The fucky thing is, hydrogen atoms are simple. Literally every other atom and molecule is just estimated based off of hydrogen because of how much harder it is to calculate.
Hydrogen Atoms
Submitted 4 weeks ago by fossilesque@mander.xyz to science_memes@mander.xyz
https://mander.xyz/pictrs/image/f1db9433-77bb-4f34-bed0-551fbf812164.jpeg
Comments
Friendlybirdseggs@sopuli.xyz 4 weeks ago
How big would the body need to be for it to have a 99.9% chance for the electrons to be there?
CannonFodder@lemmy.world 4 weeks ago
Just integrate phi squared over the sphere space, and with that set to .999, solve for r. Use something like Maple if the algebra if you’re a wimp.
Gust@piefed.social 4 weeks ago
Assuming the probability distribution is gaussian, I’d guess something like 3.5 to 4 times as large. I dont remember if that specific probability density function is gaussian or not, but assuming a distribution is gaussian is usually a safe bet
sga@piefed.social 4 weeks ago
it is not gaussian. for first electron, it is closer to poissonian
rebelsimile@sh.itjust.works 4 weeks ago
it’s a good thing they simplified the equation by defining ρ separately.