Quantum Numbers Question

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Bita Ghanei 1F
Posts: 60
Joined: Thu Feb 28, 2019 12:15 am

Quantum Numbers Question

Postby Bita Ghanei 1F » 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

Can someone please explain why the answer is 32? Thanks!

Sebastian Lee 1L
Posts: 157
Joined: Fri Aug 09, 2019 12:15 am
Been upvoted: 1 time

Re: Quantum Numbers Question

Postby Sebastian Lee 1L » 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.

Lauren Tindall
Posts: 15
Joined: Sat Aug 24, 2019 12:17 am

Re: Quantum Numbers Question

Postby Lauren Tindall » Tue Nov 05, 2019 10:17 pm

The number of electrons that can occupy a given energy shell is given by the equation e−=2n^2. n represents the principal quantum number that describes the energy shell. We have n=4 which means that the number of e− is 2⋅4^2=32.

Mai V 4L
Posts: 111
Joined: Fri Sep 28, 2018 12:23 am

Re: Quantum Numbers Question

Postby Mai V 4L » Sun Dec 08, 2019 9:20 am

Does anyone have a video they thinnk is a good reference for this topic?

Melanie Lin 3B
Posts: 40
Joined: Wed Sep 30, 2020 9:38 pm

Re: Quantum Numbers Question

Postby Melanie Lin 3B » 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!


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