This apparent constancy of the total radiation follows from the general

result that the radio-active processes cannot in any way be changed by

the action of known forces. It may be recalled that the constant of

decay of the activity of a radio-active product has a definite fixed

value under all conditions. It is independent of the concentration of

the active matter, of the pressure, and of the nature of the gas in

which the substance is placed, and it is not affected by wide ranges of

temperature. The only observed exception is the product radium C. Its

value of λ increases with temperature to some extent at about 1000° C.,

but at 1200° C. returns nearly to the normal value. In the same way, it

has not been found possible to alter the rate of production of active

matter from the radio-elements. In addition, there is not a single

well-authenticated case where radio-activity has been altered or

destroyed in any active body or created in an inactive element.

Certain cases have been observed, which at first sight seem to indicate

a destruction of radio-activity. For example, the excited radio-activity

is removed from a platinum wire when heated above a red heat. It has

been shown, however, by Miss Gates (section 187) that the radio-activity

is not destroyed, but is deposited in unaltered amount on the colder

bodies surrounding it. Thorium oxide has been shown to lose to a large

extent its power of emanating by ignition to a white heat. But a close

examination shows that the emanation is still being produced at the same

rate, but is occluded in the compound.

The total radio-activity of a given mass of a radio-element, measured by

the peculiar radiations emitted, is a quantity which can neither be

increased nor diminished, although it may be manifested in a series of

products which are capable of separation from the radio-element. The

term “conservation of radio-activity” is thus a convenient expression of

the facts known at the present time. It is quite possible, however, that

further experiments at very high or very low temperatures may show that

the radio-activity does vary.

Although no difference has been observed in the radio-activity of

uranium over an interval of five years, it has been shown (section

261) that on theoretical grounds the radio-activity of a _given

quantity_ of a radio-element should decrease with the time. The change

will, however, be so slow in uranium, that probably millions of

years must elapse before a measurable change can take place, while the

total radio-activity of a given quantity of matter left to itself should

thus decrease, but it ought to be constant for a _constant mass_ of the

radio-element. It has already been pointed out (section 238) that the

activity of radium, measured by the α and β rays, will probably increase

for several hundred years after its separation. This is due to the

appearance of fresh products in the radium. Ultimately, however, the

activity must decrease according to an exponential law with the time,

falling to half value in about 1300 years.

The conservation of radio-activity applies not only to the radiations

taken as a whole, but also to each specific type of radiation. If the

emanation is removed from a radium compound, the amount of β radiation

of the radium at once commences to decrease, but this is compensated by

the appearance of β rays in the radiations from the vessel in which the

separated emanation is stored. At any time the sum total of the β

radiations from the radium and the emanation vessel is always the same

as that from the radium compound before the emanation was removed.

Similar results have also been found to hold for the γ rays. This was

tested by the writer in the following way. The emanation from some solid

radium bromide was released by heat, and condensed in a small glass tube

which was then sealed off. The radium so treated, and the emanation

tube, were placed together under an electroscope, with a screen of lead

1 cm. thick interposed in order to let through only the γ rays. The

experiments were continued over three weeks, but the sum total of the γ

rays from the radium and the emanation tube was, over the whole

interval, equal to that of the original radium. During this period the

amount of γ rays from the radium at first decreased to only a few per

cent. of the original value, and then slowly increased again, until at

the end of the three weeks it had nearly regained its original value,

before the emanation was removed. At the same time the amount of γ rays

from the emanation tube rose from zero to a maximum and then slowly

decreased again at the same rate as the decay of the activity of the

emanation in the tube. This result shows that the amount of γ rays from

radium was a constant quantity over the interval of observation,

although the amount of γ rays from the radium and emanation tube had

passed through a cycle of changes.

There is one interesting possibility in this connection that should be

borne in mind. The rays from the active substances carry off energy in a

very concentrated form, and this energy is dissipated by the absorption

of the rays in matter. The rays might be expected to cause a

disintegration of the atoms of inactive matter on which they fall and

thus give rise to a kind of radio-activity. This effect has been looked

for by several observers. Ramsay and W. T. Cooke[361] state that they

have noticed such an action, using about a decigram of radium as a

source of radiation. The radium, sealed in a glass vessel, was

surrounded by an external glass tube and exposed to the action of the β

and γ rays of radium for several weeks. The inside and outside of the

glass tube were found to be active, and the active matter was removed by

solution in water. The radio-activity observed was very minute,

corresponding to only about 1 milligram of uranium. The writer has, at

various times, tried experiments of this character but with negative

results. The greatest care is necessary in such experiments to ensure

that the radio-activity is not due to other causes besides the rays from

the radium. This care is especially necessary in laboratories where

considerable quantities of the radium emanation have been allowed to

escape into the air. The surface of every substance becomes coated with

the slow transformation products of radium, viz. radium D, E, and F. The

activity communicated in this way to originally inactive matter is often

considerable. This infection by the radium emanation extends throughout

the whole laboratory, on account of the distribution of the emanation by

convection and diffusion. For example, Eve[362] found that every

substance which he examined in the laboratory of the writer showed much

greater activity than the normal. In this case the radium had been in

use in the building for about two years.

=265. Loss of weight of the radio-elements.= Since the radio-elements

are continually throwing off α particles atomic in size, an active

substance, enclosed in a vessel sufficiently thin to allow the α

particles to escape, must gradually lose in weight. This loss of weight

will be small under ordinary conditions, since the greater proportion of

the α rays produced are absorbed in the mass of the substance. If a very

thin layer of a radium compound were spread on a very thin sheet of

substance, which did not appreciably absorb the α particles, a loss of

weight due to the expulsion of α particles might be detectable. Since

_e_/_m_ = 6 × 10³ for the α particle and _e_ = 1·1 × 10⁻²⁰

electromagnetic units and 2·5 × 10¹¹ α particles are expelled per

second per gram of radium, the proportion of the mass expelled is 4·8 ×

10⁻¹³ per second and 10⁻⁵ per year. There is one condition, however,

under which the radium should lose in weight fairly rapidly. If a

current of air is slowly passed over a radium solution, the emanation

produced would be removed as fast as it was formed. Since the atom of

the emanation has a mass probably not much smaller than the radium atom,

the fraction of the mass removed per year should be nearly equal to the

fraction of the radium which changes per year, _i.e._ one gram of radium

should diminish in weight about half a milligram (section 261) per year.

If it is supposed that the β particles have weight, the loss of weight

due to their expulsion is very small compared with that due to the

emission of α particles. The writer has shown (section 253) that about

7 × 10¹⁰ β particles are projected per second from 1 gram of radium.

The consequent loss of weight would only be about 10⁻⁹ grams per year.

Except under very special experimental conditions, it would thus be

difficult to detect the loss of weight of radium due to the expulsion of

β particles from its mass. There is, however, a possibility that radium

might change in weight even though none of the radio-active products

were allowed to escape. For example, if the view is taken that

gravitation is the result of forces having their origin in the atom, it

is possible that, if the atom were disintegrated, the weight of the

parts might not be equal to that of the original atom.

A large number of experiments have been made to see if radium

preparations, kept in a sealed tube, alter in weight. With the small

quantities of radium available to the experimenter, no difference of

weight of radium preparations with time has yet been established with

certainty. Heydweiller stated that he had observed a loss of weight of

radium and Dorn also obtained a slight indication of change in weight.

These results have not, however, been confirmed. Forch, later, was

unable to observe any appreciable change.

J. J. Thomson[363] has made experiments to see if the ratio of weight to

mass for radium is the same as for inactive matter. We have seen in

section 48 that a charge in motion possesses an apparent mass which is

constant for slow speeds but increases as the speed of light is

approached. Now radium emits some electrons at a velocity comparable

with the velocity of light, and presumably these electrons were in rapid

motion in the atom before their expulsion. It might thus be possible

that the ratio for radium would differ from that for ordinary matter.

The pendulum method was used, and the radium was enclosed in a small

light tube suspended by a silk fibre. Within the limit of experimental

error the ratio of weight to mass was found to be the same as for

ordinary matter, so that we may conclude that the number of electrons

moving with a velocity approaching that of light is small compared with

the total number present.

=266. Total emission of energy from the radio-element.= It has been

shown that 1 gram of radium emits energy at the rate of 100

gram-calories per hour or 876,000 gram-calories per year. If 1 gram of

radium in radio-active equilibrium be set apart, its radio-activity and

consequent heat emission is given at a time _t_ by

$$ qe^{–λt} $$,

where λ is the constant of decay of activity of radium and of the

initial heating effect; the total heat emission from 1 gram of radium is

given by

$$ \int₀^{\infty} qe^{–λt} dt = \frac {q} {λ} $$ .

Now on the estimate of the life of radium given in section 261 the value

of λ is ¹⁄₁₈₅₀ when 1 year is taken as the unit of time. The total heat

emission from 1 gram of radium during its life is thus 1·6 × 10⁹

gram-calories. The heat emitted in the union of hydrogen and oxygen to

form 1 gram of water is about 4 × 10³ gram-calories, and in this

reaction more heat is given out for equal weights than in any other

chemical reaction known. It is thus seen that the total energy emitted

from 1 gram of radium during its changes is about one million times

greater than in any known molecular change. That matter is able, under

special conditions, to emit an enormous amount of energy, is well

exemplified by the case of the radium emanation. Calculations of the

amount of this energy have already been given in section 249.

Since the other radio-elements only differ from radium in the slowness

of their change, the total heat emission from uranium and thorium must

be of a similar high order of magnitude. There is thus reason to believe

that there is an enormous store of latent energy resident in the atoms

of the radio-elements. This store of energy could not have been

recognized if the atoms had not been undergoing a slow process of

disintegration. The energy emitted in radio-active changes is derived

from the internal energy of the atoms. The emission of this energy does

not disobey the law of the conservation of energy, for it is only

necessary to suppose that, when the radio-active changes have ceased,

the energy stored up in the atoms of the final products is less than

that of the original atoms of the radio-elements. The difference between

the energy originally possessed by the matter which has undergone the

change, and the final inactive products which arise, is a measure of the

total amount of energy released.

There seems to be every reason to suppose that the atomic energy of all

the elements is of a similar high order of magnitude. With the exception

of their high atomic weights, the radio-elements do not possess any

special chemical characteristics which differentiate them from the

inactive elements. The existence of a latent store of energy in the

atoms is a necessary consequence of the modern view developed by J. J.

Thomson, Larmor, and Lorentz, of regarding the atom as a complicated

structure consisting of charged parts in rapid oscillatory or orbital

motion in regard to one another. The energy may be partly kinetic and

partly potential, but the mere concentration of the charged particles,

which probably constitute the atom, in itself implies a large store of

energy in the atom, in comparison with which the energy emitted during

the changes of radium is insignificant.

The existence of this store of latent energy does not ordinarily

manifest itself, since the atoms cannot be broken up into simpler forms

by the physical or chemical agencies at our disposal. Its existence at

once explains the failure of chemistry to transform the atoms, and also

accounts for the rate of change of the radio-active processes being

independent of all external agencies. It has not so far been found

possible to alter in any way the rate of emission of energy from the

radio-elements. If it should ever be found possible to control at will

the rate of disintegration of the radio-elements, an enormous amount of

energy could be obtained from a small quantity of matter.

=267. Production of helium from radium and the radium emanation.= Since

the final products, resulting from a disintegration of the

radio-elements, are not radio-active, they should in the course of

geologic ages collect in some quantity, and should always be found

associated with the radio-elements. Now the inactive products resulting

from the radio-active changes are the α particles expelled at each

stage, and the final inactive product or products which remain, when the

process of disintegration can no longer be traced by the property of

radio-activity.

Pitchblende, in which the radio-elements are mostly found, contains in

small quantity a large proportion of all the known elements. In

searching for a possible disintegration product common to all the

radio-elements, the presence of helium in the radio-active minerals is

noteworthy; for helium is only found in the radio-active minerals, and

is an invariable companion of the radio-elements. Moreover, the presence

in minerals of a light, inert gas like helium had always been a matter

of surprise. The production by radium and thorium of the radio-active

emanations, which behave like chemically inert gases of the helium-argon

family, suggested the possibility that one of the final inactive

products of the disintegration of the radio-elements might prove to be a

chemically inert gas. The later discovery of the material nature of the

α rays added weight to the suggestion; for the measurement of the ratio

_e_/_m_ of the α particle indicated that if the α particle consisted of

any known kind of matter, it must either be hydrogen or helium. For

these reasons, it was suggested in 1902 by Rutherford and Soddy[364]

that helium might be a product of the disintegration of the

radio-elements.

Sir William Ramsay and Mr Soddy in 1903 undertook an investigation of

the radium emanation, with the purpose of seeing if it were possible to

obtain any spectroscopic evidence of the presence of a new substance.

First of all, they exposed the emanation to very drastic treatment

(section 158), and confirmed and extended the results previously noted

by Rutherford and Soddy that the emanation behaved like a chemically

inert gas, and in this respect possessed properties analogous to the

gases of the helium-argon group.

On obtaining 30 milligrams of pure radium bromide (prepared about three

months previously) Ramsay and Soddy[365] examined the gases, liberated

by solution of the radium bromide in water, for the presence of helium.

A considerable quantity of hydrogen and oxygen was released by the

solution (see section 124). The hydrogen and oxygen were removed by

passing the liberated gases over a red-hot spiral of partially

oxidized copper-wire and the resulting water vapour was absorbed in

a phosphorus pentoxide tube.

The gas was then passed into a small vacuum tube which was in connection

with a small =U= tube. By placing the =U= tube in liquid air, most of

the emanation present was condensed, and also most of the CO₂ present in

the gas. On examining the spectrum of the gas in the vacuum tube, the

characteristic line _D₃_ of helium was observed.

This experiment was repeated with 30 milligrams of radium bromide about

four months old, lent for the purpose by the writer. The emanation and

CO₂ were removed by passing them through a =U= tube immersed in liquid

air. A practically complete spectrum of helium was observed, including

the lines of wave-lengths 6677, 5876, 5016, 4972, 4713 and 4472. There

were also present three other lines of wave-lengths about 6180, 5695,

5455 which have not yet been identified.

In later experiments, the emanation from 50 milligrams of the radium

bromide was conveyed with oxygen into a small =U= tube, cooled in liquid

air, in which the emanation was condensed. Fresh oxygen was added, and

the =U= tube again pumped out. The small vacuum tube, connected with the

=U= tube, showed at first no helium lines when the liquid air was

removed. The spectrum obtained was a new one, and Ramsay and Soddy

considered it to be probably that of the emanation itself. After

allowing the emanation tube to stand for four days, the helium spectrum

appeared with all the characteristic lines, and in addition, three new

lines present in the helium obtained by solution of the radium. These

results have since been confirmed. The experiments, which have led to

such striking and important results, were by no means easy of

performance, for the quantity of helium and of emanation released from

50 mgrs. of radium bromide is extremely small. It was necessary, in all

cases, to remove almost completely the other gases, which were present

in sufficient quantity to mask the spectrum of the substance under

examination. The success of the experiments has been largely due to the

application, to this investigation, of the refined methods of gas

analysis, previously employed by Sir William Ramsay with so much skill

in the separation of the rare gases xenon and krypton, which exist in

minute proportions in the atmosphere. The fact that the helium spectrum

was not present at first, but appeared _after_ the emanation had

remained in the tube for some days, shows that the helium must have been

produced from the emanation. The emanation cannot be helium itself, for,

in the first place, helium is not radio-active, and in the second place,

the helium spectrum was not present at first, when the quantity of

emanation in the tube was at its maximum. Moreover, the diffusion

experiments, already discussed, point to the conclusion that the

emanation is of high molecular weight. There can thus be no doubt that

the helium is derived from the emanation of radium in consequence of

changes of some kind occurring in it.

These results were confirmed later by other observers. Curie and

Dewar[366] performed the following experiment: A weight of about ·42 gr.

of radium bromide was placed in a quartz tube, and the tube exhausted

until no further gas came off. The radium was then heated to fusion,

about 2·6 c.c. of gas being liberated in the process. The tube was then

sealed, and some weeks afterwards the spectrum of the gas liberated in

the tube by the radium was examined by Deslandres and found to give the

entire spectrum of helium. The gas, liberated during the initial heating

of the radium, was collected and found to contain a large amount of

emanation, although the gas had been passed through two tubes immersed

in liquid air. The tube containing these gases was very luminous and

rapidly turned violet, while more than half of the gases was absorbed.

The spectrum of the phosphorescent light was found to be discontinuous,

consisting of three nitrogen bands. No sign of the helium spectrum was

observed, although helium must have been present.

Himstedt and Meyer[367] placed 50 mgrs. of radium bromide in a =U= tube

connected with a small vacuum tube. The tube was carefully exhausted and

then sealed off. The spectrum of hydrogen and carbon dioxide alone was

observed for three months, but after four months the red, yellow, green

and blue lines of the helium spectrum were visible. The slow appearance

of the helium spectrum was probably due to the presence in the tube of a

considerable quantity of hydrogen. In another experiment, some radium

sulphate which had been heated to a bright red heat in a quartz tube was

connected with a small vacuum tube. After three weeks, some of the lines

of helium were clearly seen, and increased in brightness with time.

=268. Connection between helium and the α particles=. The appearance of

helium in a tube containing the radium emanation may indicate either

that the helium is one of the final products, which appear at the end of

the series of radio-active changes, or that the helium is in reality the

expelled α particle. The evidence at present points to the latter as

being the more probable explanation. In the first place, the emanation

diffuses like a gas of heavy molecular weight, and it appears probable

that after the expulsion of a few α particles, the atomic weight of the

final product is comparable with that of the emanation. On the other

hand, the value of _e_/_m_ determined for the projected α particle

points to the conclusion that, if it consists of any known kind of

matter, it is either hydrogen or helium.

There has been a tendency to assume that the helium produced from the

radium emanation is the last transformation product of that substance.

The evidence, however, does not support this view. We have seen that the

emanation, after the initial rapid changes, is transformed very slowly.

If the helium were the final product, the amount present in the

emanation tube after a few days or weeks would be insignificant, since

the product radium D intervenes, which takes 40 years to be half

transformed. Since the helium cannot be the final product of the series

of changes, and since all the other products are radio-active, and

almost certainly of high atomic weight, it is difficult to see what

position the helium atom occupies in the scheme of transformation,

unless it be the α particle expelled during the successive changes.

It is a matter of great difficulty to settle definitely whether the α

particle is a projected helium atom or not. On account of the very small

deflection of the α rays in an electric field, and the complex nature of

the α radiation from radium, an accurate determination of the value

_e_/_m_ for the α particle is beset with difficulties.

It may be possible to settle the question by accurate measurements of

the volume of gas in a tube, filled originally with the radium

emanation. Since the emanation itself, and two of the rapidly changing

products which result from it, emit α particles, the final volume of the

α particles, if they can exist in the gaseous state, would be three

times the volume of the emanation. Ramsay and Soddy (section 172) have

made experiments of this kind, but the results obtained were very

contradictory, depending upon the kind of glass employed. In one case,

the volume of the residual gases shrank almost to zero, in another the

initial volume increased to about ten times its initial value. In the

latter experiment a brilliant spectrum of helium was observed in the

residual gas. This difference of behaviour is probably due to different

degrees of absorption of helium by the glass tubes.

If the α particles are helium atoms, we may expect that a large

proportion of the helium, which is produced in a tube containing the

radium emanation, will be buried in the wall of the glass tube; for the

α particles are projected with sufficient velocity to penetrate some

distance into the glass. This helium may either remain in the glass, or

in some cases rapidly diffuse out again. In any case, a fraction of the

helium would be liberated when an intense electric discharge is passed

through the tube. Ramsay and Soddy have in some instances observed that

a slight amount of helium is liberated on heating the walls of the tube

in which the emanation had been stored for some time.

The volume of helium produced per year by 1 gram of radium can easily be

calculated on the assumption that the α particle is in reality a helium

atom.

It has been shown that 2·5 × 10¹¹ α particles are projected per second

from 1 gram of radium. Since there are 3·6 × 10¹⁹ molecules in one cubic

centimetre of any gas at standard pressure and temperature, the volume

of the α particles released per second is 7 × 10⁻⁹ c.c. and per year

0·24 c.c. It has already been pointed out that, on this hypothesis, the

volume of helium released by the emanation is three times the volume of

the latter. The amount of helium to be obtained from the emanation

released from 1 gram of radium in radio-active equilibrium is thus about

3 cubic mms.

Ramsay and Soddy have tried to estimate experimentally the probable

volume of helium produced per second by one gram of radium. The helium,

obtained from 50 mgrs. of radium bromide, which had been kept in

solution in a closed vessel for 60 days, was introduced into a vacuum

tube. Another similar tube was placed in series with it, and the amount

of the helium in the latter adjusted until on passing a discharge

through the two tubes in series the helium lines in each tube were of

about the same brightness. In this way they calculated that the amount

of helium present was 0·1 cubic mm. On this estimate, the amount of

helium produced per year per gram of radium is about 20 cubic mms. We

have seen that the calculated amount is about 240 cubic mms., on the

assumption that the α particle is a helium atom. Ramsay and Soddy

consider that the presence of argon in one of the tubes may have

seriously interfered with the correctness of the estimation. On account

of the great uncertainty attaching to estimates of the above character,

the value deduced by Ramsay and Soddy does not exclude the probability

that the calculated volume may be of the right order of magnitude.

In order to explain the presence of helium in radium on ordinary

chemical lines, it has been suggested that radium is not a true element,

but a molecular compound of helium with some substance known or unknown.

The helium compound gradually breaks down, giving rise to the helium

observed. It is at once obvious that this postulated helium compound is

of a character entirely different from that of any other compound

previously observed in chemistry. Weight for weight, it emits during its

change an amount of energy at least one million times greater than any

molecular compound known (see section 249). In addition, it must be

supposed that the rate of breaking up of the helium compound is

independent of great ranges of temperature—a result never before

observed in any molecular change. The helium compound in its breaking up

must give rise to the peculiar radiations and also pass through the

successive radio-active changes observed in radium.

Thus in order to explain the production of helium and radio-activity on

this view, a unique kind of molecule must be postulated—a molecule, in

fact, which is endowed with every single property which on the

disintegration theory is ascribed to the atom of the radio-elements. On

the other hand, radium as far as it has been examined, has fulfilled

every test required for an element. It has a well-marked and

characteristic spectrum, and there is no reason to suppose that it is

not an element in the ordinarily accepted sense of the term.

On the theory that the radio-elements are undergoing atomic

disintegration, the helium must be considered to be a constituent of the

radium atom, or, in other words, the radium atom is built up of parts,

one of which, at least, is the atom of helium. The theory that the heavy

atoms are all built up of some simple fundamental unit of matter or

protyle has been advanced at various times by many prominent chemists

and physicists. Prout’s hypothesis that all elements are built up out of

hydrogen is an example of this point of view of regarding the subject.

On the disintegration theory, the changes occurring in the radio-atoms

involve an actual transformation of the atoms through successive

changes. This change is so slow in uranium and thorium that at least a

million years would be required before the amount of change could be

measured by the balance. In radium it is a million times faster, but

even in this case it is doubtful whether any appreciable change would

have been observed by ordinary chemical methods for many years had not

the possibility of such a change been suggested from other lines of

evidence.

The similarity of the α particles from the different radio-elements

indicates that they consist of expelled particles of the same kind. On

this view, helium should be produced by each of the radio-elements. Its

presence in minerals containing thorium, for example in monazite sand

and the Ceylon mineral described by Ramsay, indicates that helium may be

a product of thorium as well as of radium. Strutt[368] has recently

suggested that most of the helium observed in radio-active minerals may

be a decomposition product of thorium rather than of uranium and radium;

for he finds that minerals rich in helium always contain thorium, while

many uranium minerals nearly free from thorium contain little helium.

The evidence in support of this view is, however, not altogether

satisfactory, for some of the uranium minerals in question are secondary

uranium minerals (see Appendix B), deposited by the action of water or

other agencies at a comparatively late date, and are also, in many

cases, highly emanating, and consequently could not be expected to

retain more than a fraction of the helium produced in them.

Taking the view that the α particles are projected helium atoms, we must

regard the atoms of the radio-elements as compounds of some known or

unknown substance with helium. These compounds break up spontaneously,

and at a very slow rate even in the case of radium. The disintegration

takes place in successive stages, and at most of the stages a helium

atom is projected with great velocity. This disintegration is

accompanied by an enormous emission of energy. The liberation of such a

large amount of energy in the radio-active changes at once explains the

constancy of the rate of change under the action of any of the physical

and chemical agencies at our command. On this view, uranium, thorium and

radium are in reality compounds of helium. The helium, however, is held

in such strong combination that the compound cannot be broken up by

chemical or physical forces, and, in consequence, these bodies behave as

chemical elements in the ordinary accepted chemical sense.

It appears not unlikely that many of the so-called chemical elements may

prove to be compounds of helium, or, in other words, that the helium

atom is one of the secondary units with which the heavier atoms are

built up. In this connection it is of interest to note that many of the

elements differ in their atomic weight by four—the atomic weight of

helium.

If the α particle is a helium atom, at least three α particles must be

expelled from uranium (238·5) to reduce its atomic weight to that of

radium (225). It is known that five α particles are expelled from radium

during its successive transformations. This would make the atomic weight

of the final residue 225 − 20 = 205. This is very nearly the atomic

weight of lead, 206·5. I have, for some time, considered it probable

that lead is the end or final product of radium. The same suggestion has

recently been made by Boltwood[369]. This point of view is supported by

the fact that lead is always found in small quantity in all uranium

minerals, and that the relative proportions of lead and helium in the

radio-active minerals are about the same as would be expected if lead

and helium were both decomposition products of radium. Dr Boltwood has

drawn my attention to the fact that the proportion of lead in many

radio-active minerals varies with the content of helium. A mineral rich

in helium in nearly all cases contains more lead than a mineral poor in

helium. This cannot be considered, at present, more than a speculation,

but the facts as they stand are very suggestive.

=269. Age of radio-active minerals.= Helium is only found in the

radio-active minerals, and this fact, taken in conjunction with the

liberation of helium by radium, indicates that the helium must have been

produced as a result of the transformation of radium and the other

radio-active substances contained in the minerals. Now in a mineral

about half the helium is, in many cases, released by heat and the

residue by solution. It seems probable that the helium produced

throughout the mass of the mineral is mechanically imprisoned in it.

Moss[370] found that, by grinding pitchblende in vacuo, helium is

evolved, apparently showing that the helium exists in cavities of the

mineral. Travers[371] has suggested that, since helium is liberated on

heating, the effect may be due to the heat generated by grinding. The

escape of the helium from the heated mineral is probably connected with

the fact observed by Jaquerod[372] that helium passes through the walls

of a quartz tube, heated above 500° C. The substance of the mineral

probably possesses a similar property. Travers considers that helium is

present in the mineral in a state of supersaturated solid solution, but

the facts are equally well explained by assuming that the helium is

mechanically imprisoned in the mass of the mineral.

The sudden rise of temperature observed in the mineral fergusonite, at

the time the helium is released, has been found to have nothing to do

with the presence of helium, for it also takes place in minerals not

containing helium. The old view that helium was in a state of chemical

combination with the mineral must be abandoned in the light of these

more recent experiments.

Since the helium is only released from some minerals by the action of

high temperatures and solution, it appears probable that a large

proportion of the helium found in the minerals is unable to escape under

normal conditions. Thus if the rate of production of helium by the

radio-active substance were definitely known, it should be possible to

calculate the age of the mineral by observing the volume of helium

liberated from it by solution.

In the absence of such definite information, an approximate calculation

will be made to indicate the order of magnitude of the time that has

elapsed since the mineral was formed or was at a temperature low enough

to prevent the escape of the helium.

Let us take, for example, the mineral fergusonite, which was found by

Ramsay and Travers[373] to evolve 1·81 c.c. of helium. The fergusonite

contained about 7 per cent. of uranium. Now uranium in old minerals

probably contains about 8 × 10⁻⁷ of its weight of radium (see section

262). One gram of the mineral thus contained about 5·6 × 10⁻⁸ grams of

radium. Now if the α particle is helium, it has been shown that 1 gram

of radium produces 0·24 c.c. of helium per year. The volume of helium

produced per year in 1 gram of fergusonite is thus 1·3 × 10⁻⁸ c.c.

Assuming that the rate of production of helium has been uniform, the

time required to produce 1·81 c.c. per gram is about 140 million years.

If the calculated rate of production of helium by radium is an

over-estimate, the time is correspondingly lengthened.

I think that, when the constants required for these calculations are

more definitely fixed, this method will probably give fairly trustworthy

information as to the probable age of some of the radio-active minerals

of the earth’s crust, and indirectly as to the age of the strata in

which they are found.

In this connection it is of interest to note that Ramsay[374] found that

a Ceylon mineral, thorianite, contained as much as 9·5 c.c. of helium

per gram. According to the analysis by Dunstan, this mineral contains

about 76 per cent. of thorium and 12 per cent. of uranium. The unusually

large amount of helium evolved from this mineral would indicate that it

was formed at an earlier date than the fergusonite previously

considered.

=270. Possible causes of disintegration.= In order to explain the

phenomena of radio-activity, it has been supposed that a certain small

fraction of the radio-atoms undergoes disintegration per second, but no

assumptions have been made as to the cause which produces the

instability and consequent disintegration. The instability of the atoms

may be supposed to be brought about either by the action of external

forces or by that of forces inherent in the atoms themselves. It is

conceivable, for example, that the application of some slight external

force might cause instability and consequent disintegration, accompanied

by the liberation of a large amount of energy, on the same principle

that a detonator is necessary to start some explosives. It has been

shown that the number of atoms of any radio-active product which break

up per second is always proportional to the number present. This law of

change does not throw any light on the question, for it would be

expected equally on either hypothesis. It has not been found possible to

alter the rate of change of any product by the application of any known

physical or chemical forces, unless possibly it is assumed that the

force of gravitation which is not under our control may influence in

some way the stability of the radio-atoms.

It seems likely therefore that the cause of the disruption of the atoms

of the radio-elements and their products resides in the atoms

themselves. According to the modern views of the constitution of the

atom, it is not so much a matter of surprise that some atoms

disintegrate as that the atoms of the elements are so permanent as they

appear to be. In accordance with the hypothesis of J. J. Thomson, it may

be supposed that the atoms consist of a number of small positively and

negatively charged particles in rapid internal movement, and held in

equilibrium by their mutual forces. In a complex atom, where the

possible variations in the relative motion of the parts are very great,

the atom may arrive at such a phase that one part acquires sufficient

kinetic energy to escape from the system, or that the constraining

forces are momentarily neutralised, so that the part escapes from the

system with the velocity possessed by it at the instant of its release.

Sir Oliver Lodge[375] has advanced the view that the instability of the

atom may be a result of radiation of energy by the atom. Larmor has

shown that an electron, subject to acceleration, radiates energy at a

rate proportional to the square of its acceleration. An electron moving

uniformly in a straight line does not radiate energy, but an electron,

constrained to move in a circular orbit with constant velocity, is a

powerful radiator, for in such a case the electron is continuously

accelerated towards the centre. Lodge considered the simple case of a

negatively charged electron revolving round an atom of mass relatively

large but having an equal positive charge and held in equilibrium by

electrical forces. This system will radiate energy, and, since the

radiation of energy is equivalent to motion in a resisting medium, the

particle tends to move towards the centre, and its speed consequently

increases. The rate of radiation of energy will increase rapidly with

the speed of the electron. When the speed of the electron becomes very

nearly equal to the velocity of light, according to Lodge, another

effect supervenes. It has been shown (section 82) that the apparent mass

of an electron increases very rapidly as the speed of light is

approached, and is theoretically infinite at the speed of light. There

will be at this stage a sudden increase of the mass of the revolving

atom, and, on the supposition that this stage can be reached, a

consequent disturbance of the balance of forces holding the system

together. Lodge considers it probable that, under these conditions, the

parts of the system will break asunder and escape from the sphere of one

another’s influence.

It seems probable that the primary cause of the disintegration of the

atom must be looked for in the loss of energy of the atomic system due

to electromagnetic radiation (section 52). Larmor[376] has shown that

the condition to be fulfilled in order that a system of rapidly moving

electrons may persist without loss of energy is that the vector sum of

the accelerations towards the centre should be permanently zero. While a

single electron moving in a circular orbit is a powerful radiator of

energy, it is remarkable how rapidly the radiation of energy diminishes

if several electrons are revolving in a ring. This has recently been

shown by J. J. Thomson[377], who examined mathematically the case of a

system of negatively electrified corpuscles, situated at equal intervals

round the circumference of a circle, and rotating in one plane with

uniform velocity round its centre. For example, he found that the

radiation from a group of six particles moving with a velocity of ⅒

of the velocity of light is less than one-millionth part of the

radiation from a single particle describing the same orbit with the same

velocity. When the velocity is ¹⁄₁₀₀ of that of light the amount of

radiation is only 10⁻¹⁶ that of a single particle moving with the same

velocity in the same orbit.

Results of this kind indicate that an atom consisting of a large number

of revolving electrons may radiate energy extremely slowly, and yet,

finally, this minute but continuous drain of energy from the atom must

result either in a rearrangement of its component parts into a new

system, or of an expulsion of electrons or groups of electrons from the

atom.

Simple models of atoms to imitate the behaviour of polonium in shooting

out α particles, and of radium in shooting out β particles have been

discussed by Lord Kelvin[378]. It is possible to devise certain stable

arrangements of the positively and negatively electrified particles,

supposed to constitute an atom, which, on the application of some

disturbing force, break up with the expulsion of a part of the system

with great velocity.

J. J. Thomson[379] has mathematically investigated the possible stable

arrangements of a number of electrons moving about in a sphere of

uniform positive electrification. The properties of such a model atom

are very striking, and indirectly suggest a possible explanation of the

periodic law in chemistry. He has shown that the electrons, if in one

plane, arrange themselves in a number of concentric rings; and

generally, if they are not constrained to move in one plane, in a number

of concentric shells like the coats of an onion.

The mathematical problem is much simplified if the electrons are

supposed to rotate in rings in one plane, the electrons in each ring

being arranged at equal angular intervals. The ways in which the number

of electrons group themselves, for numbers ranging from 60 to 5 at

intervals of 5, are shown in the following table:—

Number 60 55 50 45 40 35

of

electrons

Number in 20 19 18 17 16 16

successive

rings

16 16 15 14 13 12

13 12 11 10 8 6

8 7 5 4 3 1

3 1 1

Number 30 25 20 15 10 5

of

electrons

Number in 15 13 12 10 8 5

successive

rings

10 9 7 5 2

5 3 1

In the next table is given the possible series of arrangements of

electrons which can have an outer ring of 20:—

Number 59 60 61 62 63 64 65 66 67

of

electrons

Number in 20 20 20 20 20 20 20 20 20

successive

rings

16 16 16 17 17 17 17 17 17

13 13 13 13 13 13 14 14 15

8 8 9 9 10 10 10 10 10

2 3 3 3 3 4 4 5 5

The smallest number of electrons which can have an outer ring of 20 is

59, while 67 is the greatest.

The various arrangements of electrons can be classified into families,

in which the groupings of the electrons have certain features in common.

Thus the group of 60 electrons consists of the same arrangement of

electrons as the group of 40 with the addition of an outer ring of 20

electrons; the group of 40 is the same as the group of 24 with an

additional ring outside; and the group of 24 in turn is the same as the

group of 11 with an extra ring. A series of model atoms may be formed in

this way, in which each atom is derived from the preceding member by an

additional ring of electrons. Such atoms would be expected to possess

many properties in common, and would correspond to the elements in the

same vertical column of the periodic table of Mendeléef.

Different arrangements of electrons vary widely in stability. Some may

acquire an extra electron or two and yet remain stable, others readily

lose an electron without disturbing their stability. The former would

correspond to an electro-negative atom, the latter to an

electro-positive.

Certain arrangements of electrons are stable if the electrons move with

an angular velocity greater than a certain value, but become unstable

when the velocity falls below this value. Four electrons in motion, for

example, are stable in one plane, but when the velocity falls below a

certain critical value, the system is unstable, and the electrons tend

to arrange themselves at the corners of a regular tetrahedron. J. J.

Thomson (_loc. cit._) applies this property to explain why an atom of

radio-active matter breaks up, as follows:—

“Consider now the properties of an atom containing a system of

corpuscles (electrons) of this kind. Suppose the corpuscles were

originally moving with velocities far exceeding the critical velocity;

in consequence of the radiation from the moving corpuscles, their

velocity will slowly—very slowly—diminish; when, after a long interval,

the velocity reaches the critical velocity, there will be what is

equivalent to an explosion of the corpuscles, the corpuscles will move

far away from their original position, their potential energy will

decrease, while their kinetic energy will increase. The kinetic energy

gained in this way might be sufficient to carry the system out of the

atom, and we should have, as in the case of radium, a part of the atom

shot off. In consequence of the very slow dissipation of energy by

radiation the life of the atom would be very long. We have taken the

case of the four corpuscles as the type of a system which, like a top,

requires for its stability a certain amount of rotation. Any system

possessing this property would, in consequence of the gradual

dissipation of energy by radiation, give to the atom containing it

radio-active properties similar to those conferred by the four

corpuscles.”

=271. Heat of the sun and earth.= It was pointed out by Rutherford and

Soddy[380] that the maintenance of the sun’s heat for long intervals of

time did not present any fundamental difficulty if a process of

disintegration, such as occurs in the radio-elements, were supposed to

be taking place in the sun. In a letter to _Nature_ (July 9, 1903) W. E.

Wilson showed that the presence of 3·6 grams of radium in each cubic

metre of the sun’s mass was sufficient to account for the present rate

of emission of energy by the sun. This calculation was based on the

estimate of Curie and Laborde that 1 gram of radium emits 100

gram-calories per hour, and on the observation of Langley that each

square centimetre of the sun’s surface emits 8·28 × 10⁶ gram-calories

per hour. Since the average density of the sun is 1·44, the presence of

radium in the sun, to the extent of 2·5 parts by weight in a million,

would account for its present rate of emission of energy.

An examination of the spectrum of the sun has not so far revealed any of

the radium lines. It is known, however, from spectroscopic evidence that

helium is present, and this indirectly suggests the existence of

radio-active matter also. It can readily be shown[381] that the absence

of penetrating rays from the sun at the surface of the earth does not

imply that the radio-elements are not present in the sun. Even if the

sun were composed of pure radium, it would hardly be expected that the γ

rays emitted would be appreciable at the surface of the earth, since the

rays would be almost completely absorbed in passing through the

atmosphere, which corresponds to a thickness of 76 centimetres of

mercury.

In the Appendix E of Thomson and Tait’s _Natural Philosophy_, Lord

Kelvin has calculated the energy lost in the concentration of the sun

from a condition of infinite dispersion, and concludes that it seems “on

the whole probable that the sun has not illuminated the earth for

100,000,000 years and almost certain that he has not done so for

500,000,000 years. As for the future we may say, with equal certainty,

that inhabitants of the earth cannot continue to enjoy the light and

heat essential to their life for many million years longer, unless

sources now unknown to us are prepared in the great storehouses of

creation.”

The discovery that a small mass of a substance like radium can emit

spontaneously an enormous quantity of heat renders it possible that this

estimate of the age of the sun’s heat may be much increased. In a letter

to _Nature_ (Sept. 24, 1903) G. H. Darwin drew attention to this

probability, and at the same time pointed out that, on Kelvin’s

hypotheses, his estimate of the duration of the sun’s heat was probably

much too high, and stated that, “The lost energy of the sun, supposed to

be a homogeneous sphere of mass _M_ and radius _a_, is (⅗)μ_M²_/_a_

where μ is the constant of gravitation. On introducing numerical values

for the symbols in this formula, I find the lost energy to be 2·7 × 10⁷

_M_ calories where _M_ is expressed in grams. If we adopt Langley’s

value of the solar constant, this heat suffices to give a supply for 12

million years. Lord Kelvin used Pouillet’s value for that constant, but

if he had been able to use Langley’s, his 100 million would have been

reduced to 60 million. The discrepancy between my results of 12 million

and his of 60 million is explained by a conjectural augmentation of the

lost energy to allow for the concentration of the solar mass towards its

central parts.” Now it has been shown (section 266) that one gram of

radium emits during its life an amount of heat corresponding to 1·6 ×

10⁹ gram-calories. It has also been pointed out that there is every

reason to suppose that a similar amount of energy is resident in the

chemical atoms of the inactive elements. It is not improbable that, at

the enormous temperature of the sun, the breaking up of the elements

into simpler forms may be taking place at a more rapid rate than on the

earth. If the energy resident in the atoms of the elements is thus

available, the time during which the sun may continue to emit heat at

the present rate may be at least 50 times longer than the value computed

from dynamical data.

Similar considerations apply to the question of the age of the earth. A

full discussion of the probable age of the earth, computed from its

secular cooling from a molten mass, is given by Lord Kelvin in Appendix

D of Thomson and Tait’s _Natural Philosophy_. He has there shown that

about 100 million years after the earth was a molten mass, the gradual

cooling due to radiation from its surface would account for the average

temperature gradient of ¹⁄₅₀° F. per foot, observed to-day near the

earth’s surface.

Some considerations will now be discussed which point to the probability

that the present temperature gradient observed in the earth cannot be

used as a guide to estimate the length of time that has elapsed since

the earth has been at a temperature capable of supporting animal and

vegetable life; for it will be shown that probably there is sufficient

radio-active matter on the earth to supply as much heat to the earth as

is lost by radiation from its surface. Taking the average conductivity

_K_ of the materials of the earth as ·004 (C.G.S. units) and the

temperature gradient _T_ near the surface as ·00037° C. per cm., the

heat _Q_ in gram-calories conducted to the surface of the earth per

second is given by

_Q_ = 4π_R²KT_,

where _R_ is the radius of the earth.

Let _X_ be the average amount of heat liberated per second per cubic

centimetre of the earth’s volume owing to the presence of radio-active

matter. If the heat _Q_ radiated from the earth is equal to the heat

supplied by the radio-active matter in the earth,

_X_ . (⁴⁄₃)π_R³_ = 4π_R²KT_,

or

3_KT_

_X_ = ------ .

_R_

Substituting the values of these constants,

_X_ = 7 × 10⁻¹⁵ gram-calories per second

= 2·2 × 10⁻⁷ gram-calories per year.

Since 1 gram of radium emits 876,000 gram-calories per year, the

presence of 2·6 × 10⁻¹³ grams of radium per unit volume, or 4·6 × 10⁻¹⁴

grams per unit mass, would compensate for the heat lost from the earth

by conduction.

Now it will be shown in the following chapter that radio-active matter

seems to be distributed fairly uniformly through the earth and

atmosphere. In addition, it has been found that all substances are

radio-active to a feeble degree, although it is not yet settled whether

this radio-activity may not be due mainly to the presence of a

radio-element as an impurity. For example, Strutt[382] observed that a

platinum plate was about ¹⁄₃₀₀₀ as active as a crystal of uranium

nitrate, or about 2 × 10⁻¹⁰ as active as radium. This corresponds to a

far greater activity than is necessary to compensate for the loss of

heat of the earth. A more accurate deduction, however, can be made from

data of the radio-activity exhibited by matter dug out of the earth.

Elster and Geitel[383] filled a dish of volume 3·3 × 10³ c.c. with clay

dug up from the garden, and placed it in a vessel of 30 litres capacity

in which was placed an electroscope to determine the conductivity of the

enclosed gas. After standing for several days, they found that the

conductivity of the air reached a constant maximum value, corresponding

to three times the normal. It will be shown later (section 284) that the

normal conductivity observed in sealed vessels corresponds to the

production of about 30 ions per c.c. per second. The number of ions

produced per second in the vessel by the radio-active earth was thus

about 2 × 10⁶. This would give a saturation current through the gas of

2·2 × 10⁻¹⁴ electromagnetic units. Now the emanation from 1 gram of

radium stored in a metal cylinder gives a saturation current of about

3·2 × 10⁻⁵ electromagnetic units. Elster and Geitel considered that

most of the conductivity observed in the gas was due to a radio-active

emanation, which gradually diffused from the clay into the air in the

vessel. The increased conductivity in the gas observed by Elster and

Geitel would thus be produced by the emanation from 7 × 10⁻¹⁰ gram of

radium. Taking the density of clay as 2, this corresponds to about 10⁻¹³

gram of radium per gram of clay. But it has been shown that if 4·6 ×

10⁻¹⁴ gram of radium were present in each gram of earth, the heat

emitted would compensate for the loss of heat of the earth by conduction

and radiation. The amount of activity observed in the earth is thus

about the right order of magnitude to account for the heat emission

required. In the above estimate, the presence of uranium and thorium

minerals in the earth has not been considered. Moreover, it is probable

that the total amount of radio-activity in the clay was considerably

greater than that calculated, for it is likely that other radio-active

matter was present which did not give off an emanation.

If the earth is supposed to be in a state of thermal equilibrium in

which the heat lost by radiation is supplied from radio-active matter,

there must be an amount of radio-active matter in the earth

corresponding to about 270 million tons of radium. If there were more

radium than this in the earth, the temperature gradient would be greater

than that observed to-day. This may appear to be a very large quantity

of radium, but recent determinations (section 281) of the amount of

radium emanation in the atmosphere strongly support the view that a

large quantity of radium must exist in the surface soil of the earth.

Eve found, on a minimum estimate, that the amount of emanation always

present in the atmosphere is equivalent to the equilibrium amount

derived from 100 tons of radium. There is every reason to believe that

the emanation found in the atmosphere is supplied both by the diffusion

of the emanation from the soil and by the action of springs. Since the

emanation loses half its activity in four days, it cannot diffuse from

any great depth. Assuming that the radium is uniformly distributed

throughout the earth, the quantity of the radium emanation produced in a

thin shell of earth about thirteen metres in depth, is sufficient to

account for the amount ordinarily observed in the atmosphere.

I think we may conclude that the present rate of loss of heat of the

earth might have continued unchanged for long periods of time in

consequence of the supply of heat from radio-active matter in the earth.

It thus seems probable that the earth may have remained for very long

intervals of time at a temperature not very different from that observed

to-day, and that, in consequence, the time during which the earth has

been at a temperature capable of supporting the presence of animal and

vegetable life may be very much longer than the estimate made by Lord

Kelvin from other data.

=272. Evolution of matter.= Although the hypothesis that all matter is

composed of some elementary unit of matter or protyle has been advanced

as a speculation at various times by many prominent physicists and

chemists, the first definite experimental evidence showing that the

chemical atom was not the smallest unit of matter was obtained in 1897

by J. J. Thomson in his classic research on the nature of the cathode

rays produced by an electric discharge in a vacuum tube. We have seen

that Sir William Crookes, who was the first to demonstrate the

remarkable properties of these rays, had suggested that they consisted

of streams of projected charged matter and represented—as he termed it—a

new or “fourth state of matter.”

J. J. Thomson showed by two distinct methods (section 50), that the

cathode rays consisted of a stream of negatively charged particles

projected with great velocity. The particles behaved as if their mass

was only about ¹⁄₁₀₀₀ of the mass of the atom of hydrogen, which is the

lightest atom known. These corpuscles, as they were termed by Thomson,

were found at a later date to be produced from a glowing carbon filament

and from a zinc plate exposed to the action of ultra-violet light. They

acted as isolated units of negative electricity, and, as we have seen,

may be identified with the electrons studied mathematically by Larmor

and Lorentz. Not only were these electrons produced by the action of

light, heat, and the electric discharge, but similar bodies were also

found to be emitted spontaneously from the radio-elements with a

velocity far greater than that observed for the electrons in a vacuum

tube.

The electrons produced in these various ways were all found to carry a

negative charge, and to be apparently identical; for the ratio _e_/_m_

of the charge of the electron to its mass was in all cases the same

within the limits of experimental error. Since electrons, produced from

different kinds of matter and under different conditions, were in all

cases identical, it seemed probable that they were a constituent part of

all matter. J. J. Thomson suggested that the atom is built up of a

number of these negatively charged electrons combined in some way with

corresponding positively charged bodies.

On this view the atoms of the chemical elements differ from one another

only in the number and arrangement of the component electrons.

The removal of an electron from the atom in the case of ionization does

not appear to affect permanently the stability of the system, for no

evidence has so far been obtained to show that the passage of an intense

electric discharge through a gas results in a permanent alteration of

the structure of the atom. On the other hand, in the case of the

radio-active bodies, a positively charged particle of mass about twice

that of the hydrogen atom escapes from the heavy radio-atom. This loss

appears to result at once in a permanent alteration of the atom, and

causes a marked change in its physical and chemical properties. In

addition there is no evidence that the process is reversible.

The expulsion of a β particle with great velocity from an atom of

radio-active matter also results in a transformation of the atom. For

example radium E emits a β particle, and, in consequence, gives rise to

a distinct substance radium F (polonium). A case of this kind, where the

expulsion of a β particle with great velocity causes a complete

rearrangement of the parts of an atom, is probably quite distinct from

the process which occurs during ionization, where a slow speed electron

escapes from the atom without apparently affecting the stability of the

atom left behind.

The only direct experimental evidence of the transformation of matter

has been derived from a study of the radio-active bodies. If the

disintegration theory, advanced to account for the phenomena of

radio-activity, is correct in the main essentials, then the

radio-elements are undergoing a spontaneous and continuous process of

transformation into other and different kinds of matter. The rate of

transformation is slow in uranium and thorium, but is fairly rapid in

radium. It has been shown that the fraction of a mass of radium which is

transformed per year is about ¹⁄₂₀₀₀ of the total amount present. In the

case of uranium and thorium probably a million years would be required

to produce a similar amount of change. Thus the process of

transformation in uranium and thorium is far too slow to be detected

within a reasonable time by the use of the balance or spectroscope, but

the radiations which accompany the transformation can easily be

detected. Although the process of change is slow it is continuous, and

in the course of ages the uranium and thorium present in the earth must

be transformed into other types of matter.

Those who have considered the possibility of atoms undergoing a process

of transformation have generally thought that the matter as a whole

would undergo a progressive change, with a gradual alteration of

physical and chemical properties of the whole mass of substance. On the

theory of disintegration this is not the case. Only a minute fraction of

the matter present breaks up in unit time, and in each of the successive

stages through which the disintegrated atoms pass, there is in most

cases a marked alteration in the chemical and physical properties of the

matter. The transformation of the radio-elements is thus a

transformation of a part _per saltum_, and not a progressive change of

the whole. At any time after the process of transformation has been in

progress there will thus remain a part of the matter which is unchanged,

and, mixed with it, the products which have resulted from the

transformation of the remainder.

The question naturally arises whether the process of degradation of

matter is confined to the radio-elements or is a universal property of

matter. It will be shown in chapter XIV that all matter, so far

examined, exhibits the property of radio-activity to a slight degree. It

is very difficult, however, to make certain that the observed

radio-activity is not due to the presence in the matter of a slight

trace of a radio-element. If ordinary matter is radio-active, it is

certain that its activity is much less than that of uranium, and

consequently that its rate of transformation must be excessively slow.

There is, however, another possibility to be considered. The changes

occurring in the radio-elements would probably never have been detected

if the change had not been accompanied by the expulsion of charged

particles with great velocity. It does not seem unlikely that an atom

may undergo disintegration without projecting a part of its system with

sufficient velocity to ionize the gas. In fact, we have seen that, even

in the radio-elements, several of the series of changes in both thorium,

radium, and actinium are unaccompanied by ionizing rays. The

experimental results given in Appendix A strongly support this point of

view. It may thus be possible that all matter is undergoing a slow

process of transformation, which has so far only been detected in the

radio-elements on account of the expulsion of charged particles with

great velocity during the change. This process of degradation of matter

continuing for ages must reduce the constituents of the earth to the

simpler and more stable forms of matter.

The idea that helium is a transformation product of radium suggests the

probability that helium is one of the more elementary substances of

which the heavier atoms are composed. Sir Norman Lockyer, in his

interesting book on “Inorganic Evolution,” has pointed out that the

spectra of helium and of hydrogen predominate in the hottest stars. In

the cooler stars the more complex types of matter appear. Sir Norman

Lockyer has based his theory of evolution of matter on evidence of a

spectroscopic examination of the stars, and considers that temperature

is the main factor in breaking up matter into its simpler forms. The

transformation of matter occurring in the radio-elements is on the other

hand spontaneous, and independent of temperature over the range

examined.

Footnote 333:

Perrin, _Revue Scientifique_, April 13, 1901.

Footnote 334:

Becquerel, _C. R._ 133, p. 979, 1901.

Footnote 335:

Rutherford and McClung, _Phil. Trans._ A, p. 25, 1901.

Footnote 336:

Rutherford, _Phil. Mag._ Jan. and Feb. 1900.

Footnote 337:

P. Curie, _C. R._ 136, p. 223, 1903.

Footnote 338:

Rutherford, _Phil. Mag._ April, 1903.

Footnote 339:

M. and Mme Curie, _C. R._ 134, p. 85, 1902.

Footnote 340:

Rutherford and Soddy, _Trans. Chem. Soc._ 81, pp. 321, 837, 1902.

_Phil. Mag._ Sept. and Nov. 1902.

Footnote 341:

Rutherford and Soddy, _Phil. Mag._ April, 1903.

Footnote 342:

Rutherford and Soddy, _Phil. Mag._ May, 1903.

Footnote 343:

Rutherford, _Phys. Zeit._ 4, p. 235, 1902. _Phil. Mag._ Feb. 1903.

Footnote 344:

Rutherford, _Phil. Mag._ May, 1903.

Footnote 345:

Curie and Laborde, _C. R._ 136, p. 673, 1903.

Footnote 346:

J. J. Thomson, _Nature_, p. 601, 1903.

Footnote 347:

Crookes, _C. R._ 128, p. 176, 1899.

Footnote 348:

F. Re, _C. R._ p. 136, p. 1393, 1903.

Footnote 349:

Richarz and Schenck, _Berl. Ber._ p. 1102, 1903. Schenck, _Berl. Ber._

p. 37, 1904.

Footnote 350:

Armstrong and Lowry, _Proc. Roy. Soc._ 1903. _Chem. News_, 88, p. 89,

1903.

Footnote 351:

Rutherford and Soddy, _Phil. Mag._ May, 1903.

Footnote 352:

Boltwood, _Nature_, May 25, p. 80, 1904. _Phil. Mag._ April, 1905.

Footnote 353:

McCoy, _Ber. d. D. Chem. Ges._ No. 11, p. 2641, 1904.

Footnote 354:

Strutt, _Nature_, March 17 and July 7, 1904. _Proc. Roy. Soc._ March

2, 1905.

Footnote 355:

Strutt, _Proc. Roy. Soc._ March 2, 1905.

Footnote 356:

Soddy, _Nature_, May 12, 1904; Jan. 19, 1905.

Footnote 357:

Whetham, _Nature_, May 5, 1904; Jan. 26, 1905.

Footnote 358:

Danne, _C. R._ Jan. 23, 1905.

Footnote 359:

J. J. Thomson, _Nature_, April 30, p. 601, 1903.

Footnote 360:

Voller, _Phys. Zeit._ 5, No. 24, p. 781, 1904.

Footnote 361:

Ramsay and Cooke, _Nature_, Aug. 11, 1904.

Footnote 362:

Eve, _Nature_, March 16, 1905.

Footnote 363:

J. J. Thomson, International Electrical Congress, St Louis, Sept.

1904.

Footnote 364:

Rutherford and Soddy, _Phil. Mag._ p. 582, 1902; pp. 453 and 579,

1903.

Footnote 365:

Ramsay and Soddy, _Nature_, July 16, p. 246, 1903. _Proc. Roy. Soc._

72, p. 204, 1903; 73, p. 346, 1904.

Footnote 366:

Curie and Dewar, _C. R._ 138, p. 190, 1904. _Chem. News_, 89, p. 85,

1904.

Footnote 367:

Himstedt and Meyer, _Ann. d. Phys._ 15, p. 184, 1904.

Footnote 368:

Strutt, _Proc. Roy. Soc._ March 2, 1905.

Footnote 369:

Boltwood, _Phil. Mag._ April, 1905.

Footnote 370:

Moss, _Trans. Roy. Soc. Dublin_, 1904.

Footnote 371:

Travers, _Nature_, p. 248, Jan. 12, 1905.

Footnote 372:

Jaquerod, _C. R._ p. 789, 1904.

Footnote 373:

Ramsay and Travers, _Zeitsch. Physik. Chem._ 25, p. 568, 1898.

Footnote 374:

Ramsay, _Nature_, April 7, 1904.

Footnote 375:

Lodge, _Nature_, June 11, p. 129, 1903.

Footnote 376:

Larmor, _Aether and Matter_, p. 233.

Footnote 377:

J. J. Thomson, _Phil. Mag._ p. 681, Dec. 1903.

Footnote 378:

Lord Kelvin, _Phil. Mag._ Oct. 1904.

Footnote 379:

Thomson, _Phil. Mag._ March, 1904.

Footnote 380:

Rutherford and Soddy, _Phil. Mag._ May, 1903.

Footnote 381:

See Strutt and Joly, _Nature_, Oct. 15, 1903.

Footnote 382:

Strutt, _Phil. Mag._ June, 1903.

Footnote 383:

Elster and Geitel, _Phys. Zeit._ 4, No. 19, p. 522, 1903. _Chem.

News_, July 17, p. 30, 1903.

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