The maximum number of orbitals which can be identified with n=4n=4 and ml=0𝑚𝑙=0 is ______
Question
The maximum number of orbitals which can be identified with n=4 and ml=0 is ______
Solution
The quantum number n=4 refers to the fourth energy level of an atom. The magnetic quantum number ml=0 refers to the orientation of the orbital in space.
For n=4, the possible values for the angular quantum number l can be 0, 1, 2, or 3.
When l=0, we have an s orbital, and for any s orbital, ml can only be 0. So, there is 1 orbital here.
When l=1, we have p orbitals, but for p orbitals, ml can be -1, 0, or 1. So, there is 1 orbital here with ml=0.
When l=2, we have d orbitals, and for d orbitals, ml can be -2, -1, 0, 1, or 2. So, there is 1 orbital here with ml=0.
When l=3, we have f orbitals, and for f orbitals, ml can be -3, -2, -1, 0, 1, 2, or 3. So, there is 1 orbital here with ml=0.
So, in total, there are 4 orbitals which can be identified with n=4 and ml=0.
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