JEE Main · 2019 · Shift-ImediumBOND-125

According to molecular orbital theory, which of the following is true with respect to Li2+ and Li2-?

Chemical Bonding · Class 11 · JEE Main Previous Year Question

Question

According to molecular orbital theory, which of the following is true with respect to Li2+\mathrm{Li_2^+} and Li2\mathrm{Li_2^-}?

Options
  1. a

    Li2+\mathrm{Li_2^+} is stable and Li2\mathrm{Li_2^-} is unstable

  2. b

    Both are unstable

  3. c

    Both are stable

  4. d

    Li2+\mathrm{Li_2^+} is unstable and Li2\mathrm{Li_2^-} is stable

Correct Answerc

Both are stable

Detailed Solution

🧠 A species is stable if its bond order > 0. A species is unstable if BO ≤ 0.

🗺️ MO analysis:

Li2+\mathrm{Li_2^+} (5 electrons): \sigma_{1s}^2\sigma^*_{1s}^2\sigma_{2s}^1 BO = (32)/2=0.5>0(3-2)/2 = 0.5 > 0Stable

Li2\mathrm{Li_2^-} (7 electrons): \sigma_{1s}^2\sigma^*_{1s}^2\sigma_{2s}^2\sigma^*_{2s}^1 BO = (43)/2=0.5>0(4-3)/2 = 0.5 > 0Stable

⚡ Both ions have BO = 0.5, confirming both are stable (though weakly bound compared to Li2\mathrm{Li_2} with BO = 1).

Answer: Both Li2+ and Li2 are stable\boxed{\text{Answer: Both } \mathrm{Li_2^+} \text{ and } \mathrm{Li_2^-} \text{ are stable}}

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