athomic orbit

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Permalink Reply by Nik Willmore on February 27, 2016 at 1:56am

This is the classic three-body problem with an extra body thrown in, thus the chaos is completely natural since you don't have quantum mechanics wave functions added in there! To get those, you really need to think in terms of waves instead of particles, or even pure 3D geometric equations that molecular orbitals have the same shape as. All you could do is limit them to a set distance around the nucleus. That's quantum mechanics too, why electrons can't just plunge in and stick to the nucleus which after three do that exact thing in your script, it ends, leaving one electron in space. The electrons move as probability waves, actually, where they don't even have positions, just a likelihood of being detected at a given location, but those waves do act as physical waves in many a sense so can be thought of as objects.

This all very much confused early scientists too.

There are special cases however, that rely on specific starting vectors, in which your four electrons could retain a stable formation indefinitely:

http://www.scholarpedia.org/article/N-body_choreographies

-=Nik=-, PhD in chemistry (Columbia/Harvard)

Permalink Reply by Nik Willmore on February 29, 2016 at 2:38am

Permalink Reply by Verônica Natividade on February 29, 2016 at 4:55am

Thank you very much for your tips! Nice schemes! I'll try this on and post the results.

Permalink Reply by liguoxiong on March 2, 2016 at 11:27pm

https://vimeo.com/11927697,here is an video about three-body problem,but the athor did not offer the source gh,so,maybe it is helpless

Permalink Reply by Verônica Natividade on March 6, 2016 at 7:07am

Thanks very much for the interest, but the link is not working... Could you send it again, please?

Permalink Reply by Nik Willmore on March 6, 2016 at 7:10am

https://vimeo.com/11927697

Permalink Reply by Verônica Natividade on March 6, 2016 at 7:49am

Thanks, Nik. 

Permalink Reply by Nik Willmore on March 19, 2016 at 6:37am

Ran into a lecture mention of Bohr atom orbits today, at exactly one hour in:

http://youtu.be/f1x9lgX8GaE