## n, l, m

Labiba Sardar 2A
Posts: 103
Joined: Sat Jul 20, 2019 12:15 am

### n, l, m

Can someone please explain the differences between n, l, and m conceptually?

Labiba Sardar 2A
Posts: 103
Joined: Sat Jul 20, 2019 12:15 am

### Re: n, l, m

Also, how do you translate it to each other (like finding how many subshells are in a given n or how many orbitals are in subshells with l equal to a certain number)?

Maya Gollamudi 1G
Posts: 100
Joined: Thu Jul 25, 2019 12:15 am

### Re: n, l, m

"n" is the principal quantum number, which defines the size and energy of the orbital. "l" indicates the orbital's shape (s, p, d, or f) or its angular momentum (how 'fast' the electron moves around the nucleus). "m" tells us the electron's orientation in the orbital.

When n has a given value, l can have any value from 0 to n-1 and m can have the values l, l-1, ... -l.

dtolentino1E
Posts: 101
Joined: Thu Jul 11, 2019 12:17 am

### Re: n, l, m

n, l, and m are all quantum numbers

n = principle quantum number
- it measures energy and size of an orbital, also called the "shell"
- it has values of integers (0,1,2,3,4...)

l = angular momentum quantum number
- it measures shape of an orbital, called "subshell"
- it has values of (0,1,2,...n-1)

m = magnetic quantum number
- it measures orientation of an orbital; different orbitals of a subshell
- it has values of (l, l-1, l-2,... -l)

Sydney Pell 2E
Posts: 100
Joined: Wed Sep 11, 2019 12:17 am

### Re: n, l, m

n is the principal quantum number, which describes the electron's energy and size (which shell it's in). l is the Angular Momentum Quantum number, which describes the shape of the orbital of the electron. In this class, we will likely only see l = 0 (s-orbital), 1 (p-orbital), 2 (d-orbital), or 3 (f-orbital). l is also called the subshell and is dependent on n. m is the magnetic quantum number. This labels different orbitals of a subshell. In other words, it is the electron's orientation.