find B.O. of O2^+and O2^-
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The higher the order of the bond the greater the pull between the two atoms and the shorter the length of the bond.
Let us calculate the bond order
Bond order (B.O) 1/2 × [Number of an electron in antibonding molecular orbitals] – [Number of electrons in bonding molecular orbitals]
(1) B.O for O2 = 1/2 × [10 – 6]
B.O for O2 = 2
(2) B.O for O2– = 1/2 × [10 – 7]
B.O for O2– = 1.5
(3) B.O for O2+ = 1/2 × [10 – 5]
B.O for O2+ = 2.5
(4) B.O for O22- = 1/2 × [10 – 8]
B.O for O22- = 1
∴ The increasing order of bond length for these species is
O2+ < O2 < O2– < O22-
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