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Homework Help: Kittel problem 7.1

  1. Feb 28, 2008 #1
    [SOLVED] kittel problem 7.1

    1. The problem statement, all variables and given/known data
    This question relates to Kittel's solid-state physics book. I have the 8th edition.

    In this question, he says:

    "Show for a simple square lattice (two dimensions) that the kinetic energy of a free electron at a corner of the first (I assume Brillioun is missing) zone is higher than that of an electron at the midpoint of a side face of the zone by a factor of 2."

    But I thought you only discussed Brillioun zones in relation to k-space, not real space? It makes absolutely no sense to me to say that an electron is at a location in the first Brillioun.

    Should this question really be:

    "Show for a simple square lattice (two dimensions) that the kinetic energy of a free electron whose k-vector is at the corner of the first (I assume Brillioun is missing) zone is higher than that of an electron whose k-vector is at the midpoint of a side face of the zone by a factor of 2."

    ?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 29, 2008 #2

    malawi_glenn

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    Science Advisor
    Homework Helper

    Yes the question is to be understood that way :-)
     
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