Chemical Bonding Result Question 6

6. Two pi and half sigma bonds are present in

(2019 Main, 10 Jan I)

(a) $\mathrm{O}_2^{+}$

(b) $\mathrm{N}_2$

(c) $\mathrm{N}_2^{+}$

(d) $\mathrm{O}_2$

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Answer:

Correct Answer: 6. ( c )

Solution:

  1. The energy order of $MOs$ of the given species are as follows:

$\begin{aligned} \mathrm{O}_2\left(16 e^{-\prime} s\right) & =\sigma 1 s^2, \sigma^* 1 s^2, \sigma 2 s^2, \sigma^* 2 s^2, \sigma 2 p_z^2, \\ \pi 2 p_x^2 & =\pi 2 p_y^2, \pi^* 2 p_x^1=\pi^* 2 p_y^1, \\ \mathrm{O}_2^{+}\left(15 e^{-\prime} s\right) & =\sigma 1 s^2, \sigma^* 1 s^2, \sigma 2 s^2, \sigma^* 2 s^2, \sigma 2 p_z^2, \\ \pi 2 p_x^2 & =\pi 2 p_y^2, \pi^* 2 p_x^1 \approx \pi^* 2 p_y^0 \\ \mathrm{~N}_2\left(14 e^{-} \mathrm{s}\right) & =\sigma 1 s^2 \sigma^* 1 s^2, \sigma 2 s^2, \sigma^* 2 s^2 \\ \pi 2 p_x^2 & =\pi 2 p_y^2, \sigma 2 p_z^2 \\ \mathrm{~N}_2^{+}\left(13 e^{-} \mathrm{s}\right) & =\sigma 1 s^2 \sigma^* 1 s^2 \sigma 2 s^2 \sigma^* 2 s^2 \\ \pi 2 p_x^2 & =\pi 2 p_z^2 \sigma 2 p_z^1\end{aligned}$

Thus, in case of $\mathrm{N}_2^{+}$, two $\pi$ -bonds and half $\sigma$ -bond are present in the bonding $MOs$.