CHAPTER VII

RADIOACTIVITY

Geological application—Röntgen rays—Becquerel

rays—Mme. Curie and the discovery of Radium—The

gold-leaf electroscope—The nature of α-, β- and

γ-rays—Helium and its production from radium—The

heat output of radium—Transformation of the radium

atom—Disintegration theory—The half-life period of

radium and its generation from uranium—The uranium,

thorium and actinium families—Direct measurement of

the heat output—Radioactivity independent of external

influences—Pleochroic haloes—Measurement of radium in

rocks and minerals.

In the limited space at our disposal, only a brief outline of the

salient facts of the new science of radioactivity can be given. It is

necessary to give some account of these recent discoveries because

of their immediate application to the study of the earth itself.

In a science like geology, the function of which is to study the

consequences of energy transformations in the earth’s crust during the

long ages of her gyrations through space, the recognition of sources of

energy previously undreamed of is a stimulant to research which must

profoundly affect the interpretations of the phenomena we observe. For

our present purpose it will be necessary to review only those facts

which have a bearing on the question of the earth’s age, and of its

thermal history.

In 1895 Röntgen gave his first account of _A New Kind of

Radiation_. This extraordinary radiation, now familiar to us as

the X, or Röntgen rays, revealed itself by its remarkable property of

passing through objects which are entirely opaque to ordinary light.

It was found, for example, that a photographic plate was not protected

from its influence by being wrapped in black paper, but was affected

just as though it had been exposed.

This discovery awakened the deepest interest amongst all scientific

workers, and the idea arose that phosphorescence and the Röntgen

rays might in some way be vitally connected. Certain substances,

after being exposed to sunlight, are able to shine in the dark with

a phosphorescent light, and it was this radiation which was examined

from the new point of view. Working on these lines, with uranium salts,

Becquerel found, almost by accident, that they gave out rays which

were capable of penetrating black paper and making themselves evident

by their effect upon a photographic plate wrapped within it. This

observation in 1896 marks the commencement of the harvest of wonderful

discoveries which have revolutionised our conception of the structure

of matter.

[Illustration: FIG. 12.

Taken in the dark by its own rays.]

[Illustration: FIG. 13.

Taken in ordinary daylight.

PHOTOGRAPHS OF PITCHBLENDE.]

The emission of rays was found to be an inherent property of uranium

and entirely independent of the phosphorescence exhibited by certain

of its compounds. Physical and chemical changes made no difference;

the radioactive properties evidently belonged to the atom itself, for

they could be detected under whatever conditions uranium happened to

be present. Mme. Curie at once began an exhaustive examination of all

the other known elements, and came to the conclusion that thorium alone

possessed radioactive properties similar to those of uranium. In the

course of her researches, she found that uranium-bearing minerals such

as pitchblende (uraninite) were far more active in their emission of

rays than could be accounted for by the uranium present. Systematically

following up so significant a fact, she traced the activity to the

bismuth and barium separated from these minerals. In 1898 two new

elements were announced. One, associated with bismuth, was called

Polonium; the other, found in minute quantities with the barium, was

appropriately named Radium.

The spontaneous radiations of these elements, collectively known as the

Becquerel rays, were soon distinguished from the Röntgen rays by their

greater complexity. Their analysis is largely due to the scientific

genius of Rutherford, who has classed them into three well-marked

types, the Alpha or α-, Beta or β-, and Gamma or γ-rays. The instrument

chiefly employed in their detection is the gold-leaf electroscope,

which not only is simple in construction, but is capable of extreme

sensitiveness. Under ordinary conditions the air is a good insulator,

and a charged electroscope loses its charge only very slowly. However,

if radium is brought near the instrument, the discharge proceeds much

more rapidly, the effect of the Becquerel rays being to ionise the

air and so render it conductive to electricity. In the electroscope

this effect can be readily observed and accurately measured, for the

leaf falls at a regular rate, which depends on the intensity of the

radiation. The sensitiveness of this method so far surpasses that of

the most delicately adjusted balance that by its means a quantity of

radium can be detected which would need to be multiplied thousands of

millions of times before the balance would turn to its weight.

It is easy—by interposing between the electroscope and the radium a

gradually increasing thickness of suitable material such as thin sheet

aluminium—to establish the existence of three kinds of rays which

differ greatly in their power of penetrating matter. The γ-rays are, on

the average, about a hundred times more penetrating than the β-rays,

and these in turn are equally the superior of the α-rays. In each case

the penetration in different materials depends approximately on their

density. The three types can also be distinguished by their behaviour

in a strong magnetic field. Giesel showed that the β-rays were

deflected in such a way as to indicate that they consisted of particles

carrying a negative charge of electricity. The α-rays were much more

difficult to deflect, but Rutherford successfully turned them from

their path by applying a very intense field, and from the direction

of their deflection he concluded that they consisted of positively

charged particles. The γ-rays have, however, resisted all attempts made

to alter their course. Their real nature is not yet beyond dispute,

and from the great similarity between their properties and those of

the Röntgen rays they are generally considered to be, like the latter,

either electro-magnetic pulses in the ether, or uncharged corpuscles of

a kind not yet understood.

When an electric discharge is passed through a high-vacuum tube, rays

are emitted from the cathode which, on reaching the walls of the

tube, produce a yellowish-green phosphorescence. The cathode rays

are identical with β-rays in every essential respect, and both are

proved to be tiny, negatively charged particles, called electrons. The

velocities of both cathode and β-particles are inconceivably high;

in the latter case even approaching that of light. Now Röntgen rays,

whatever may be their true nature, are set up by the sudden stoppage of

electrons when they impinge upon the anti-cathode of a vacuum tube. In

the same way it is supposed that the β-rays, by their sudden expulsion,

give rise at the same moment to γ-rays. It is a significant fact in

this connection that the β- and γ-rays are always associated together,

whereas the α-ray may be quite independent.

The story of the brilliant researches which culminated in the

measurement of the mass of an electron, and of the charge it carries,

is one of the most fascinating in the annals of science. But here we

must be content with the bare statement that the electron has only

¹/₁₇₀₀ of the mass of a hydrogen atom. The application of similar

methods to the α-particle has demonstrated that it is of atomic

dimensions, and consists either of a hydrogen atom with a single ionic

charge, or of a helium atom with twice that charge. Other evidence

decides conclusively in favour of the second alternative.

Of all the elements, helium has probably the most interesting history.

It was first discovered in the sun during the eclipse of 1868, but it

was not until 1895 that it was detected in terrestrial materials. In

that year Sir W. Ramsay identified it in uranium- and thorium-bearing

minerals by means of its highly characteristic spectrum. Even then,

before radioactivity had been recognised, the association of helium

with these elements had forced itself upon his notice. In 1902 the

genetic relationship between helium and certain of the radioactive

elements was predicted by Rutherford and Soddy. During the following

year Ramsay and Soddy working in conjunction sought for, and actually

observed, its generation from radium. Using a radium preparation from

which helium was at first entirely absent they were able to prove,

with the aid of the spectroscope, that in the course of a few months

sufficient of the gas had been generated to be identified. This

important discovery has received abundant confirmation during the last

decade, and to-day we even know the number of helium atoms which a gram

of radium emits in a given time. Moreover, the production of helium has

been demonstrated from uranium, thorium and actinium, and from most of

the other radioactive elements which are characterised by the emission

of α-rays. The rate of generation of helium will be considered in more

detail in Chapter X, where it finds an important application.

An observation of fundamental importance was made by Curie and Laborde

in 1903 when they discovered that radium is able to maintain a

temperature above that of its environment. The source of this emission

of heat lies in the kinetic energy of the Becquerel rays. Projected

from radium, they are sooner or later completely absorbed by the

matter through which they penetrate. Simultaneously, their energy is

given up to the molecules with which they collide, and it therefore

reappears as heat. By far the greater proportion—over 85%—of the

energy is carried by the relatively heavy α-particles which move with

velocities nearly one-tenth that of light. Knowing their masses and

velocities, and the number liberated per hour from a gram of radium, it

is a simple dynamical problem to calculate their total kinetic energy.

Expressing this quantity in heat units, it is found to be equivalent

to an hourly production of 113 calories. (Ap. A, p. 177.) As we shall

see later, this figure is in close agreement with the results of direct

measurements.

The most remarkable feature about these phenomena is that they appear

to continue unceasingly. Year after year the spontaneous production of

helium goes on, accompanied by a steady evolution of heat. But what

of the atoms that remain? They evidently cannot continue to be the

same element after having given up part of their energy and expelled

from themselves the material particles of the α- and β-rays. A close

examination reveals the genesis of a new element—a gaseous substance

known as radium emanation. Its atom represents the residual fraction

of the radium atom after the separation of a single α-particle. The

emanation is highly unstable; so rapidly does it give up energy and

liberate helium that its original intense activity decreases by half

every four days. In its place arises another product, radium A, of

still more transitory existence. A long succession of similar

transmutations has been traced, each accompanied by a setting free of

energy.

In 1902 Rutherford and Soddy advanced the theory of the disintegration

of the radioactive atoms. The radium atom is essentially unstable and

ultimately breaks up, explosively emitting α- and β-particles. Each

atom has a certain expectation of life which distinguishes it from the

atoms of other radioactive substances; but such is the distribution

of instability that a constant proportion of the total number of

atoms present is always breaking up. Out of a million atoms of radium

a definite number disintegrates each second, and the proportion has

been proved to be invariable in every case it has been possible to

test. From element to element it is this proportion, and therefore the

average promise of life, which varies. An equilibrium between formation

and transformation is gradually attained, and once it is established

a given quantity of radium produces as many atoms of emanation as the

emanation produces of radium A, and so on. When in equilibrium the

longer-lived radio-elements are present in greater quantity than those

of shorter lives in order to compensate for their comparatively slow

rate of decay, and so to enable them to keep pace with their more

rapidly changing associates.

We may now calculate the average life period of radium. The volume of

emanation in equilibrium with one gram of radium has been measured and

found to be O·58 cubic millimetres—less than the volume of a pin’s

head. The rate of change into radium A also lends itself to direct

measurement, and from these two quantities it can be shown (see Ap. A,

p. 179) that in one year ¹/₂₆₀₀ of the radium originally in existence

must undergo transformation. The same result can be arrived at more

directly. We know the number of atoms in a gram of radium and also the

number of helium atoms expelled in the course of a year. The proportion

which has suffered disruption follows at once, and is found to be

¹/₂₅₀₀.

From evidence of this kind it is concluded that after about 1850 years

only half of any given quantity of radium then maintains its identity

as that element. Now it is clear that radium must have a progenitor by

which it is formed as fast as it decays, or otherwise there could now,

after the lapse of millions of years, be none in existence.

That progenitor is undoubtedly uranium—an element which disintegrates

so slowly that its half-life period is three million times as long

as that of radium. This association is revealed by the study of

radioactive minerals. For every gram of uranium there exists in

equilibrium with it, 3·4 × 10⁻⁷ grams of radium. The constancy of

this proportion points to a genetic connection and admits of no other

interpretation. The generation of radium has been experimentally

verified by Soddy, who observed it after a number of years in a uranium

preparation originally quite free from it. In practice this work is

complicated, and the desired effects are retarded, by the intermediate

production of another radio-element, ionium, which has an average life

many times longer than that of radium. The time taken to establish

equilibrium is therefore very long. The primary minerals from which the

equilibrium ratio of radium to uranium is deduced, have existed

for hundreds of millions of years and so far as they have remained

unaltered by percolating waters they afford a safe guide. But in

secondary minerals, like autunite, the age of which is often to

be reckoned only in thousands of years, the equilibrium stage has

not always been reached, and the ratio between the two elements is

consequently somewhat lower than that found in the older minerals.

In the accompanying diagram the complete family of uranium is

summarised together with the half-life period of each member and the

rays it emits. Another series of elements related in the same way

is derived from thorium which is a parent of even longer life than

uranium. As to the final products of transformation, which, being

stable, ought to survive and in the course of time to accumulate,

helium is the only one which has been directly observed. That lead is

the end product of the uranium series is most probable, as we shall see

in a later chapter. Of the stable element to which the thorium series

ultimately leads we are still in ignorance. Neither lead nor bismuth,

which suggest themselves by their appropriate atomic weights, satisfy

the conditions, for their presence in a mineral bears no relation to

the quantity of thorium (see p. 190).

The actinium group of radio-elements calls for little notice here.

Boltwood finds a fixed ratio between actinium and uranium in minerals,

and the former would therefore appear to be a descendant of uranium

just as radium is. Actinium, however, does not fall in the main line of

descent. There is some probability that it marks the beginning of a

collateral series, also springing from uranium. The proportion of

uranium which disintegrates in this direction rather than towards

radium can only be very small.[12] It is possible that uranium atoms, or

those of one of its products, may be of two different types, according

to their internal structure, and that on disruption each may give rise

to an independent chain of elements.

[Footnote 12: About 8%.]

The heat output of radium and its relation to the energy of the

α-particle has already been mentioned. The first direct measurement

of the heat generated was made by Curie and Laborde. Using suitably

constructed calorimeters, they were able to demonstrate a regular

evolution of about 100 calories in an hour from a gram of radium—heat

enough to raise the temperature of an equal mass of water from freezing

to boiling-point. The radium in these experiments was in radioactive

equilibrium with the emanation and radium A, B and C, so that

altogether four α-particles were disengaged for each atom of radium

which transformed. The approximate correctness of this first estimate

will be seen from the following table, in which the best results up to

date are quoted:

1903. Curie and Laborde 100 }

1904. Rutherford and Barnes 110 } gram calories

1904. Runge and Precht 105 } emitted per

1908. v. Schweidler and Hess 118 } hour per

1909. Duane 120 } gram

1911. Duane 117 } of radium

1912. St. Meyer and Hess 132 }

The correspondence of these results with the theoretical figure, 113

calories, which represents about 85% of the energy,[13] is eminently

satisfactory (see Ap. A, p. 177).

[Footnote 13: Atomic recoil 6%, β-rays 4%, γ-rays 5%, approximately.]

The disintegration theory affords a simple explanation of the origin

of this energy. From the new point of view the atom is no longer

indivisible, no longer the ultimate foundation of all matter; rather is

it regarded as a tiny universe of electrons, a whirling assemblage of

charged particles. These minute entities move with very high velocities

within the atom itself. In general the energy is locked up, but in the

radioactive elements the atomic structure is unstable and from time

to time some of the energy can escape. The intrinsic energy of the

atom itself is the real source of the heat liberated by radium, and

the apparent permanence of its output is simply an expression of the

immense supplies of energy which an atom can store within itself.

The essential features of radioactivity are two: the spontaneous

emission of Becquerel rays, and the atomic character of the change. The

radiation from a radioactive substance is proportional to the quantity

of the substance and to nothing else. Temperature, being a function of

molecular movement, is without influence upon atomic transformation.

Experiments made at temperatures ranging between that of liquid air and

1600° C. show that the same law of disintegration holds throughout.

Similarly, the effect of very high pressures indicates that these

inter-atomic processes are quite independent of any external influence.

Whether in solution or in chemical combination, whether taking part

in energetic chemical reactions or suffering bombardment by its own

radiations, the atom continues to obey the law which determines its

life period, unmoved by any experiences through which we can oblige

it to pass. The radioactive properties are simply superimposed upon

the chemical and other properties of the substance, and as far as

laboratory conditions are concerned, they are entirely spontaneous and

can in no way be affected.

Whether or not radioactivity is a general property of atomic

matter cannot yet be announced. Potassium and rubidium are feebly

radioactive—a thousand times less than uranium—and emit β-rays. It

has been thought that some other metals may share in a minor degree the

same attributes, but up to the present no reliable results have been

forthcoming.

In its geological applications radioactivity possesses a great

interest. The most important bearing of all lies in the part it

plays as a source of terrestrial heat. Radium is widespread amongst

the surface materials of the earth’s crust. Rocks and soils, and

natural waters all contain radium as a constituent, widely diffused

but always present. In the following two chapters the influence of

radio-thermal action in the earth and sun, and on speculations as to

their ages, will be dealt with. Before passing on to these cosmic

aspects of the subject, a brief account may be given of the way in

which minute quantities of radium can be detected and accurately

measured—quantities which in rocks average little more than a

billionth of a gram in each gram of the rock.

Radium itself is not directly dealt with; it is the emanation in

equilibrium with it which is actually measured. The emanation is

separated from a suitable amount of rock, mixed with air, and

introduced into an electroscope. After about three hours, the emanation

has generated radium A, B and C in their equilibrium amounts, and the

emission of three sets of α-particles then steadily proceeds. In the

electroscope, the rate of fall of the changed leaf depends directly on

the conductivity of the air or on the number of ions which are utilised

as carriers of electricity. Now each α-particle, in virtue of its

enormous energy, is capable of producing in air about 100,000 ions, and

the total number present is therefore determined almost wholly by the

number of α-particles. The β- and γ-rays certainly have an ionising

effect, but so small that in this connection it may be ignored. To be

quite sure that all the ions are taking an active part in the discharge

and collapse of the leaf, it is only necessary to observe the latter

before its divergence from the central support falls to less than, say,

10°. The rate of collapse can easily be gauged by observing the leaf

through a microscope with a divided scale attached to the eyepiece,

the time during which the leaf passes over a given number of divisions

being taken with a stop watch. The rate of fall is proportional to

the conductivity, which depends in turn on the number of α-particles

expelled, and therefore on the quantity of emanation present in

the electroscope; this quantity, provided that it was initially in

equilibrium with the radium in the original rock, determines the amount

of that element which was present. A constant can be determined once

for all by experiment with known materials, which directly connects the

rate of fall in scale divisions per hour with the equivalent amount of

radium or uranium in grams. Some idea of the delicacy of the method may

be gained from a particular example. In the apparatus devised by Prof.

Strutt and used both in his own investigations and those of the present

writer, a leakage of one scale division per hour corresponds to 9 ×

10⁻¹³ grams of radium.

To use this apparatus it is necessary to bring the rock into solution

before the emanation can be extracted. The solution is stored up for a

few weeks until the equilibrium amount has been generated and the flask

A containing it is then attached to the water condenser B (Fig. 14).

The emanation can be expelled by vigorous boiling, and greatly diluted

with air, it passes out into the gas-holder C. The stream condenses in

B and drops back. At the end of an hour the cooling water is run out of

B and the steam then drives all the air charged with emanation into C.

In order that none should be allowed to escape back, the connection at

D is closed. Meanwhile the electroscope F has been exhausted and the

emanation is made to pass into it through the tap at E, the gas-holder

being slowly filled with water. After three hours the measurements may

then be made.

[Illustration: FIG. 14.

Apparatus for estimating Radium by its Emanation.]

Joly has recently varied this method in order to save the labour

attending the process of getting a rock into clear solution. The

mixture of finely-powdered rock and fusion mixture is heated in an

electric tube-furnace, and the expelled gases containing the emanation

are drawn straight from the furnace. Carbon-dioxide is absorbed by

soda-lime, and the remaining gas is collected and finally passed

into the electroscope as before. The absence or presence of thorium

makes no appreciable difference in these measurements, for the

life of its emanation is many thousands of times less than that of

radium emanation. Joly has utilised this fact in his solution-method

for determining minute quantities of thorium in rocks and minerals—a

method similar in principle to that described above for radium.

The presence of radioactive elements in rocks sometimes reveals itself

in a most beautiful way. In mica, cordierite, hornblende, chlorite,

tourmaline, and a few other minerals, small circular spots known as

pleochroic haloes are sometimes seen. A tiny crystal can generally be

detected in the centre, usually of zircon, but sometimes of apatite,

epidote, rutile, or sphene. Until quite lately the nature and origin of

these intensely pleochroic spots was entirely unknown. Joly showed in

1907 that they are due to the radioactivity of tiny inclusions around

which they spread spherically outwards. The α-rays discharged from

the minute central crystals are able to ionise the biotite (or other

mineral) and this effect, to which the colouring action is due, spreads

just as far as the α-particle can penetrate. The range of the different

α-particles from the uranium family is given overleaf, both for air and

for biotite.

-----------------------+-----------------------

| RANGE IN MILLIMETRES.

+---------+-------------

SOURCE OF Α-PARTICLE. | |

| IN AIR. | IN BIOTITE.

-----------------------+---------+-------------

Radium C | 70·6 | 0·033

Radium A | 48·3 | 0·023

Ra. Emanation | 42·3 | 0·020

Radium F | 38·6 | 0·018

Radium | 35·4 | 0·017

Ionium | 28·0 | 0·013

Uranium 1 and 2 | 27·0 | 0·013

-----------------------+---------+-------------

Now Bragg has shown that the ionising effect of an α-particle is

greatest just before it comes to rest. We should therefore expect to

find a number of intensely coloured spherical shells existing around

the central crystal and corresponding in each case to one or other of

the range limits here given. In section, and magnified 700 diameters,

the appearance of the shells would be as in the following diagram.

[Illustration: FIG. 15.

Pleochroic Haloes in Biotite due to Uranium and its transformation

products. Magnified 700 diameters.]

The dimensions of the actual haloes are exactly in agreement with

the distances to which the different α-particles can travel, and

occasionally the successive spheres of ionisation and colouring are

beautifully developed. In the biotite of Co. Carlow granite, Joly has

found several very perfect examples, and by his courtesy four of his

photographs are reproduced in the Frontispiece. Not only is the proof

that the haloes are due to α-rays conclusive beyond question, but

the correctness of Bragg’s laws from which the range in biotite is

calculated are established in an unexpected way. Thorium haloes are

also found (as in Fig. 2, upper left-hand part of the field), and these

again have diameters in perfect accord with the demands of theory.

A point of interest in the history of igneous rocks is that the haloes

disappear when the rock is heated. The presence of well-formed haloes,

therefore, implies the maintenance for very long periods of fairly

uniform conditions. So slowly do these haloes form that it may become

possible, when they have been further investigated, to give a rough

minimum estimate of the age of the minerals in which they occur. The

radioactivity of a zircon is much more intense than that of the rock

enclosing it, but the smallness of the quantities involved is such

that two or three weeks may elapse between the expulsion of successive

α-particles or helium atoms. By the accumulative effects of millions

of these atoms a spherical halo, faint in youth, but assuming a deeper

tint with age, is gradually produced.

The age of the Earth · 第 7 / 11 章