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Homework Help: The kinetic energy of the electrons outside the FBZ

  1. Nov 15, 2016 #1
    1. The problem statement, all variables and given/known data
    In solid state physics,we know all the states of free electrons can be expressed by the First Brillouin Zone. We know the $$E(k+K)=E(k)$$ where K is reciprocal lattice vector. We also know that the kinetic energy of the electron is $$E_{k}=\frac{\hbar^2k^2}{2m}$$.

    2. Relevant equations
    For electrons in the FBZ and out of the FBZ, they have different $$E_{k}$$ but same $$E$$

    3. The attempt at a solution
    it is because they have different potential energy?
  2. jcsd
  3. Nov 18, 2016 #2


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    Science Advisor

    How about the band index?
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