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Can you help me with this atomic structure problem?

How many orbitals can have the designation 5p, 3dz^2, 4d, n=5, n=4?
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1 Answer

If I understand your question properly, then ...
 
5p - there can be 3, i.e. 5px, 5py and 5pz
 
3dz2 - there can be only 1 
 
4d - there can be 5
 
n = 5 - there can be 25
 
n = 4 = there an be 16