00:01
For this question, we're told that we have an electron in the 4f subshell, and we're asked to list the n, l, m sub l, and m sub s states that are available for this electron.
00:10
So right away, just based on the fact that we're in the 4f sub shell, we can determine two principal quantum numbers.
00:17
The first one is the number in, which can be any positive integer, and it indicates the energy of the electron in the atom.
00:25
The first value in the 4f subshell, it gives us the value of n.
00:29
So directly from this, we know that n is equal to 4.
00:34
The letter next to it gives us our next value that we're asked to find.
00:39
That is the l principal quantum number, which represents the orbital angular momentum of the electron.
00:45
So since we're in the f substate, this means that we have a value of l equal to three.
00:52
So s is zero, p is one, d is two, f is three.
00:56
So right away, we know these two values just based on the information we were given.
01:00
So l is equal to 3.
01:03
The next thing we need to figure out is the value of m .sabell.
01:08
Well, msabl is an integer value.
01:10
It represents the magnetic, the electron's orbital quantum number along the outer magnetic field.
01:19
And it's equal to zero, plus or minus 1, plus or minus 2, all the way up to plus or minus l.
01:24
So our value is l is equal to 3...