ECE 606 Lecture 6: Bandgap, Mass Measurements and Fermi-Dirac Statistics

By Gerhard Klimeck

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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Researchers should cite this work as follows:

  • Gerhard Klimeck (2012), "ECE 606 Lecture 6: Bandgap, Mass Measurements and Fermi-Dirac Statistics," http://nanohub.org/resources/15325.

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2101 Civil, Purdue University, West Lafayette, IN

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ECE 606 Lecture 6: Bandgap, Mass Measurements and Fermi-Dirac Statistics
  • ECE606: Solid State Devices Lecture 6 1. ECE606: Solid State Devices Le… 0
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  • Presentation Outline 2. Presentation Outline 23.866666666666667
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  • Reminder: Momentum vs. DOS 3. Reminder: Momentum vs. DOS 57.866666666666667
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  • Measurement of Band Gap 4. Measurement of Band Gap 199.7
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  • Measurement of Energy Gap 5. Measurement of Energy Gap 302.46666666666664
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  • Temperature-dependent Band Gap 6. Temperature-dependent Band Gap 467.8
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  • Presentation Outline 7. Presentation Outline 555.8
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  • Measurements of Effective Masses 8. Measurements of Effective Mass… 564.86666666666667
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  • Motion in Real Space and Phase Space 9. Motion in Real Space and Phase… 736.13333333333333
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  • Derive the Cyclotron Formula 10. Derive the Cyclotron Formula 911.8
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  • Measurement of Effective Mass 11. Measurement of Effective Mass 1036.2
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  • Effective mass in Ge 12. Effective mass in Ge 1219.2666666666667
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  • Derivation for the Cyclotron Formula 13. Derivation for the Cyclotron F… 1386.4333333333334
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  • Continued … 14. Continued … 1503.3666666666666
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  • Measurement of Effective Mass 15. Measurement of Effective Mass 1621.8666666666666
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  • Valence Band Effective Mass 16. Valence Band Effective Mass 1701.1666666666667
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  • Conclusions 17. Conclusions 1713.4666666666667
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  • Presentation Outline 18. Presentation Outline 1876.3333333333333
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  • Carrier Density 19. Carrier Density 1885.9666666666667
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  • E-k diagram and Electronic States 20. E-k diagram and Electronic Sta… 1928.2333333333334
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  • Rules for filling up the States 21. Rules for filling up the State… 1997.3333333333333
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  • Presentation Outline 22. Presentation Outline 2092.8
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  • Illustrative Example: 3 Energy Levels 23. Illustrative Example: 3 Energy… 2150.9666666666667
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  • Occupation Statistics 24. Occupation Statistics 2453.0333333333333
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  • Occupation Statistics 25. Occupation Statistics 2547.2333333333331
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  • For N-states 26. For N-states 2695.1333333333332
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  • Optimization with Lagrange-Multiplier 27. Optimization with Lagrange-Mul… 2876.1333333333332
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  • Final steps … 28. Final steps … 3073.6666666666665
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  • Derivation by Detailed Balance 29. Derivation by Detailed Balance 3291.7
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  • Derivation by Partition Function 30. Derivation by Partition Functi… 3672.7333333333331
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  • Derivation by Partition Function 31. Derivation by Partition Functi… 3822.1666666666665
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  • Few comments on Fermi-Dirac Statistics 32. Few comments on Fermi-Dirac St… 4048.7333333333331
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  • Presentation Outline 33. Presentation Outline 4135.3666666666668
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  • Carrier Distribution 34. Carrier Distribution 4136.7666666666664
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  • Electron Concentration in 3D solids 35. Electron Concentration in 3D s… 4291.7666666666664
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  • Boltzmann vs. Fermi-Dirac Statistics 36. Boltzmann vs. Fermi-Dirac Stat… 4405.6
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  • Effective Density of States 37. Effective Density of States 4443.5333333333338
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  • Law of Mass-Action 38. Law of Mass-Action 4482.6333333333332
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  • Fermi-Level for Intrinsic Semiconductors 39. Fermi-Level for Intrinsic Semi… 4570.7
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  • Conclusions 40. Conclusions 4571.9333333333334
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  • Presentation Outline 41. Presentation Outline 4574.6333333333332
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