An interesting result follows from the rapid absorption of radiation by
the gas. If the current is observed between two fixed parallel plates,
distant _d₁_ and _d₂_ respectively from a large plane surface of active
matter, the current at first increases with diminution of pressure,
passes through a maximum value, and then diminishes. In such an
experimental case the lower plate through which the radiations pass is
made either of open gauze or of thin metal foil to allow the radiation
to pass through readily.
The saturation current _i_ is obviously proportional to
$$ \int_{d_1}^{d_2} pI₀e^{-pλ_1 d} $$,
i.e. to
$$ \frac{I₀}{λ_1} (e^{-pλ_1 d_1} − e^{-pλ_1 d_2}) $$
This is a function of the pressure, and is a maximum when
$$ \log_e \frac{d_1}{d_2} = − pλ_1 (d_2 − d_1) $$
For example, if the active matter is uranium, _p_λ₁ = 1·6 for the α rays
at atmospheric pressure. If _d₂_ = 3, and _d₁_ = 1, the saturation
current reaches a maximum when the pressure is reduced to about ⅓ of an
atmosphere. This result has been verified experimentally.
=45. Conductivity of different gases when acted on by the rays.= For a
given intensity of radiation, the rate of production of ions in a gas
varies for different gases and increases with the density of the gas.
Strutt[76] has made a very complete examination of the relative
conductivity of gases exposed to the different types of rays emitted by
active substances. To avoid correction for any difference of absorption
of the radiation in the various gases, the pressure of the gas was
always reduced until the ionization was directly proportional to the
pressure, when, as we have seen above, the ionization must everywhere be
uniform throughout the gas. For each type of rays, the ionization of air
is taken as unity. The currents through the gases were determined at
different pressures, and were reduced to a common pressure by assuming
that the ionization was proportional to the pressure.
With unscreened active material, the ionization is almost entirely due
to α rays. When the active substance is covered with a layer of
aluminium ·01 cm. in thickness, the ionization is mainly due to the β or
cathodic rays, and when covered with 1 cm. of lead, the ionization is
solely due to the γ or very penetrating rays. Experiments on the γ rays
of radium were made by observing the rate of discharge of a special
gold-leaf electroscope filled with the gas under examination and exposed
to the action of the rays. The following table gives the relative
conductivities of gases exposed to various kinds of ionizing radiations.
Gas Relative α β γ Röntgen
Density rays rays rays rays
Hydrogen 0·0693 0·226 0·157 0·169 0·114
Air 1·00 1·00 1·00 1·00 1·00
Oxygen 1·11 1·16 1·21 1·17 1·39
Carbon dioxide 1·53 1·54 1·57 1·53 1·60
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