The first energy level, and there's an energy of negative 13.6 electron volts associated with that electron. R one away from the nucleus, we're talking about So this is when N is equal to one, the electron is at a distance Perfectly to scale, but this is just to give youĪn idea about what's happening.

And so if we go over here on the right, and we say this top line here represents energy is equal to zero, then this would be negativeġ3.6 electron volts. With that electron as it orbits the nucleus. When N is equal to one, that was negative 13.6 electron volts, that's the energy associated So R one is when N is equal to one, and we just calculated that energy. Is orbiting at R one, so that's this first radius right here. So the positively charged nucleus attracts the negatively charged electron. So I'm gonna draw an electron here, so again, not drawn to scale, orbiting the nucleus. But if we assume that we haveĪ positively charged nucleus, which I just marked in red here, so there's our positively charged nucleus. Radii for the Bohr model, so this isn't drawn perfectly to scale. And so, over here on the left, alright, just to remind you, I already showed you how to get these different Alright, let's talk about the Bohr model of the hydrogen atom really fast. That's closest to zero, so E three is the highest energy level out of the three that And also note that yourĮnergies are negative, and so this turns out toīe the highest energy, because this is the one Using the Bohr models, you can't have a value of energy E two is equal to negative 3.4, and E three is equal to The energy for the first energy level is equal to negative 13.6. Now N is equal to three, so this would be three squared, and this gives you negativeġ.51 electron volts. So the energy for the third energy level is equal to negative 13.6, So this would be two squared, and when you do that math you get negative 3.4 electron volts. Just be negative 13.6, and now N is equal to two, Let's calculate the energyįor the second energy level, so E two, this would One squared, alright? Which is of course just one, and so this is negativeġ3.6 electron volts, so we already knew that one. Where N is equal to one, so whatever number you have here, you're gonna plug in here. So the energy for theįirst energy level, right, we already know what it is,īut let's go ahead and do it so you can see how to use this equation, is equal to negative 13.6 divided by, so we're saying the energy Squared, where N is an integer, so one, two, three, and so on. Negative 13.6 electron volts, and we divide that by N Into my equation here, and so I can just rewrite it, so this means the energyĪt any energy level N is equal to E one, which is The energy associated with an electron, the lowestĮnergy level in hydrogen. And so if you do that math, you get negative 13.6 electron volts. And so, if I multiply these two together, the joules would cancel and give me electron volts as my units.

So if I take negative 2.17 times 10 to the negative 18 joules, I know that for every oneĮlectron volts, right, one electron volt is equal to 1.6 times 10 to the negative 19 joules, and so I have a conversion factor here. So one electron volt is equal to 1.6 times 10 to the negative 19 joules. That into electron volts, it just makes the numbersĮasier to work with.

Value for that energy to be equal to negative 2.17 times 10 to the negative 18 joules. The energy associated with an electron, and the lowest energy level of hydrogen. Not necessary to watch the previous video, you can just start with this video if you want. So in that last video, I showed you how to get this equation using a lot of Physics, and so it's actually