The energy diagram is an explicitly defined independent-electron model of a hypothetical X₂ molecule: each isolated atomic orbital has energy0; σ has energy−Δ, σ* has energy+1.5Δ. Two electrons occupy

Question

The energy diagram is an explicitly defined independent-electron model of a hypothetical X₂ molecule: each isolated atomic orbital has energy0; σ has energy−Δ, σ* has energy+1.5Δ. Two electrons occupy σ; ignore nuclear-repulsion and electron-electron corrections. Δ=12600cm⁻¹ and1kcalmol⁻¹=350cm⁻¹. Which statements are correct WITHIN this model?

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The ground model energy is−2Δ, so stabilisation=25200/350=72kcalmol⁻¹. The gap is(+1.5Δ)−(−Δ)=2.5Δ=31500cm⁻¹=90kcalmol⁻¹. After promotion, total energy=−Δ+1.5Δ=+0.5Δ, above the separated-atom reference, hence C. D incorrectly equates an orbital-energy difference with the total ground-state stabilisation. These results are for the stated toy model, not an experimental dissociation-energy prediction.

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