0:00
Aloha.
00:01
So for this problem, we're told that there's a hydrogen atom in the d state.
00:06
And this is, we're told that this is spectroscopic notation.
00:11
So the d state means that you can then know that l is 2.
00:19
So that's the orbital quantum number.
00:24
And the z component of that ml can be anywhere from my, minus 2 to 2.
00:36
So it ranges from minus l to l and integers.
00:40
And since l is 2, we know that the principal quantum number n is 3.
00:46
So this is all what we know just about this state of this hydrogen atom.
00:52
We're told that it's in a d state.
00:54
And we want to find the splitting level in electron volts for the different, between the different energy levels, depending on the ml value, given that there's an external magnetic field.
01:10
And we're told that be external is 0 .8 tesla's.
01:17
And to find this splitting between the energy levels, we'll use an equation for the potential energy that depends on the magnetic dipole moment interaction with the magnetic field, which we can write in terms of a constant, the bore magneton times the ml values.
02:04
And this b here is b external.
02:07
And then the splitting between each level, which we'll call delta e is really the potential energy associated with each level...