Question

label the orbitals described by each of the following sets of quantum numbers.
(a) ( n = 5, l = 2 )
(b) ( n = 7, l = 3 )
(c) ( n = 4, l = 3 )
use the keterences to access important values if needed for this question.

Explanation:

Step1: Recall the orbital naming convention

Orbitals are named based on the principal quantum number \(n\) and the angular - momentum quantum number \(l\). When \(l = 0\), the orbital is \(s\); when \(l=1\), the orbital is \(p\); when \(l = 2\), the orbital is \(d\); when \(l=3\), the orbital is \(f\).

Step2: Name the orbitals for each case

• Case (a): Given \(n = 5\) and \(l=2\). Since \(l = 2\) corresponds to \(d\) - orbitals, the orbital is \(5d\).
• Case (b): Given \(n = 7\) and \(l = 3\). Since \(l=3\) corresponds to \(f\) - orbitals, the orbital is \(7f\).
• Case (c): Given \(n = 4\) and \(l=3\). Since \(l = 3\) corresponds to \(f\) - orbitals, the orbital is \(4f\).

Answer:

(a) \(5d\)
(b) \(7f\)
(c) \(4f\)