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==Mathematics==
==Mathematics==
The model is based on [[classical physics]] and ignores radiation emitted by the [[electron]] due to it's acceleration. It also supposes that [[electrons]] are only allowed to have certain values ofr their [[angular momentum, or that [[angular momentum]] is '''quantised'''. It correctly predicts, by chance, the relationship beween different levels and their radius and energy. These radius relationship is:
The model is based on [[classical physics]] and ignores radiation emitted by the [[electron]] due to its acceleration. It also supposes that [[electrons]] are only allowed to have certain values ofr their [[angular momentum]], or that angular momentum is '''quantised'''. It correctly predicts, by chance, the relationship beween different levels and their radius and energy. These radius relationship is:
<math>
<math>
This can be done since [[Planck's constant]] has the same units as [[angular momentum]]
This can be done since [[Planck's constant]] has the same units as [[angular momentum]]
By considering [[Coulomb's Law|Coulomb's law]], the electrostatic [[force]] between the [[electron]] and the [[proton]] and the [[acceleration]] of the electron undergoing circular motion we find:
By considering [[Coulomb's Law|Coulomb's law]], the electrostatic [[force]] between the electron and the [[proton]] and the [[acceleration]] of the electron undergoing circular motion we find:
<math>
<math>
* It could not explain the concept of doublets, these were shown to be due to sub-shells within energy levels
* It could not explain the concept of doublets, these were shown to be due to sub-shells within energy levels
* It contained electrons orbiting with fixed radii, this was later shown to be false by the [[Heisenberg uncertainty principle]], an effect of which is that the probability of an electron appearing in a location can only be predicted, its path cannot be mapped
* It contained electrons orbiting with fixed radii, this was later shown to be false by the [[Heisenberg uncertainty principle]], an effect of which is that the probability of an electron appearing in a location can only be predicted, its path cannot be mapped
==References==
{{Reflist}}
[[Category:Chemistry]]
[[Category:Chemistry]]
[[Category:Quantum Mechanics]]
[[Category:Quantum Mechanics]]