Question 2:

The Fermi energy level for a particular material at T = 300 K is 5.50 eV. The electrons in this

material follow the Fermi-Dirac distribution function.

a) [10] Find the probability of an energy level at 5.80 eV being occupied by an electron.

b) [10] Repeat pan (a) if the temperature is increased to T = 800 K.

c) [10] Calculate the energy level where probability of finding an electron at room temperature

is 75%.

d) [10] Calculate the temperature at which there is 8 percent probability that a state 5eV below

the Fermi level will be empty of an electron.