ECE 606 Lecture 5: Energy Bands

By Muhammad A. Alam

Purdue University

Published on

Abstract

Outline:
  • Schrodinger equation in periodic U(x)
  • Bloch theorem
  • Band structure
  • Properties of electronic bands
  • Conclusions

References

R. F. Pierret, "Advanced Semiconductor Fundamentals", Modular Series on Solid State Devices, Volume VI, Addison-Wesley, 1987, Chapter 3 (pages 51-62)

Cite this work

Researchers should cite this work as follows:

  • Muhammad A. Alam (2009), "ECE 606 Lecture 5: Energy Bands," http://nanohub.org/resources/5758.

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Time

Location

EE 115, Purdue University, West Lafayette, IN

Tags

ECE 606 Lecture 5: Energy Bands I
  • EE-606: Solid State Devices Lecture 5: Energy Bands 1. EE-606: Solid State Devices Le… 0
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  • Outline 2. Outline 25.1
    00:00/00:00
  • Getting Back to Crystals 3. Getting Back to Crystals 81.1
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  • Finally an (almost) Real Problem … 4. Finally an (almost) Real Probl… 152.03333333333333
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  • Outline 5. Outline 349.06666666666666
    00:00/00:00
  • Four Steps of Finding Energy Levels in Crystals 6. Four Steps of Finding Energy L… 365.2
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  • Periodic U(x) and Bloch’s Theorem 7. Periodic U(x) and Bloch’s Th… 422.36666666666667
    00:00/00:00
  • Phase-factor for N-cells 8. Phase-factor for N-cells 619.43333333333328
    00:00/00:00
  • Step 2: Periodic Boundary Condition 9. Step 2: Periodic Boundary Cond… 759.93333333333328
    00:00/00:00
  • Step 3: Boundary Conditions 10. Step 3: Boundary Conditions 1089.5
    00:00/00:00
  • Step 4: Det(matrix)=0 for Energy-levels 11. Step 4: Det(matrix)=0 for Ener… 1407.1333333333334
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  • Outline 12. Outline 1494.3
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  • Graphical solution to Energy Levels 13. Graphical solution to Energy L… 1535.1
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  • Energy Band Diagram 14. Energy Band Diagram 1697.7
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  • Brillouin Zone and Number of States 15. Brillouin Zone and Number of S… 1919.7666666666667
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  • Outline 16. Outline 2081.4
    00:00/00:00
  • Wave Packet and Group Velocity 17. Wave Packet and Group Velocity 2160.1
    00:00/00:00
  • Group Velocity for a Given Band 18. Group Velocity for a Given Ban… 2362.7
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  • Effective Mass for a Given Band 19. Effective Mass for a Given Ban… 2543.4333333333334
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  • Effective Mass is not Essential … 20. Effective Mass is not Essentia… 2743.1666666666665
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  • Conclusion 21. Conclusion 2944.2666666666669
    00:00/00:00