The complex with highest magnitude of crystal field splitting energy is [2023]

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Solution

Q.
The complex with highest magnitude of crystal field splitting energy $(Δ_{0})$ is [2023]

1 ${[Cr {(H_{2} O)}_{6}]}^{3 +}$

2 ${[Fe {(H_{2} O)}_{6}]}^{3 +}$

3 ${[Ti {(H_{2} O)}_{6}]}^{3 +}$

4 ${[Mn {(H_{2} O)}_{6}]}^{3 +}$

Ans.
(1)

For octahedral complexes

$CFSE = - 0.4 n_{t_{2 g}} + 0.6 n_{e_{g}}$

$For {[{Mn (H_{2} O)}_{6}]}^{3 +} : {Mn}^{3 +} \Rightarrow 3 d^{4} \Rightarrow t_{2 g}^{1, 1, 1} e_{g}^{1, 0} \Rightarrow CFSE = - 0.6 Δ_{0}$

$For {[{Cr (H_{2} O)}_{6}]}^{3 +} : {Cr}^{3 +} \Rightarrow 3 d^{3} \Rightarrow t_{2 g}^{1, 1, 1} e_{g}^{0, 0} \Rightarrow CFSE = - 1.2 Δ_{0}$

$For {[{Fe (H_{2} O)}_{6}]}^{3 +} : {Fe}^{3 +} \Rightarrow 3 d^{5} \Rightarrow t_{2 g}^{1, 1, 1} e_{g}^{1, 1} \Rightarrow CFSE = 0$

$For {[{Ti (H_{2} O)}_{6}]}^{3 +} : {Ti}^{3 +} \Rightarrow 3 d^{1} \Rightarrow t_{2 g}^{1, 0, 0} e_{g}^{0, 0} \Rightarrow CFSE = - 0.4 Δ_{0}$

$∴$ $Complex {[{Cr (H_{2} O)}_{6}]}^{3 +} has the highest value of CFSE.$

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