ECE 656 Lecture 9: Thermoelectric Effects - Charge Flow

By Mark Lundstrom

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

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Abstract

Outline:

  1. Introduction
  2. Charge transport in a temperature gradient
  3. Mathematical formulation
  4. Discussion
  5. Summary

Cite this work

Researchers should cite this work as follows:

  • Mark Lundstrom (2011), "ECE 656 Lecture 9: Thermoelectric Effects - Charge Flow," https://nanohub.org/resources/12126.

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Location

ECE 115, Purdue University, West Lafayette, IN

Tags

  1. Charge Transport
  2. course lecture
  3. Landauer's formula
  4. low-bias transport
  5. nanoelectronics
  6. nanotransistors
  7. thermoelectricity/thermoelectrics
ECE 656 Lecture 9: Thermoelectric Effects - charge flow
  • ECE-656: Fall 2011 Lecture 9: Thermoelectric Effects: charge flow Professor Mark Lundstrom Electrical and Computer Engineering Purdue University, West Lafayette, IN USA 1. ECE-656: Fall 2011 Lecture 9:… 0
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  • review 2. review 7.6
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  • transport in the bulk (3D) 3. transport in the bulk (3D) 119.06666666666666
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  • mathematical description of bulk transport 4. mathematical description of bu… 236.4
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  • mathematical description 5. mathematical description 390.5
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  • in this lecture… 6. in this lecture… 418.16666666666669
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  • outline 7. outline 433.13333333333333
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  • temperature gradients and voltage 8. temperature gradients and volt… 462.83333333333331
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  • current is proportional to (f1 – f2) 9. current is proportional to (f1… 548.7
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  • n-type semiconductor: equilibrium, V = 0 10. n-type semiconductor: equilib… 618.3
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  • n-type semiconductor: isothermal, V > 0 11. n-type semiconductor: isother… 743.0333333333333
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  • Seebeck effect 12. Seebeck effect 838
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  • Seebeck effect (ii) 13. Seebeck effect (ii) 881.56666666666672
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  • Seebeck coefficient 14. Seebeck coefficient 1012.3333333333334
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  • Seebeck coefficient: recap 15. Seebeck coefficient: recap 1177.3333333333333
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  • outline 16. outline 1308.4666666666667
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  • driving “forces” for transport 17. driving “forces” for trans… 1429.1
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  • when ΔT = 0, the driving force is: ΔEF 18. when ΔT = 0, the driving forc… 1482.8666666666666
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  • driving force: differences in temperature 19. driving force: differences in… 1523.9
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  • n-type vs. p-type… 20. n-type vs. p-type… 1636.7666666666667
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  • n-type vs. p-type (ii)… 21. n-type vs. p-type (ii)… 1658.6
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  • finally: differences in both EF and T 22. finally: differences in both … 1687.4333333333334
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  • the math… 23. the math… 1737.2666666666667
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  • the math… 24. the math… 1817.2666666666667
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  • re-cap 25. re-cap 1889.9333333333334
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  • inverted form 26. inverted form 1930.5333333333333
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  • outline 27. outline 1998.5333333333333
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  • current equation in the bulk 28. current equation in the bulk 2031.5333333333333
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  • current equation in the bulk (ii) 29. current equation in the bulk (… 2124.7
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  • inverted form of the current equation 30. inverted form of the current e… 2161.0333333333333
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  • hot point probe 31. hot point probe 2181.6666666666665
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  • basic equation 32. basic equation 2233.6
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  • Seebeck coefficient 33. Seebeck coefficient 2263.3666666666668
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  • Example: transport parameters of n-Ge 34. Example: transport parameters… 2388.6333333333332
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  • TE transport parameters of n-Ge: resistivity 35. TE transport parameters of n-G… 2425.2
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  • TE transport parameters of n-Ge: Seebeck coeff. 36. TE transport parameters of n-G… 2459.3666666666668
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  • Seebeck coefficient of Ge 37. Seebeck coefficient of Ge 2541.2666666666669
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  • “full band” Seebeck coefficient 38. “full band” Seebeck coeffi… 2600.2333333333331
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  • understanding Seebeck coefficients 39. understanding Seebeck coeffici… 2685.5666666666666
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  • outline 40. outline 2786.2666666666669
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  • mathematical description 41. mathematical description 2792.3
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  • transport parameters 42. transport parameters 2815.8333333333335
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  • questions 43. questions 2841.1333333333332
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