**Question:**

Consider that a $\mathrm{d}^{6}$ metal ion $\left(\mathrm{M}^{2+}\right)$ forms a complex with aqua ligands, and the spin only magnetic moment of the complex is $4.90 \mathrm{BM}$. The geometry and the crystal field stabilization energy of the complex is :

Correct Option: , 2

**Solution:**

If spin only magnetic moment of the complex is $4.90 \mathrm{BM}$, it means number of unpaired electrons should be 4 .

(A) In octahedral complex: $\left[\mathrm{M}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}$

$d^{6}$

$\begin{aligned} \text { C.F.S.E. } &=\left(-0.4 \Delta_{0}\right) \times 4+\left(+0.6 \Delta_{0}\right) \times 2+0 \times \mathrm{P} \\ &=-0.4 \Delta_{0} \end{aligned}$

$\begin{aligned} \text { C.F.S.E. } &=\left(-0.6 \Delta_{t}\right) \times 3+\left(+0.4 \Delta_{t}\right) \times 3+0 \times \mathrm{P} \\ &=-0.6 \Delta_{t} \end{aligned}$