![]() ![]() So the energy is going to beĮqual to Planck's constant times the frequency, well we know theįrequency right over here. This and plug it back into Planck's equation up here, that energy is equal to Planck's constant times the frequency toįigure out the energy. Wavelength of the light here, 486 nanometers, or at least So if we divide both sides by Lambda, we get that the frequency of the light is going to be equal to the speed of light divided by the wavelength of the light. And so if we know the wavelength, we can figure out the frequency by dividing both sides by Lambda. So we know that see the speed of light is equal to the wavelength of the light times the frequency of that light. We can first figure out its frequency using C is equal to Lambda times new. The energy of one photon, of 486 nanometer light? Well, we could think about it this way. Wavelength of that light is times the frequency of that light. ![]() And we also know how to goīetween frequency and wavelength, because we see that the speed of light is equal to whatever the Talking about frequencies of things like light. Typically use for frequency, especially when we're So this thing that looks like a V this is actually the Greek letter, the lowercase Greek letter Nu, and this is what we Look at it right over here is that the energy isĮqual to Planck's constant times the frequency. To figure out the energy of that photon, we just have to thinkĪbout some useful formulas in quantum mechanics. Of the photon that we emit when we go from the fourth energy shell from the fourth shell to the second shell. And the energy differenceīetween the shells is essentially the energy Is the energy difference between these shells. And we can actually answer based on this, we can think about what The fourth or the third or the second or the first, there's no such thing asĪ three and a half shell. You're emitting the energy, the electrons is not gonna goįrom the fourth energy level to someplace in between Need a certain amount of energy in order to be able to excite the electron to the next energy level or When we talk about quantum mechanics, is this notion that photons So just like that, we already are starting to understand that photons of the right energy can excite an electron by a So why is that does that it will emit a photon of 486 nanometers. And when it does it, it will emit a photon Go back from the fourth shell to the second shell. That electron right over here, that excited electron, it can It can come back down and when it comes back down, Two from the second shell to the fourth shell. This electron in this case, actually from N equals And we know that that photon that hits it with a wavelength of 486 nanometers has sufficient energy to excite When we think of it as a particle, we think of it as a photon, but I will depict it like this. And we know that light has both particle and wave like properties. And what we're going toĭo is we're gonna hit it with a photon that excites it even more. So instead of it being in the first shell, it's already in the second With a hydrogen atom where the electron has alreadyīeen excited a little bit. ![]() If we're thinking about justĪ neutral hydrogen atom, where the electrons in its ground state. And these energy levels are associated with different probabilityĭensities of various energies. Probability density function of where you might find them. They have both particleĪnd wave like properties, and they're more of a We know that electrons don't orbit nuclei the way planets orbit stars. And this is obviously hand drawn and not hand drawn that well, and this is really just to help us for visualization purposes. It could be excited to the second shell or the third shell or the fourth shell. So it's going to be in that first shell but it can be excited to other shells. Or will have one electron if it's a neutral hydrogen atom and it would normallyīe in its ground state, if it isn't excited yet. The version of a hydrogen that we typically see the isotope that only has one proton in its nucleus. Hydrogen is the simplest I know, and we're gonna think about And to help us understand this, I'll start with a simple atom. Or we're going to think about what happens when they get unexcited, when they go back into We can interpret that both ways that electrons can be exciting and that we're going to excite them into higher energy levels. In this video, we're going to be talkingĪbout exciting electrons. ![]()
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