*What is the maximum number of* electrons in a general atom that can be described by each of the following sets of quantum numbers:

n = 3, l = 3, m_{l} = 1 _____

n = 4, l = 2, m_{l} = 0 _____

n = 5, l = 3 _____

n = 3, m_{l} = 1 _____

We are being asked to determine the **maximum number of electrons** in an atom for each set of quantum numbers given. To solve this problem, let’s first **define and determine the possible values of the four quantum numbers**:

• **principal quantum number (n)**** ****→**** **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**:

Quantum Numbers