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What is stretching frequency of C-O bond in carbonyl Complexes?

V^co = 1/2πc√k/u

Where u= reduced mass of CO
            k =force constant of CO bond
            C= Velocity of light 
           V^CO = Stretching frequency of CO in carbonyl which increases energy to stretch CO along bond axis.

(1) Stretching frequency of CO is inversely proportional to negative oxidation state of central metal atom
(2) Extent of back bonding or back acceptance is directly proportional to negative oxidation state of central metal atom.
(3) M-C bond order is directly proportional to negative oxidation state of central metal atom
(4) C-O bond order is inversely proportional to negative oxidation state of central metal atom.
(5) d C-O bond length is directly proportional to negative oxidation state of central metal atom.
(6) Bond energy of C-O bond is inversely proportional to negative oxidation state of central metal atom 

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