Of course are all electron orbits related by simple quantization rules
that again are acting within second order coupling. I think that perhaps
resonance is not enough. The change in angular momentum of the electron
also has to match that of the photon if the photon is to be absorbed or
emitted. .
In fact there are no real electron orbits. The bound electron is in magnetic
resonance with the nucleus This is the only way to get the correct result for
the ionization energy.
The Hydrogen ionization energy can be calculated without Coulomb and charge
radius by a simple magnetic resonance formula. See SO(4) physics.
The Bohr/QM formula is just the first order approximation.
So no real(singular) angular momentum change as there is no particle like
electron just the resonant waves. The waves form a symmetric orbit that from
all sides looks the same. This is also what we see in optics - given a
homogeneous grid.
J.W.
On 25.01.2021 23:31, Robin wrote:
In reply to Jürg Wyttenbach's message of Mon, 25 Jan 2021 22:59:04 +0100:
Hi Jürg,
[snip]
People always think that quanta are fix size. This is not the case.
That depends on which quantity you are talking about.
Of course are all electron orbits related by simple quantization rules
that again are acting within second order coupling.
So there are lines for certain well known isotopes e.g. the yellow of
Na. But theies lines have a certain thickness, the same as you would
draw it with fat pencil.
True.
Photons can only go into resonance with a line if these match the orbit,
else these get ejected after a "halve turn + angle".
I think that perhaps resonance is not enough. The change in angular momentum of
the electron also has to match that of
the photon if the photon is to be absorbed or emitted. Otherwise any atomic
transition would be possible.
Both energy and angular momentum need to be conserved for the electron/photon
pair.
Do also not forget that we live around 290K where all atoms (outer shell
electrons/ chemical bonds) carry excess energy!
Most of this energy is in the form of kinetic energy of the entire
atom/molecule, which is the primary reason that the
lines undergo Doppler broadening.
IOW the line width changes with temperature.
[snip]
--
Jürg Wyttenbach
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