What are the possible values of the angular momentum quantum number l?

Any non-negative integer number less than the principal quantum number (n). This is ℓ = 0, 1, 2, 3, ... n-1.

Explanation:

The possible values of the angular momentum quantum number ℓ are any non-negative integer value less than the principal quantum number n.

So, the possible values of the angular momentum quantum number ℓ are:

n ℓ

1 0

2 0, 1

3 0, 1, 2

4 0, 1, 2, 3

5 0, 1, 2, 3, 4

6 0, 1, 2, 3, 4, 5

7 0, 1, 2, 3, 4, 5, 6

Also, you must know that the angular momentum quantum number is related with the type (shape) of the orbital. This is the relation:

ℓ shape

0 s

1 p

2 d

3 f