How many orbitals have the following set of quantum numbers: n = 5, $\ell$ = 3, $m _ { \ell }$ = -1?
A) 0
B) 1
C) 3
D) 6
E) 7

Question

Quizplus · Accepted Answer

For a given set of quantum numbers, n = 5 and $\ell$ = 3 (which corresponds to the f subshell), the magnetic quantum number $m _ { \ell }$ can take values from -$\ell$ to +$\ell$, including zero. Therefore, $m _ { \ell }$ = -1 is one of the possible values, indicating there is 1 orbital with these quantum numbers.

How Many Orbitals Have the Following Set of Quantum Numbers ℓ\ellℓ

How Many Orbitals Have the Following Set of Quantum Numbers $\ell$