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Homework Help: Lowest energy term symbol for nitrogen

  1. Oct 19, 2011 #1
    1. The problem statement, all variables and given/known data
    Lowest energy term symbols for Nitrogen

    2. Relevant equations

    L=l1+l2, l1+l2-1, l1-l2

    S=s1+s2, s1-s2

    J=S+L, S-L

    3. The attempt at a solution

    So I think I'm doing this right up until finding the J value.
    So the configuration of nitrogen is 1s22s22p3, so were working with 3 electrons

    for the first 2e-

    L`=1+1=2, 1+1-1=1, 1-1=0

    coupling those to the 3rd electron

    L=2+1=3, 2+1-1=2,2-1=1 so L=3,2,1

    L=1+1=2,1+1-1=1, 1-1=0 so L=2,1,0

    L=1-0=1 so L=1

    so therefore there is 1F, 2D,3P,1S

    S for the first 2e-

    S=1/2 + 1/2=1

    S=1/2 - 1/2=0

    coupling to 3rd e-



    Now for the J value I'm getting confused on which L and S values to use

    ex: since there is 2 D terms how do I know which to use????????:

    J= L+S, L-S

    J=2+3/2=7/2 so that TS: 4D7/2

    J=2-3/2= 1/2 so that TS: 4D1/2

    J=2+1/2=5/2 so that TS: 2D5/2

    J=2-1/2= 3/2 so that TS: 2D3/2

    I feel like I'm missing something pretty elementary here and my book doesn't really show many examples for finding the term symbol for more than 1 electron that include the J values.
    It said to list all possible ones, but it might mean just the lowest one (since it says that too) which means I guess I would use Hund's rule.
    Despite that fact I would still like to know which how to use the L and S values to find the possible term symbols
    Thank you for the help!
    Last edited: Oct 19, 2011
  2. jcsd
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