The d-orbital electronic configuration of the complex among [ Co ( en ) 3 ] 3 + , [ CoF 6 ] 3 - , [ Mn ( H 2 O ) 6 ] 2 + and [ Zn ( H 2 O ) 6 ] 2 + that has the highest CFSE is: [2025]

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Solution

Q.
The d-orbital electronic configuration of the complex among ${[Co {(en)}_{3}]}^{3 +}, {[{CoF}_{6}]}^{3 -}, {[Mn {(H_{2} O)}_{6}]}^{2 +}$ and ${[Zn {(H_{2} O)}_{6}]}^{2 +}$ that has the highest CFSE is: [2025]

1 $t_{2 g}^{6} e_{g}^{0}$

2 $t_{2 g}^{6} e_{g}^{4}$

3 $t_{2 g}^{3} e_{g}^{2}$

4 $t_{2 g}^{4} e_{g}^{2}$

Ans.
(1)

Complex Configuration of central ion without splitting Configuration of central ion after octahedral splitting CFSE

${[Co(en)_{3}]}^{3 +}$ ${Co}^{3 +} = d^{6}$ $t_{2 g}^{6} e_{g}^{0}$ $6 \times (- 0.4 Δ_{0}) + 2 P = - 2.4 Δ_{0} + 2 P$

${[{CoF}_{6}]}^{3 -}$ ${Co}^{3 +} = d^{6}$ $t_{2 g}^{4} e_{g}^{2}$ $4 \times (- 0.4 Δ_{0}) + 2 \times (0.6 Δ_{0}) = - 0.4 Δ_{0}$

${[Mn(H_{2} O)_{6}]}^{2 +}$ ${Mn}^{2 +} = d^{5}$ $t_{2 g}^{3} e_{g}^{2}$ $3 \times (- 0.4 Δ_{0}) + 2 \times (0.6 Δ_{0}) = 0$

${[Zn(H_{2} O)_{6}]}^{2 +}$ ${Zn}^{2 +} = d^{10}$ $t_{2 g}^{6} e_{g}^{4}$ $6 \times (- 0.4 Δ_{0}) + 4 \times (0.6 Δ_{0}) = 0$

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