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Question: Answered & Verified by Expert
Using MO theory predict which of the following species has the shortest bond length ?
ChemistryChemical Bonding and Molecular StructureJEE MainJEE Main 2009
Options:
  • A
    $\mathrm{O}_2^{2+}$
  • B
    $\mathrm{O}_2^{+}$
  • C
    $\mathrm{O}_2^{-}$
  • D
    $\mathrm{O}_2^{2-}$
Solution:
1668 Upvotes Verified Answer
The correct answer is:
$\mathrm{O}_2^{2+}$
Bond length $\alpha \frac{1}{\text { bond order }}$
Bond order $=\frac{\text { no..of bonding } \overline{\mathrm{e}}-\text { no.of antibonding } \overline{\mathrm{e}}}{2}$
Bond orders of $\mathrm{O}_2^{+}, \mathrm{O}_2^{-}, \mathrm{O}_2^{-2}$ and $\mathrm{O}_2^{+2}$ are respectively $2.5,1.5,1$ and 3 .

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