If each atom of the product expels one α particle, the total energy
emitted from 1 gram of the matter is about 2 × 10¹⁶ ergs or 8 × 10⁸ gram
calories. The total emission of energy from a product which emits only β
rays is probably about one-hundredth of the above amount.
In this case we have only considered the energy emitted from a single
product independently of the successive products which may arise from
it. Radium, for example, may be considered a radio-active product which
slowly breaks up and gives rise to four subsequent α ray products. The
total heat emission from one gram of radium and products is thus about
five times the above amount, or 4 × 10⁹ gram calories.
The total emission of energy from radium is discussed later in section
266 from a slightly different point of view.
=252. Number of ions produced by an α particle.= In the first edition of
this book it was calculated by several independent methods that 1 gram
of radium emitted about 10¹¹ α particles per second. Since the actual
number has later been determined by measuring the charge carried by the
α rays (section 93) we can, conversely, use this number to determine
with more certainty some of the constants whose values were assumed in
the original calculation.
For example, the total number of ions produced by an α particle in the
gas can readily be determined. The method employed is as follows. 0·484
mgr. of radium bromide was dissolved in water and then spread uniformly
over an aluminium plate. After evaporation, the saturation ionization
current, due to the radium at its minimum activity, was found to be 8·4
× 10⁻⁸ ampere. The plates of the testing vessel were sufficiently far
apart to absorb all the α rays in the gas. The number of α particles
expelled per second into the gas was found experimentally to be 8·7 ×
10⁶. Taking the charge on an ion as 1·13 × 10⁻¹⁹ coulombs (section 36),
the total number of ions produced per second in the gas was 7·5 × 10¹¹.
Thus each α particle on an average produced 86,000 ions in the gas
before it was absorbed.
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