Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 33 Medium Difficulty

List the possible sets of quantum numbers for electrons in the 3$d$ subshell.

Answer

$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=+2, \mathrm{ms}=+1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=+2, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=+1, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=+1, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=0, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=0, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=0-1, \mathrm{ms}=-1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=-1, \mathrm{ms}=+1 / 2$
$\mathrm{n}=3, \mathrm{l}=2, \mathrm{ml}=-2, \mathrm{ms}=-1 / 2$

Discussion

You must be signed in to discuss.
Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

Farnaz M.

Other Schools

Zachary M.

Hope College

Jared E.

University of Winnipeg

Video Transcript

in this exercise have to list all possible Pontell numbers for an electric that is in the three D sub shells. So notice that here and the Brits spoke until number is equal to three. And since the social is D than l, the the orbitofrontal number is able to to Okay. Ah. And now we have to list all possible quantum states here. So for l equals two, remember that the possible values of the magnetic quantum number range from minus l to l. So the possible values are minus two minus one zero one and two. And for each possible magnetic quantum number, we also have that I am asking B minus the speed quota number could be minus 1/2 or plus 1/2. Okay, so let's least every single quantum state. Okay, so first we have any I'm gonna leave n equals three. Ah, and l equals two implicit, because it's gonna appear throughout. Okay, so what I'm gonna do is, but this n equals three. L equals two. Okay. And now I can list all possible quantum numbers. So first have a mess. I'm sort of ml equals minus two and a mess equal to minus 1/2. Then we have ML. It was minus two m s. Bless 1/2 then email equals able to minus one a mess, minus 1/2 a male, minus one mass. Plus, when that half than m l equals zero m s minus 1/2. Then in Malibu zero a mess 1st 1/2 email equals one m s, minus 1/2 M l equals one m s, plus 1/2 and mail equals two a mess, minus 1/2. And finally and now equals two a mass plus 1/2. Let me write this a little better. Plus 1/2. Okay, so there are these 10 possible quantum states, and all of them are listed here.

Universidade de Sao Paulo
Top Physics 103 Educators
Andy C.

University of Michigan - Ann Arbor

Farnaz M.

Other Schools

Zachary M.

Hope College

Jared E.

University of Winnipeg