Question

# Which of the following set of quantum numbers (ordered n , ℓ , mℓ , ms...

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

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