Assuming $2 s-2 p$ mixing is not operative, the paramagnetic species among the following is
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Assuming $2 s-2 p$ mixing is not operative, the paramagnetic species among the following is —

(a) ${Be}_2$

(b) ${B}_2$

(c) ${C}_2$

(d) ${N}_2$

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The correct option is (c)

Explanation —

If $2 s-2 p$ mixing is not operative, then molecular orbitals may be arranged in order of energy as follows :

$\sigma 1 s, \quad \sigma^* 1 s, \quad \sigma 2 s, \quad \sigma^* 2 s, \quad \sigma 2 p_z, \quad \pi 2 p_x=\pi 2 p_y$, $\pi^* 2 p_x=\pi^{\star} 2 p_y, \sigma^* 2 p_z$

Applying this configuration, $\mathrm{Be}_2, \mathrm{~B}_2$ and $\mathrm{N}_2$ will be diamagnetic, but $C_2$ will be paramagnetic with electronic configuration :

$\sigma 1 s^2, \sigma^* 1 s^2, \sigma 2 s^2, \sigma^* 2 s^2, \sigma 2 p_z^2, \pi 2 p_x^1=\pi 2 p_y^1$

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