Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 33 : Electrons and Holes
  If $ E_c$ is the energy of the bottom of the conduction band and $ E_v$ is that of the top of the valence band, the density of states of electrons and holes in these two bands are respectively given by
 
$\displaystyle n_c(E)$ $\displaystyle =$ $\displaystyle \frac{1}{2\pi^2}\left(\frac{2m_e}{\hbar^2}\right)^{3/2}(E-E_c)^{1/2}$
$\displaystyle n_v(E)$ $\displaystyle =$ $\displaystyle \frac{1}{2\pi^2}\left(\frac{2m_h}{\hbar^2}\right)^{3/2}(E_v-E)^{1/2}$
   
 
\includegraphics{fig5.18.eps}
   
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