Width of one electron shell of a hydrogen atom

Click For Summary

Discussion Overview

The discussion revolves around the width of one electron shell of a hydrogen atom, particularly in the context of a coding project simulating quantum mechanics concepts. Participants explore the nature of electron shells and orbitals, seeking a quantifiable measure for use in a game simulation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant inquires about the width of a single electron shell of a hydrogen atom for a game simulation, emphasizing the need for a clear distinction between shells.
  • Another participant questions the nature of the shells, stating that orbitals represent probability distributions, which complicates the idea of a definite size.
  • A participant mentions the Bohr model and suggests that the radial part of the wavefunction for hydrogen can be solved in terms of the Bohr radius, which could provide an average value for the atom's size.
  • There is a discussion about the coding approach, including how particles interact and the implications for frame rates in the simulation.

Areas of Agreement / Disagreement

Participants express differing views on the concept of electron shell width, with some suggesting that it cannot be defined in a classical sense while others reference the Bohr model as a potential framework for understanding size. The discussion remains unresolved regarding a specific width for the electron shell.

Contextual Notes

Limitations include the dependence on classical analogies versus quantum mechanical interpretations, as well as the challenge of defining a "width" for orbitals that are fundamentally probabilistic in nature.

devan
Messages
2
Reaction score
1
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.
 
  • Like
Likes   Reactions: Konstantin ShV
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 52 ·
2
Replies
52
Views
8K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 0 ·
Replies
0
Views
650
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 17 ·
Replies
17
Views
3K