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QUESTION

What is l, ml, and ms I'd n=4?

l = 0, 1, 2, 3. m_l = -3, -2, -1, 0, 1, 2, 3 m_s = +1/2 or -1/2

I assume that you're talking about the .

So, if you're not familiar with the concepts behind quantum numbers, I'd recommend you take a look at this video first. If you're good, let's go...

So to quickly recap here's what each quantum number describes:

n = energy level. l = subshell; ranges from 0 up to n-1 m_l = orbital; ranges from -l to l m_s = tells the spin of the electron; is either +1/2 or -1/2

Now, your question asks what are the possible values for l, m_l, and m_s for n = 4. So, let's just work through this from top to bottom.

Firstly, if n=4, let's consider what l could be. We know that l ranges between 0 to n-1. Therefore, we can say that:

l = 0, 1, 2, 3.

Side note: this essentially means that the n=4 energy level can hold electrons in the s, p, d and f subshells

Okay, so now that we know all possible values of l, let's look at m_l. We know that m_l ranges between -l and l. But which of the above l's do we use? Well, consider this: if we just looked at the highest value of l present, it would take care of all the lower ones. See what I mean below:

m_l = -3, -2, -1, 0, 1, 2, 3

See how values like -2 and 1 are taken care of?

So, that's really it. m_s will only be either +1/2 or -1/2 regardless of the other 3 quantum numbers.

Hope that helped :)