Jj coupling scheme and electronic configuration

  • Thread starter vst98
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Homework Statement


Write all possible terms (n1 j1, n2 j2, …) J
for these electronic configurations (considering jj coupling scheme):
1s2
1s2s
1s22s22p
1s22s22p5

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 ?
 

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