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

Options

A. `O_(2)^(+)`
B. `O_(2)^(-)`
C. `O_(2)^(2-)`
D. `O_(2)^(2+)`

Answer

D

Explanation

Bond order `=("No. Of bonding electrons " - "No. Of antibonding electrons")/(2)`
Bond order in `O_(2)^(+)=(10-5)/(2)=2.5" "` Bond order in `O_(2)^(-)=(10-7)/(2)=1.5`
Bond order in `O_(2)^(2-)=(10-8)/(2)=1" "` Bond order in `O_(2)^(2+)=(10-4)/(2)=3`
Since Bond order `prop (1)/("Bond length")" " therefore` Bond length is shortest in `O_(2)^(2+)`.