Question

Which of the following set of quantum numbers (ordered n , ℓ , mℓ , ms ) are possible for an electron in an atom?

Check all that apply.

Check all that apply.

	4, 3, 4, -1/2
	3, 2, 0, -2
	4, 3, -2, 1/2
	2, 2, 2, 1/2
	4, 3, -4, -1/2
	4, 2, -1, -1/2
	5, 2, 1, -1/2
	-1, 0, 0, -1/2

Answer 1

Given set of quantum numbers : n , l, ml and ms

We have to show the following set of quantum numbers which are valid.

I	4, 3, 4, -1/2
II	3, 2, 0, -2
II	4, 3, -2, 1/2
IV	2, 2, 2, 1/2
V	4, 3, -4, -1/2
VI	4, 2, -1, -1/2
VII	5, 2, 1, -1/2
VIII	-1, 0, 0, -1/2

Explanation:

n : Principle quantum numbers, value ; 1, 2,3,…

l : Azimuthal quantum number , value : 0, 1, 2, …(n-1)

ml : Magnetic quantum number , value : -l, 0, +l

ms : Spin quantum number , value : +/- ½

By using this information we can check for all given sets.

Set II has -2 as a ms so its not valid state.

Set IV has value of n and l same so its not valid

Set VIII has value of n in minus so its also not valid.

Set V and I has ml value less than value of l so its also not valid.

So the correct set are :

III , VI, and VII