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1、Nuo Liu, Jiangang NiSolution of Chapter 3Nuo Liu, Jiangang NiSchool of Microelectronic and Solid State ElectronicsDepartment of Microelectronic Science and TechnologyUESTChttp:/Nuo Liu, Jiangang Ni1a9? E=Ec E=Ec+100(h2/8mn*L2)W80b223/21/2 33221/2100 1003/2 3/2 2333/8822(2 )() 4 ( )1008(2 ) (2 ) 2 10
2、0 1000() 4 ( ) 4 )38 3CCnnnCCCCnhhEEnnmL mLnCmgE V EE V LhhEEmLmmhZgEdL EdELhhmLhkEE+= += = = =+Q OW L*22225532030320100 58100850044|332nCCnCCnL LmEE khEE kmL LhEE kmLkVkdkLZZLV =+= += = = = H HWM bW8http:/Nuo Liu, Jiangang Ni3a E-EF 1.5k0T4k0T10k0THsYnsfj9%sf90?)q b00000exp( )( ) exp( )1.50.182 18.
3、2% ( ) exp( 1.5) 0.223 22.3%exp(1.5)40.0182 1.82% ( ) exp(4) 0.0183 1.83%exp(4)10FFFFFEEkTEEEkTEE kTEEE kTEEE kT= = =#nsG&j9%sGHG& GHG& GHG&0.000045 0.0045% ( ) exp(10) 0.0045%exp(10)E= =#Ghttp:/Nuo Liu, Jiangang Ni4a aia /nsfwLi1b60?ln?)0q/7?vn?)0q9vbC27C78 C500http:/Nuo Liu, Jiangang Ni5aV 3-2 mn*
4、mp*9Aaai/ NcNv#0ib*3/20331 23 3/234 319 3*3/20331 23 3/234 319 3(2 ):2(2 3.14 1.08 9.108 10 1.38 10 300)2(6.625 10 )2.81 10(2 )2(2 3.14 0.59 9.108 10 1.38 10 300)2(6.625 10 )1.14 10()nCpviCVmkTSi NhcmmkTNhcmnNN= = =1/2 9 30exp( ) 7.92 102gEcmkT=http:/Nuo Liu, Jiangang Ni31302/13183342/3233132/30*319
5、3342/3233132/30*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:=cmTkENNncmhTkmNcmhTkmNGegVCipvnChttp:/Nuo Liu, Jiangang Ni3602/13183342/3233132/30*3173342/3233132/30*1024.2)2exp()(1008.8)10625.6()3001038.110108.947.014.32(2)2(21044.4)1062
6、5.6()3001038.110108.9068.014.32(2)2(2:=cmTkENNnicmhTkmNcmhTkmNGaAsgVCpvnChttp:/Nuo Liu, Jiangang Ni6a9A Hn?)LL)$C78C27C300*p0V 0*Cn02319mN3ln( ) ln( )22N 2 4m3ln(0.55)243 1.38 10 19578 : ln(0.55) 0.00752 4 1.602 10 2327 : 0.026ln(0.55) 0.011724 23300 : ln(24CV CVFCVCV CVFCV CVFCVFEEkT EE kTEEE kTEE
7、EECE eVEE EECE eVEECE+=+ =+=+ = + = = + = += +23191.38 10 5730.55) 0.02211.602 10 21CVgEEeVEeV+=V9V PLn?)L)bhttp:/Nuo Liu, Jiangang Ni7ai/r NC=1.05X1019cm-3NV=5.7X1018cm-3kp0r mn*mp*b9 77KH NCNVbX 300KH Eg=0.67eVb77KHEg=0.76eVbpH0ib 77KH0i 1017cm-3Lsi,7 EC-ED=0.01eVpi ND$*3*32342196*2/ 2/32331023421
8、8*2/32322(6.625 10 ) 1.05 10 10() ( )2 2 2 3.14 1.38 10 300 25.099 10 0.56(6.625 10 ) 5.7 10() (2 2 2 3.14 1.38 10 300nCpVCnVpmNhmNhNhmkg mNhm= = = L5 L5L5L562/331010)23.39 10 0.37kg m= =http:/Nuo Liu, Jiangang Ni*319 18 3*318 17 3197777 21.05 10 1.37 1025.7 10 7.41 10300 0.67exp210 5nCCpVVKmNK Nhcm
9、mNNhcmKEg eVEg= = = = = = J$7H L5 5 5 L55, 5HO/ L518 13 31918 17 3230.67.7 10 exp 102 0.02677 0.760.76 1.6 1010 7.41 10 exp21.3810 77cmKEg eVcm= J HO http:/Nuo Liu, Jiangang Ni00000000000000191777 0.01exp( )ln( )1 2exp( )1 2exp( )1 2exp( )exp( )1 2exp( ) 0.01 1.6 1010 1 2exp(1.CDCFCCCFDDDFDCCFDCFDDC
10、KEE eVEEnNkTNEEkTnNnnEEkTEEEENnkTEEEnkT kTnEnkT N+ = =+ =+ =+ =+=+QH1723 1817 310)38 10 77 1.37 101.66 10 cm=http:/Nuo Liu, Jiangang Ni8a5 7 Nc Nv# Eg0.67eVp300k 500kHci ND51015cm-3siNA2109cm-30#bi$ :19 3 18 315 3 9 3113 32018iDA15 9 15 302 13 2015071.0515.70510 210( ) exp( ) 1.96 10210n N -N = = = ?HXhttp:/Nuo Liu, Jiangang Ni15 322 3 16 300200221/216 16 2 15 2 1/216 302 17 215 30170600 3 7 6 1010 10()410 10 4 6 10 1022 2 2210102.56 10iAAiAiAiAiFKncmNmcmNnnN pnp nNnNncmnpcmnEE= +=+ + =+ = + = =
