CHEAT SHEET ECE 132

CHEAT SHEET ECE 132 - mum Electron Momenmm: p = m*v = fik...

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Unformatted text preview: mum Electron Momenmm: p = m*v = fik = % Planck: E = hv = fun lp—Z— fiz k2 (3 4) Effectivemass m* = h: 2 "1* 2m* ' (125/de Kinetic: E = %m*v2 = (3—3) Total electron energy = RE. + K.E. = E + E(k) 1 m E e(EF“E)/kT for]; >> EF (3-10) Fermi-Dirac e’ dism'bufion: flE) = Equilibrium: m, = J ffE}N(E)dE= NcflEc) : NLr‘Ec‘Efi/W (3715) E 27m: kT 3'2 2mm: an 5% = 2 T NV 2 (3—16), (3-20) p0 =. ‘11 mm; = WWW (3-19) n; — 5’3"?”wa P.- = Mfg—EM" (3-21) 3/7 "i: \/——N£N,,e’5!ur= 28“”) mmfifl‘m’” ($23,926) hz Equim’fim 3:: (3—25) _ "0P0 = n? (3—24) Steady state: 2 : : (4-15) "I, : "gem—Mb (538) WP if) =5 if (4—26) W dig) ‘12:?) = “(2‘) = E (p n + N; N;) (5—14) F E g Drift V‘s 1+‘l—fifim{ fffigfifififlm val.) (Fig'é'g) I Drift current density: 3:- = I, = «up. + pppflj = 0%; (3—43) dn(x) 1,,(x) = qwnn<xrvs<x> + qD" dx Conduction Current: drift diffusion (4—23) d 14x) = qumx) — qu if) Jicml = Jconduclion + J displacement = Jr: + J p + C E dp(x,() 68p 6-6, 6p 6811 13],, an Zttqmmuiu': , '1' , . — (4‘31) ' dz 6: q dx 7,, dt q ax “r” (12.3 s a (123 a Errgjady state diffusion: w; = 1):; 5 fr; WZP “—’ L—l; (4—34) D kT :‘wxféion length: L E VD'T Einstein relation: I = —q- (#29) p-n JUNCTIONS . . . kT Pp kT N a kT N “N d E uflibnnmz V — 1n = ln In 5—8 q 0 q pn q nf/Nd q n? ( ) pp "n V 250/0 _ V) Na + Nd 1/2 _ .__ _ = eq o/kT 5-10 W = [’— —— 5—57 p" np ( ‘ ) ‘1 MM ( ) _ V WN quWz _ +i * = —————a 2 _ :— One Slded abrupt p n. xno Na + Nd W (5 23) V0 26 Am = porno) - p" = pn(e"V”‘T - 1) (5-29) 5,006") = AM “’1’” = P746417” — 1)€”‘""L" (5-31b) D D , V Ideal diode: I = “<pr + inpyeqv/I‘T - 1) = Mew/H — 1) (5—36) p n . I = I '(qu/"kT — 1) N - l: 0 — on idea (11 = 1 to 2) (5 1:1) » With light: 1op = qu0p(Lp + L" + W) (8-1) ...
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This note was uploaded on 12/02/2009 for the course CHEM chem1C taught by Professor O'dea during the Spring '09 term at UCSB.

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CHEAT SHEET ECE 132 - mum Electron Momenmm: p = m*v = fik...

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