In reply to Xavier Luminous's message of Thu, 29 Mar 2012 23:56:53 +0200: Hi, [snip] >On Thu, Mar 29, 2012 at 10:22 PM, <[email protected]> wrote: >> In reply to Xavier Luminous's message of Thu, 29 Mar 2012 16:28:25 +0200: >> Hi, >> [snip] >>>This Bohr model picture of the atom is incorrect. Electrons do not >>>orbit the nucleus of an atom, so there's no centrifugal force >>>component (though they are bound via quantum mechanical principles). >>> >>>-X >> Prove that the Bohr model is not a special solution to the Schrödinger >> equation. > >Here's an example for starters. An electron has a charge, and an >accelerating charge will emit a photon. If an object travels in a >circular path, it is accelerating. If the Bohr model was correct, the >electrons would emit a burst of photons as they orbited, losing energy >and quickly crashing into the nucleus. But of course this doesn't >happen, which is one reason why the Bohr model is incorrect and you >can't say that electrons orbit an atom.
The reason this doesn't happen is not because the Bohr model is impossible. The reason is that a smaller orbit than the "ground state" would require a change in angular momentum of the electron that is less than the angular momentum of a photon, hence a photon can't be formed to carry away the difference in angular momentum that shrinkage below the ground state would require. Which in turn neatly explains why photon emission stops upon achieving the ground state. In short this argument doesn't constitute the requested proof. > >The other easy thing is that the Bohr model doesn't predict the >electron cloud density: p- and s-orbitals, etc. Note that I didn't say that the Bohr model was "the" solution. I only requested that you show that it couldn't be a *particular* solution. IOW I'm asking that you show that it can *never* happen. BTW exactly how is electron cloud density measured? (IOW how do you know that QM predictions thereof are correct?) >Again, electrons don't orbit an atom. (Usually) [snip] Regards, Robin van Spaandonk http://rvanspaa.freehostia.com/project.html
