00:02
There, in this question we have a 4d orbital and we want to know the values of n, l, and m sub l that could correspond to an electron in this orbital.
00:17
All right so to answer this we need to know what these three, what values these three quantum numbers can have.
00:24
So for n that is the principal quantum number that tells us the energy level.
00:30
The energy level is of course the distance from the nucleus and n can be any positive integer.
00:37
We know that the first energy level, in other words n equals one, is closest to the nucleus and then as we move away from the nucleus each successive energy level increases by one.
00:49
So any positive integer.
00:52
Next the angular momentum quantum number gives us the shape of the subshell or describes the subshell and it must be an integer and it ranges from zero to n minus one.
01:20
So if n were three, l could be zero, one, or two for example.
01:25
Furthermore when l equals zero that describes an s orbital.
01:30
When l equals one it's a p orbital.
01:32
When l equals two it's a d and when l equals three it's an f orbital.
01:39
Right finally i want to look at the magnetic quantum number m sub l.
01:44
That also must be an integer and it ranges from negative l to positive l.
02:00
So if l were two, m sub l could be negative two, negative one, zero, one, or two.
02:07
There is one more quantum number that's the spin quantum number that just describes the electron itself as having either a positive spin in which case it's a positive one -half or a negative spin which would be a negative one -half...