The two limiting wave functions of the ground state of H₂⁺ molecular ion, as the internuclear separation R… · ABC26PH1292
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: CSIR 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 ($1s_a$, $1s_b$ are 1s-orbital wave functions of hydrogen atoms a and b in $\mathrm{H_2^+}$, and $1s_{\mathrm{He}}$ is the wave function of the 1s orbital of $\mathrm{He^+}$)
(a)(i) $1s_a(r)$; (ii) $1s_b(r)$
(b)(i) $1s_b(r)$; (ii) $1s_a(r)$
(c)(i) $1s_a(r_1)\,1s_b(r_2)$; (ii) $1s_{\mathrm{He}}(r_1)\,1s_{\mathrm{He}}(r_2)$
(d)(i) $1s_a(r) + 1s_b(r)$; (ii) $1s_{\mathrm{He}}(r)$
Answer
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