Questions: List all possible values of the angular momentum quantum number l for an atomic electron with principal quantum number n = 4.

List all possible values of the angular momentum quantum number l for an atomic electron with principal quantum number n = 4.
Transcript text: List all possible values of the angular momentum quantum number l for an atomic electron with principal quantum number n = 4.
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Solution

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Solution Steps

Step 1: Understanding the Principal Quantum Number \( n \)

The principal quantum number \( n \) determines the energy level of an electron in an atom. For \( n = 4 \), the electron is in the fourth energy level.

Step 2: Determining the Angular Momentum Quantum Number \( l \)

The angular momentum quantum number \( l \) can take integer values from 0 up to \( n-1 \). Therefore, for \( n = 4 \):

\[ l = 0, 1, 2, 3 \]

Final Answer

\(\boxed{l = 0, 1, 2, 3}\)

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