00:03
Hi there.
00:04
In this question, we want a set of quantum numbers that could describe an electron in a 3d orbital.
00:11
So before we start trying to do this, let's talk about the first three quantum numbers.
00:15
Of course, there are four.
00:16
The first three describe the orbital, and the fourth one describes the spin of the electron.
00:21
And is the principal quantum number, that is the energy level or distance from the nucleus, and it can be any positive integer.
00:33
We know that the energy level closest to the nucleus is given an n equals one label, and then as we move away from the nucleus, the energy level number increases.
00:48
All right, so n has to be any positive integer.
00:51
L is the magnetic quantum number.
00:53
It describes the sub -shell, and l is also an integer.
01:05
However, it ranges from zero to n minus one.
01:10
All right, so if n were 3, for example, l could be 0, 1, or 2, because 3 minus 1 is 2.
01:25
And in fact, when l does equal 0, that describes an s orbital.
01:36
Sorry about that.
01:37
We had a moment of glitch there.
01:41
All right.
01:42
When l equals 1, that describes a p orbital.
01:49
When l equals 2, it's a d orbital.
01:55
And when l equals 3, that describes f orbitals.
02:02
All right.
02:03
And then the third quantum number, the magnetic quantum number, m sub l, describes the orientation in space.
02:10
It also must be an integer, but it ranges from negative l to positive l.
02:24
So if l were 2, m sub l could be negative 2, negative 1, 0, 1, or 2.
02:32
Okay...