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Which of the following complex ion has electrons that are symmetrically filled in both $t_{2 g}$ and $e_{g}$ orbitals?

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a

{[{CoF}_{6}]}^{3 -}

b

{[Co {({NH}_{3})}_{6}]}^{2 +}

c

{[Mn (CN)_{6}]}^{4 -}

d

{[{FeF}_{6}]}^{3 -}

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detailed solution

Correct option is D

The electronic configurations of central metal ions are:

$_{27} {Co}^{3 +} 3 d^{6};_{27} {Co}^{2 +} 3 d^{7};_{25} {Mn}^{2 +} 3 d^{5};_{26} {Fe}^{3 +} 3 d^{5}$

symmetrically filled $t_{2 g}$ and $e_{g}$ orbitals requires 5 electrons. Of the ${CN}^{-}$ and $F^{-}$ ions, the latter is a weak ligand. The splitting of $t_{2 g}$ and $e_{g}$ will be small and thus will be symmetrically filled ${(t_{2 g})}^{3} {(e_{g})}^{2}$ .

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