Q88 · CSIR-NET Chemistry, June 2013

Paper: CSIR-NET June 2013 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Marks: 2 · Difficulty: Medium

The hydrogenic orbital with the form of the radial function $\mathrm{r}^{2}\left(\alpha_{1}-\mathrm{r}\right)\left(\alpha_{2}-\mathrm{r}\right) \exp [-\beta \mathrm{r}]$ where $\mathrm{a}_{1}, \mathrm{a}_{2}$ and b are constants, may be identified as a
(a)3d orbital
(b)4f orbital
(c)5d orbital
(d)5f orbital
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
r² prefactor ⇒ l = 2 (d); a quadratic polynomial in r ⇒ 2 radial nodes ⇒ n − l − 1 = 2 ⇒ n = 5: a 5d orbital.

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