The lowest energy unnormalized wave function of H₂⁺molecule is (r₁. and r₂ are the distances between the… · ABC26PH1310

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: CSIR NET JUNE 2016 · Marks: 2 · Difficulty: Medium

The lowest energy unnormalized wave function of $\mathrm{H}_{2}^{+}$molecule is $\left(\mathrm{r}_{1}\right.$ and $\mathrm{r}_{2}$ are the distances between the electron and nuclei 1 and 2, respectively)
(a)$\psi=\left(e^{\frac{-r_{1}}{a_{0}}}+e^{\frac{-r_{2}}{a_{0}}}\right)$
(b)$\psi=\left(e^{\frac{-r_{1}}{a_{0}}}-e^{\frac{-r_{2}}{a_{0}}}\right)$
(c)$\psi=\left(\mathrm{e}^{\frac{-\mathrm{r}_{1}}{\mathrm{a}_{0}}}\right)$
(d)$\psi=\left(\mathrm{e}^{\frac{-\mathrm{r}_{2}}{\mathrm{a}_{0}}}\right)$
Answer
Answer: A ✓ checked by 4AB · confidence high

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

Explanation
The bonding LCAO of H₂⁺ is the symmetric sum of the two 1s functions: e^{−r₁/a₀} + e^{−r₂/a₀}.

Study loop for Quantum Chemistry

1. Practise the PYQsPrevious-year questions, with answers

· Browse this chapter in the app