ECE453Fall2010Pract2Solution[1]

# ECE453Fall2010Pract2Solution[1] - Fall 2010 Solution to...

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Fall 2010 Solution to Practice Exam II ECE 453 1 Exam II will be held Friday, Nov.5 in class, covering HW 4-6. CLOSED BOOK. This page will be provided. Non-MATLAB HW questions + Practice Exam II are a good guide to what you can expect on actual exam Solutions to this practice exam will be posted on Tuesday, Nov.2 Constants Electronic charge , q = 1.6 e 19 coul Planck's constant, h = 6.63 e 34 Joule sec , = h /2 π Boltzmann constant, k kT ~ 25 meV at T = 300K Free electron mass = 9.1e-31 Kg, Vacuum Permittivity = 8.85e-12 F/m Bandstructure [ h ( k )] = [ H nm ] exp( i k .( d m d n )) m Bandstructure Equations of Coherent Transport 1. Γ 1 = i [ Σ 1 − Σ 1 + ] , Γ 2 = i [ Σ 2 − Σ 2 + ] 2. G ( E ) = [ EI H − Σ 1 − Σ 2 ] 1 , 3. A ( E ) = i [ G G + ] = G Γ 1 G + + G Γ 2 G + Density of states / 2 π 4. [ G n ( E )] = [ G Γ 1 G + ] f 1 + [ G Γ 2 G + ] f 2 Electron density / 2 π 5. I i ( E ) = q h ( ( Trace [ Γ i A ]) f i Trace [ Γ i G n ]) Current/energy 6. I ( E ) = q h Trace [ Γ 1 G Γ 2 G + ]( f 1 ( E ) f 2 ( E )) 2-terminal current

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