The Fermi energy can be defined as the energy at which the Fermi factor FFD = 0.5. Using...

The Fermi energy can be defined as the energy at which the Fermi factor F_FD = 0.5. Using this definition, show that the constant B_FD in Equation (9.30) is equal to exp(-βE_F) and that

In other words, verify Equations (9.33) and (9.34).