In reply to  Xavier Luminous's message of Fri, 30 Mar 2012 11:32:30 +0200:
Hi,
[snip]
>> 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.
>
>The picture that electrons orbit an atom makes no sense whatsoever.

Not what I said. I said "can" not "always do". 

>Your description works for simple atoms, but fails to account for may
>effects.  Here's a good list from Wikipedia of things the Bohr model
>has problems with:

Not relevant.
[snip]
>- The model also violates the uncertainty principle in that it
>considers electrons to have known orbits and definite radius, two
>things which can not be directly known at once.

See section at the bottom of http://rvanspaa.freehostia.com/theory-paper.html

>
>- Doublets and Triplets: Appear in the spectra of some atoms: Very
>close pairs of lines. Bohr’s model cannot say why some energy levels
>should be very close together.

Once again, *can* not *always do*.

>
>- Multi-electron Atoms: don’t have energy levels predicted by the
>model. It doesn’t work for (neutral) helium.
>
>(Off the top of my head this doesn't explain the exclusion principle either.)

Does QM provide a *physical* explanation for the Pauli exclusion principle or
just accept and use it?

>
>In short, quantum mechanics makes up for all the shortcomings of this
>description and we should really abandon thinking of atoms as
>electrons orbiting a nucleus.
>
>> In short this argument doesn't constitute the requested proof.

In short the arguments presented still doesn't constitute the *requested* proof.
In fact you are studiously ignoring the request altogether.

>
>Hopefully the above list is sufficient.  

Unfortunately not, as you are answering the question you *expect* to be asked,
rather than the question that was *actually* asked.
(you would make a good politician ;)
[snip]
>> 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.
>
>You're correct that the Bohr model can be a particular solution to
>explain some atomic features. 

Once again you appear to miss the point. The point is that it's not an either/or
situation. 

Sometimes an electron can take up a Bohr orbit fleetingly, IOW it's not
forbidden by the Schrödinger equation. 

The question is, can you prove this statement wrong? 

It's a matter of mathematics, either the function describing a Bohr orbit
satisfies the Schrödinger equation or it doesn't. IOW is it a particular (though
not general) solution?


> My problem with it is that it makes you
>think of electrons as classical particles instead of quantum
>mechanical objects.  This thinking, IMHO, should be eliminated.

You may be correct that electrons are not particles, however I didn't say that
they were.
(Then again, what's the definition of a particle, and what is it exactly that
hits the screen and excites the phosphors in old style TV sets? ;)

>
>> BTW exactly how is electron cloud density measured? (IOW how do you know 
>> that QM
>> predictions thereof are correct?)
>
>You take pictures!  Here are two, hopefully they're not paywalled.
>
>http://www.chymist.com/Imaging%20atomic%20orbitals.pdf
>http://arxiv.org/pdf/cond-mat/0107195
>
>A little bird told me while writing this that you can look at the
>diffraction of ultrashort pulses and reconstruct other orbitals, but I
>didn't look for a paper.
>
>>>Again, electrons don't orbit an atom.
>> (Usually)
>
>EVER! :)

Rydberg atoms?
Regards,

Robin van Spaandonk

http://rvanspaa.freehostia.com/project.html

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