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Lecture Notes #8: Class #10

Chem 140a. Lecture Notes #8: Class #10. Recombination-Generation Statistics (R-G) (Shockley-Read-Hall statistics). <Review>. n s. n b. Δ p. <Review>. Five Mechanisms. Majority carrier process. 1. E cb. Thermionic Emission Tunneling. 1. 2. 2. 5. Minority carrier process. 3.

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Lecture Notes #8: Class #10

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  1. Chem 140a Lecture Notes #8: Class #10 Recombination-Generation Statistics (R-G) (Shockley-Read-Hall statistics)

  2. <Review> ns nb Δp

  3. <Review>

  4. Five Mechanisms Majority carrier process 1 Ecb Thermionic Emission Tunneling 1 2 2 5 Minority carrier process 3 Bulk Recombination Depletion Region Recombination Surface Recombination 3 ET Evb 4 4 5 Under light or a bias, np>ni2. So there is a driving force to return to the equilibrium. Extra holes will recombine with extra electrons  Recombination If somehow we were sucking carriers out of a region of the SC, np<ni2 and carriers would be generated  Generation Shockley-Read-Hall statistics: Good model for all of these minority carrier processes of recombination in the SC

  5. Bulk Recombination e- Ecb 1 2 kn kn’ ET kp kp’ 3 4 Evb p+ 1 2 [cm-3] [cm-3] [cm-3sec-1] 3 (unitless) 4 [cm3/sec] : has an analogy with

  6. Bulk Recombination e- Ecb 1 2 kn kn’ ET kp kp’ 3 4 Equilibrium conditions: Principle of detailed balance  All fundamental processes and their inverse processes must self balance Evb p+

  7. Bulk Recombination

  8. Bulk Recombination

  9. Bulk Recombination Steady state relationship: Major assumption in device problems and analysis At steady state, ( Different from the equilibrium)

  10. Bulk Recombination

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