## Finding quantum numbers [ENDORSED]

Jennifer Torres 2L
Posts: 62
Joined: Tue Nov 14, 2017 3:01 am

### Finding quantum numbers

Can someone explain how to find the quantum numbers? I am unsure how to find the remaining three I already know for n I just have to find the shell number the rest are more confusing.

Meachelle_Lum_1I
Posts: 92
Joined: Fri Sep 28, 2018 12:24 am

### Re: Finding quantum numbers

There's the principle quantum number (shell) which simply goes by n=1, 2, 3... and is the average e- distance from the nucleus.
Then, there's the angular quantum number (subshell) represented by l, which ranges from 0 to (n-1). This determines the e- orbital shape.
l=0 is the s subshell
l=1 is the p subshell
l=2 is the d subshell
l=3 is the f subshell
Third is the magnetic quantum number (orbital) represented by m sub l, which ranges from -l to +l. This determines the orientation of an electron's orbital.
s has 1 orbital
p has 3 orbitals
d has 5 orbitals
f has 7 orbitals
Lastly, there's the spin quantum number represented by m sub s, and is independent of all other quantum numbers. It's either +1/2 or -1/2.
Each orbital contains up to two electrons.
Hope this helps!

Nicklas_Wright_1A
Posts: 60
Joined: Fri Sep 28, 2018 12:23 am

### Re: Finding quantum numbers  [ENDORSED]

Everything said in the previous reply is true except the magnetic quantum number actually has different ranges for each value of the principle quantum number.
n=0 - ml=0
n=1 - ml=-1,0,1
n=2 - ml=-2,-1,0,1,2
n=3 - ml=-3,-2,-1,0,1,2,3