By adding the energy of all of the electrons in a unit
volume of the metal
show that the total energy per electron of the metal is
Hint:
To simplify the algebra, first use the Fermi level and your
results in b) to show that the number of electrons
per unit volume with energy in the interval is given by
Prof. Tomas Alberto Arias
Thu Oct 12 17:30:59 EDT 1995
and your
results in b) to show that the number of electrons
per unit volume with energy in the interval 
is given by
