# Problem: What is the maximum number of electrons in an atom that can have the following quantum numbers?n = 4, l = 1, ml = 0

###### FREE Expert Solution

In this problem, we are being asked to determine the maximum number of electrons in an atom that has a quantum number of n = 4, ℓ = l, and ml = 0.

Next, let’s define and determine the possible values of the quantum numbers:

the principal quantum number  energy level in orbitals and its value could be any positive integer starting from 1 to infinity

angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

▪ Each ℓ value corresponds to a subshell:

= 0 → s subshell
= 1 → p subshell
= 2 → d subshell
= 3 → f subshell

• magnetic quantum number (m) → range of values from - to +

▪ The m values (for each ℓ) represent electron orbitals for the subshell:

s subshell→ 1 orbital
p subshell→ 3 orbitals
d subshell → 5 orbitals
f subshell → 7 orbitals

96% (143 ratings) ###### Problem Details

What is the maximum number of electrons in an atom that can have the following quantum numbers?

n = 4, l = 1, ml = 0