http://physics.bu.edu/cc104/!debrogl.jpg
De Broglie: an electron in an atom is more like standing wave than an orbiting
charged particle.
This implies that the electron as standing wave pattern can exist
only at certain specific distances “r” from the nucleus, such that 2
B
r = n
8
, where n is
an integer (1, 2, 3, ...); i.e. only an integral number of waves fit into the “orbit.”
This
in turn implies that the energy of atoms is quantized.

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This is consistent with experiment, which shows that the energy emitted by atoms is
quantized.