How many orbitals have the following set of quantum numbers: n = 5, $\ell$ = 3, $m_{\ell}$ = +2?

Question

Quizplus · Accepted Answer

According to the quantum numbers, there is only one possible orbital with these values. The formula for calculating the number of orbitals for a given set of quantum numbers is 2$\ell$ + 1, which in this case is 2(3) + 1 = 7. However, the value of $m_{\ell}$ limits the possible orientations of the orbital to just one, resulting in only one orbital for this set of quantum numbers.

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

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