Chemical Bonding Result Question 8

8. According to molecular orbital theory, which of the following will not be a viable molecule?

(2018 Main)

(a) $\mathrm{He}_2^{2+}$

(b) $\mathrm{He}_2^{+}$

(c) $\mathrm{H}^{-}_2$

(d) $\mathrm{H}_2^{2-}$

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Answer:

Correct Answer: 8. ( d )

Solution:

  1. Key Idea: According to M.O.T, the viability of any molecule can be judged through the calculation of bond order.
Electronic Configuration Bond order
$\mathrm{He}_2^{+}$ $\sigma_{1 s^2} \sigma_{1 s^1}^*$ $\frac{2-1}{2}=0.5$
$\mathrm{H}_2^{-}$ $\sigma_{1 s^2} \sigma_{1 s^1}^*$ $\frac{2-1}{2}=0.5$
$\mathrm{H}_2^{2-}$ $\sigma_{1 s^2} \sigma_{1 s^2}^*$ $\frac{2-2}{2}=0$
$\mathrm{He}_2^{2+}$ $\sigma_{1 s^2}$ $\frac{2-0}{2}=1$

The molecule having zero bond order will not be viable hence, $\mathrm{H}^{2-} _2$ (option d) is the correct answer.