One of the important consequences of the discovery of radioactivity was
to afford the scientist a means for solving the problem of the earth’s
age. By “age of the earth” we mean here the time which has elapsed
since the earth’s surface became fitted for the habitation of living
beings. By means of radioactivity we can form an approximate estimate
of the time which has passed since the formation of any given series of
geological strata. Radium is our geological time clock.
It is now known that all the common rocks and soils of which the
earth’s crust is built up contain measurable amounts of radium.
According to the computation made by Prof. John Joly, the total
quantity of radioactive matter may be as much as one 500 billionth part
of the whole volume of the globe, or something over half a cubic mile.
All of the 36 known radio-elements are disintegration products of the
primary radio-elements uranium and thorium--_i.e._, they are produced
from one or the other of these in their long sequence of changes. And
the rate at which the radioactive products change--their average life
period,--from the first transmutation to the final product, radium
lead, an isotrope of common lead, is accurately known. (Helium atoms
are “the debris shed at the various stages of the transformation.”)
It is now well established that a gram of uranium as found along with
its products in rocks and minerals is changing at a rate represented by
the production of 1.88 x 10^{-11} grams of helium and 1.22 x 10^{-10}
grams of lead (isotrope) _per annum_. We do not know for a certainty,
of course, that this rate of production has been maintained throughout
geological time. In the opinion of Lord Rayleigh, we may safely assume
that the rate of transformation has not changed, so that “it would seem
that in the disintegration of a gram of uranium we have a process the
rate of which can be relied upon to have been the same in the past as
we now observe it to be” (_Nature_, October 27, 1921).
Acting on Rutherford’s suggestion, the Hon. R. J. Strutt (later
Lord Rayleigh) made a determination of the amount of radium in the
superficial parts of the earth--which are alone accessible; and he
also determined the ratio of the lead (isotope) to the uranium, which
was found to be 1.3 (specifically, in the broggerite found in the
Pre-Cambrian rocks at Moss, Norway). Now, if we assume--as the evidence
seems to warrant--that the lead of this atomic weight (206.06) was
all produced by uranium at the rate given above, we get an age of 925
million years for these rocks. Some minerals from other Archaean rocks
in Norway give a rather larger figure.
“In other cases,” says Lord Rayleigh, “there is some complication,
owing to the fact that thorium is associated with uranium in the
mineral and that it, too, produces helium and an isotrope of lead of
atomic weight probably 208 exactly, about one unit higher than common
lead.”
Public-domain text, read in full here on John Shaqi.
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