1.

Determine the overall degeneracy of a `3D` state of a `Li` atom. What is the physical meaning of that value?

Answer» For a `3d` state of `Li` atom, `S=(1)/(2)` because there is only one electron and `L=2`.
The total degeneracy is
`g=(2L+1)(2S+1)=5xx2=10`.
The states are `.^(2)D_(3/2)` and `.^(2)D_(5//2)` and we check that
`g= 4+6=(2xx(3)/(2)+1)+(2xx(5)/(2)+1)`


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