The bond order can be calculated by molecular orbital theory | Molecule | Bond Order |
|---|
| $\mathrm{NO^{+}}$ | 3 |
| $\mathrm{O_2^{+}}$ | 2.5 |
| $\mathrm{N_2^{+}}$ | 2.5 |
| $\mathrm{C_2^{+}}$ | 1.5 |
\[ \mathrm{NO^{+}} = \sigma_{1s}^{2} < \sigma_{1s}^{*2} < \sigma_{2s}^{2} < \sigma_{2s}^{*2} < \pi_{2px}^{2}=\pi_{2py}^{2} < \sigma_{2pz}^{2} \]
\[ \mathrm{O_2^{+}} = \sigma_{1s}^{2} < \sigma_{1s}^{*2} < \sigma_{2s}^{2} < \sigma_{2s}^{*2} < \pi_{2px}^{2}=\pi_{2py}^{2} < \sigma_{2pz}^{2} < \pi_{2pz}^{*1}=\pi_{2py}^{*1} \]
\[ \mathrm{N_2^{+}} = \sigma_{1s}^{2} < \sigma_{1s}^{*2} < \sigma_{2s}^{2} < \sigma_{2s}^{*2} < \pi_{2px}^{2}=\pi_{2py}^{2} < \sigma_{2pz}^{1} \]
\[ \mathrm{C_2^{+}} = \sigma_{1s}^{2} < \sigma_{1s}^{*2} < \sigma_{2s}^{2} < \sigma_{2s}^{*2} < \pi_{2px}^{2}=\pi_{2py}^{1} \]
\[ \text{Bond order of } \mathrm{NO^{+}} = \frac{8-2}{2} = 3 \]
\[ \text{Bond order of } \mathrm{O_2^{+}} = \frac{8-3}{2} = 2.5 \]
\[ \text{Bond order of } \mathrm{N_2^{+}} = \frac{7-2}{2} = 2.5 \]
\[ \text{Bond order of } \mathrm{C_2^{+}} = \frac{5-2}{2} = 1.5 \]