Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 30 : Quantum Mechanical Concepts
 
$\displaystyle n(E) dE$ $\displaystyle =$ $\displaystyle \frac{1}{3\pi^2}\left[\frac{2m}{\hbar^2}\right]^{3/2}[(E+dE)^{3/2}-E^{3/2}]$
$\displaystyle \simeq$ $\displaystyle \frac{1}{3\pi^2}\left[\frac{2m}{\hbar^2}\right]^{3/2}[E^{3/2}(1+ \frac{3dE}{2E})-E^{3/2}]$
$\displaystyle =$ $\displaystyle \frac{1}{2\pi^2}\left[\frac{2m}{\hbar^2}\right]^{3/2}E^{1/2}dE$
 
 
The unit of density of states $ n(E)$ is (eV) $ ^{-1}$ m $ ^{-3}$.
   
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