半导体物理与器件课后习题答案合集尼曼.pdf

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1、rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter1SolutionsManualProblemSolutionsChapter1ProblemSolutions3F4πrI4atomspercell,soatomvol.=4HG3KJ1.1(a)fcc:8corneratoms×1/8=1atomThen36faceatoms×½=3atomsF4πrITotalof4atomsperunitcell4HGKJ3Ratio=×100%⇒Ratio=74%3(b)bcc:8corneratoms×1/8=1at

2、om162r1enclosedatom=1atom(c)Body-centeredcubiclatticeTotalof2atomsperunitcell4dra==⇒=43ar(c)Diamond:8corneratoms×1/8=1atom36faceatoms×½=3atoms33F4I4enclosedatoms=4atomsUnitcellvol.==arHKTotalof8atomsperunitcell33F4πrI1.22atomspercell,soatomvol.=2HGKJ(a)4Gaatomsperunitcell34ThenDensity=⇒3−83F4πrIb

3、g56510.x2HGKJ322−3Ratio=×100%⇒Ratio=68%DensityofGa=2.2210xcm3F4rI4Asatomsperunitcell,sothatHK22−33DensityofAs=2.2210xcm(d)Diamondlattice(b)88GeatomsperunitcellBodydiagonal===dra83⇒=ar83Density=⇒33bg56510.x−83F8rIUnitcellvol.==aHK22−33DensityofGe=4.4410xcm3F4πrI8atomspercell,soatomvol.8HGKJ31.3(a)

4、Simplecubiclattice;ar=2Then3333Unitcellvol==arr()28=F4πrI8F4πr3IHG3KJRatio=×100%⇒Ratio=34%1atompercell,soatomvol.=()13HG3KJF8rIThenH3K3F4πrIHGKJ1.43Ratio=×100%⇒Ratio=52.4%FromProblem1.3,percentvolumeoffccatoms38ris74%;Thereforeaftercoffeeisground,(b)Face-centeredcubiclattice3Volume=074.cmddra==42

5、⇒a==22r2333Unitcellvol==arrch22=1623rdSemiconductorPhysicsandDevices:BasicPrinciples,3editionChapter1SolutionsManualProblemSolutionsThenmassdensityis1.5−234.8510x8ρ=⇒(a)aA=543.°From1.3d,ar=−83bg2.810x33ρ=2.21gmcm/a3()543.3°sothatr===118.A881.8Centerofonesiliconatomtocenterofnearest°neighbor=⇒2r2.

6、36A°(a)aA322=+=()().221.88sothat(b)Numberdensity°aA=4.62822−3=⇒Density=510xcm3−81bg54310.xDensityofA=⇒10110.xc22m−33−8(c)Massdensitybg4.6210x22NAtWt()..b510xg()2809.122−3==ρ=⇒DensityofB=⇒10110.xcm23−8N60210.xbg4.6210xA3(b)Sameas(a)ρ=2.33gramscm/(c)Samematerial1.61.9°(a)ar==22()1.022=.04A(a)Surfac

7、edensityANow11==⇒2−822rraAB+=⇒=232rB2.043−2.04a2bg4.6210x2°sothatrA=0747.14−2B33110.xcm(b)A-type;1atomperunitcellSameforAatomsandBatoms1(b)Sameas(a)Density=⇒3−8(c)Samematerialbg2.0410x23−3Density(A)=11810.xcm1.10B-type