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Maxwell-Boltzmann Distribution
The kinetic energy distribution of electrons, ions and
neutrals is very important for characterizing a gas.
From statistical arguments and also from experiments
the so called Maxwell Boltzmann distribution can be
derived (see fig.
). This indicates
the portion of the gas constituents having a specific
velocity
in thermal equilibrium (
denotes the mass
of the particles). At
www.gs68.de
you can plot a Maxwell Boltzmann Distribution online.
 |
(1.7) |
Figure:
Maxwell Boltzmann distribution
|
The shape of the distribution gets wider for higher
temperatures and also the peak decreases. It is possible
to calculate a mean speed
which is equal to:
 |
(1.8) |
The mean speed is always higher than the most probable
speed due to the skewness of the distribution.
For Argon atoms at
C (=295K)
= 394m/s.
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