In 1845 he published his memoir on 'Organic Motion,' and applied the

mechanical theory of heat in the most fearless and precise manner to

vital processes. He also embraced the other natural agents in his

chain of conservation. In 1853 Mr. Waterston proposed, independently,

the meteoric theory of the sun's heat, and in 1854 Professor William

Thomson applied his admirable mathematical powers to the development

of the theory; but six years previously the subject had been handled

in a masterly manner by Mayer, and all that I have said about it has

been derived from him. When we consider the circumstances of Mayer's

life, and the period at which he wrote, we cannot fail to be struck

with astonishment at what he has accomplished. Here was a man of

genius working in silence, animated solely by a love of his subject,

and arriving at the most important results in advance of those whose

lives were entirely devoted to Natural Philosophy. It was the

accident of bleeding a feverish patient at Java in 1840 that led Mayer

to speculate on these subjects. He noticed that the venous blood in

the tropics was of a brighter red than in colder latitudes, and his

reasoning on this fact led him into the laboratory of natural forces,

where he has worked with such signal ability and success. Well, you

will desire to know what has become of this man. His mind, it is

alleged, gave way; it is said he became insane, and he was certainly

sent to a lunatic asylum. In a biographical dictionary of his country

it is stated that he died there, but this is incorrect. He recovered;

and, I believe, is at this moment a cultivator of vineyards in

Heilbronn.

====================

June 20, 1862.

While preparing for publication my last course of lectures on Heat, I

wished to make myself acquainted with all that Dr. Mayer had done in

connection with this subject. I accordingly wrote to two gentlemen

who above all others seemed likely to give me the information which I

needed. [Footnote: Helmholtz and Clausius.] Both of them are Germans,

and both particularly distinguished in connection with the Dynamical

Theory of Heat. Each of them kindly furnished me with the list of

Mayer's publications, and one of them [Clausius] was so friendly as to

order them from a bookseller, and to send them to me. This friend, in

his reply to my first letter regarding Mayer, stated his belief that I

should not find anything very important in Mayer's writings; but

before forwarding the memoirs to me he read them himself. His letter

accompanying them contains the following words: 'I must here retract

the statement in my last letter, that you would not find much matter

of importance in Mayer's writings: I am astonished at the multitude of

beautiful and correct thoughts which they contain;' and he goes on to

point out various important subjects, in the treatment of which Mayer

had anticipated other eminent writers. My other friend, in whose own

publications the name of Mayer repeatedly occurs, and whose papers

containing these references were translated some years ago by myself,

was, on the 10th of last month, unacquainted with the thoughtful and

beautiful essay of Mayer's, entitled 'Beitraege zur Dynamik des

Himmels,' and in 1854, when Professor William Thomson developed in so

striking a manner the meteoric theory of the sun's heat, he was

certainly not aware of the existence of that essay, though from a

recent article in 'Macmillan's Magazine' I infer that he is now aware

of it. Mayer's physiological writings have been referred to by

physiologists--by Dr. Carpenter, for example--in terms of honouring

recognition. We have hitherto, indeed, obtained fragmentary glimpses

of the man, partly from physicists and partly from physiologists; but

his total merit has never yet been recognised as it assuredly would

have been had he chosen a happier mode of publication. I do not think

a greater disservice could be done to a man of science, than to

overstate his claims: such overstatement is sure to recoil to the

disadvantage of him in whose interest it is made. But when Mayer's

opportunities, achievements, and fate are taken into account, I do not

think that I shall be deeply blamed for attempting to place him in

that honourable position, which I believe to be his due.

Here, however, are the titles of Mayer's papers, the perusal of which

will correct any error of judgment into which I may have fallen

regarding their author. 'Bemerkungen ueber die Kraefte der unbelebten

Natur,' Liebig's 'Annalen,' 1842, Vol. 42, p. 231; 'Die Organische

Bewegung in ihrem Zusammenhange mit dem Stoffwechsel,' Heilbronn,

1845; 'Beitraege zur Dynamik des Himmels,' Heilbronn, 1848;

'Bemerkungen ueber das Mechanische Equivalent der Waerme,' Heilbronn,

1851.

====================

IN MEMORIAM.--Dr. Julius Robert Mayer died at Heilbronn on March 20,

1878, aged 63 years. It gives me pleasure to reflect that the great

positionwhich he will for ever occupy in the annals of science was

first virtually assigned to him in the foregoing discourse. He was

subsequently hosen by acclamation a member of the French Academy of

Sciences; and he received from the Royal Society the Copley medal-its

Highest reward. [Footnote: See 'The Copley Medalist for 1871,' p.479.]

====================

November 1878.

At the meeting of the British Association at Glasgow in 1876--that is

to say, more than fourteen years after its delivery and

publication--the foregoing lecture was made the cloak for an unseemly

personal attack by Professor Tait. The anger which found this

uncourteous vent dates from 1863, when it fell to my lot to maintain,

in opposition to him and a more eminent colleague, the position which

in 1862 I had assigned to Dr. Mayer. [Footnote: See 'Philosophical

Magazine' for this and the succeeding years.] In those days Professor

Tait denied to Mayer all originality, and he has since, I regret to say,

never missed an opportunity, however small, of carping at Mayer's

claims. The action of the Academy of Sciences and of the Royal Society

summarily disposes of this detraction, to which its object, during his

lifetime, never vouchsafed either remonstrance or reply.

Some time ago Professor Tait published a volume of lectures entitled

'Recent Advances in Physical Science,' which I have reason to know has

evoked an amount of censure far beyond that hitherto publicly

expressed. Many of the best heads on the continent of Europe agree in

their rejection and condemnation of the historic portions of this

book. In March last it was subjected to a brief but pungent critique

by Du Bois-Reymond, the celebrated Perpetual Secretary of the Academy

of Sciences in Berlin. Du Bois-Reymond's address was on 'National

Feeling,' and his critique is thus wound up: 'The author of the

"Lectures" is not, perhaps, sufficiently well acquainted with the

history on which he professes to throw light, and on the later phases

of which he passes so unreserved (schroff) a judgment. He thus

exposes himself to the suspicion--which, unhappily, is not weakened by

his other writings--that the fiery Celtic blood of his country

occasionally runs away with him, converting him for the time into a

scientific Chauvin. Scientific Chauvinism,' adds the learned

secretary, 'from which German investigators have hitherto kept free,

is more reprehensible (gehaessig) than political Chauvinism, inasmuch

as self-control (_sittliche Haltung_) is more to be expected from men of

science, than from the politically excited mass.' [Footnote: Festrede,

delivered before the Academy of Sciences of Berlin, in celebration of

the birthday of the Emperor and King, March 28, 1878.]

In the case before this 'expectation' would, I fear, be doomed to

disappointment. But Du Bois-Reymond and his countrymen must not

accept the writings of Professor Tait as representative of the thought

of England. Surely no nation in the world has more effectually shaken

itself free from scientific Chauvinism. From the day that Davy, on

presenting the Copley medal to Arago, scornfully brushed aside that

spurious patriotism which would run national boundaries through the

free domain of science, chivalry towards foreigners has been a guiding

principle with the Royal Society.

On the more private amenities indulged in by Professor Tait, I do not

consider it necessary to say a word.

********************

XVII. CONTRIBUTIONS TO MOLECULAR PHYSICS.

[Footnote: A discourse delivered at the Royal Institution, March 18,

1864--supplementing, though of prior date, the Rede Lecture on

Radiation.]

HAVING on previous occasions dwelt upon the enormous differences which

exist among gaseous bodies both as regards their power of absorbing

and emitting radiant heat, I have now to consider the effect of a

change of aggregation. When a gas is condensed to a liquid, or a

liquid congealed to a solid, the molecules coalesce, and grapple with

each other by forces which are insensible as long as the gaseous state

is maintained. But, even in the solid and liquid conditions, the

luminiferous aether still surrounds the molecules: hence, if the acts

of radiation and absorption depend on them individually, regardless of

their state of aggregation, the change from the gaseous to the liquid

state ought not materially to affect the radiant and absorbent power.

If, on the contrary, the mutual entanglement of the molecular by the

force of cohesion be of paramount influence, then we may expect that

liquids will exhibit a deportment towards radiant heat altogether

different from that of the vapours from which they are derived.

The first part of an enquiry conducted in 1863-64 was devoted to an

exhaustive examination of this question. Twelve different liquids

were employed, and five different layers of each, varying in thickness

from 0.02 of an inch to 0.27 of an inch. The liquids were enclosed,

not in glass vessels, which would have materially modified the

incident heat, but between plates of transparent rock-salt, which only

slightly affected the radiation. The source of heat throughout these

comparative experiments consisted of a platinum wire, raised to

incandescence by an electric current of unvarying strength. The

quantities of radiant heat absorbed and transmitted by each of the

liquids at the respective thicknesses were first determined. The

vapours of these liquids were subsequently examined, the quantities of

vapour employed being rendered proportional to the quantities of

liquid previously traversed by the radiant heat. The result was that,

for heat from the same source, the order of absorption of liquids and

of their vapours proved absolutely the same. There is no known

exception to this law; so that, to determine the position of a vapour

as an absorber or a radiator, it is only necessary to determine the

position of its liquid.

This result proves that the state of aggregation, as far at all events

as the liquid stage is concerned, is of altogether subordinate

moment--a conclusion which will probably prove to be of cardinal

importance in molecular physics. On one important and contested point

it has a special bearing. If the position of a liquid as an absorber

and radiator determine that of its vapour, the position of water fixes

that of aqueous vapour. Water has been compared with other liquids in

a multitude of experiments, and it has been found, both as a radiant

and as an absorbent, to transcend them all. Thus, for example, a

layer of bisulphide of carbon 0.02 of an inch in thickness absorbs 6

per cent, and allows 94 per cent of the radiation from the red-hot

platinum spiral to pass through it; benzol absorbs 43 and transmits 57

per cent. of the same radiation; alcohol absorbs 67 and transmits 33

per cent, and alcohol, as an absorber of radiant heat, stands at the

head of all liquids except one. The exception is water. A layer of

this substance, of the thickness above given, absorbs 81 per cent, and

permits only 19 per cent. of the radiation to pass through it. Had no

single experiment ever been made upon the vapour of water, its

vigorous action upon radiant heat might be inferred from the

deportment of the liquid.

The relation of absorption and radiation to the chemical constitution

of the radiating and absorbing substances was next briefly considered.

For the first six substances in the list of liquids examined, the

radiant and absorbent powers augment as the number of atoms in the

compound molecule augments. Thus, bisulphide of carbon has 3 atoms,

chloroform 5, iodide of ethyl 8, benzol 12, and amylene 15 atoms in

their respective molecules. The order of their power as radiants and

absorbents is that here indicated, bisulphide of carbon being the

feeblest, and amylene the strongest of the six. Alcohol, however,

excels benzol as an absorber, though it has but 9 atoms in its

molecule; but, on the other hand, its molecule is rendered more

complex by the introduction of a new element. Benzol contains carbon

and hydrogen, while alcohol contains carbon, hydrogen and oxygen.

Thus, not only does atomic _multitude_ come into play in absorption and

radiation--atomic _complexity_ must also be taken into account. I would

recommend to the particular attention of chemists the molecule of

water; the deportment of this substance towards radiant heat being

perfectly anomalous, if the chemical formula at present ascribed to it

be correct.

Sir William Herschel made the important discovery that, beyond the

limits of the red end of the solar spectrum, rays of high heating

power exist which are incompetent to excite vision. The discovery is

capable of extension. Dissolving iodine in the bisulphide of carbon,

a solution is obtained which entirely intercepts the light of the most

brilliant flames, while to the ultra-red rays of such flames the same

iodine is found to be perfectly diathermic. The transparent

bisulphide, which is highly pervious to invisible heat, exercises on

it the same absorption as the perfectly opaque solution. A hollow

prism filled with the opaque liquid being placed in the path of the

beam from an electric lamp, the light-spectrum is completely

intercepted, but the heat spectrum may be received upon a screen and

there examined. Falling upon a thermo-electric pile, its invisible

presence is shown by the prompt deflection of even a coarse

galvanometer.

What, then, is the physical meaning of opacity and transparency as

regards light and radiant heat? The visible rays of the spectrum

differ from the invisible ones simply in period. The sensation of

light is excited by waves of aether shorter and more quickly recurrent

than the non-visual waves which fall beyond 'the extreme red. But why

should iodine stop the former and allow the latter to pass? The

answer to this question no doubt is, that the intercepted waves are

those whose periods of recurrence coincide with the periods of

oscillation possible to the atoms of the dissolved iodine. The

elastic forces which keep these atoms apart compel them to vibrate in

definite periods, and, when these periods synchronise with those of

the aethereal waves, the latter are absorbed. Briefly defined, then,

transparency in liquids, as well as in gases, is synonymous with

discord, while opacity is synonymous with accord, between the periods

of the waves of aether and those of the molecules on which they

impinge.

According to this view transparent and colourless substances owe their

transparency to the dissonance existing between the oscillating

periods of their atoms and those of the waves of the whole visible

spectrum. From the prevalence of transparency in compound bodies, the

general discord of the vibrating periods of their atoms with the

light-giving waves of the spectrum, may be inferred; while their

synchronism with the ultra-red periods is to be inferred from their

opacity to the ultra-red rays. Water illustrates this in a most

striking manner. It is highly transparent to the luminous rays, which

proves that its atoms do not readily oscillate in the periods which

excite vision. It is highly opaque to the ultra-red undulations,

which proves the synchronism of its vibrating periods with those of

the longer waves.

If, then, to the radiation from any source water shows itself

eminently or perfectly opaque, we may infer that the atoms whence the

radiation emanates oscillate in ultra-red periods. Let us apply this

test to the radiation from a flame of hydrogen. This flame consists

mainly of incandescent aqueous vapour, the temperature of which, as

calculated by Bunsen, is 3259°C, so that, if the penetrative power of

radiant heat, as generally supposed, augment with the temperature of

its source, we may expect the radiation from this flame to be

copiously transmitted by water. While, however, a layer of the

bisulphide of carbon 0.07 of an inch in thickness transmits 72 per

cent. of the incident radiation, and while every other liquid

examined transmits more or less of the heat, a layer of water of the

above thickness is entirely opaque to the radiation from the hydrogen

flame. Thus we establish accord between the periods of the atoms of

cold water and those of aqueous vapour at a temperature of 3259°C. But

the periods of water have already been proved to be ultra red--hence

those of the hydrogen flame must be sensibly ultra-red also. The

absorption by dry air of the heat emitted by a platinum spiral raised

to incandescence by electricity is insensible, while that by the

ordinary undried air is 6 per cent. Substituting for the platinum

spiral a hydrogen flame, the absorption by dry air still remains

insensible, while that of the undried air rises to 20 per cent. of

the entire radiation. The temperature of the hydrogen flame is, as

stated, 3259°C; that of the aqueous vapour of the air 20°C. Suppose,

then, the temperature of aqueous vapour to rise from 20°C. to 3259°C,

we must conclude that the augmentation of temperature is applied to an

increase of amplitude or width of swing, and not to the introduction

of quicker periods into the radiation.

The part played by aqueous vapour in the economy of nature is far more

wonderful than has been hitherto supposed. To nourish the vegetation

of the earth the actinic and luminous rays of the sun must penetrate

our atmosphere; and to such rays aqueous vapour is eminently

transparent. The violet and the ultra-violet rays pass through it

with freedom. To protect vegetation from destructive chills the

terrestrial rays must be checked in their transit towards stellar

space; and this is accomplished by the aqueous vapour diffused through

the air. This substance is the great moderator of the earth's

temperature, bringing its extremes into proximity, and obviating

contrasts between day and night which would render life insupportable.

But we can advance beyond this general statement, now that we know the

radiation from aqueous vapour is intercepted, in a special degree, by

water, and, reciprocally, the radiation from water by aqueous vapour;

for it follows from this that the very act of nocturnal refrigeration

which produces the condensation of aqueous vapour at the surface of

the earth--giving, as it were, a varnish of water to that

surface--imparts to terrestrial radiation that particular character

which disqualifies it from passing through the earth's atmosphere and

losing itself in space.

And here we come to a question in molecular physics which at the

present moment occupies attention. By allowing the violet and

ultra-violet rays of the spectrum to fall upon sulphate of quinine and

other substances Professor Stokes has changed the periods of those

rays. Attempts have been made to produce a similar result at the

other end of the spectrum--to convert the ultra-red periods into

periods competent to excite vision--but hitherto without success. Such

a change of period, I agree with Dr. Miller in believing, occurs when

the limelight is produced by an oxy-hydrogen flame. In this common

experiment there is an actual breaking up of long periods into short

ones--a true rendering of unvisual periods visual. The change of

refrangibility here effected differs from that of Professor Stokes;

firstly, by its being in the opposite direction--that is, from a lower

refrangibility to a higher; and, secondly, in the circumstance that

the lime is heated by the collision of the molecules of aqueous

vapour, before their heat has assumed the radiant form. But it cannot

be doubted that the same effect would be produced by radiant heat of

the same periods, provided the motion of the aether could be rendered

sufficiently intense. [Footnote: This was soon afterwards

accomplished. See the section on 'Transmutation of Rays'.] The

effect in principle is the same, whether we consider the lime to be

struck by a particle of aqueous vapour oscillating at a certain rate,

or by a particle of aether oscillating at the same rate.

By plunging a platinum wire into a hydrogen flame we cause it to glow,

and thus introduce shorter periods into the radiation. These, as

already stated, are in discord with the atomic vibrations of water;

hence we may infer that the transmission through water will be

rendered more copious by the introduction of the wire into the flame.

Experiment proves this conclusion to be true. Water, from being

opaque, opens a passage to 6 per cent. of the radiation from the

spiral. A thin plate of colourless glass, moreover, transmits 68 per

cent. of the radiation from the hydrogen flame; but when the flame

and spiral are employed, 78 per cent. of the heat is transmitted.

For an alcohol flame Knoblauch and Melloni found glass to be less

transparent than for the same flame with a platinum spiral immersed in

it; but Melloni afterwards showed that the result was not

general--that black glass and black mica were decidedly more

diathermic to the radiation from the pure alcohol flame. Melloni did

not explain this, but the reason is now obvious. The mica and glass

owe their blackness to the carbon diffused through them. This carbon,

as first proved by Melloni, is in some measure transparent to the

ultra-red rays, and I have myself succeeded in transmitting between 40

and 50 per cent. of the radiation from a hydrogen flame through a

layer of carbon which intercepted the light of an intensely brilliant

flame. The products of combustion of alcohol are carbonic acid and

aqueous vapour, the heat of which is almost wholly ultra-red. For

this radiation, then, the carbon is in a considerable degree

transparent, while for the radiation from the platinum spiral, it is

in a great measure opaque. The platinum wire, therefore, which

augmented the radiation through the pure glass, augmented the

absorption of the black glass and mica.

No more striking or instructive illustration of the influence of

coincidence could be adduced than that furnished by the radiation from

a carbonic oxide flame. Here the product of combustion is carbonic

acid; and on the radiation from this flame even the ordinary carbonic

acid of the atmosphere exerts a powerful effect. A quantity of the

gas, only one-thirtieth of an atmosphere in density, contained in a

polished brass tube four feet long, intercepts 50 per cent. of the

radiation from the carbonic oxide flame. For the heat emitted by

lampblack, olefiant gas is a far more powerful absorber than carbonic

acid; in fact, for such heat, with one exception, carbonic acid is the

most feeble absorber to be found among the compound gases. Moreover,

for the radiation from a hydrogen flame olefiant gas possesses twice

the absorbent power of carbonic acid, while for the radiation from the

carbonic oxide flame, at a common pressure of one inch of mercury, the

absorption by carbonic acid is more than twice that of olefiant gas.

Thus we establish the coincidence of period between carbonic acid at a

temperature of 20°C. and carbonic acid at a temperature of over

3000°C, the periods of oscillation of both the incandescent and the

cold gas belonging to the ultra-red portion of the spectrum.

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