I Width of one electron shell of a hydrogen atom

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The discussion centers on the width of one electron shell of a hydrogen atom for a game simulation. The user seeks a scale for their 2D simulation, which is designed to calculate particle interactions efficiently. It is clarified that orbitals represent probability distributions, making it difficult to define a specific size for electron shells. The Bohr radius is mentioned as a relevant measure, suggesting that the width of the 1s orbital can be used to approximate the size of the hydrogen atom. The conversation emphasizes the complexities of quantum mechanics in relation to game development.
devan
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I'm quite new to quantum mechanics. I have a question, I'm coding a small game with my friends and I do understand the orbitals and I've even written a function in java to simulate the probabilities of ONE of those diagrams, but I do not know my scale just yet, can anyone tell me the width of one electron shell of a hydrogen atom. The sim is in 2 dimensions for now, at least until I get around to making it 3d :(

remember, I'm asking for the width of ONE possible shell. preferably one that has a good distinction between the 2 shells.
 
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Tell us about how the game works. Is it real time? Do you calculate forces between frames?
 
Yes, first the regular momentum of the particle is applied THEN all the particles interact, this is to save on those oh so beautiful threads. Also this is better because, if I interacted first then particles could never "jump" through stuff like electrons do.
I just got to the part where this is pretty important for me to know.
Frame-rates don't seem to be something that I'll get a lot of.
Its between frames because real-time would be destruction to your computer.
 
devan said:
remember, I'm asking for the width of ONE possible shell. preferably one that has a good distinction between the 2 shells.
What shells are you talking about?

Orbitals are basically probability distributions, so it doesn't make sense to talk about a definite value of its size. You can have classical analogies, like the Bohr orbit, but quantum mechanically, there is no definite orbital size.
 
devan said:
I'm quite new to quantum mechanics. I have a question, I'm coding a small game with my friends and I do understand the orbitals and I've even written a function in java to simulate the probabilities of ONE of those diagrams, but I do not know my scale just yet, can anyone tell me the width of one electron shell of a hydrogen atom. The sim is in 2 dimensions for now, at least until I get around to making it 3d :(

remember, I'm asking for the width of ONE possible shell. preferably one that has a good distinction between the 2 shells.

devan said:
Yes, first the regular momentum of the particle is applied THEN all the particles interact, this is to save on those oh so beautiful threads. Also this is better because, if I interacted first then particles could never "jump" through stuff like electrons do.
I just got to the part where this is pretty important for me to know.
Frame-rates don't seem to be something that I'll get a lot of.
Its between frames because real-time would be destruction to your computer.

I don't get it either.

What does it mean that you have "written a function in java to simulate the probabilities of ONE of those diagrams"? Did you solve the radial part of the wavefunction for a hydrogen atom, i.e. Rnl?

Most of us who did this in a QM course usually solved the radial part in terms of the Bohr radius, i.e, r/a0, where r is the radial coordinate and a0 is the Bohr radius. This is a number that you can look up. It also means that you can find an average value of the radius, and that, will give you the size of the H-atom, which I take it to be what you are asking for when you asked for the "width of one possible shell". For the H-atom, isn't the "width" of the 1s orbital the size of the atom itself?

Zz.
 
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