1.

A certain atom is in the state in which `S=2`, the total angular momentum `sqrt(2 ħ)`, and the magnetic moment is equal to zero. Write the spectral symbol of the corresponding term.

Answer» From `M= ħsqrt(J+1)=sqrt(2 ħ)`
we find `J=1`. From the zero value of the magnetic moment we find
`g=0`
or `1+(1xx2L(L+1)+2xx3)/(2xx1xx2)=0`
`1+(-L(L+1)+8)/(4)=0`
or `12=L(L+1)`
Hence `L=3`. The state is
`.^(5)F_(1)`.


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