Four diatomic species are listed below in different sequences. Which of these represents the correct order…
Four diatomic species are listed below in different sequences. Which of these represents the correct order of their increasing bond order?
- $\mathrm{C}_2^{2-} < \mathrm{He}_2^{+} < \mathrm{NO} < \mathrm{O}_2^{-}$
- $\mathrm{He}_2^{+} < \mathrm{O}_2^{-} < \mathrm{NO} < \mathrm{C}_2^{2-}$
- $\mathrm{O}_2^{-} < \mathrm{NO} < \mathrm{C}_2^{2-} < \mathrm{He}_2^{+}$
- $\mathrm{NO} < \mathrm{C}_2^{2-} < \mathrm{O}_2^{-} < \mathrm{He}_2^{+}$
Solution
According to molecular orbital theory, the energy level of the given molecules are
$\begin{aligned} & \mathrm{C}_2^{2-} \rightarrow \sigma 1 s^2 \sigma^{\star} 1 s^2 \sigma 2 s^2 \sigma^{\star} 2 s^2 \pi 2 p_x^2 \pi 2 p_y^2 \sigma 2 p_z^2 \\ & \text { B.O. }=1 / 2[10-4]=3 \\ & \mathrm{He}_2^{+} \rightarrow \sigma 1 s^2 \sigma^{\star} 1 s^1 \\ & \text { B.O. }=1 / 2[2-1]=1 / 2=0.5 \\ & \mathrm{NO} \rightarrow \sigma 1 s^2 \sigma^{\star} 1 s^2 \sigma 2 s^2 \sigma^{\star} 2 s^2 \sigma 2 p_z^2 \pi 2 p_x^2 \pi 2 p_y^2 \\ & \quad \pi^{\star} 2 p_x^1\end{aligned}$
$\begin{aligned} & \text { B.O. }=1 / 2[10-5]=2.5 \\ & \mathrm{O}_2^{-} \rightarrow \sigma 1 s^2 \sigma^{\star} 1 s^2 \sigma 2 s^2 \sigma^{\star} 2 s^2 \sigma 2 p_z^2 \pi 2 p_x^2 \pi 2 p_y^2 \pi^{\star} 2 p_x^2 \\ & \text { B.O. }=1 / 2[10-7]=1.5 \\ & \pi^{\star} 2 p_y^1 \\ & \end{aligned}$
So, the correct order of their increasing bond order is $\mathrm{He}_2^{+} < \mathrm{O}_2^{-} < \mathrm{NO} < \mathrm{C}_2^{2-}$
Asked in: NEET 2022 (Phase 1)
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