Can l Be Equal to 4 in Quantum Numbers?

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In quantum mechanics, the principal quantum number (n) determines the energy level of an electron, while the angular momentum quantum number (l) defines its shape. The values of l can range from 0 to n-1, meaning if n is 4, l can take values of 0, 1, 2, or 3, but not 4. The discussion highlights confusion regarding whether l can equal 4, with clarification that it cannot based on established quantum number rules. The answer key confirms that l can only be 2 or 3 for certain principal quantum numbers. Understanding these quantum number specifications is crucial for accurate interpretation in quantum mechanics.
protractor
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Homework Statement
A hydrogen atom orbital has n=5 and ml=-2. What are the possible values of l for this orbital?
Relevant Equations
n=5 ml=-2
n is the principal quantum number.
l is the angular momentum quantum number.
ml is the magnetic quantum number.

The possible values of l are 2, 3, and 4. I'm not sure if l can be equal to 4.

On the answer key, it shows l = 2, 3.
 
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protractor said:
I'm not sure if l can be equal to 4.

Values it can take are very precisely specified, have you checked what does the specification say?
 

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