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2.32 Calculate the electron concentration in a doped silicon if the Fermi level

ID: 3162480 • Letter: 2

Question

2.32 Calculate the electron concentration in a doped silicon if the Fermi level is as close to the top of the valence band as to the midgap. What is the hole concentration?
ANSWERS: n0=2.66x10^5, p0=3.9x10^14, p-type
Find n0, p0, and whether it's p-type or n-type
The answers are given but I don't know how to solve 2.32 Calculate the electron concentration in a doped silicon if the Fermi level is as close to the top of the valence band as to the midgap. What is the hole concentration?
ANSWERS: n0=2.66x10^5, p0=3.9x10^14, p-type
Find n0, p0, and whether it's p-type or n-type
The answers are given but I don't know how to solve Calculate the electron concentration in a doped silicon if the Fermi level is as close to the top of the valence band as to the midgap. What is the hole concentration?
ANSWERS: n0=2.66x10^5, p0=3.9x10^14, p-type
Find n0, p0, and whether it's p-type or n-type
The answers are given but I don't know how to solve

Explanation / Answer

The fermi energy level for a P-type semiconductor is given by

Ef = [(Ev +Ea ) /2] - KT/2 [ln Na/2(2m*hKT/h2)3/2]

At 0 K , Ef = [(Ev +Ea ) /2]

The energy gap for silicon Eg = 1.1 ev

At 0K, Fermi level is exactly at the middle of the acceptor level on the top of the valence band.

In case of trivalent doping, in which holes are the majority charge carriers,

the fermi level shifts towards the valence band

In case of pentavalent doping, where electrons are the majority charge carriers, the fermi level

shifts towards conduction band.

Since in this particular example, as the fermi level is towards valence band, it can be considered

as a p-type semiconductor.