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Arno Smets Working Principle of a Semiconductor Based Solar Cell Band Gap I - Electrons in Atoms Week 2.2.1

Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

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Page 1: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Arno Smets

Working Principle of a Semiconductor Based Solar CellBand Gap I - Electrons in Atoms

Week 2.2.1

Page 2: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Hydrogen

Proton (+)

Electron (-)

Page 3: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

- electron

proton

+

Page 4: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

- electron

proton

+

Page 5: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

- electron

proton

+

Page 6: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

- electron

proton

+

Page 7: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

- electron

proton

+

Page 8: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the H atom

1s

2s

3s

2p

3p

Ground state

Ener

gy

2s

3s

1s

2p

3p

X Y Z

Page 9: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Page 10: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Electron spin

Page 11: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded:

1s

2s

3s

2p

3p

Ener

gy

Pauli principle: two identical electrons can not occupy the same quantum state simultaneously.

Page 12: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Pauli’s Exclusion Principle:

1s

2s

3s

2p

3p

Ener

gy

Pauli principle: two identical electrons can not occupy the same quantum state simultaneously.

Page 13: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded:

1s

2s

3s

2p

3p

Ener

gy

Pauli principle: two identical electrons can not occupy the same quantum state simultaneously.

Page 14: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Helium

Page 15: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

He 1s2

Page 16: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Lithium

Page 17: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Li 1s22s1

Page 18: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Be 1s22s2

Page 19: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

B 1s22s22p1

Page 20: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

C 1s22s22p2

Page 21: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

N 1s22s22p3

Page 22: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

B 1s22s22p4

Page 23: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

B 1s22s22p5

Page 24: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Ne 1s22s22p6

Page 25: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Na 1s22s22p63s1

Page 26: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Mg 1s22s22p63s2

Page 27: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded

1s

2s

3s

2p

3p

Ener

gy

Al 1s22s22p63s23p1

Page 28: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

How strong are electrons bonded: the Si atom

1s

2s

3s

2p

3p

Ener

gy

Si 1s22s22p63s23p2

Page 29: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Bonding of electrons in Si network

1s

2s

3s

2p

3p

Ener

gy

Si atom: 14 electrons

Page 30: Working Principle of a Semiconductor Based Solar Celldelftxdownloads.tudelft.nl/ET3034TUx-SolarEnergy/Week2/ET3034TU… · 2s 3s 2p 3p gy Pauli principle: two identical electrons

Bonding of electrons in Si network

3s

3p