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.
This
it’s a good thing they simplified the equation by defining ρ separately.
How big would the body need to be for it to have a 99.9% chance for the electrons to be there?
Assuming the probability distribution falls off like a 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 falls off like a gaussian is usually a safe bet
it is not gaussian. for first electron, it is closer to poissonian
Just integrate phi squared over the sphere space, and with that set to .999, solve for r. Use something like Maple for the algebra if you’re a wimp.





