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16 July, 15:02

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

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  1. 16 July, 16:31
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    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
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