- #1

HunterDX77M

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## 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/m

^{3}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 E

_{F}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

[itex]f(E) = e^{\frac{-(E - E_F )}{k_B T}}[/itex]

The number of electrons is given below as N

_{e}

[itex]

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}

[/itex]

I believe E

_{G}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 E

_{F}to be 0.33 eV / 2? If so, I guess the rest of the problem is just plug and chug.