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Jj coupling scheme and electronic configuration

  1. Dec 4, 2011 #1
    1. The problem statement, all variables and given/known data
    Write all possible terms (n1 j1, n2 j2, …) J
    for these electronic configurations (considering jj coupling scheme):
    1s2
    1s2s
    1s22s22p
    1s22s22p5

    3. The attempt at a solution

    1s2
    I have two electrons in the s sub-shell,
    since |l-s|<=j<=l+s then j1=1/2 and j2=1/2.
    This gives possible J values of J=0,1 and the terms are

    (1/2,1/2)0 (1/2,1/2)1


    1s2s
    one electron in 1s and one in 2s.
    Again using a rule |l-s|<=j<=l+s gives j1=j2=1/2 for both electrons.
    j1 and j2 can couple together go give total J=0,1 so the terms are again

    (1/2,1/2)0 (1/2,1/2)1


    So far I'm not sure that this is right, do I have to do this calculations with all electrons
    or can I ignore completely filled shells ? But what about 1s2s then ? Also is my designation
    of these terms like (j1,j2)J correct ?
     
  2. jcsd
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