File:Planetary atom decay.gif

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Planetary_atom_decay.gif ‎(480 × 480 pixels, file size: 1.95 MB, MIME type: image/gif, looped, 520 frames, 52 s)

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Captions

Captions

If orbits are not quantized, a planetary model of the atom is unstable. The electron will radiate energy away and gradually collapse on the nucleus.

Summary[edit]

Description
English: If orbits are not quantized, a planetary model of the atom is unstable. The electron will radiate energy away and gradually collapse on the nucleus.
Date
Source https://twitter.com/j_bertolotti/status/1278015431450787841
Author Jacopo Bertolotti
Permission
(Reusing this file)		 https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 12.1 code[edit]

 c = 1; \[Epsilon]0 = 1; e = 1; m = 1;
re = 1/(4 \[Pi] \[Epsilon]0) e^2/(m c^2);
r0 = 20 re;
tmax = r0^3/(4 c re^2);
r[t_] := (r0^3 - 4 c re^2 t)^(1/3)
\[Omega][t_] := 1/(4 \[Pi] \[Epsilon]0) e^2/(m r[t]^3)
tmp = Integrate[\[Omega][t], t]
\[Theta][t_] := \[Pi] Log[500] - \[Pi] Log[500 - \[Pi] t]
p0 = Table[
   Show[
    ParametricPlot[ r[t] {Cos[\[Theta][t]], Sin[\[Theta][t]]}, {t, 0, \[Tau]}, PlotStyle -> {Orange}, Axes -> False, PlotPoints -> 10^4, PlotRange -> r0 {{-1.1, 1.1}, {-1.1, 1.1}}]
    ,
    Graphics[{
      Disk[{0, 0}, 0.05],
      Disk[r[\[Tau]] {Cos[\[Theta][\[Tau]]], Sin[\[Theta][\[Tau]]]}, 0.02 ]
      }]
    ]
   , {\[Tau], tmax/500, tmax, tmax/500}];
ListAnimate[p0]

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current10:08, 1 July 2020Thumbnail for version as of 10:08, 1 July 2020480 × 480 (1.95 MB)Berto (talk | contribs)Uploaded own work with UploadWizard

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