Module 6 : PHYSICS OF SEMICONDUCTOR DEVICES
Lecture 31 : Electron in a Periodic Potential
  so that
 
$\displaystyle k = \frac{n\pi}{a+b}$
  For each region of k-space in which the energy is continuous is said to be a Brillouin Zone . Thus the First Brillouin Zone is for $ k$ values running from $ -\pi/(a+b)$ to $ +\pi/(a+b)$, the second Brillouin zone from $ -\pi/(a+b)$ to $ -2\pi/(a+b)$ and from $ \pi/(a+b)$ to $ 2\pi/(a+b)$ and so on. The $ E-k$ diagram where the values of $ k$ extends from $ -\infty$ to $ +\infty$ is called an extended zone scheme .
 
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