Question

An excited atoms has the electronic configuration `1s^(2)2s^(2)2p3d` being in the state with the greatest possible total angular momentum, Find the magnetic moment of the atom in that state.

Answer 1

To get the greatest possible angular momentum we must have `S=S_(max)=1`
`L=L_(max)=1+2=3` and`J=L+S=4`
Then `g=1+(4xx5+1xx2-3xx4)/(2xx4xx5)=1+(10)/(40)=(5)/(4)`
and `mu=(5)/(4)sqrt(4xx5)mu_(B)=(5sqrt(5))/(2)mu_(B)`