## Quantum Numbers n, l, and m

Sydney Wu 2M
Posts: 50
Joined: Fri Jul 22, 2016 3:00 am

### Quantum Numbers n, l, and m

I am very confused on the concept on n, l, and ml...

1) Can the relationship between n, l, and m be described as shell, sub-shell, and orbital within a sub-shell, respectively?
2) Does the l-value tell you the highest possible sub-shell of that particular energy level? (i.e. n=3; l=0, 1, & 2 --> level 3 has 3 sub-shells s, p, & d)
3) What exactly is ml? (i.e. Q 2.17; how can you calculate the number of orbitals? If l=2, ml=2-1=1, so doesn't that mean there's is only 1 orbital?)

cara_Budzinski_3D
Posts: 22
Joined: Sat Jul 09, 2016 3:00 am

### Re: Quantum Numbers n, l, and m

1) yes; if you look in the course reader, that is exactly how they are labelled
2) if i understand your question, then yes; l assigns a value (referred to as subshell) to each orbital (s, p, d, or f) and the highest l value, say l=4, will contain not only the f-orbital but also all orbitals below it as well
3) m(sub l) labels the different orbitals of a subshell, such as p(sub x), p(sub y), & p(sub z); it also represents the spin on the electron which is easier to see when you draw out the electron configuration with the up & down arrows

Chem_Mod
Posts: 18910
Joined: Thu Aug 04, 2011 1:53 pm
Has upvoted: 737 times