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.... energizing Ohio for the 21st Century February 21, 2012 The University of Toledo, Department of Physics and Astronomy SSARE, PVIC Principles and Varieties of Solar Energy (PHYS 4400) and Fundamentals of Solar Cells (PHYS 6980) SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS, EFFECTIVE MASS
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SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

Feb 10, 2017

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Page 1: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Century

February 21, 2012The University of Toledo, Department of Physics  and Astronomy

SSARE, PVIC

Principles and Varieties of Solar Energy (PHYS 4400)and

Fundamentals of Solar Cells (PHYS 6980)

SEMICONDUCTOR  PHYSICS REVIEW –

BONDS, BANDS, EFFECTIVE MASS 

Page 2: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Century

On today’s menu

• Review of semiconductor physics‐ bonds and bands in crystals‐ electrons and holes‐ valence/conduction bands, ‐HOMO‐LUMO concepts

• drift and diffusion• photogenerated carriers‐Absorption coefficient, depth dependence‐ direct vs. indirect gap 

• recombination mechanisms

Page 3: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 4: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 5: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

LUMO

HOMO

Page 6: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 7: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 8: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 9: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 10: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 11: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 12: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 13: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.haverford.edu/physics/songs/livingston/energybandslecture.pdf

Charge carriers increasingly “feel” the crystal potential 

Page 14: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

At the Brillouin boundary

Transport and Nearly‐Free‐Electron Model

Page 15: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

cosine

sine

Page 16: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 17: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 18: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 19: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 20: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Page 21: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Page 22: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Page 23: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Indirect Gap

Page 24: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Direct Gap

Page 25: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Page 26: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st Centuryhttp://www.mse.ncsu.edu/WideBandgaps/classes/MSE%20704/Handouts/BZs&Bands.pdf

Page 27: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 28: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT

Page 29: SEMICONDUCTOR PHYSICS REVIEW – BONDS, BANDS ...

.... energizing Ohio for the 21st CenturyFrom Semiconductors I, by R.W. Collins, UT