What Are the Quantum Numbers for a 3d State in Hydrogen?

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In a 3d state of hydrogen, the quantum numbers are defined by the principal quantum number n and the azimuthal quantum number l. For a 3d state, n equals 3 and l equals 2. The possible values for the magnetic quantum number Lz are -2h, -h, h, or 2h. The total angular momentum L is calculated as L = √(l(l+1))h, resulting in L = √6h for the 3d state. Understanding the significance of the quantum numbers is crucial for solving related problems in quantum mechanics.
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Homework Statement



Find all possible values of L, Lz, and θ for an electron in a 3d state of hydrogen.


I confuse it long time..

explain me please..
 
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Do you not have any resource to work from or a textbook? Usually you have to offer some attempt at the solution.
 
the answer is

L = \sqrt{6h}

Lz = -2h, -h, h or 2h

but I don't know its solution.
 
Ask yourself, what do the 3 and d mean for a 3d state, what are the values of l and n for a 3d state of H?
 
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