Thomas-Fermi Model: Comparison with Atomic Experiments

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I'm reading the Thomas-Fermi model for many electrons atom. However the book I'm reading doesn't seem to provide a comparison between the result of calculation using this method with experimental measurement. I wonder if this method gives a good approximation at all. So, I would appreciate if somebody can provide me a link which discusses the comparison with experiments. e.g. the energy levels of some atoms.
 
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That's what I suspected though, the method begins with the assumption that the electrons move freely under no influence of any potential around the nucleus and that sounds to be oversimplification.
Thanks anyway for the paper.
 
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