According to Luise de Broglie only special orbits are allowed, as electrons are both particles and waves of matter.
In my model waves run. In many models they are depicted as standing and oscillating in place. That I consider incorrect.
How long are electron waves?
Photons are made of a few million oscillations so in the case of visible light fotons are around 1m long.
To successfully vanish while interfering with itself in forbidden orbits the electron wave should be made of thousands of oscillations. The length of the first orbit is 3,3x10^-10 m. Multiply it by let’s say 10 000, and you get 0,0033 mm from the beginning to the end.
Here there are only 6 orbits. Astronomical observations prove existence of 109. Orbit no. 100 is 10 000 times longer than orbit 1 and comprises 100 electron wavelengths. In this case the total length of the wave can be estimated at 0.33 mm.
I wonder if you can also put a whole number of electron wavelengths on Sommerfeld orbits. If de Broglie was right, it should be so.
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