Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: NET JUNE 2016 · Marks: 2 · Difficulty: Medium
The two limiting wave functions of the ground state of $\mathrm{H} 2+$ molecular ion, as the internuclear separation R goes to (i) $\infty$ (infinity) and (ii) 0 (zero) are (1sa, 1sb are 1s-orbital wave functions of hydrogen atoms a and b in $\mathrm{H}_{2}^{+}$, and $1 \mathrm{s}_{\mathrm{He}}$ is the wave function of the 1s orbital of $\mathrm{He}^{+}$)
(a)(i) $1 \mathrm{s}_{\mathrm{a}}$ (r); (ii) $1 \mathrm{s}_{\mathrm{b}}$ (r)
(b)(i) $1 \mathrm{s}_{\mathrm{b}}$ (r); (ii) $1 \mathrm{s}_{\mathrm{a}}$ (r)