The action of the arrangement is this: the heat, falling on the pile,

produces an electric current; the current, passing through the coil,

deflects the needles, and the magnitude of the deflection may be made

a measure of the heat. The upper needle moves over a graduated dial

far too small to be directly seen. It is now, however, strongly

illuminated; and above it is a lens which, if permitted, would form an

image of the needle and dial upon the ceiling. There, however, it

could not be conveniently viewed. The beam is therefore received upon

a looking-glass, placed at the proper angle, which throws the image

upon a screen. In this way the motions of this small needle may be

made visible to you all.

The delicacy of this apparatus is such that in a room filled, as this

room now is, with an audience physically warm, it is exceedingly

difficult to work with it. My assistant stands several feet off. I

turn the pile towards him: the heat radiated from his face, even at

this distance, produces a deflection of 90°. I turn the instrument

towards a distant wall, a little below the average temperature of the

room. The needle descends and passes to the other side of zero,

declaring by this negative deflection that the pile has lost its

warmth by radiation against the cold wall. Possessed of this

instrument, of our ray-filter, and of our large Nicol prisms, we are

in a condition to investigate a subject of great philosophical

interest; one which long engaged the attention of some of our foremost

scientific workers--the substantial _identity of light and radiant

heat_.

That they are identical in _all_ respects cannot of course be the

case, for if they were they would act in the same manner upon all

instruments, the _eye_ included. The identity meant is such as

subsists between one colour and another, causing them to behave alike

as regards reflection, refraction, double refraction, and

polarization. Let us here run rapidly over the resemblances of light

and heat. As regards reflection from plane surfaces, we may employ a

looking-glass to reflect the light. Marking any point in the track of

the reflected beam, cutting off the light by the dissolved iodine,

and placing the pile at the marked point, the needle immediately

starts aside, showing that the heat is reflected in the same direction

as the light. This is true for every position of the mirror.

Recurring, for example, to the simple apparatus employed in our first

lecture (fig. 3, p. 11); moving the index attached to the mirror along

the divisions of our graduated arc (_m_ _n_), and determining by the

pile the positions of the invisible reflected beam, we prove that the

angular velocity of the heat-beam, like that of the light-beam, is

twice that of the mirror.

[Illustration: Fig. 49.]

As regards reflection from curved surfaces, the identity also holds

good. Receiving the beam from our electric lamp on a concave mirror

(_m_ _m_, fig. 49), it is gathered up into a cone of reflected light

rendered visible by the floating dust of the air; marking the apex of

the cone by a pointer, and cutting off the light by the iodine

solution (T), a moment's exposure of the pile (P) at the marked point

produces a violent deflection of the needle.

The common reflection and the total reflection of a beam of radiant

heat may be simultaneously demonstrated. From the nozzle of the lamp

(L, fig. 50) a beam impinges upon a plane mirror (M N), is reflected

upwards, and enters a right-angled prism, of which _a_ _b_ _c_ is the

section. It meets the hypothenuse at an obliquity greater than the

limiting angle,[23] and is therefore totally reflected. Quenching the

light by the ray-filter at F, and placing the pile at P, the totally

reflected heat-beam is immediately felt by the pile, and declared by

the galvanometric deflection.

[Illustration: Fig. 50.]

§ 7. _Invisible Images formed by Radiant Heat._

Perhaps no experiment proves more conclusively the substantial

identity of light and radiant heat, than the formation of invisible

heat-images. Employing the mirror already used to raise the beam to

its highest state of concentration, we obtain, as is well known, an

inverted image of the carbon points, formed by the light rays at the

focus. Cutting off the light by the ray-filter, and placing at the

focus a thin sheet of platinized platinum, the invisible rays declare

their presence and distribution, by stamping upon the platinum a

white-hot image of the carbons. (See fig. 51.)

[Illustration: Fig. 51.]

§ 8. _Polarization of Heat_.

Whether radiant heat be capable of polarization or not was for a long

time a subject of discussion. Bérard had announced affirmative

results, but Powell and Lloyd failed to verify them. The doubts thus

thrown upon the question were removed by the experiments of Forbes,

who first established the polarization and 'depolarization' of heat.

The subject was subsequently followed up by Melloni, an investigator

of consummate ability, who sagaciously turned to account his own

discovery, that the obscure rays of luminous sources are in part

transmitted by black glass. Intercepting by a plate of this glass the

light from an oil flame, and operating upon the transmitted invisible

heat, he obtained effects of polarization, far exceeding in magnitude

those which could be obtained with non-luminous sources. At present

the possession of our more perfect ray-filter, and more powerful

source of heat, enables us to pursue this identity question to its

utmost practical limits.

[Illustration: Fig. 52.]

Mounting our two Nicols (B and C, fig. 52) in front of the electric

lamp, with their principal sections crossed, no light reaches the

screen. Placing our thermo-electric pile (D) behind the prisms, with

its face turned towards the source, no deflection of the galvanometer

is observed. Interposing between the lamp (A) and the first prism (B)

our ray-filter, the light previously transmitted through the first

Nicol is quenched; and now the slightest turning of either Nicol opens

a way for the transmission of the heat, a very small rotation

sufficing to send the needle up to 90°. When the Nicol is turned back

to its first position, the needle again sinks to zero, thus

demonstrating, in the plainest manner, the polarization of the heat.

When the Nicols are crossed and the field is dark, you have seen, in

the case of light, the effect of introducing a plate of mica between

the polarizer and analyzer. In two positions the mica exerts no

sensible influence; in all others it does. A precisely analogous

deportment is observed as regards radiant heat. Introducing our

ray-filter, the thermo-pile, playing the part of an eye as regards the

invisible radiation, receives no heat when the eye receives no light;

but when the mica is so turned as to make its planes of vibration

oblique to those of the polarizer and analyzer, the heat immediately

passes through. So strong does the action become, that the momentary

plunging of the film of mica into the dark space between the Nicols

suffices to send the needle up to 90°. This is the effect to which the

term 'depolarization' has been applied; the experiment really proving

that with both light and heat we have the same resolution by the plate

of mica, and recompounding by the analyzer, of the ethereal

vibrations.

Removing the mica and restoring the needle once more to 0°, I

introduce between the Nicols a plate of quartz cut perpendicular to

the axis; the immediate deflection of the needle declares the

transmission of the heat, and when the transmitted beam is properly

examined, it is found to be circularly polarized, exactly as a beam of

light is polarized under the same conditions.

§ 9. _Double Refraction of Heat_.

I will now abandon the Nicols, and send through the piece of Iceland

spar (B, fig. 53), already employed (in Lecture III.) to illustrate

the double refraction of light, our sifted beam of invisible heat. To

determine the positions of the two images, let us first operate upon

the luminous beam. Marking the places of the light-images, we

introduce between N and L our ray-filter (not in the figure) and

quench the light. Causing the pile to approach one of the marked

places, the needle remains unmoved until the place has been attained;

here the pile at once detects the heat. Pushing the pile across the

interval separating the two marks, the needle first falls to 0°, and

then rises again to 90° in the second position. This proves the double

refraction of the heat.

[Illustration: Fig. 53.]

I now turn the Iceland spar: the needle remains fixed; there is no

alteration of the deflection. Passing the pile rapidly across to the

other mark, the deflection is maintained. Once more I turn the spar,

but now the needle falls to 0°, rising, however, again to 90° after a

rotation of 360°. We know that in the case of light the extraordinary

beam rotates round the ordinary one; and we have here been operating

on the extraordinary heat-beam, which, as regards double refraction,

behaves exactly like a beam of light.

§ 10. _Magnetization of Heat_.

To render our series of comparisons complete, we must demonstrate the

magnetization of heat. But here a slight modification of our

arrangement will be necessary. In repeating Faraday's experiment on

the magnetization of light, we had, in the first instance, our Nicols

crossed and the field rendered dark, a flash of light appearing upon

the screen when the magnet was excited. Now the quantity of light

transmitted in this case is really very small, its effect being

rendered striking through contrast with the preceding darkness. When

we so place the Nicols that their principal sections enclose an angle

of 45°, the excitement of the magnet causes a far greater positive

augmentation of the light, though the augmentation is not so well

_seen_ through lack of contrast, because here, at starting, the field

is illuminated.

In trying to magnetize our beam of heat, we will adopt this

arrangement. Here, however, at the outset, a considerable amount of

heat falls upon one face of the pile. This it is necessary to

neutralize, by permitting rays from another source to fall upon the

opposite face of the pile. The needle is thus brought to zero. Cutting

off the light by our ray-filter, and exciting the magnet, the needle

is instantly deflected, proving that the magnet has opened a door for

the heat, exactly as in Faraday's experiment it opened a door for the

light. Thus, in every case brought under our notice, the substantial

identity of light and radiant heat has been demonstrated.

By the refined experiments of Knoblauch, who worked long and

successfully at this question, the double refraction of heat, by

Iceland spar, was first demonstrated; but, though he employed the

luminous heat of the sun, the observed deflections were exceedingly

small. So, likewise, those eminent investigators De la Povostaye and

Desains succeeded in magnetizing a beam of heat; but though, in their

case also, the luminous solar heat was employed, the deflection

obtained did not amount to more than two or three degrees. With

_obscure_ radiant heat the effect, prior to the experiments now

brought before you, had not been obtained; but, with the arrangement

here described, we obtain deflections from purely invisible heat,

equal to 150 of the lower degrees of the galvanometer.

§ 11. _Distribution of Heat in the Electric Spectrum_.

We have finally to determine the position and magnitude of the

invisible radiation which produces these results. For this purpose we

employ a particular form of the thermo-pile. Its face is a rectangle,

which by movable side-pieces can be rendered as narrow as desirable.

Throwing a small and concentrated spectrum upon a screen, by means of

an endless screw we move the rectangular pile through the entire

spectrum, and determine in succession the thermal power of all its

colours.

[Illustration: SPECTRUM OF ELECTRIC LIGHT.]

When this instrument is brought to the violet end of the spectrum,

the heat is found to be almost insensible. As the pile gradually moves

from the violet towards the red, it encounters a gradually augmenting

heat. The red itself possesses the highest heating power of all the

colours of the spectrum. Pushing the pile into the dark space beyond

the red, the heat rises suddenly in intensity, and at some distance

beyond the red it attains a maximum. From this point the heat falls

somewhat more rapidly than it rose, and afterwards gradually fades

away.

Drawing a horizontal line to represent the length of the spectrum, and

erecting along it, at various points, perpendiculars proportional in

length to the heat existing at those points, we obtain a curve which

exhibits the distribution of heat in the prismatic spectrum. It is

represented in the adjacent figure. Beginning at the blue, the curve

rises, at first very gradually; towards the red it rises more rapidly,

the line C D (fig. 54, opposite page) representing the strength of the

extreme red radiation. Beyond the red it shoots upwards in a steep and

massive peak to B; whence it falls, rapidly for a time, and afterwards

gradually fades from the perception of the pile. This figure is the

result of more than twelve careful series of measurements, from each

of which the curve was constructed. On superposing all these curves, a

satisfactory agreement was found to exist between them. So that it may

safely be concluded that the areas of the dark and white spaces,

respectively, represent the relative energies of the visible and

invisible radiation. The one is 7.7 times the other.

But in verification, as already stated, consists the strength of

science. Determining in the first place the total emission from the

electric lamp, and then, by means of the iodine filter, determining

the ultra-red emission; the difference between both gives the luminous

emission. In this way, it is found that the energy of the invisible

emission is eight times that of the visible. No two methods could be

more opposed to each other, and hardly any two results could better

harmonize. I think, therefore, you may rely upon the accuracy of the

distribution of heat here assigned to the prismatic spectrum of the

electric light. There is nothing vague in the mode of investigation,

or doubtful in its conclusions. Spectra are, however, formed by

_diffraction_, wherein the distribution of both heat and light is

different from that produced by the prism. These diffractive spectra

have been examined with great skill by Draper and Langley. In the

prismatic spectrum the less refrangible rays are compressed into a

much smaller space than in the diffraction spectrum.

LECTURE VI.

PRINCIPLES OF SPECTRUM ANALYSIS

PRISMATIC ANALYSIS OF THE LIGHT OF INCANDESCENT VAPOURS

DISCONTINUOUS SPECTRA

SPECTRUM BANDS PROVED BY BUNSEN AND KIRCHHOFF TO BE CHARACTERISTIC

OF THE VAPOUR

DISCOVERY OF RUBIDIUM, CÆSIUM, AND THALLIUM

RELATION OF EMISSION TO ABSORPTION

THE LINES OF FRAUNHOFER

THEIR EXPLANATION BY KIRCHHOFF

SOLAR CHEMISTRY INVOLVED IN THIS EXPLANATION

FOUCAULT'S EXPERIMENT

PRINCIPLES OF ABSORPTION

ANALOGY OF SOUND AND LIGHT

EXPERIMENTAL DEMONSTRATION OF THIS ANALOGY

RECENT APPLICATIONS OF THE SPECTROSCOPE

SUMMARY AND CONCLUSION.

We have employed as our source of light in these lectures the ends of

two rods of coke rendered incandescent by electricity. Coke is

particularly suitable for this purpose, because it can bear intense

heat without fusion or vaporization. It is also black, which helps the

light; for, other circumstances being equal, as shown experimentally

by Professor Balfour Stewart, the blacker the body the brighter will

be its light when incandescent. Still, refractory as carbon is, if we

closely examined our voltaic arc, or stream of light between the

carbon-points, we should find there incandescent carbon-vapour. And if

we could detach the light of this vapour from the more dazzling light

of the solid points, we should find its spectrum not only less

brilliant, but of a totally different character from the spectra that

we have already seen. Instead of being an unbroken succession of

colours from red to violet, the carbon-vapour would yield a few bands

of colour with spaces of darkness between them.

What is true of the carbon is true in a still more striking degree of

the metals, the most refractory of which can be fused, boiled, and

reduced to vapour by the electric current. From the incandescent

vapour the light, as a general rule, flashes in groups of rays of

definite degrees of refrangibility, spaces existing between group and

group, which are unfilled by rays of any kind. But the contemplation

of the facts will render this subject more intelligible than words can

make it. Within the camera is now placed a cylinder of carbon hollowed

out at the top; in the hollow is placed a fragment of the metal

thallium. Down upon this we bring the upper carbon-point, and then

separate the one from the other. A stream of incandescent

thallium-vapour passes between them, the magnified image of which is

now seen upon the screen. It is of a beautiful green colour. What is

the meaning of that green? We answer the question by subjecting the

light to prismatic analysis. Sent through the prism, its spectrum is

seen to consist of a single refracted band. Light of one degree of

refrangibility--that corresponding to this particular green--is

emitted by the thallium-vapour.

We will now remove the thallium and put a bit of silver in its place.

The are of silver is not to be distinguished from that of thallium; it

is not only green, but the same shade of green. Are they then alike?

Prismatic analysis enables us to answer the question. However

impossible it is to distinguish the one _colour_ from the other, it is

equally impossible to confound the _spectrum_ of incandescent

silver-vapour with that of thallium. In the case of silver, we have

two green bands instead of one.

If we add to the silver in our camera a bit of thallium, we shall

obtain the light of both metals. After waiting a little, we see that

the green of the thallium lies midway between the two greens of the

silver. Hence this similarity of colour.

But why have we to 'wait a little' before we see this effect? The

thallium band at first almost masks the silver bands by its superior

brightness. Indeed, the silver bands have wonderfully degenerated

since the bit of thallium was put in, and for a reason worth knowing.

It is the _resistance_ offered to the passage of the electric current

from carbon to carbon, that calls forth the power of the current to

produce heat. If the resistance were materially lessened, the heat

would be materially lessened; and if all resistance were abolished,

there would be no heat at all. Now, thallium is a much more fusible

and vaporizable metal than silver; and its vapour facilitates the

passage of the electricity to such a degree, as to render the current

almost incompetent to vaporize the more refractory silver. But the

thallium is gradually consumed; its vapour diminishes, the resistance

rises, until finally you see the two silver bands as brilliant as they

were at first.[24]

We have in these bands a perfectly unalterable characteristic of the

two metals. You never get other bands than these two green ones from

the silver, never other than the single green band from the thallium,

never other than the three green bands from the mixture of both

metals. Every known metal has its own particular bands, and in no

known case are the bands of two different metals alike in

refrangibility. It follows, therefore, that these spectra may be made

a sure test for the presence or absence of any particular metal. If we

pass from the metals to their alloys, we find no confusion. Copper

gives green bands; zinc gives blue and red bands; brass--an alloy of

copper and zinc--gives the bands of both metals, perfectly unaltered

in position or character.

But we are not confined to the metals themselves; the _salts_ of these

metals yield the bands of the metals. Chemical union is ruptured by a

sufficiently high heat; the vapour of the metal is set free, and it

yields its characteristic bands. The chlorides of the metals are

particularly suitable for experiments of this character. Common salt,

for example, is a compound of chlorine and sodium; in the electric

lamp it yields the spectrum of the metal sodium. The chlorides of

copper, lithium, and strontium yield, in like manner, the bands of

these metals.

When, therefore, Bunsen and Kirchhoff, the illustrious founders of

_spectrum analysis_, after having established by an exhaustive

examination the spectra of all known substances, discovered a spectrum

containing bands different from any known bands, they immediately

inferred the existence of a new metal. They were operating at the time

upon a residue, obtained by evaporating one of the mineral waters of

Germany. In that water they knew the unknown metal was concealed, but

vast quantities of it had to be evaporated before a residue could be

obtained sufficiently large to enable ordinary chemistry to grapple

with the metal. They, however, hunted it down, and it now stands

among chemical substances as the metal _Rubidium_. They subsequently

discovered a second metal, which they called _Cæsium_. Thus, having

first placed spectrum analysis on a sure foundation, they demonstrated

its capacity as an agent of discovery. Soon afterwards Mr. Crookes,

pursuing the same method, discovered the bright green band of

_Thallium_, and obtained the salts of the metal which yielded it. The

metal itself was first isolated in ingots by M. Lamy, a French

chemist.

All this relates to chemical discovery upon earth, where the materials

are in our own hands. But it was soon shown how spectrum analysis

might be applied to the investigation of the sun and stars; and this

result was reached through the solution of a problem which had been

long an enigma to natural philosophers. The scope and conquest of this

problem we must now endeavour to comprehend. A spectrum is _pure_ in

which the colours do not overlap each other. We purify the spectrum by

making our beam narrow, and by augmenting the number of our prisms.

When a pure spectrum of the sun has been obtained in this way, it is

found to be furrowed by innumerable dark lines. Four of them were

first seen by Dr. Wollaston, but they were afterwards multiplied and

measured by Fraunhofer with such masterly skill, that they are now

universally known as Fraunhofer's lines. To give an explanation of

these lines was, as I have said, a problem which long challenged the

attention of philosophers, and to Professor Kirchhoff belongs the

honour of having first conquered this problem.

(The positions of the principal lines, lettered according to

Fraunhofer, are shown in the annexed sketch (fig. 55) of the solar

spectrum. A is supposed to stand near the extreme red, and J near the

extreme violet.)

[Illustration: Fig. 55.]

The brief memoir of two pages, in which this immortal discovery is

recorded, was communicated to the Berlin Academy on October 27, 1859.

Fraunhofer had remarked in the spectrum of a candle flame two bright

lines, which coincide accurately, as to position, with the double dark

line D of the solar spectrum. These bright lines are produced with

particular intensity by the yellow flame derived from a mixture of

salt and alcohol. They are in fact the lines of sodium vapour.

Kirchhoff produced a spectrum by permitting the sunlight to enter his

telescope by a slit and prism, and in front of the slit he placed the

yellow sodium flame. As long as the spectrum remained feeble, there

always appeared two bright lines, derived from the flame, in the place

of the two dark lines D of the spectrum. In this case, such absorption

as the flame exerted upon the sunlight was more than atoned for by the

radiation from the flame. When, however, the solar spectrum was

rendered sufficiently intense, the bright bands vanished, and the two

dark Fraunhofer lines appeared with much greater sharpness and

distinctness than when the flame was not employed.

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