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On 2002-07-26 22:34, Richard J. Hanak wrote:
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On 2002-06-29 Wiley wrote:
buzz No, I'm sorry, but thanks for playing. If this were true the electron would radiate away all the energy and spiral into the proton very quickly.
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Although both quantum mechanics and wave mechanics preclude the continuous loss of energy to which you refer, they do not preclude the balancing of electrostatic attraction by centrifugal force in the allowed orbits. If the quantum number is greater than 10,000 for the electron orbiting the hydrogen atom, the frequencies of the emitted light calculated by quantum mechanics and classical mechanics differ by only 0.015%.
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First, wave mechanics does not preclude the energy loss I'm refering to, only quantum mechanics does. If wave mechanics did preclude this loss, there would have been no reason to develop quantum mechanics.
Second, by having the electron moving in an orbit, you are no longer in an electrostatic regime, but an electrodynamic one. You must deal with the synchrotron radiation.
Third, classical models of the atom do have a limited range of validity. It's not surprising that there is a limited range your in which your model works, but we need a model that is valid over a large span.
Fourth, a quantum number of 10,000? for the hydrogen atom? I've never seen anyone use anything over 5 for the hydrogen atom. So which quantum number? Do you have a reference for this?
Fifth, since we experimentally know the vibrations of the hydrogen atom to much less 0.015%. It's still not a very good match.
<font size=-1>[ This Message was edited by: Wiley on 2002-07-29 14:25 ]</font>