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

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

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

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

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

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

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

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

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

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

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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.

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