The occupancy probability function can be applied to semiconductors as well as to metals. In semiconductors the Fermi energy is close to the midpoint of the gap between the valence band and the conduction band. For germanium, the gap width is 0.67 eV. What is the probability that (a) a state at the bottom of the conduction band is occupied and (b) a state at the top of the valence band is not occupied? Assume that T = 290 K. (Note: In a pure semiconductor, the Fermi energy lies symmetrically between the population of conduction electrons and the population of holes and thus is at the center of the gap.There need not be an available state at the location of the Fermi energy.)
The occupancy probability function can be
applied to semiconductors as well as to metals. In semiconductors
the Fermi energy is close to the midpoint of the gap between the
valence band and the conduction band. For germanium, the gap
width is 0.67 eV. What is the probability that (a) a state at the
bottom of the conduction band is occupied and (b) a state at the
top of the valence band is not occupied? Assume that T = 290 K.
(Note: In a pure semiconductor, the Fermi energy lies symmetrically
between the population of conduction electrons and the population
of holes and thus is at the center of the gap.There need not
be an available state at the location of the Fermi energy.)
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