第一章 半导体中的电子状态习题解答

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NuoLiu,JiangangNiSolutionofChapter1NuoLiu,JiangangNiSchoolofMicroelectronicandSolidStateElectronicsDepartmentofMicroelectronicScienceandTechnologyUESTCNuoLiu,JiangangNi1.a,,0212022)(3)(mkkhmkhckE−+=022021236)(mkhmkhvkE−=0m)(kEc)(kEvnmaak314.0,2/11==NuoLiu,JiangangNieVJkEkEEkEkEkkkEkEkkkamhmkhmkhmkhvcgmkhkvvvmkhdkkdEmkhkkcccmkkhmkhdkkdEvvcc636.010018.1)()(|)()(000|)()(0019)10314.0(10108.948)10625.6(481264maxmin60max23)(4min143)(232)(2931234202021202120212021202021214301202=×====−=−=∴==∴==∴=−===∴==∴=+=−×××××=×=−−−−NuoLiu,JiangangNi0838321)(2*38232)(12*1120220202022222222*)()(mhhmhmhmdkkEdncmhmhmhdkkEddkEdndkEdhmccn===∴=+==∴=−−Θ061621)(2*6)()()(20220222mhhmhmdkkEdnvmhdkkEdvv−=−==∴−=−ahvchkhkhhkhkp831431430==×−×=−=∆NuoLiu,JiangangNi2.0.25nm0taeEhaheEttheEtdkdta2210021=∴=∴=∫∫dtdkheEdtdkaheEqEfk=∴====∆∴=ΘΘ210.25nmastmvEstmvE131010602.11025.0210625.627281010602.11025.0210625.612110271.8/1010271.8/10719934219934−××××××−×××××××===×===−−−−−−mvmv/10,/1072NuoLiu,JiangangNi1Eg-NuoLiu,JiangangNi2A+qBpnCD**npmm−=npEE−=

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