1.

A system comprises an atom in `.^(2)P_(3//2)` state and a `d` ekectron. Find the possible spectral terms of that system.

Answer» The atom has `s_(1)=1//2, l_(1)=1,j=(3)/(2)`
The electron has `S_(2)=(1)/(2), l_(2)=2` so the total angular momentum quantum number must be
`j_(2)=(3)/(2)` or `(5)/(2)` ltbtgt In `L-S` compling we get `S=0,1.L=1,2,3` and the terms that can be formed are the same as written in the problem above. The possible values of angular momentum are consistant with the addition `j_(1)=(3)/(2) to j_(2)=(3)/(2)` or `(5)/(2)`.
The latter gives us `J=0,1,2,3, 1,2,3,4`
All these values are reached above.


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