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The plot shows stationary de Broglie waves in the Bohr model of the hydrogen atom. The electron, behaving as a wave, is stable in orbits containing an integer number of wavelengths. This model was an early precursor of the quantum theory.

Contributed by: Enrique Zeleny

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The de Broglie's relation is

, and the allowed wavelengths for a stable orbit obey the condition

, where

is the wavelength,

is the radius, and

Bohr Model (ScienceWorld)

de Broglie Wavelength (ScienceWorld)

"Bohr's Orbits" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/BohrsOrbits/

Contributed by: Enrique Zeleny

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Bohr's Orbits

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