The density of free electrons in an arbitrary semiconductor in a given energy band is obtained by considering that there must be an available state in this band and by weighting it with the probability that this state is occupied. a) State the mathematical description of this carrier density, explaining the meaning of each term. b) Considering the conduction band stall, explain why the distribution of carriers as a function of energy is not monotonically increasing (or decreasing) Please explain each step as I'm having trouble in understanding this subject.

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The density of free electrons in an arbitrary semiconductor in a given energy band is obtained by considering that there must be an available state in this band and by weighting it with the probability that this state is occupied.

a) State the mathematical description of this carrier density, explaining the meaning of each term.

b) Considering the conduction band stall, explain why the distribution of carriers as a function of energy is not monotonically increasing (or decreasing)

Please explain each step as I'm having trouble in understanding this subject.

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