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I am taking a course of solid state physics. My teacher asked me that. I have been looking for the answer in the book Solid State Physics by Ashcroft & Mermin, and also in the book of Ibach & Lüth (with the same title). No success.

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  • $\begingroup$ Knowledge of point symmetry group allows us to reduce the Brillouin zone to the irreducible Brillouin zone (IBZ). Many interesting physics can be analyzed by studying only a few points of IBZ called high symmetry points. Please take a look at this post: physics.stackexchange.com/questions/255058/… $\endgroup$
    – wcc
    Mar 7, 2019 at 22:45
  • $\begingroup$ Perhaps start smaller - what can you say about how the real space representation of a Bravais lattice is related to the reciprocal space representation? $\endgroup$
    – Jon Custer
    Mar 7, 2019 at 22:47

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