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Q. According to molecular orbital theory, which is correct statement regarding $O_2$?

Haryana PMTHaryana PMT 2009Chemical Bonding and Molecular Structure

Solution:

$O_{2}(16)=\sigma 1 s^{2}, \sigma^{*} 1 s^{2}, \sigma 2 s^{2}, \sigma^{*} 2 s^{2}, \sigma 2 p_{z}^{2}, \pi 2 p_{x}^{2} \approx \pi 2 p_{y}^{2}, \pi^{*} 2 p_{x}^{1} \approx \pi^{*} 2 p_{y}^{1}$
Bond order $=\frac{10-6}{2}=2$ Due to the presence of unpaired electrons, $O_{2}$ is paramagnetic.
$O_{2}^{-}(17)=\sigma 1 s^{2}, \sigma^{*} 1 s^{2}, \sigma 2 s^{2}, \sigma^{*} 2 s^{2}, \sigma 2 p_{z}^{2}, \pi 2 p_{x}^{2} \approx \pi 2 p_{y}^{2}, \pi^{*} 2 p_{x}^{2} \approx \pi^{*} 2 p_{y}^{1}$
Bond order $=\frac{10-7}{2}=1.5$
$\therefore $ B.O. of $O_{2}>O_{2}^{-}$ paramagnetic.