XiXi’’anJiaotongUniversityanJiaotongUniversityFundamentalsandApplicationsofArcPlasmazqshi@mail.xjtu.edu.cnzqshi@mail.xjtu.edu.cnsljia@mail.xjtu.edu.cnsljia@mail.xjtu.edu.cn2011.3~2011.62011.3~2011.6eiiinnZn==∑enin3m−3m−iZii∑n3m−T12ikTε=memiTeTiTeTiT1Vee191eV1.610J−=×1eVTκ=k:23J1.3810Kκ−=×19231.610JJ1.1eV11600310K8KTκ−−×===×1eV11600KLλ204LZZeαβπελTκ204LZZeTαβλπεκ=204LZZeTαβλπεκ=13dn−=213513041.6710LZZendTnZZTαβαβλπεκα−×===1α2010n∼410T∼173552410101010110nTα−−−∼∼∼13BdnmvmTκ−===346.625610Js−=×⋅3410Js−⋅∼2510kgm−∼2310J/Kκ−∼410KT∼20310mn−∼341325234127110010101100BdnmTκ−−−−−−==××∼∼∼d204ZZedαβπεTκLdλ1Ldαλ=1pnTκ=31LnλR1cm20-310men=110000Er1cm()3225-1004344610VmieRnrrEenqππεπε×−==F172110m/sa=×0()4qrrφπε=rq()rφ()rφ=−∇Eφ0246810121416182000.10.20.30.40.50.60.70.80.91r0()rφ{q2200()(dd)1ddiiqieerrrrZnrnrρφεε⎡⎤⎛⎞=−=−⎜⎟⎢⎥⎝⎠⎣⎦∑(0)(0)()exp()expeeiieiienrTZenrnnTφκφκ⎧⎛⎞=⎪⎜⎟⎪⎝⎠⎨⎛⎞⎪=−⎜⎟⎪⎝⎠⎩(0)(0),einn0φ=qr()rφqr()rφ31Lnλ,eieTeTφκφκ(0)(0)()exp()expeeiieiienrTZenrnnTφκφκ⎧⎛⎞=⎪⎜⎟⎪⎝⎠⎨⎛⎞⎪=−⎜⎟⎪⎝⎠⎩(0)(0)()1()1eeeiiiienrnTZenrnTφκφκ⎧⎛⎞=+⎪⎜⎟⎪⎝⎠⎨⎛⎞⎪=−⎜⎟⎪⎝⎠⎩231......2!3!xxxex=++++qr()rφ(0)(0)()1()1eeeiiiienrnTZenrnTφκφκ⎧⎛⎞=+⎪⎜⎟⎪⎝⎠⎨⎛⎞⎪=−⎜⎟⎪⎝⎠⎩2200()(dd)1ddiiqieerrrrZnrnrρφεε⎡⎤⎛⎞=−=−⎜⎟⎢⎥⎝⎠⎣⎦∑222221ddddoeieiiieirTTrrrneTZneTφφεκ⎛⎞=⎜⎟⎝⎠+∑(0)(0)eiiinZn=∑12222oeiDeiiieiTTneTZneTεκλ⎛⎞⎜⎟=⎜⎟+⎜⎟⎝⎠∑0246810121416182000.10.20.30.40.50.6rφDλ1e12221ddddDrrrrφφλ⎛⎞=⎜⎟⎝⎠0()exp4Dqrrrφπελ⎛⎞=−⎜⎟⎝⎠0()4qrrφπε=DλE12222oeiDeiiieiTTneTZneTεκλ⎛⎞⎜⎟=⎜⎟+⎜⎟⎝⎠∑122()oeiDieTTneTTεκλ⎛⎞=⎜⎟+⎝⎠Z=1eiTT122oiDiTneεκλ⎛⎞=⎜⎟⎝⎠ieTT122oeDeTneεκλ⎛⎞=⎜⎟⎝⎠eiTTT==1222oDTneεκλ⎛⎞=⎜⎟⎝⎠()1/222DDeDiλλλ−−−+eiTT122iDioneTελκ⎛⎞=⎜⎟⎝⎠ieTT122eDeoneTελκ⎛⎞=⎜⎟⎝⎠(0)(0)()1()1eeeiiiienrnTZenrnTφκφκ⎧⎛⎞=+⎪⎜⎟⎪⎝⎠⎨⎛⎞⎪=−⎜⎟⎪⎝⎠⎩……DλEDλ()()eiiinrZnr≠∑DLλDλ31Dnλ31Dgnλ=}1g1KEPEl13Dnλ1g1KEPEl13Dnλ1g21304KETePEnκπε−⎧=⎪⎨=⎪⎩1KEPE220031223441DTTnenenλπεκπεκ=×∼2231Dnλ31Dnλ1g1g1/21/2DTnλ−∝312321DngTnλ∝=1g213513041.6710LZZendTnZZTαβαβλπεκα−×===31DnλDLdλλ1αLdλ1/3Dnλ−DdλdLλDλEx2220ddeeenxxmtε=−1220epeenemωε⎛⎞=⎜⎟⎝⎠()1222ppepipeωωωω=+≈12220iipiiZnemωε⎛⎞=⎜⎟⎝⎠eimmpepiωω1pω120211epppeemneετωω⎛⎞=≈=⎜⎟⎝⎠pTτ0022eeepeeDeTeTnemvTemnεκτεκλ===