Residual electron-electron interactions, atomic terms

  • Thread starter klw289
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Homework Statement


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

Homework Equations


L=|l1-l2|, |l1-l2|+1,..., l1+l2-1, l1+l2
S=|s1-s2|, |s1-s2|+1,..., s1+s2-1, s1+s2

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?
 
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Answers and Replies

  • #2
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From my question above can I look at (2L+1)(2S+1)??? Is there another way from l and s
 
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