Magnetic moment (spin only) of an octahedral | vedclass

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(C) For an octahedral complex,$CFSE = (-0.4n_{t_{2g}} + 0.6n_{e_g}) \Delta_0$.Given $CFSE = -0.8 \Delta_0$,we test configurations for $d^n$ ions with

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Both $(A)$ and $(B)$

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(C) For an octahedral complex,$CFSE = (-0.4n_{t_{2g}} + 0.6n_{e_g}) \Delta_0$.Given $CFSE = -0.8 \Delta_0$,we test configurations for $d^n$ ions with weak field ligands.For a $d^7$ ion $(t_{2g}^5 e_g^2)$: $CFSE = (-0.4 	imes 5 + 0.6 	imes 2) \Delta_0 = (-2.0 + 1.2) \Delta_0 = -0.8 \Delta_0$. This has $n = 3$ unpaired electrons,so $\mu = \sqrt{3(3+2)} = \sqrt{15} \, BM$.For a $d^2$ ion $(t_{2g}^2 e_g^0)$: $CFSE = (-0.4 	imes 2 + 0.6 	imes 0) \Delta_0 = -0.8 \Delta_0$. This has $n = 2$ unpaired electrons,so $\mu = \sqrt{2(2+2)} = \sqrt{8} \, BM$.Since both configurations are possible with weak field ligands,both $(A)$ and $(B)$ are correct.

Column-$I$	Column-$II$
$A$. $[Co(NH_3)_4(H_2O)_2]Cl_2$	$p$. geometrical isomers
$B$. $[Pt(NH_3)_2Cl_2]$	$q$. paramagnetic
$C$. $[Co(H_2O)_5Cl]Cl$	$r$. diamagnetic
$D$. $[Ni(H_2O)_6]Cl_2$	$s$. metal ion with $+2$ oxidation state

Magnetic moment (spin only) of an octahedral complex having $CFSE = -0.8 \Delta_0$ and surrounded by weak field ligands can be

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