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Q. Peroxide ion ___________
a) is diamagnetic
b) has five completely filled antibonding molecular orbitals
c) is isoelectronic with neon
d) has bond order one.
Which one of these is correct?

KCETKCET 2010Chemical Bonding and Molecular Structure

Solution:

Peroxide ion is $O _{2}^{2-}$

$O _{2}^{2-}(18)=\sigma 1 s^{2}, \sigma^{\star} 1 s^{2}, \sigma 2 s^{2}, \sigma^{\star} 2 s^{2}, \sigma 2 p_{z}^{2}$

$\pi 2 p_{x}^{2} \approx \pi 2 p_{y}^{2}, \pi^{\star} 2 p_{x}^{2} \approx \pi^{\star} 2 p_{y}^{2}$

Bond order $=\frac{N_{b}-N_{a}}{2}=\frac{10-8}{2}=1$

It contains four completely filled antibonding molecular orbitals. Since, all the electrons are paired, $O _{2}^{2-}$ is diamagnetic. Peroxide ion is isoelectronic with argon, not with neon.