Calculate a value of effective magnetic moment mu_(eff) of Ce^(3+) ion

1.	Calculate a value of effective magnetic moment mu_(eff) of Ce^(3+) ion.
Answer» Solution :`mu_(EFF) = g sqrt(J(J+1))` ....(i) where `g = 1 + [(S(S+1)-L(L+1)+J(J+1))/(2J(J+1))]` ...(ii) `Ce^(3+)` as `f^(1)` CONFIGURATION `:. S = 1 xx (1)/(2) = (1)/(2)` `L = 3` `J=L - S` (Subshell is less than half-filled) `= 3-(1)/(2) = (5)/(2)` from (ii) `g= 1 + ([((1)/(2) xx (3)/(2))-(3 xx 4)+((5)/(2) xx (7)/(2))])/(2 xx (5)/(2) xx (7)/(2))= (6)/(7)` from (i) `mu_(eff) = gsqrt(J(J+1))BM` `= (6)/(7) sqrt((5)/(2) xx (7)/(2)) = 2.54 BM`

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