There's one more type of proton relationship that we should be aware of and that's called E and Z diastereoisomerism. Big word. So how does that work? Well, this exists when your q test is used on a terminal double bond and it yields what we call a new trigonal center. Now, this is a term we haven't been over in a long time, but if you guys recall, a trigonal center is basically like a cis and trans isomer. A trigonal center would be like the relationship between a cis double bond versus a trans double bond. That's what we'd call a trigonal center. Notice if I use the q test on a terminal double bond, let's say I scratch out this H, replace it with a q, notice that what I just did by putting the q at the bottom cis version. Cis or if you're using E and Z notation, that would be Z. Cis slash Z. But who says I have to put it at the bottom? What if I had put the Q at the top? Well, if I had put the Q at the top, then that would be trans. That means that the fact that I can make 2 different isomers depending on where I put the q means that this E-Z relationship is possible. These protons are always going to be diastereotopic. We don't have to look for prior chiral centers, anything like that. Anytime you can make an E or Z or cis and trans relationship with the q test, it's always diastereotopic. Based on what you learned about diastereotopic before, do you think that these hydrogens will share a peak, share a signal, or do you think they'll get different signals? It says it right there. They're going to be non-equivalent and they're going to get different signals.
Now, I know that I've gone a lot through the rules of how to figure this out, but I just want to explain this really quickly intuitively because you might be struggling to think, well, why would they be non-equivalent? Well, think about it like this. Let's say you've got this double bond. Right? And we draw one of my H's there and we draw one of my H's there. That's basically the same exact sample that we have at the top. I just told you that because there's an E-Z relationship between these H's, they get their own peak. But how does that make sense in terms of shielding? Remember, in terms of putting on the wool coat, how does that make sense? Well, notice that this H is always going to be closer to that ethyl group because it's cis to it. This H is always going to be further from that ethyl group because it's trans to it. That means that the red H and the green H will be shielded slightly differently. One of them is going to be a little more bundled up and one of them is going to be a little less bundled up because of how far they are away or how close they are to this group over here. That means that they're going to have to each get their own peak. They're each going to have to get their own signal. In this example specifically, this would be Ha and this would be Hb. They would each get their own signal because of their unique position on the molecule.
That said, we have a few more practice problems. Go ahead and try to figure out if you think that these two hydrogens on the end of that double bond deserve to have the same signal or different, and then tell me the total number of signals you would get. Alright. So check it out.