The radial part of a hydrogenic wave function is given as r(α-r) e-β r (α, β are constants). This function is… · ABC26PH1275
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Hydrogen Atom · Exam: CSIR NET JUNE 2014 · Marks: 2 · Difficulty: Medium
The radial part of a hydrogenic wave function is given as $\mathrm{r}(\alpha-\mathrm{r}) \mathrm{e}^{-\beta \mathrm{r}}$ ( $\alpha, \beta$ are constants). This function is then indentifiable as
(a)2 s
(b)$3 p$
(c)4 d
(d)5 f
Answer
Answer: B ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
The factor r means l = 1 (p), and the single root of (α − βr) gives one radial node ⇒ n − l − 1 = 1 ⇒ n = 3: a 3p function.