We perhaps get the clearest conception of what this means if we apply
the 860-rule; this shews that the radiation would break up an electric
structure whose dimensions are only about 10⁻¹⁶ cms. No structure
formed of electrons and protons can possibly be as small as this, for
the radius of a single electron is about 2 × 10⁻¹³ cms. The radiation
is of about the wave-length needed to break up the proton itself, the
smallest and most compact structure known to science.
Approaching the problem from another angle, the numerical relations
already given shew that a quantum of radiation of this wave-length
must have energy equal to 0·0015 erg, and so must have a weight of
about 1·66 × 10⁻²⁴ grammes. Every physicist recognises this weight at
once, for the best determinations give the weight of the hydrogen atom
as 1·662 × 10⁻²⁴ grammes. The quantum of highly penetrating radiation
has, then, just about the weight, and just about the energy, that would
result from a complete hydrogen atom suddenly being annihilated and
having all its energy set free as radiation.
It can hardly be supposed that all the highly penetrating radiation
received on earth has its origin in the annihilation of hydrogen atoms.
If for no other reason, there are probably not enough hydrogen atoms
in the universe for such a hypothesis to be tenable. The hydrogen atom
consists of a proton and an electron, and its weight is roughly the
same as the combined weight of a proton and an electron selected from
any atom in the universe, so that, to a near enough approximation, the
quantum of highly penetrating radiation has the wave-length and energy
which would result from a proton and electron in any atom whatever
coalescing and annihilating one another. We have seen how the weights
of the different known types of atoms approximate to integral multiples
of the weight of the hydrogen atom, or to be more precise, differ by
almost exactly equal steps, each of which is about equal to the weight
of the hydrogen atom. The weight of the quantum of highly penetrating
radiation is equal to the change of weight represented by a single
step, so that the quantum could be produced by any transformation which
degraded the weight of an atom by a single step. In the most general
case possible, this degradation of weight must, so far as we can see,
arise from the coalescence of a proton and electron, with the resulting
annihilation of both.
Public-domain text, read in full here on John Shaqi.
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