ECE 606 Lecture 9: Fermi-Dirac Statistics

Published on

Abstract

Outline:
  • Rules of filling electronic states
  • Derivation of Fermi-Dirac Statistics: three techniques
  • Intrinsic carrier concentration
  • Conclusion

References

R. F. Pierret, "Advanced Semiconductor Fundamentals", Modular Series on Solid State Devices, Volume VI, Addison-Wesley, 1987, Chapter 4 (pages 96-105)

Cite this work

Researchers should cite this work as follows:

  • Muhammad A. Alam (2009), "ECE 606 Lecture 9: Fermi-Dirac Statistics," https://nanohub.org/resources/5785.

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Time

Location

EE 115, Purdue University, West Lafayette, IN

Tags

ECE 606 Lecture 9: Fermi-Dirac Statistics
  • EE-606: Solid State Devices Lecture 9: Fermi-Dirac Statistics 1. EE-606: Solid State Devices Le… 0
    00:00/00:00
  • Carrier Density 2. Carrier Density 18.666666666666668
    00:00/00:00
  • Outline 3. Outline 152.13333333333333
    00:00/00:00
  • E-k diagram and Electronic States 4. E-k diagram and Electronic Sta… 231.66666666666666
    00:00/00:00
  • Rules for filling up the States 5. Rules for filling up the State… 405.36666666666667
    00:00/00:00
  • Outline 6. Outline 514.3
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  • Illustrative Example: 3 Energy Levels 7. Illustrative Example: 3 Energy… 584.06666666666672
    00:00/00:00
  • Occupation Statistics 8. Occupation Statistics 928.86666666666667
    00:00/00:00
  • Occupation Statistics 9. Occupation Statistics 1001.8
    00:00/00:00
  • For N-states 10. For N-states 1163.6666666666667
    00:00/00:00
  • Optimization with Lagrange-Multiplier 11. Optimization with Lagrange-Mul… 1311.6
    00:00/00:00
  • Final steps … 12. Final steps … 1469.6666666666667
    00:00/00:00
  • Derivation by Detailed Balance 13. Derivation by Detailed Balance 1760.5333333333333
    00:00/00:00
  • Derivation by Partition Function 14. Derivation by Partition Functi… 1974.2333333333334
    00:00/00:00
  • Derivation by Partition Function 15. Derivation by Partition Functi… 2137.1333333333332
    00:00/00:00
  • Few comments on Fermi-Dirac Statistics 16. Few comments on Fermi-Dirac St… 2220.5666666666666
    00:00/00:00
  • Outline 17. Outline 2362.4666666666667
    00:00/00:00
  • Carrier Distribution 18. Carrier Distribution 2370.5666666666666
    00:00/00:00
  • Electron Concentration in 3D solids 19. Electron Concentration in 3D s… 2545.1666666666665
    00:00/00:00
  • Boltzmann vs. Fermi-Dirac Statistics 20. Boltzmann vs. Fermi-Dirac Stat… 2696.5
    00:00/00:00
  • Effective Density of States 21. Effective Density of States 2753.2666666666669
    00:00/00:00
  • Law of Mass-Action 22. Law of Mass-Action 2848.3666666666668
    00:00/00:00
  • Fermi-Level for Intrinsic Semiconductors 23. Fermi-Level for Intrinsic Semi… 2962.0666666666666
    00:00/00:00
  • Conclusions 24. Conclusions 3138.5666666666666
    00:00/00:00