# Density of states and fermi energy

I am trying to find the fermi energy and density of states. From the equation:

K_F^3=3*(pi)^2*n

and

Your first equation is $k_F$ in the Sommerfeld model, so long as the variable $n$ is the electron density, $n = N/V$, where $V$ is the volume of the system and $N$ is the total number of electons in the system. I'm not quite sure what you meant to write for $n$, but it probably works out to the electron density.