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20085ee2_1_EE2_HW6_sol

20085ee2_1_EE2_HW6_sol - I At room temperature T=300k N D =...

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I At room temperature T=300k, 16 10 ) 1 1 1 ( )) ( 1 ( = + - = - = - = + D kT E E D E E D D N e N E f N N F D D And from page 62, we found that E F is several kT beyond E t , and since our recombination center is acceptor like, we can find - t N 15 10 5 1 1 ) ( = + = = - = - t kT E E t E E t t N e N E f N N F T T Thus 15 10 5 = - - + t D no N N n cm -3 (acceptor like recombination centers will trap a portion of electrons given out by donors) 4 2 10 2 = = no i no n n p cm -3 II s cm s m m kT v n n 11682600 116826 3 * = = = (p85 bottom) s cm s m m kT v p p 16521700 165217 3 * = = = P86 (92) (93) s s cm cm cm v N n n t no 8 2 3 8 10 42 . 3 1 10 42 . 3 1 - - - = = = σ τ s s cm cm cm v N p p t po 8 2 3 8 10 21 . 1 1 10 21 . 1 1 - - - = = = σ τ Hole (minority carrier) life time = + + = no no po no po p n p n n τ τ τ τ 1 1 p87 (99) Where (fromp85 (90)(91)) = = - - ) ( 1 kT E E c t c e N n
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= = = - - - - - ) ) ( ( ) ( 1 kT E E E v kT E E v g c t v t e N e N p And c N , p48(11) v N , p49(15) Eg = 1.12 eV p52 example Et = Ec-0.54 eV kT=0.0258 eV p67 example Put everything in and we can get s po p 8 10 21 . 1 - = τ τ III Please read p88 bottom ~ p 89 top
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