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

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

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