For a system of fermions at room temperature, compute the

Chapter 7, Problem 11P

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QUESTION:

For a system of fermions at room temperature, compute the probability of a single-particle state being occupied if its energy is

(a) 1 \(\mathrm{eV}\) less than \(\mu\)

(b) 0.01 \(\mathrm{eV}\) less than \(\mu\)

(c) equal to \(\mu\)

(d) 0.01 \(\mathrm{eV}\) greater than \(\mu\)

(e) 1 \(\mathrm{eV}\) greater than \(\mu\)

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QUESTION:

For a system of fermions at room temperature, compute the probability of a single-particle state being occupied if its energy is

(a) 1 \(\mathrm{eV}\) less than \(\mu\)

(b) 0.01 \(\mathrm{eV}\) less than \(\mu\)

(c) equal to \(\mu\)

(d) 0.01 \(\mathrm{eV}\) greater than \(\mu\)

(e) 1 \(\mathrm{eV}\) greater than \(\mu\)

ANSWER:

Step 1 of 6

Fermi-Dirac distribution is given by:

\(\bar{n}_{\mathrm{FD}}=\frac{1}{e^{(c-\mu) / k T}+1}\)

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