then what do we do about our 2p and so we have a couple of different kinds of 2p orbitals and we can kind of think about them as the p orbitals that are along the bond themselves we already know from valence bond theory that we can form some sort of bonding interactions and we're gonna define this you know as one of the directions of the pe orbitals so what does this look like in molecular orbital theory so we can start off with one of the two p's that we have on each one of the sides and i'm just going to pick this one and remember they're all degenerate with each other and we're going to think about what happens if if we look at the signs of them so remember on each side of the p orbital one side has positive wave character the other side has negative wave character what happens if we combine that over here with something that has negative wave character over here and we have positive wave character uh on there so if we do that we end up getting this kind of interaction remember the center of the atom is in there on the two sides we're going to just bring them closer together and then if we have both sides as the same wave character we get some sort of constructive interference so we end up getting something that looks like this over here you get lots of electron density along the bond itself and then the other side so remember these are just opposite wave characters of each other it was just arbitrary that i chose the center to be negative so we're going to call this uh once again we have lots of electron density in the center here so with this is definitely a sigma bond based on our definition so this is going to be our sigma bond from the 2p orbital and as a reminder this is just a sim very similar to what we get down here in terms of the s orbital we get a sigma bond with lots of electron density over here and in here we get no electron density so that's our anti bonding so these are our sigma 2s down here now we have a sigma 2p so we can draw our correlation line uh to that and then it was arbitrary that i chose that this one was positive and negative so we could have actually had another case uh in here where we have a positive interaction wave character positive wave character over here and negative wave character over there so if we try to just to cover um combine this side with this side we have opposite wave characters so we should get cancellation of our electron density so that's going to create an anti-bonding orbital just like what we saw in the s orbitals except the shape is going to be drawn differently so we know that this is in higher energy level what we ended up doing over there is we took this uh orbital we have minus wave character over here plus wave character and we brought the other atom close there this side has positive wave character this side the p orbital has negative wave character and so we end up getting a cancellation of our orbitals so our cancellation of our orbitals will actually leave lots of wave character on this side lots of wave character on this side and then we get a whole bunch of cancellation of wave character so we end up having an anti-bonding interaction so we are going to call this one sigma star and we're going to indicate that it came from the 2p just to differentiate between the uh the sigma star the 2s so if you were to typically use a another picture just what this kind of looks like you know this is what this actually looks like over here uh drawn a little bit more nicely uh on there but it's exactly the same thing that we saw um with our hand sketch orbital and this is our anti-bonding 2s 2p orbital and then we get this kind of a picture for this so we can have these nice little pictures just to give you an idea of what's happening in the anti-bonding sigma 2p and also the bonding uh sigma 2p and we can draw in the correlation lines for each one of the sides that comes from those 2p orbitals