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How do you determine the magnetic quantum numbers specifically? For instance, if l=2, I understand that there are 5 options for a magnetic orientation quantum number because there are 5 d-orbitals. Those 5 numbers are -2,-1,0,1,2. How do we know that it goes from -2 to 2?
I just wanted to add that we don't know which magnetic quantum number represents which orientation unless the problem assigns specific magnetic quantum numbers to specific orbital. For instance, one problem may say ml = 0 is the px orbital, while another may say ml = 0 is the py orbital.
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