08+continuity+_+Quasi-Fermi+level

08+continuity+_+Quasi-Fermi+level - EECS 320 Continuity...

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EECS 320 Continuity Equations & Minority Carrier Diffusion Equations
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Continuity Equation dx J ( ) ( ) () Adx R G q A dx x J q A x J Adx t n n n + + = R G x J q t n n + = 1 ( ) dx x J x J dx x J n n n + G R E C E V J n (x) J n (x+dx) dx Making dx infinitesimally small: Continuity Eq. processes other G R thermal n t n t n J q t n + + = r 1
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Low-Level Injection For small perturbation Majority carriers remain unchanged (e.g. electrons in n-type material n=n 0 =N D ) Minority carriers do not approach majority carrier density (e.g. holes in n-type material p=p 0 + p<<n) Thermal R-G for minority carriers given by: Electrons in p-type material Holes in n-type material n G R thermal n t n τ = p G R thermal p t p =
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Minority Carrier Diffusion Equation Simplifying Assumptions for a common case: 1) One dimensional. 2) We will only consider minority carriers 3) Electric field is approximately zero in regions subject to analysis, hence negligible drift. 4) Low-level injection conditions apply. 5) R-G center is the main recombination-generation mechanism.
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This note was uploaded on 08/09/2011 for the course EE 320 taught by Professor Zhongzhaohui during the Summer '11 term at Shanghai Jiao Tong University.

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08+continuity+_+Quasi-Fermi+level - EECS 320 Continuity...

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