- #1
runnerwei
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The text says that the spin momenta of those electrons cancel each other so S=0.
The text also says that the orbital momenta of those electrons cancel each other so L=0.
But, if there are electrons with quantum numbers (l1,s1) and (l2,s2), using S-L coupling, the L=l1+l2,l1+l2-1,...\l1-l2\,
S=s1+s2,s1-s2
How to reach the conclusion that L=0 and S=0 if the shell is filled?
As according to the coupling rule, the allowed values for S is S=s1+s2,s1-s2. As s1=s2=1/2, S can have two values, 0 and 1. So how would they say that S=0, rather than S=1?
Thx
The text also says that the orbital momenta of those electrons cancel each other so L=0.
But, if there are electrons with quantum numbers (l1,s1) and (l2,s2), using S-L coupling, the L=l1+l2,l1+l2-1,...\l1-l2\,
S=s1+s2,s1-s2
How to reach the conclusion that L=0 and S=0 if the shell is filled?
As according to the coupling rule, the allowed values for S is S=s1+s2,s1-s2. As s1=s2=1/2, S can have two values, 0 and 1. So how would they say that S=0, rather than S=1?
Thx