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Reduced zone scheme

  1. Jun 30, 2009 #1
    Hi,

    I was just wondering if there is any reason why the reduced zone scheme of the
    free electron gas is looking like here (and in all other textbooks):

    http://www.pha.jhu.edu/~jeffwass/2ndYrSem/slide19.html [Broken]

    I mean I could add any reciprocal lattice vector which moves
    the particular energy branch in the 1. brillouin-zone.


    thanks in advance
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jun 30, 2009 #2
    The reduced zone scheme is where all the bands have been translated into the first Brillouin zone. I don't really understand the question you are asking? You can't add a reciprocal lattice vector to a band to move it around in the zone, because the zone is the size of the reciprocal lattice vectors. Have a look at the extended zone scheme; the branches are periodic. if you add a reciprocal lattice vector to one of the bands, you translate it by exactly its period.
     
  4. Jun 30, 2009 #3
    Edit: Yeah, you're right. There is only one possibility to move a branch in the 1. brillouin-zone.
    Thanks.
     
    Last edited: Jun 30, 2009
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