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

Question

Using MO theory predict which of the following species has the shortest bond length ? (A) O2+2 (B) O+2 (C) O-2 (D) O2-2

Tardigrade Admin · Accepted Answer

Bond length α (1/bond order) Bond order=(no..of bonding bare-no.of antibonding bare/2) Bond orders of O+2, O-2, O-22 and O+22 are respectively 2.5, 1.5, 1 and 3.

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

$O_{2}^{2 +}$

$O_{2}^{+}$

$O_{2}^{-}$

$O_{2}^{2 -}$

$B o n d l e n g t h α \frac{1}{b o n d or d er}$
$B o n d or d er = \frac{n o .. o f b o n d in g e ˉ - n o . o f an t ib o n d in g e ˉ}{2}$
Bond orders of $O_{2}^{+}, O_{2}^{-}, O_{2}^{- 2}$ and $O_{2}^{+ 2}$ are respectively $2.5, 1.5, 1$ and $3.$

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

O22+​

O2+​

O2−​

O22−​