3) Assume that the bandgap of a material is 1.42 eV, and that electrons in the material follow Fermi-Dirac distribution. At 300 K, calculate the probability of each of the following cases: a) A state of 0.20 eV above the Fermi energy level will not contain an electron. b) An energy state at E=E₂ is empty c) For part (a), If the energy above the Fermi level is doubled, what does happen for the probability and why? Ep E₁ 1.42 eV E₂

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3) Assume that the bandgap of a material is 1.42 eV, and that electrons in the material follow
Fermi-Dirac distribution. At 300 K, calculate the probability of each of the following cases:
a) A state of 0.20 eV above the Fermi energy
level will not contain an electron.
b) An energy state at E=E₂ is empty
c)
For part (a), If the energy above the Fermi
level is doubled, what does happen for the
probability and why?
EF
E₁
1.42 eV
E₂
Transcribed Image Text:3) Assume that the bandgap of a material is 1.42 eV, and that electrons in the material follow Fermi-Dirac distribution. At 300 K, calculate the probability of each of the following cases: a) A state of 0.20 eV above the Fermi energy level will not contain an electron. b) An energy state at E=E₂ is empty c) For part (a), If the energy above the Fermi level is doubled, what does happen for the probability and why? EF E₁ 1.42 eV E₂
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