00:01
Understanding electron wavelength and velocity is very important when you're getting into many aspects of chemistry, physics, material science.
00:10
You need to understand how this electron is behaving when you're doing, say, electron spectroscopy or other forms of characterization.
00:18
So in order to understand this relationship, we're going to rely on the debrogly wavelength equation.
00:24
Here we can see that the wavelength itself is represented with lambda while planck's constant is marked as an h, the mass of an electron as an m, and v represents the velocity.
00:39
So say we know the velocity, we know the wavelength and we need to find the velocity.
00:48
We're going to rearrange this equation by solving for v and say that, we're given a scenario where say the wavelength is about 100 nanometers where one nanometer is equal to 10 to the 9th negative 9 meters so how fast is the the electron traveling when there's a wavelength of 100 nanometers so we're going to input see we're going to solve for this case get a new pen planck's constant, that is 6 .626 times 10 to negative 34, and we measure this in joules per hertz.
01:48
Now we're going to input the mass of an electron.
01:50
Mass of an electron quite small is 9 .109 times 10 to the negative 31 kilograms...