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### Quantum Numbers Question

Posted: Tue Nov 05, 2019 9:54 pm
Q: What is the maximum number of electrons that can occupy the orbitals with principle quantum number = 4?

A: 32

### Re: Quantum Numbers Question

Posted: Tue Nov 05, 2019 10:15 pm
Okay so if n=4:
l=0, 1, 2, 3

For l=0:
ml = 0

For l=1:
ml = -1, 0, 1

For l=2:
ml = -2, -1, 0, 1, 2

For l=3:
ml = -3, -2, -1, 0, 1, 2, 3

For each orbital there can be two electrons (one with spin up (ms = +1/2) and one with spin down (ms = -1/2)).

If we add up all the orbitals, there are 16. Since there can be up to two electrons per orbital, that equals 32 total possible electrons when n=4.

### Re: Quantum Numbers Question

Posted: Tue Nov 05, 2019 10:17 pm
The number of electrons that can occupy a given energy shell is given by the equation eā=2n^2. n represents the principal quantum number that describes the energy shell. We have n=4 which means that the number of eā is 2ā4^2=32.

### Re: Quantum Numbers Question

Posted: Sun Dec 08, 2019 9:20 am
Does anyone have a video they thinnk is a good reference for this topic?

### Re: Quantum Numbers Question

Posted: Fri Oct 16, 2020 4:01 pm
Mai V 4L wrote:Does anyone have a video they thinnk is a good reference for this topic?

Hey Mai! I was actually recommended this by my high school chemistry teacher but I think anyone should appreciate our Chemistry Jesus: [https://youtu.be/Aoi4j8es4gQ]. Feel free to check it out!