Several methods have been used to measure [alpha]. In one method air,
exposed to some ionizing agent at one end of a long tube, is slowly
sucked through the tube and the saturation current measured at
different points along the tube. These currents are proportional to
the values of n at the place of observation: if we know the distance
of this place from the end of the tube when the gas was ionized and
the velocity of the stream of gas, we can find t in equation (3), and
knowing the value of n we can deduce the value of [alpha] from the
equation
1/n1 - 1/n2 = [alpha](t1 - t2),
where n1, n2 are the values of n at the times t1, t2 respectively. In
this method the tubes ought to be so wide that the loss of ions by
diffusion to the sides of the tube is negligible. There are other
methods which involve the knowledge of the speed with which the ions
move under the action of known electric forces; we shall defer the
consideration of these methods until we have discussed the question of
these speeds.
In measuring the value of [alpha] it should be remembered that the
theory of the methods supposes that the ionization is uniform
throughout the gas. If the total ionization throughout a gas remains
constant, but instead of being uniformly distributed is concentrated
in patches, it is evident that the ions will recombine more quickly in
the second case than in the first, and that the value of [alpha] will
be different in the two cases. This probably explains the large values
of [alpha] obtained by Retschinsky, who ionized the gas by the [alpha]
rays from radium, a method which produces very patchy ionization.
_Variation of [alpha] with the Pressure of the Gas._--All observers
agree that there is little variation in [alpha] with the pressures for
pressures of between 5 and 1 atmospheres; at lower pressures, however,
the value of [alpha] seems to diminish with the pressure: thus
Langevin (_Ann. chim. phys._, 1903, 28, p. 287) found that at a
pressure of 1/5 of an atmosphere the value of [alpha] was about 1/5 of
its value at atmospheric pressure.
_Variation of [alpha] with the Temperature._--Erikson (_Phil. Mag._,
Aug. 1909) has shown that the value of [alpha] for air increases as
the temperature diminishes, and that at the temperature of liquid air
-180° C., it is more than twice as great as at +12° C.
Public-domain text, read in full here on John Shaqi.
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