THE AGE BY RADIOACTIVE TRANSFORMATIONS

Rutherford suggested in 1905 that as helium was continually being

evolved at a uniform rate by radioactive substances (in the form

of the alpha rays) a determination of the age of minerals

containing the radioactive elements might be made by measurements

of the amount of the stored helium and of the radioactive

elements giving rise to it, The parent radioactive substances

are--according to present knowledge--uranium and thorium. An

estimate of the amounts of these elements present enables the

rate of production of the helium to be calculated. Rutherford

shortly afterwards found by this method an age of 240 millions of

years for a radioactive mineral of presumably remote age. Strutt,

who carried

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his measurements to a wonderful degree of refinement, found the

following ages for mineral substances originating in different

geological ages:

Oligocene - 8.4 millions of years.

Eocene - 31 millions of years.

Lower Carboniferous - 150 millions of years.

Archæan - 750 millions of years.

Periods of time much less than, and very inconsistent with, these

were also found. The lower results are, however, easily explained

if we assume that the helium--which is a gas under prevailing

conditions--escapes in many cases slowly from the mineral.

Another product of radioactive origin is lead. The suggestion

that this substance might be made available to determine the age

of the Earth also originated with Rutherford. We are at least

assured that this element cannot escape by gaseous diffusion from

the minerals. Boltwood's results on the amount of lead contained

in minerals of various ages, taken in conjunction with the amount

of uranium or parent substance present, afforded ages rising to

1,640 millions of years for archæan and 1,200 millions for

Algonkian time. Becker, applying the same method, obtained

results rising to quite incredible periods: from 1,671 to 11,470

millions of years. Becker maintained that original lead rendered

the determinations indefinite. The more recent results of Mr. A.

Holmes support the conclusion that "original" lead may be present

and may completely falsify results derived

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from minerals of low radioactivity in which the derived lead

would be small in amount. By rejecting such results as appeared

to be of this character, he arrives at 370 millions of years as

the age of the Devonian.

I must now describe a very recent method of estimating the age of

the Earth. There are, in certain rock-forming minerals,

colour-changes set up by radioactive causes. The minute and

curious marks so produced are known as haloes; for they surround,

in ringlike forms, minute particles of included substances which

contain radioactive elements. It is now well known how these

haloes are formed. The particle in the centre of the halo

contains uranium or thorium, and, necessarily, along with the

parent substance, the various elements derived from it. In the

process of transformation giving rise to these several derived

substances, atoms of helium--the alpha rays--projected with great

velocity into the surrounding mineral, occasion the colour

changes referred to. These changes are limited to the distance to

which the alpha rays penetrate; hence the halo is a spherical

volume surrounding the central substance.[1]

The time required to form a halo could be found if on the one

hand we could ascertain the number of alpha rays ejected from the

nucleus of the halo in, say, one year, and, on the other, if we

determined by experiment just how many alpha rays were required

to produce the same

[1] _Phil. Mag._, March, 1907 and February, 1910; also _Bedrock_,

January, 1913. See _Pleochroic Haloes_ in this volume.

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amount of colour alteration as we perceive to extend around the

nucleus.

The latter estimate is fairly easily and surely made. But to know

the number of rays leaving the central particle in unit time we

require to know the quantity of radioactive material in the

nucleus. This cannot be directly determined. We can only, from

known results obtained with larger specimens of just such a

mineral substance as composes the nucleus, guess at the amount of

uranium, or it may be thorium, which may be present.

This method has been applied to the uranium haloes of the mica of

County Carlow.[1] Results for the age of the halo of from 20 to

400 millions of years have been obtained. This mica was probably

formed in the granite of Leinster in late Silurian or in Devonian

times.

The higher results are probably the least in error, upon the data

involved; for the assumption made as to the amount of uranium in

the nuclei of the haloes was such as to render the higher results

the more reliable.

This method is, of course, a radioactive method, and similar to

the method by helium storage, save that it is free of the risk of

error by escape of the helium, the effects of which are, as it

were, registered at the moment of its production, so that its

subsequent escape is of no moment.

[1] Joly and Rutherford, _Phil. Mag._, April, 1913.

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