# How do I calculate the Fermi Energy of a compound?

## Homework Statement

1) This question has to do with pure InAs, with a bandgap 0.33 eV, electron mass 0.02, hole mass 0.41.
(a) Evaluate the number of electrons/m3 int he conduction band at 300K. For this purpose you can assume the Fermi Energy is exactly at the center of the energy gap.

## Homework Equations

If the Fermi energy EF is located at least kT away from the conduction or valence band edge, the probablility of occupation of the electron state is adequately given by
$f(E) = e^{\frac{-(E - E_F )}{k_B T}}$

The number of electrons is given below as Ne
$N_e = N_C e^{\frac{-(E_G - E_F )}{k_B T}} \\ N_C = 2(\frac{2\pi m^{*}_{e} k_B T}{h^2})^{3/2}$

I believe EG is the band gap energy. h is Planck's Constant.

## The Attempt at a Solution

The part where I am stumped is where it says that the "Fermi enery is exactly at the center of the energy gap." Does that mean I take EF to be 0.33 eV / 2? If so, I guess the rest of the problem is just plug and chug.