The Bohr Sommerfeld model was fundamentally inconsistent and led to many paradoxes.
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However, this is not to say that the Bohr-Sommerfeld model was without its successes.
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Calculations based on the Bohr Sommerfeld model were able to accurately explain a number of more complex atomic spectral effects.
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The semiclassical hydrogen atom is called the Sommerfeld model, and its orbits are ellipses of various sizes at discrete inclinations.
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Arnold Sommerfeld combined the classical Drude model with quantum mechanics in the free electron model ( or Drude-Sommerfeld model ).
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The new theory solved many of the problems predicting thermal properties the original model had and became known as the Drude Sommerfeld model.
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It is possible to rotate objects with discrete orientations to produce superpositions of other discrete orientations, and this resolves the intuitive paradoxes of the Sommerfeld model.
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The model was extended in 1905 by Hendrik Antoon Lorentz ( and hence is also known as the "'Drude Lorentz model "') and is a Drude Sommerfeld model.
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The irregular filling pattern is an effect of interactions between electrons, which are not taken into account in either the Bohr or Sommerfeld models and which are difficult to calculate even in the modern treatment.
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While first-order perturbation effects for the Stark effect in hydrogen are in agreement for the Bohr Sommerfeld model and the quantum-mechanical theory of the atom, higher-order effects are not.
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