Let us consider, for example, the case of a product which gives out only
α rays. The passage of the α particles through the gas produces a large
number of ions in its path. Since the α particles from any individual
product are projected with the same average velocity under all
conditions, the relative amount of the ionization produced per second in
the testing vessel serves as an accurate means of determining the
variation of its activity. No two products, however, emit α particles
with the same average velocity. We have seen that the rays from some
products are more readily stopped in the gas than others. Thus the
relative saturation current, due to two different products in a testing
vessel, does not serve as an accurate method of comparing the relative
number of α particles expelled per second. The ratio of the currents
will in general depend upon the distance between the plates of the
testing vessel, and, unless the relative ionization due to the average α
particle from the two products is known from other data, the comparison
of the currents can, at best, be only an approximate guide to the
relative number of α particles escaping into the gas.
=202.= Some examples will now be considered to show how the factors,
above considered, influence the character of the curves of activity
obtained under different experimental conditions. For the purpose of
illustration, we shall consider the variation after removal of the
excited activity on a body exposed for different times to a constant
supply of the radium emanation. The active deposit on removal consists
in general of a mixture of the products radium _A_, _B_, and _C_. The
nature of the rays from each product, the time for each product to be
transformed, and the value of λ are tabulated below for convenience:—
Product Rays T. λ (sec⁻¹)
Radium _A_ α rays 3 min. 3·85 ×
10⁻³
Radium _B_ no rays 21 min. 5·38 ×
10⁻⁴
Radium _C_ α, β, γ 28 min. 4·13 ×
rays 10⁻⁴
Since only the product _C_ gives rise to β and γ rays, the activity
measured by either of these types of rays will be proportional to the
amount of _C_ present at any time, _i.e._ to the value of _R_ at any
time. For a long exposure, the variation of activity with time measured
by the β and γ rays will thus be represented by the upper curve _CC_ of
Fig. 73, where the ordinates represent activity. This curve will be seen
to be very similar in shape to the experimental curve for a long
exposure which is given in Fig. 68.
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