00:02
Hi there.
00:03
To answer this question, let's talk about quantum numbers first and the possible values for those.
00:08
So the first quantum number, the principal quantum number n, that of course tells us the energy level.
00:18
And it can be any positive integer.
00:25
The lower the integer, the closer the energy level is to the nucleus.
00:30
All right, the next quantum number l, the angular momentum quantum number, tells us the subshell.
00:38
An l is an integer ranging from 0 to n minus 1.
00:52
In other words, if n were 2, l could be 0 or 1, because 2 minus 1 is 1.
00:59
Furthermore, when l equals 0, it's an s orbital.
01:03
When l equals 1, that describes the p orbitals.
01:06
When l equals 2, it's the d orbitals.
01:09
And when l equals 3, that would be the f orbitals.
01:12
The third quantum number, this is the last quantum number that actually describes the orbital, that's the magnetic quantum number.
01:22
It also must be an integer.
01:24
It's going to describe the orbital's orientation in space, and it ranges from, so its values can be anything between negative l to positive l.
01:41
So if l were 2, ms of l could be negative 2, negative 1, 0, or 2.
01:47
The fourth and final quantum number is the spin quantum number.
01:52
And we don't see that in this question, but that refers to the electrons themselves.
01:57
And whether they have a positive spin, in which case the value is positive one -half, or a negative spin, in which case the value is negative one -half.
02:06
Okay, so let's analyze what we have here for our first one.
02:10
So i'm just going to do this as a little table.
02:19
For the first one, we have n equals one, l -equals one.
02:22
M sub l equals 0.
02:24
Well, if n is 1 and l ranges from 0 to n minus 1, l could only be 0.
02:32
So we have an issue with l here.
02:34
It cannot be 1.
02:36
So this set is not allowed.
02:42
All right...