm-3(1)99%(2)90%(3)50%10ln15_lnln2311610)2(116106.11038.101.0ln23)2(_ln)2(22_lnexp2_153230*192303230*0233230*00++=∴==×××=∆+=∆∴=∆∴∆=−−DnDnDDnDDDDNDTThkmkEThkmNDTkEThkmNcNNcDTkETkENcNDπππKTDcmNKTDcmNKTDcmNKTDcmNDDDD5.160%10103.24%10102536%1102.37%1101317314317314============−−−−−−−−KTcmNKTcmNNTTNThkmNNNNTkENNTkEETkEENnNTkEETkEENTkEENnnDDDDnDCDCDCDCFFCCDDFFDDFDDDD55101610ln2ln10ln15ln23116ln})2(2ln{lnlnln12lnexp212ln)exp(21)exp(211/503317314233230*0000000====−++=−×=−==∆+=∴−−==−=−−+=−+=°−−+πβαβα12ED0.04eV1015cm-31018cm-3(1)99%(2)90%(3)50%TNDThkmkEThkmNDTkEThkmNcNNcDTkETkENcNDDnDnDDnDDDDln237.2ln10ln15_ln464107.2)2(464106.11038.104.0ln23)2(_ln)2(22_lnexp2_153230*192303230*0233230*00+++=∴×==×××=∆+=∆∴=∆∴∆=−−πππ153183153183464_3ln15ln10ln2.7ln21101/127101/138821010/86.21010/465.4DDDDDDTTNNcmDTKNcmDTKNcmDTKNcmDTK−−−−−−−−=+++==°===°===°===°=00000033*20230350/11exp()12exp()2ln21exp2ln2(2)1lnlnlnln{2}lnDDDDDFDFFDCFDCDFCCCnDCDDnnNNEEEEkTkTEEkTEENnNkTNEEkTNNmkENNTkTNhαβαβπ+°==−−++−=−−==−∴=+∆==−=×−153183464315ln10ln5.4lnln21059.410180DDDDNTNTNcmTKNcmTK−−=++−∴====13nND=1015cm-377K,300K,500K,800K3-7*3191831/2001518191/23230777721.05101.3710()exp()22101.37100.0441.610()exp()21.3810773001nCCDcDDKmNKNhcmNNEnkTcmKnNπ−−−−=×==××=×∆=−××××=−=×××==153143215141212153021521730005004104104410[1(1)][1(1)]1.1410221080010iDDcmKcmnNncmNKnpcm−−−−=×××=++=×++=×===14ND91015cm-31.11016cm-3300k:T300k,ND91015cm-3,NA=1.11016cm-3,ni=1.51010cm-310niNA-ND=21015cm-31018cm-31530102530150000015019210(1.510)1.12510210Nvexp()exp()210ln0.026ln0.2241.110ADiVFADVFADADFpNNcmnncmpEEpNNpKTEENNNvkTNNEEvkTEvEveVNv−−∴=−=××∴===××−=−=⋅−−=−×=−=−=+×151022300K600K3-71032231631801619163021024301603001.510101010ln100.026ln0.1821.110101.5102.251010iAAiAFVVVVAiKncmNmcmNnNEEkTNEEeVpNcm