The initial current with the unscreened compound is taken as unity. In
Table I, for a thin layer of thorium oxide, the current diminished
rapidly with additional layers of thin paper. In this case the current
is due almost entirely to the α rays. In Table II the current falls to
·74 for the first layer. In this case about 26% of the current is due to
the α rays, which are practically absorbed by the layer ·008 cm. in
thickness. The slow decrease with additional layers shows that the
emanation diffuses so rapidly through a few layers of paper that there
is little loss of activity during the passage. The time taken to diffuse
through 20 layers is however appreciable, and the current consequently
has decreased. After passing through a layer of cardboard 1·6 mms. in
thickness the current is reduced to about one-fifth of its original
value. In closed vessels the proportion of the total current, due to the
emanation, varies with the distance between the plates as well as with
the thickness of the layer of active material. It also varies greatly
with the compound examined. In the nitrate, which gives off only a small
amount of emanation, the proportion is very much smaller than in the
hydroxide, which gives off a large amount of emanation.
=143. Increase of current with time.= The current due to the emanation
does not reach its final value for some time after the active matter has
been introduced into the closed vessel. The variation with time is shown
in the following table. The saturation current due to thorium oxide,
covered with paper, was observed between concentric cylinders of 5·5
cms. and ·8 cm. diameter.
Immediately before observations on the current were made, a rapid stream
of air was blown through the apparatus. This removed most of the
emanation. However, the current due to the ionization of the gas by the
emanation, as it was carried along by the current of air, was still
appreciable. The current consequently does not start from zero.
Time in Current
seconds
0 9
23 25
53 49
96 67
125 76
194 88
244 98
304 99
484 100
The results are shown graphically in Fig. 52, curve _B_. The decay of
the activity of the emanation with time, and the rate of increase of the
activity due to the emanation in a closed space, are connected in the
same way as the decay and recovery curves of Th X and Ur X.
With the previous notation, the decay curve is given by
$$ \frac {I_T} {I₀} = e^{–λt} $$ .
and the recovery curve by
$$ \frac {I_t} {I₀} = 1 − e^{–λt} $$,
where λ is the radio-active constant of the emanation.
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