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So say you have a problem asking for all of the possible quantum numbers given n=6. We know the limits of l are from 0 to n-1, but realistically, we only know that l=0 corresponds with the s orbital, l=1 with p orbital ect, so would it still be technically correct to put l=5 even though we don't know a real orbital that corresponds with an angular momentum number at l=5?
All values of l up to l=5 are possible and I think should be listed. Although there are no known elements that have their 6f, 6g or 6h orbitals occupied when they are in their ground state, these orbitals could be occupied if the electrons are given enough energy -- the atom would then be in an excited state.
Unless they tell you whether it is an s, p, d, or f orbital, you would just say that there are 5 possible l values and l could be 0, 1, 2, 3, 4, or 5. But unless they give you the letter I don't think there is any way of knowing what l's value is.
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