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I have a doubt regarding, why changing of position in brillouin zone changes the energy levels? This is because there is a change in the wave functions at every point in brillouin zone. But why is wave function changes? Here, I have attached band structure of 'Si'. enter image description here

How can we identify the s, p, d, f orbitals by looking at the image? Under which condition it on crystal dimensions, it will nearly stop wiggling?
Please, clarify my doubts.Thanks!

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  • $\begingroup$ The Brillouin zone labels the momentum of states - wouldn't it be weirder if the energy didn't depend on momentum? $\endgroup$
    – jacob1729
    Sep 21, 2020 at 10:34
  • $\begingroup$ Your question about s, p, d, etc. orbitals is really separate from your main question an I believe is answered here $\endgroup$ Sep 21, 2020 at 10:36
  • $\begingroup$ You can't regard a crystal as a bunch of s, p, d, ... atomic orbitals. At a particular point in $k$ space you can answer the question of what the overlap of an atomic orbital with a the Bloch function is, but that answer really doesn't get you anywhere. $\endgroup$
    – Jon Custer
    Sep 21, 2020 at 12:50

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