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Conduction band in Na metal

  1. Jan 16, 2013 #1
    1. The problem statement, all variables and given/known data

    Describe the ”conduction band” in Na metal. Why it is half-filled and
    non-magnetic?


    3. The attempt at a solution

    Na has electron configuration: [Ne]3s^1

    the 3s band is highest in energy and is the conduction band for Na. since Na has 1 electron in the 3s band, and the 3s band can hold 2 electrons, the conduction band is half filled.

    this single electron is not spin paired, so this gives a net magnetic moment to the conduction band.

    ----------------
    Why would the conduction band be half filled AND non magnetic? Am I misunderstanding what a conduction band is?
     
  2. jcsd
  3. Jan 20, 2013 #2
    It's not spin-paired in a single sodium atom, but in a solid the situation changes completely. Are you aware of Bloch's theorem?
     
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