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## Homework Statement

Write all possible terms (n1 j1, n2 j2, …) J

for these electronic configurations (considering jj coupling scheme):

1s

^{2}

1s2s

1s

^{2}2s

^{2}2p

1s

^{2}2s

^{2}2p

^{5}

## The Attempt at a Solution

1s

^{2}

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 ?