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Find the total angular momentum of an atom in the state with S=3//2 and L=2 if its magnetic moment is known to be equal to zero. |
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Answer» Solution :SINCE `mu=0` we MUST have EITHER `J=0` or `g=0` is incomplete with `L=2` and `S=(3)/(2)`. Hence `g=0`. Thus `0=1+(J(J+1)+(3)/(2)xx(5)/(2)-2xx3)/(2J(J+1))` or `-3J(J+1)=(15)/(4)-6=-(9)/(4)` Hence `J=(1)/(2)` Thus `M= ħsqrt((1)/(2)xx(3)/(2))=( ħsqrt(3))/(2)` |
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