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.

A certain atom is in the state in which S=2, the total angular momentu

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» SOLUTION :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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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.

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