1. Plot of the Fermi distribution function at two different temperatures. Calculate the Fermi timction at 6.5 eV if EF=6 .25 eV and T=300 K. Repeat for T=950 K assuming that the Fermi energy does not change. Plot the energy dependence of the electron distribution function at T=300 K and at T=950 K assuming EF=6.25 eV.
2. Numerical evaluation of the effective densities of states of Ge, Si and GaAs. Calculate the effective densities of states in the conduction and valence bands of germanium, silicon and gallium arsenide at 300 K.