Which of the following has longest C–O bond length? (Free C–O bond length in CO is 1.128 Å.)

Which of the following has longest C–O bond length? (Free C–O bond length in CO is 1.128 Å.)
A $[Co(CO)_4]^-$
B $[Fe(CO)_4]^{2-}$
C $[Mn(CO)_6]^+$
D $Ni(CO)_4$

Explanation

More negative charge on the metal → more back bonding → longer C–O.

Detailed Solution

The interaction between a filled metal orbital and a vacant orbital of CO is known as back bonding.
When the metal in a metal carbonyl complex carries a negative charge, back bonding increases; the M–C bond length decreases and the C–O bond length increases.
So $[Fe(CO)_4]^{2-}$ has the longest C–O bond: $[Mn(CO)_6]^+ < Ni(CO)_4 < [Co(CO)_4]^- < [Fe(CO)_4]^{2-}$

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