Q113 · CSIR-NET Chemistry, December 2011

Paper: CSIR-NET December 2011 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Marks: 2 · Difficulty: Medium

An excited triplet state wave function of hydrogen molecule with the electronic configuration $\sigma_{\mathrm{g}}^{1} \sigma_{\mathrm{u}}^{1}$ has the following space part
(a)$\sigma_{\mathrm{g}}(1) \sigma_{\mathrm{u}}(2)$
(b)$\sigma_{\mathrm{g}}(1) \sigma_{\mathrm{u}}(2)+\sigma_{\mathrm{u}}(1) \sigma_{\mathrm{g}}(2)$
(c)$\sigma_{\mathrm{g}}(1) \sigma_{\mathrm{u}}(2)-\sigma_{\mathrm{u}}(1) \sigma_{\mathrm{g}}(2)$
(d)$\sigma_{\mathrm{g}}(1) \sigma_{\mathrm{g}}(2)+\sigma_{\mathrm{u}}(1) \sigma_{\mathrm{u}}(2)$
Answer
Answer: C ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
A triplet has a symmetric spin part, so its space part must be antisymmetric: σ_g(1)σ_u(2) − σ_u(1)σ_g(2).

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