Whether it be a consequence of long-continued development, or an

endowment conferred once for all on man at his creation, we find him

here gifted with a mind curious to know the causes of things, and

surrounded by objects which excite its questionings, and raise the

desire for an explanation. It is related of a young Prince of one of

the Pacific Islands, that when he first saw himself in a

looking-glass, he ran round the glass to see who was standing at the

back. And thus it is with the general human intellect, as regards the

phenomena of the external world. It wishes to get behind and learn

the causes and connections of these phenomena. What is the sun, what

is the earth, what should we see if we came to the edge of the earth

and looked over? What is the meaning of thunder and lightning, of

hail, rain, storm, and snow? Such questions presented themselves to

early men, and by and by it was discovered that this desire for

knowledge was not implanted in vain. After many trials it became

evident that man's capacities were, so to speak, the complement of

nature's facts, and that, within certain limits, the secret of the

universe was open to the human understanding. It was found that the

mind of man had the power of penetrating far beyond the boundaries of

his five senses; that the things which are seen in the material world

depend for their action upon things unseen; in short, that besides the

phenomena which address the senses, there are laws and principles and

processes which do not address the senses at all, but which must be,

and can be, spiritually discerned.

To the subjects which require this discernment belong the phenomena of

molecular force. But to trace the genesis of the notions now

entertained upon this subject, we have to go a long way back. In the

drawing of a bow, the darting of a javelin, the throwing of a

stone--in the lifting of burdens, and in personal combats, even savage

man became acquainted with the operation of _force_. Ages of

discipline, moreover, taught him foresight. He laid by at the proper

season stores of food, thus obtaining time to look about him, and to

become an observer and enquirer. Two things which he noticed must

have profoundly stirred his curiosity. He found that a kind of resin

dropped from a certain tree possessed, when rubbed, the power of

drawing light bodies to itself, and of causing them to cling to it;

and he also found that a particular stone exerted a similar power over

a particular kind of metal. I allude, of course, to electrified

amber, and to the load-stone, or natural magnet, and its power to

attract particles of iron. Previous experience of his own muscles had

enabled our early enquirer to distinguish between a push and a pull.

Augmented experience showed him that in the case of the magnet and the

amber, pulls and pushes--attractions and repulsions--were also

exerted; and, by a kind of poetic transfer, be applied to things

external to himself, conceptions derived from himself. The magnet and

the rubbed amber were credited with pushing and pulling, or, in other

words, with exerting force.

In the time of the great Lord Bacon the margin of these pushes and

pulls was vastly extended by Dr. Gilbert, a man probably of firmer

scientific fibre, and of finer insight, than Bacon himself. Gilbert

proved that a multitude of other bodies, when rubbed, exerted the

power which, thousands of years previously, had been observed in

amber. In this way the notion of attraction and repulsion in external

nature was rendered familiar. It was a matter of experience that

bodies, between which no visible link or connection existed, possessed

the power of acting upon each other; and the action came to be

technically called 'action at a distance.'

But out of experience in science there grows something finer than mere

experience. Experience furnishes the soil for plants of higher

growth; and this observation of action at a distance provided material

for speculation upon the largest of problems. Bodies were observed to

fall to the earth. Why should they do so? The earth was proved to

revolve round the sun; and the moon to revolve round the earth. Why

should they do so? What prevents them from flying straight off into

space? Supposing it were ascertained that from a part of the earth's

rocky crust a firmly fixed and tightly stretched chain started towards

the sun, we might be inclined to conclude that the earth is held in

its orbit by the chain--that the sun twirls the earth around him, as a

boy twirls round his head a bullet at the end of a string. But why

should the chain be needed? It is a fact of experience that bodies

can attract each other at a distance, without the intervention of any

chain. Why should not the sun and earth so attract each other? and

why should not the fall of bodies from a height be the result of their

attraction by the earth? Here then we reach one of those higher

speculations which grow out of the fruitful soil of observation.

Having started with the savage, and his sensations of muscular force,

we pass on to the observation of force exerted between a magnet and

rubbed amber and the bodies which they attract, rising, by an unbroken

growth of ideas, to a conception of the force by which sun and planets

are held together.

This idea of attraction between sun and planets had become familiar in

the time of Newton. He set himself to examine the attraction; and

here, as elsewhere, we find the speculative mind falling back for its

materials upon experience. It had been observed, in the case of

magnetic and electric bodies, that the nearer they were brought

together the stronger was the force exerted between them; while, by

increasing the distance, the force diminished until it became

insensible. Hence the inference that the assumed pull between the

earth and the sun would be influenced by their distance asunder.

Guesses had been made as to the exact manner in which the force varied

with the distance; but Newton supplemented the guess by the severe

test of experiment and calculation. Comparing the pull of the earth

upon a body close to its surface, with its pull upon the moon, 240,000

miles away, Newton rigidly established the law of variation with the

distance. But on his way to this result Newton found room for other

conceptions, some of which, indeed, constituted the necessary

stepping-stones to his result. The one which here concerns us is,

that not only does the sun attract the earth, and the earth attract

the sun, as wholes, but every particle of the sun attracts every

particle of the earth, and the reverse. His conclusion was, that the

attraction of the masses was simply the sum of the attractions of

their constituent particles.

This result seems so obvious that you will perhaps wonder at my

dwelling upon it; but it really marks a turning point in our notions

of force. You have probably heard of certain philosophers of the

ancient world named Democritus, Epicurus, and Lucretius. These men

adopted, developed, and diffused the doctrine of atoms and molecules,

which found its consummation at the hands of the illustrious John

Dalton. But the Greek and Roman philosophers I have named, and their

followers, up to the time of Newton, pictured their atoms as falling

and flying through space, hitting each other, and clinging together by

imaginary hooks and claws. They missed the central idea that atoms

and molecules could come together, not by being fortuitously knocked

Against each other, but by their own mutual attractions. This is one

of the great steps taken by Newton. He familiarised the world with

the conception of _molecular force_.

Newton, you know, was preceded by a grand fellow named John Kepler--a

true working man--who, by analysing the astronomical observations of

his master, Tycho Brahe, had actually found that the planets moved as

they are now known to move. Kepler knew as much about the motion of

the planets as Newton did; in fact, Kepler taught Newton and the world

generally the facts of planetary motion. But this was not enough. The

question arose--Why should the facts be so? This was the great

question for Newton, and it was the solution of it which renders his

name and fame immortal. Starting from the principle that every

particle of matter in the solar system attracts every other particle

by a force which varies as the inverse square of the distance between

the particles, he proved that the Planetary motions must be what

observation makes them to be. He showed that the moon fell towards

the earth, and that the planets fell towards the sun, through the

operation of the same force that pulls an apple from its tree. This

all-pervading force, which forms the solder of the material universe,

and the conception of which was necessary to Newton's intellectual

peace, is called the force of gravitation.

Gravitation is a purely attractive force, but in electricity and

magnetism, repulsion had been always seen to accompany attraction.

Electricity and magnetism are double or _polar forces_. In the case of

magnetism, experience soon pushed the mind beyond the bounds of

experience, compelling it to conclude that the polarity of the magnet

was resident in its molecules. I hold a magnetised strip of steel by

its centre, and find that one half of the strip attracts, and the

other half repels, the north end of a magnetic needle. I break the

strip in the middle, find that this half, which a moment ago attracted

throughout its entire length the north pole of a magnetic needle, is

now divided into two new halves, one of which wholly attracts, and the

other of which wholly repels, the north pole of the needle. The half

proves to be as perfect a magnet as the whole. You may break this

half and go on till further breaking becomes impossible through the

very smallness of the fragments; the smallest fragment is found

endowed with two poles, and is, therefore, a perfect magnet. But you

cannot stop here: you _imagine_ where you cannot _experiment_; and reach

the conclusion entertained by all scientific men, that the magnet

which you see and feel is an assemblage of molecular magnets which you

cannot see and feel, but which, as before stated, must be

intellectually discerned.

Magnetism then is a polar force; and experience hints that a force of

this kind may exert a certain structural power. It is known, for

example, that iron filings strewn round a magnet arrange themselves in

definite lines, called, by some, 'magnetic curves,' and, by others,

'lines of magnetic force.' Over two magnets now before me is spread a

sheet of paper. Scattering iron filings over the paper, polar force

comes into play, and every particle of the iron responds to that

force. We have a kind of architectural effort--if I may use the

term--exerted on the part of the iron filings. Here then is a fact of

experience which, as you will see immediately, furnishes further

material for the mind to operate upon, rendering it possible to attain

intellectual clearness and repose, while speculating upon apparently

remote phenomena.

The magnetic force has here acted upon particles visible to the eye.

But, as already stated, there are numerous processes in nature which

entirely elude the eye of the body, and must be figured by the eye of

the mind. The processes of chemistry are examples of these. Long

thinking and experimenting has led philosophers to conclude that

matter is composed of atoms from which, whether separate or in

combination, the whole material world is built up. The air we

breathe, for example, as mainly a mechanical mixture of the atoms of

oxygen and nitrogen. The water we drink is also composed of oxygen

and hydrogen. But it differs from the air in this particular, that in

water the oxygen and hydrogen are not mechanically mixed, but

chemically combined. The atoms of oxygen and those of hydrogen exert

enormous attractions on each other, so that when brought into

sufficient proximity they rush together with an almost incredible

force to form a chemical compound. But powerful as is the force with

which these atoms lock themselves together, we have the means of

tearing them asunder, and the agent by which we accomplish this may

here receive a few moments' attention.

Into a vessel containing acidulated water I dip two strips of metal,

the one being zinc and the other platinum, not permitting them to

touch each other in the liquid. I connect the two upper ends of the

strips by a piece of copper wire. The wire is now the channel of

what, for want of a better name, we call an 6 electric current.' What

the inner change of the wire is we do not know, but we do know that a

change has occurred, by the external effects produced by the wire. Let

me show you one or two of these effects. Before you is a series of

ten vessels, each with its pair of metals, and I wish to get the added

force of all ten. The arrangement is called a voltaic battery. I

plunge a piece of copper wire among these iron filings; they refuse to

cling to it. I employ the selfsame wire to connect the two ends of

the battery, and subject it to the same test. The iron filings now

crowd round the wire and cling to it. I interrupt the current, and

the filings immediately fall; the power of attraction continues only

so long as the wire connects the two ends of the battery.

Here is a piece of similar wire, overspun with cotton, to prevent the

contact of its various parts, and formed into a coil. I make the coil

part of the wire which connects the two ends of the voltaic battery.

By the attractive force with which it has become suddenly endowed, it

now empties this tool-box of its iron nails. I twist a covered copper

wire round this common poker; connecting the wire with the two ends of

the voltaic battery, the poker is instantly transformed into a strong

magnet. Two flat spirals are here suspended facing each other, about

six inches apart. Sending a current through both spirals, they clash

suddenly together; reversing what is called the direction of the

current in one of the spirals, they fly asunder. All these effects

are due to the power which we name an electric current, and which we

figure as flowing through the wire when the voltaic circuit is

complete.

By the same agent we tear asunder the locked atoms of a chemical

compound. Into this small cell, containing water, dip two thin wires.

A magnified image of the cell is thrown upon the screen before you,

and you see plainly the images of the wires. From a small battery I

send an electric current from wire to wire. Bubbles of gas rise

immediately from each of them, and these are the two gases of which

the water is composed. The oxygen is always liberated on the one

wire, the hydrogen on the other. The gases may be collected either

separately or mixed. I place upon my hand a soap bubble filled with

the mixture of both gases. Applying a taper to the bubble, a loud

explosion is heard. The atoms have rushed together with detonation,

and without injury to my hand, and the water from which they were

extracted is the result of their re-union.

*****

One consequence of the rushing together of the atoms is the

development of heat. What is this heat? Here are two ivory balls

suspended from the same point of support by two short strings. I draw

them thus apart and then liberate them. They clash together, but, by

virtue of their elasticity, they quickly recoil, and a sharp vibratory

rattle succeeds their collision. This experiment will enable you to

figure to your mind a pair of clashing atoms. We have in the first

place, a motion of the one atom towards the other--a motion of

translation, as it is usually called--then a recoil, and afterwards a

motion of vibration. To this vibratory motion we give the name of

heat. Thus, three things are to be kept before the mind--first, the

atoms themselves; secondly, the force with which they attract each

other; and thirdly, the motion consequent upon the exertion of that

force. This motion must be figured first as a motion of translation,

and then as a motion of vibration, to which latter we give the name of

heat. For some time after the act of combination this motion is so

violent as to prevent the molecules from coming together, the water

being maintained in a state of vapour. But as the vapour cools, or in

other words loses its motion, the molecules coalesce to form a liquid.

And now we approach a new and wonderful display of force. As long as

the substance remains in a liquid or vaporous condition, the play of

this force is altogether masked and bidden. But as the heat is

gradually withdrawn, the molecules prepare for new arrangements and

combinations. Solid crystals of water are at length formed, to which

we give the familiar name of ice. Looking at these beautiful edifices

and their internal structure, the pondering mind has forced upon it

the question, How are they built up? We have obtained clear

conceptions of polar force; and we infer from our broken magnet that

polar force may be resident in the molecules or smallest particles of

matter, and that by the play of this force structural arrangement is

possible. What, in relation to our present question, is the natural

action of a mind furnished with this knowledge? It is compelled to

transcend experience, and endow the atoms and molecules of which

crystals are built with definite poles whence issue attractions and

repulsions. In virtue of these forces some poles are drawn together,

while some retreat from each other; atom is added to atom, and

molecule to molecule, not boisterously or fortuitously, but silently

and symmetrically, and in accordance with laws more rigid than those

which guide a human builder when he places his materials together.

Imagine the bricks and stones of this town of Dundee endowed with

structural power.

Imagine them attracting and repelling, and arranging themselves into

streets and houses and Kinnaird Halls--would not that be wonderful?

Hardly less wonderful is the play of force by which the molecules of

water build themselves into the sheets of ice which every winter roof

your ponds and lakes.

If I could show you the actual progress of this molecular

architecture, its beauty would delight and astonish you. A reversal

of the process of crystallisation may be actually shown. The

molecules of a piece of ice may be taken asunder before your eyes; and

from the manner in which they separate, you may to some extent infer

the manner in which they go together. When a beam is sent from our

electric lamp through a plate of glass, a portion of the beam is

intercepted, and the glass is warmed by the portion thus retained

within it. When the beam is sent through a plate of ice, a portion of

the beam is also absorbed; but instead of warming the ice, the

intercepted heat melts it internally. It is to the delicate silent

action of this beam within the ice that I now wish to direct your

attention. Upon the screen is thrown a magnified image of the slab of

ice: the light of the beam passes freely through the ice without

melting it, and enables us to form the image; but the heat is in great

part intercepted, and that heat now applies itself to the work of

internal liquefaction. Selecting certain points for attack, round

about those points the beam works silently, undoing the crystalline

architecture, and reducing to the freedom of liquidity molecules which

had been previously locked in a solid embrace. The liquefied spaces

are rendered visible by strong illumination. Observe those

six-petaled flowers breaking out over the white surface, and expanding

in size as the action of the beam continues. These flowers are

liquefied ice. Under the action of the heat the molecules of the

crystals fall asunder, so as to leave behind them these exquisite

forms. We have here a process of demolition which clearly reveals the

reverse process of construction. In this fashion, and in strict

accordance with this hexangular type, every ice molecule takes its

place upon our ponds and lakes during the frosts of winter. To use

the language of an American poet, 'the atoms march in tune,' moving to

the music of law, which thus renders the commonest substance in nature

a miracle of beauty.

It is the function of science, not as some think to divest this

universe of its wonder and mystery, but, as in the case before us, to

point out the wonder and the mystery of common things. Those

fern-like forms, which on a frosty morning overspread your

windowpanes, illustrate the action of the same force. Breathe upon

such a pane before the fires are lighted, and reduce the solid

crystalline film to the liquid condition; then watch its subsequent

resolidification. You will see it all the better if you look at it

through a common magnifying glass. After you have ceased breathing,

the film, abandoned to the action of its own forces, appears for a

moment to be alive. Lines of motion run through it; molecule closes

with molecule, until finally the whole film passes from the state of

liquidity, through this state of motion, to its final crystalline

repose.

I can show you something similar. Over a piece of perfectly clean

glass I pour a little water in which certain crystals have been

dissolved. A film of the solution clings to the glass. By means of a

microscope and a lamp, an image of the plate of glass is thrown upon

the screen. The beam of the lamp, besides illuminating the glass,

also heats it; evaporation sets in, and at a certain moment, when the

solution has become supersaturated, splendid branches of crystal shoot

out over the screen. A dozen square feet of surface are now covered

by those beautiful forms. With another solution we obtain crystalline

spears, feathered right and left by other spears. From distant nuclei

in the middle of the field of view the spears shoot with magical

rapidity in all directions. The film of water on a window-pane on a

frosty morning exhibits effects quite as wonderful as these. Latent

in these formless solutions, latent in every drop of water, lies this

marvellous structural power, which only requires the withdrawal of

opposing forces to bring it into action.

The clear liquid now held up before you is a solution of nitrate of

silver--a compound of silver and nitric acid. When an electric

current is sent through this liquid the silver is severed from the

acid, as the hydrogen was separated from the oxygen in a former

experiment; and I would ask you to observe how the metal behaves when

its molecules are thus successively set free. The image of the cell,

and of the two wires which dip into the liquid of the cell, are now

clearly shown upon the screen. Let us close the circuit, and send the

current through the liquid. From one of the wires a beautiful silver

tree commences immediately to sprout. Branches of the metal are

thrown out, and umbrageous foliage loads the branches. You have here

a growth, apparently as wonderful as that of any vegetable, perfected

in a minute before your eyes. Substituting for the nitrate of silver

acetate of lead, which is a compound of lead and acetic acid, the

electric current severs the lead from the acid, and you see the metal

slowly branching into exquisite metallic ferns, the fronds of which,

as they become too heavy, break from their roots and fall to the

bottom of the cell.

These experiments show that the common matter of our earth--'brute

matter,' as Dr. Young, in his _Night Thoughts_, is pleased to call

it--when its atoms and molecules are permitted to bring their forces

into free play, arranges itself, under the operation of these forces,

into forms which rival in beauty those of the vegetable world. And

what is the vegetable world itself, but the result of the complex play

of these molecular forces? Here, as elsewhere throughout nature, if

matter moves it is force that moves it, and if a certain structure,

vegetable or mineral, is produced, it is through the operation of the

forces exerted between the atoms and molecules.

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