 Okay, so let's do this problem, find the delta value in the observed shift from TMS, so tetramethylsilane, in hertz of a signal in a 100 MHz instrument that is 162 Hz from TMS in a 60 MHz instrument, okay? So what we're going to figure out from this particular problem is that the delta value for the proton in both the 60 MHz and in the 100 MHz NMR is going to be the exact same PPM value, okay? So the way you need to do this, the first thing you need to do is remember the equation for figuring out PPM, so it's going to be delta equals the frequency of the hydrogen minus the frequency of TMS divided by the frequency of the spectrometer NMR, okay? So here we can times 10 to the 6 PPM, okay? So these all have to be in the same frequency unit, so if this is in megahertz and these are in hertz, we're going to have to convert them, okay? So remember how to do that, but let's figure out what the delta value is first, okay? So we've got the equation for it, so the proton shift it tells us is 162 Hz, right? So 162 Hz, and remember TMS, right, is always 0 Hz, right? So divided by, so the frequency of the NMR is 60 MHz or 60 times 10 to the 6 Hz, like that, is that okay? Yes. We need to just do megahertz that way, and then we're just going to say times 10 to the 6 PPM, and hopefully you see the 10 to the 6 is getting cancelled out of there, okay? So let's reduce this, so it's going to be 162 Hz divided by 60.0 times 10 to the 6 Hz times 10 to the 6 PPM, let's get our calculator down, 162 divided by 60, right? And to do it to 3 6 bigs, it's going to be 2.70, right, but Hz has been cancelled out, right? So that was also going to be cancelled out, so we get PPM, okay? So that's how we figure out, well, what's the delta value here? Now it wants us to know, well, what's the number of hertz that the proton has shifted if we have it on a 100 MHz NMR, okay? So remember the delta value doesn't change, okay? So we have that up here now, okay? So let's write that in 2.70 PPM, okay, and it also said that our NMR no longer is a 60 MHz NMR, but a 100 MHz NMR. Now what are we looking for is the value of the proton, okay? Remember, we know the frequency of TMS is zero hertz, okay, because that's our standard, right? Yes. Okay, so let's just go, I'm going to erase everything except for this so we can keep that in our heads to, you know, kind of rearrange the equation, so when we do this, what are we looking for? VH, right, and we know this is zero, so we don't have to include that, okay? So VH is going to be delta times the frequency of the NMR, or spec, and then, like I said, we're not worried about the TMS, so we're just going to divide all that by 10 to the 6 PPM, okay? Remember, the delta value carries in PPM, right, and we're going to leave this in hertz or convert it to hertz, okay? So then that's going to give us hertz for this here, okay? So are you okay doing that, re-arranging, right? Okay, so let's, now it's just essentially a plug-and-check, right, so 270, or 2.7, sorry, 2.7 PPM times 100.0 times 10 to the 6 hertz, is it okay that I do that for megahertz, okay? And then we divide all that by 10 to the 6 PPM, okay? Notice PPM cancels there, cancels there, 10 to the 6 cancels there, cancels there, right? So what do we get? 2.70 times 100, right? So what would you expect it to be, I don't even need to calculate it. 2.70 hertz, okay? So that's where the same proton you would find that initially was at, what was it, one 62 hertz, right, on a 60 megahertz, what you'll find is it's at 270 hertz on a 100, but the delta value for both of them is 2.7 PPM, yeah, the same. Any questions, Anderson? No questions. Okay, wonderful.