00:01
Okay, so in this problem, we want to get the quantum numbers for the 12 electrons in the ground state of the magnesium atom.
00:07
And so we want the nl, ml, and s.
00:12
So i'll kind of make a chart.
00:22
Nlml and s.
00:24
And so let's do a list, two, three, four, five.
00:31
Oh, i think this actually has a grid function.
00:34
To put this in.
00:37
That almost helps.
00:42
I'm going to erase all these numbers and try to maybe line them up with a grid.
00:49
Shouldn't get too confusing.
00:51
So let's let this block.
00:56
This one can be one, two, three, four, who i'm having trouble seeing that.
01:16
Five, six, seven, seven, eight, nine, ten, and then, oh, wow, so painful.
01:29
I ran out of room.
01:30
I can't write any more numbers.
01:32
So i guess i'll write the next set of numbers.
01:35
Oops.
01:39
To the side.
01:42
Okay, so the first electron is going to have, you could have s unequal, 1, l equals zero, and ml, has to be zero and the quantum number for s can be one half and then the second electron can have all the same but with this equal to minus one half so i'll just kind of do this for meaning the same and then now we can move on to n equals two okay these numbers are not even going to align so forget that okay for two we can still have l equals 0, ml equals 0, and then we can have 1 half, and then minus one half, same, same, same.
02:43
And then for two, we can also have l equal 1ml.
02:48
Let's just have that.
02:49
I guess let's start low.
02:52
One half, minus 1 half, 0, 1, 2.
02:59
Oh, i guess i could have done the same, whatever.
03:04
So two, that's going to drive me crazy.
03:09
So let's do that.
03:17
So then i'll put these little ditto symbols.
03:25
Okay, and then we can have l equal to one again, but this time we're going to have ml equal to one.
03:33
You can still have one half.
03:36
And then we can also have minus one half.
03:45
And then ml is, yeah, going to be the same, same.
03:51
I guess i could have done dittoes here too.
03:53
Might as well do that.
03:54
Maybe it'll look really nice or something if i'm careful with my dittoes...