Charles Cagle writes:
[ ... ]
In article , Craig Markwardt
wrote:
A nitpicker would be concerned with minutiae. My expression showed
that, based on the understanding of thermal gases, the ratio in
question would indeed change significantly with temperature (as
described above), and so your criticism is baseless.

CM

Nonsense. Your understanding of thermal gases has no relationship to
reality if you ignore the fact that low mass gases (which can be
completely ionized) will change the behavior of the gas with respect to
the effect of elementary particles overlapping in momentum space.

On the contrary, the Maxwell Boltzmann distribution of thermal gases
has been tested in many experimental scenarios over the past decades,
and even centuries. It speaks directly the question of the velocity
distribution of gas atoms, and hence the proportion of gas atoms which
overlap in velocity space. The ionization state or mass of the is
largely irrelevant to the temperature dependence of the distribution.
I showed that the temperature has a large effect on the ratio of
overlaps, and you continue not to address this point.

CM