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1、SemiconductPhysicsDevices:BasicPrinciples4theditionChapter4ByD.A.NeamenProblemSolutions______________________________________________________________________________________1Chapter44.1??????????kTENNngciexp2????????????

2、?????kTETNNgOcOexp3003?wherearethevaluesat300K.cONON?(a)Silicon(K)T(eV)kT(cm)in3?20040060001727.003453.00518.041068.7?121038.2?141074.9?(b)Germanium(c)GaAs(K)T(cm)in3?(cm)in3?200400600101016.2?141060.8?161082.3?38.191028

3、.3?121072.5?_______________________________________4.2Plot_______________________________________4.3(a)??????????kTENNngciexp2???????319192113001004.1108.2105??????????T????????????3000259.012.1expT??3382330010912.2105.2

4、?????????T????????????????T0259.030012.1expBytrialerrK5.367?T(b)??252122105.2105????in?????????????????????????TT0259.030012.1exp30010912.2338BytrialerrK5.417?T_______________________________________4.4AtK200?T?????????3

5、002000259.0kTeV017267.0?AtK400?T?????????3004000259.0kTeV034533.0?????????17222102210025.31040.11070.7200400?????iinn????????????????????????????017267.0exp034533.0exp30020030040033ggEE????????034533.0017267.0exp8ggEE???

6、?9578.289139.57exp810025.317???gE??1714.38810025.3ln9561.2817???????????gEeV318.1?gENow??32103004001070.7????????ocoNN?????????034533.0318.1exp????172110658.2370.210929.5????ocoNN?socm371041.9??ocoNN?6?__________________

7、_____________________SemiconductPhysicsDevices:BasicPrinciples4theditionChapter4ByD.A.NeamenProblemSolutions______________________________________________________________________________________34.9Plot__________________

8、_____________________4.10??????????ln43npgapFimmkTEESilicon:opmm56.0?onmm08.1?eV0128.0???gapFiEEGermanium:opmm37.0?onmm55.0?eV0077.0???gapFiEEGalliumArsenide:opmm48.0?onmm067.0?eV0382.0???gapFiEE_________________________

9、______________4.11????????????cgapFiNNkTEE?ln21????kTkT4952.0108.21004.1ln211919?????????????(K)T(eV)kT()(eV)gapFiEE?20040060001727.003453.00518.00086.0?0171.0?0257.0?_______________________________________4.12(a)???????

10、???ln43npgapFimmkTEE?????????21.170.0ln0259.043meV63.10??(b)??????????080.075.0ln0259.043gapFiEEmeV47.43??_______________________________________4.13Letconstant????KEgcThen????dEEfEgnFEcoc???dEkTEEKcEF?????????????exp11?

11、?dEkTEEKcEF???????????expLetsothatkTEEc????dkTdE??Wecanwrite????cFcFEEEEEE?????sothat??????????????????????????expexpexpkTEEkTEEFcFTheintegralcanthenbewrittenas??????dkTEEkTKnFco??????????????0expexpwhichbecomes?????????

12、????kTEEkTKnFcoexp_______________________________________4.14Letf????ccEECEg??1cEE?Then????dEEfEgnFEcoc?????dEkTEEEECcEFc??????????????exp11????dEkTEEEECFECc????????????exp1LetsothatkTEEc????dkTdE??Wecanwrite????FccFEEEE

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