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Why are there 2n^2 vacancies

  1. May 5, 2010 #1
    Having a mental block, I should know the answer but can't remember!

    Why are there 2n^2 vacancies for each value of n in an atom?

    The factor of two is due to degeneracy in s, and one factor of n comes from angular orbitals, 0<=L<=(n-1), which gives n states (2L+1=n), but where does the second factor of n come from?
     
  2. jcsd
  3. May 5, 2010 #2

    alxm

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    Science Advisor

    Magnetic quantum number: [tex]-l \leq m_l \leq +l[/tex]
     
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