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What is the height of the electron orbits an atom? (How far are the energy levels of the electron relative to the center of the atomic nucleus?) How fast do electrons move in their orbits?

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I'm afraid that the whole question is predicated on a misunderstanding (albeit one that many popular sources rather encourage). Electrons don't "orbit" in the sense that planets orbits the sun; they occupy "orbitals" which is a very different, and fundamentally quantum mechanical thing. Your questions do have reasonable analogues in this view ("What is the RMS radial position?" is a reasonable way to answer the height question, and so on), but the answer won't mean quite what you expect them to mean. It might help if you told us what your level of preparation is. – dmckee♦ Feb 14 at 17:18
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The second part is fully answered in How fast do electrons travel in an atomic orbital? – dmckee♦ Feb 14 at 17:20
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Two related questions that don't answer the height query but might help understand the distinction I made in my first comment: Why do electrons occupy the space around nuclei, and not collide with them? and Why don't electrons crash into the nuclei they “orbit”?. – dmckee♦ Feb 14 at 18:20
Is it confirmed by experiment or just a calculated theoretically? Can you describe this experiment? (about orbitals) – Robotex Feb 15 at 12:48

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