Quantum numbers can tell us about both the energy and location of electrons in an atom. There are different quantum numbers describing different properties. When we look at the quantum number and this tells us the energy level, the quantum number l describes the shape of the probability of finding an electron or the shape of sub level, leading to the orbital when n equals three R l values range from zero to the number before three, so there are a total of three values, or 012 This is true for all energy levels. They have the same number of sub levels, or else starting at zero, she rising up. Each sub level corresponds to a different type of orbital. We see here that if l equals zero, it's an S. L equals one p two. It's a D. And if l equals three, it's an F orbital. Quantum numbers can be used to describe specific orbital's. So if we're describing a four d orbital, we know that the value of N is equal to the energy level, which is the number So Ennis four l corresponds to the letter D l equals two is D and there are several possible values for m subscript l the strangers from the negative l value to the positive l value. So any of those air possible, um, quantum numbers for the four d orbital? Yeah, when are given pictures of each of the orbital's three correspond capacity specific letters and held values. So, for example, when we see this diagram here, this is a P orbital P Orbital's have a quantum member of l equals one. This is a D orbital of l equals two, and we can talk about the planner nodes. A planner node is if you could draw planes straight through where would it not touch any electron density? So we see there's one plainer node for the P orbital for the D orbital. There are two. We could slice it this direction, or we could slice it this direction if we're to talk about something with three plainer nodes, though, even though we don't have a picture of it, the next option is our chat orbital. Because the L value is equal to the number of planner nodes. Looking at our quantum numbers, we can see that there some orbital designations that cannot exist according to modern quantum theory to s indicates the second energy level with an L equals zero. So that exists. Three p similarly hasn't n equals three hell equals one, which is a possibility. So that also exists if we consider to D This has an energy level of to in an l value for D of two. We see that that is not possible because my l values range from 0 to 1 for two, so this one does not exist. Similarly, if we consider three f and equals three l for the F values should equal three. We see that that's not a possibility, because the L ranges from 0 to 2. So this is not a possible orbital combination. Five p and equals five l equals one and the range of l's for the energy level 501 to three or four. So this is a possibility. And finally, if we consider six p, we can see that this is also a possibility because N equals six and l equals one on my possible l values range from 1 to 5. So this is also a possibility. We can also see that there are only certain quantum numbers that can happen. Forgiven energy levels if we have an equals three l equals two ml equals one. And there's 1/4 quantum number called M s, which is this spin is a negative 1/2 M s could have two values. It's either a spin up positive 1/2 or a negative 1/2 so we can see that this is a possibility and close three l equals two m l equals one and m s his negative 1/2. So that's a possible set of quantum members. If we consider n equals two l equals one m l equals to M s People's plus 1/2 anythings to l equals one. But my ml values can Onley range from your negative one to positive one. So this does not exist. Okay, and for and equals four l equals three m l equals zero m s h equals zero. We see that it's possible to have a four and a three and a zero, but we can't have an M s values zero. So that's not a possible combination of quantum numbers. And finally, we can predict how maney orbital's are present in each associated with each different quantum number if we know that n equals two and l equals one. That means we're talking about the two p and there are three possible orbital's or three possible smells. The Milken range from zero negative one to positive one. So there are three orbital's with those quantum numbers for n equals three tell can equal 01 to And for each of those quantum numbers we see that we can have zero for my m l a negative 10 or one for my l equals one and negative two, ranging two to for l equals two for a total of nine possible orbital's. If anything was three and l equals three. We see this is not a possibility, because l can Onley range to help to two. So there are no orbital's and finally, of n equals two l equals one an m l equals zero. We see that this is a specific orbital in the second energy level and there is only one for Biddle