Question

Using $MO$ theory predict which of the following species has the shortest bond length ?

• A. $O^{2+}_{2}$
• B. $O^{+}_{2}$
• C. $O^{-}_{2}$
• D. $O^{2-}_{2}$

Answer 1

Answer: (A)

$Bond\, length \,\alpha \frac{1}{bond\, order}$
$Bond\, order=\frac{no..of \,bonding\,\bar{e}-no.of\, antibonding\,\bar{e}}{2}$
Bond orders of $O^{+}_{2}, O^{-}_{2}, O^{-2}_{2}$ and $O^{+2}_{2}$ are respectively $2.5, 1.5, 1$ and $3.$