a) What is the probability of an electron state being filled if it is located at the Fermi level? (b) If the probability that a state being filled at the conduction band edge (Ec) is precisely equal to the probability that a state is empty at the valence band edge (Ev), where is the Fermi level located? (c) The Maxwell–Boltzmann distribution is often used to approximate the Fermi- Dirac distribution function. On the same set of axes, sketch both distributions as a function of (E – E F)/kT. Consider only positive values of E – EF . For what range of (E – EF)/kT is the Maxwell–Boltzmann approximation accurate to within 10%?
a) What is the probability of an electron state being filled if it is located at the Fermi level? (b) If the probability that a state being filled at the conduction band edge (Ec) is precisely equal to the probability that a state is empty at the valence band edge (Ev), where is the Fermi level located? (c) The Maxwell–Boltzmann distribution is often used to approximate the Fermi- Dirac distribution function. On the same set of axes, sketch both distributions as a function of (E – E F)/kT. Consider only positive values of E – EF . For what range of (E – EF)/kT is the Maxwell–Boltzmann approximation accurate to within 10%?
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a) What is the probability of an electron state being filled if it is located at the Fermi
level?
(b) If the probability that a state being filled at the conduction band edge (Ec) is
precisely equal to the probability that a state is empty at the valence band edge
(Ev), where is the Fermi level located?
(c) The Maxwell–Boltzmann distribution is often used to approximate the Fermi-
Dirac distribution function. On the same set of axes, sketch both distributions
as a function of (E – E F)/kT. Consider only positive values of E – EF . For what
range of (E – EF)/kT is the Maxwell–Boltzmann approximation accurate to
within 10%?
level?
(b) If the probability that a state being filled at the conduction band edge (Ec) is
precisely equal to the probability that a state is empty at the valence band edge
(Ev), where is the Fermi level located?
(c) The Maxwell–Boltzmann distribution is often used to approximate the Fermi-
Dirac distribution function. On the same set of axes, sketch both distributions
as a function of (E – E F)/kT. Consider only positive values of E – EF . For what
range of (E – EF)/kT is the Maxwell–Boltzmann approximation accurate to
within 10%?
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