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Residual electron-electron interactions, atomic terms

  1. May 1, 2016 #1
    1. The problem statement, all variables and given/known data
    An atom with an excited-state configuration
    1s22s22p63s23p64s23d14p1
    With residual electron-electron interactions are taken into account, this configuration splits into atomic terms. List these terms labelled by thier L and S quantum numbers

    2. Relevant equations
    L=|l1-l2|, |l1-l2|+1,..., l1+l2-1, l1+l2
    S=|s1-s2|, |s1-s2|+1,..., s1+s2-1, s1+s2
    3. The attempt at a solution
    With 3d14p1open would give l1=2 s1=1/2 and l2=1 s1=1/2
    Thus L = 1, 2 and 3 and S = 0 and 1. Which give the pairs

    (1,0)
    (1,1)
    (2,0)
    (2,1)
    (3,0)
    (3,1)

    Is this correct?

    If these are correct then I looked at the degeneracy of each of the terms above and total degenerate states would be 60. How can I confirm that this agrees with the number expected from the l and s quantum numbers of the two valence electrons in the configuration above?
     
    Last edited: May 1, 2016
  2. jcsd
  3. May 1, 2016 #2
    From my question above can I look at (2L+1)(2S+1)??? Is there another way from l and s
     
    Last edited: May 1, 2016
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