1D. 21

[Kaitlin Joya 1I]

Write the subshell notation (3d, for instance) and the number of orbitals having the following quantum numbers: a) n=5, l=2; b) n=1,l=0; c) n=6, l=3; d) n=2, l=1.

How do I find the number of orbitals for these? For a and b, I thought it was 5 orbitals and 1 orbitals because of n, but the same doesn't follow for c and d.

[Mia Hansen 2I]

Hi! The number of orbitals is related to the quantum number l, not n. s has 1 orbital, p has 3 orbitals, d has five orbitals, and f has seven orbitals.

[Elena Chan 2L]

Hi!
As Mia said, the value of orbitals is calculated using the angular momentum quantum number, l, which is l=0 for s-orbital, l=1 for p-orbital, l=2 for d-orbital, and l=3 for f-orbital. So for A, l=2 which means it's the d-orbital or 5 orbitals; it is not related to the fact that the principle quantum number, n, is 5. This means A would be for the 5d quantum number. B, in turn, is 1 orbital for the s-orbital, C is 7 orbitals for the f-orbital, D is 3 orbitals for the p-orbital. Hope this helps!