Consider that a d⁶ metal ion $\left({\mathrm{M}}^{2+}\right)$ forms a complex with aqua ligands, and the spin only magnetic moment of the complex is 4.90BM. The geometry and the crystal field stabilization energy of the complex is?

The metal ion  ${\mathrm{M}}^{2+}$ with $d^{\mathit{6}}$ configuration with aqua ligands will have ${\mathrm{t}}_{2\mathrm{g}}^4{\mathrm{eg}}^2$ in octahedral field and ${\mathrm{eg}}^3{\mathrm{t}}_{2g}^3$ in tetrahedral. Then crystal field stabilization energy in octahedral field will be $\left[\left(-0.4\times 4\right)+\left(0.6\times 2\right)+P\right]{\Delta }_0$ and in tetrahedral field$\left[\left(-0.6\times 3\right)+(0.4\times 3)+P\right]{\Delta }_t$. The tetrahedral value is $-0.6{\Delta }_t+p$; the value match with 3