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(D) The $C-O$ stretching frequency in metal carbonyls depends on the extent of back-bonding from the metal to the $CO$ ligand. Greater back-bonding in

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$[Mn(CO)_6]^+$

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(D) The $C-O$ stretching frequency in metal carbonyls depends on the extent of back-bonding from the metal to the $CO$ ligand. Greater back-bonding increases the electron density in the $CO$ antibonding $\pi^*$ orbital,which weakens the $C-O$ bond and decreases the stretching frequency. Back-bonding is inversely proportional to the negative charge on the complex and directly proportional to the positive charge. Comparing the complexes: $1. [Fe(CO)_4]^{2-}$ (Charge: $-2$) $2. [Co(CO)_4]^-$ (Charge: $-1$) $3. [Ni(CO)_4]$ (Charge: $0$) $4. [Mn(CO)_6]^+$ (Charge: $+1$) As the positive charge increases,the metal becomes more electron-deficient,reducing the back-donation to the $CO$ ligands. Therefore,$[Mn(CO)_6]^+$ has the least back-bonding,resulting in the strongest $C-O$ bond and the highest $IR$ stretching frequency.

In which of the following complexes does the $C-O$ bond have the maximum $IR$ stretching vibrational frequency?

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