During a thought experiment, I observed that I was not able to figure the Bohr model in 3d.
In every picture I saw up to today, the electrons orbit the nucleus on a fixed circle-like path.
But while modelling this behaviour in 3d some questions arose:
- Do electrons "change their direction" on their orbit? (Or do they fly on a circle embedded in 3d?)
- If 1. is correct (which is what I assume), how could you describe this process mathematically? It could be something like a random walk, but on a sphere surface and with parameters which I do not know.
- Electrons are able to change their orbital by "jumping" a quantized energy level.
Is the location within the after-jump-orbit stochastically (in)dependent of the location on the previous orbital? That is, does the position on the previous orbital in some degree determine the position within the after-jump-orbital? I'm not interested in the distance between the orbitals, but wether the electron jump lies on a line with three points: the nucleus, the previous location and the after-jump-location.
Or could it be that the electron jumps one orbital higher, but is after the jump on the other side of the nucleus than its previous location?
Please remain relaxed: I know of the quantum model, but the Bohr model is often sufficient in simple chemistry.
Please excuse my bad description, I lack knowledge as well as the english technical vocabulary. Feel free to improve.