How Many States Are In One Energy Band of a Semiconductor?

[fouad89]

A rectangular semiconductor has dimensions of 2x2x1 mm, the unit cell is cubic and has edge length of 2 angstroms. find the number of states in one band of this semiconductor.


What I have done:

volume of unit cell = (2x10^7)^3 = 8x10^-21 mm^3
volume of semi conductor = 4 mm^3
number of cells = 4/8x10^-21 = 5X10^20
max number of electrons in one energy band = 2 x number of cells

how do you find the number of states in one band

 

[mfb]

Each electron can fill one state, so if you know the maximal number of electrons in a band, you have the number of states in that band.