DescriptionAtom deBrogie.jpg	English: Two representations of a hydrogenic de-Broglie wave; the ring represents the electron's phase as a color, the wavy line shows the phase using a polar plot of a sinus curve.
Source	Own work
Author	Pieter Kuiper
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

 

This diagram was created with Mathematica.

Mathematica code:

circle = PolarPlot[1,{t,0,2 Pi}, ColorFunction -> Function[{x,y,t,r}, Hue[7 t, 0.7]], PlotStyle -> Thickness[0.05], MaxRecursion -> 3];
wave = PolarPlot[1 + 1/8 Sin[7 t], {t, 0, 2 Pi}, PlotStyle -> {Thickness[0.01], GrayLevel[0.0, 0.5]};
graph = Show[wave, circle, wave, Graphics[Disk[{0, 0}, 0.07]], Axes -> None, ImageSize -> Scaled[2.0]]
Export["Atom_deBroglie.jpg", graph]

There must be ways to get rid of the discontinuities in color, but I do not know how.