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

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SUMMARY

The quantum numbers for a 3d state in hydrogen are defined by the principal quantum number n = 3 and the azimuthal quantum number l = 2. The total angular momentum L is calculated as L = √(l(l + 1))h, resulting in L = √(6h). The magnetic quantum number Lz can take on values of -2h, -h, h, or 2h, corresponding to the allowed orientations of the angular momentum in a magnetic field. Understanding these quantum numbers is essential for analyzing the electron's behavior 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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