A hydrogenic orbital with radial function of the form $\mathrm{r}^{\alpha} \exp [-\beta \mathrm{r}]$ and $\phi$-part as $\exp [-3 \mathrm{i} \phi]$ corresponds to
(a)$\mathrm{n}>4,\mathrm{l}>3, \mathrm{m}=3$
(b)$\mathrm{n}=4,\mathrm{l}=3, \mathrm{m}=-3$
(c)$\mathrm{n}=4,\mathrm{l}>3, \mathrm{m}=3$
(d)$\mathrm{n}>4, \mathrm{l}=3, \mathrm{m}=-3$
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
r^l with l = 3 (f), no radial node ⇒ n − l − 1 = 0 ⇒ n = 4; e^{−3iφ} ⇒ m = −3: a 4f orbital with m = −3.