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Niels Bohr's "solar system" model of the atom was an attempt to explain

the spectrum of the hydrogen atom. The model had a negative electron orbiting a positive proton, but the electron was only allowed to occupy particular energy

levels.

The model worked well, but lacked any theoretical basis. The wave mechanical

model gave a reason for the restricted energy levels in terms of the wave

properties of electrons. This developed into "quantum mechanics" which is

probably the most important theory in modern physics.

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Q: What does the wave mechanical model do that the solar system model failed to do?
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