FOOTNOTES:

[1] _Harmonie universelle_ (Paris, 1636), bk. v. pp. 232-237.

[2] See Sir Thomas Browne's Works, vol. i. p. 206.

[3] See Capt. C.R. Day, _Descriptive Catalogue of Musical

Instruments_ (London, 1891), pp. 18-22 and pl. 4; also _Complete

Instructions for the Double Flageolet_ (London, 1825); and _The

Preceptor, or a Key to the Double Flageolet_ (London, 1815).

FLAGSHIP, the vessel in a fleet which carries the flag, the symbol of

authority of an admiral.

FLAHAUT DE LA BILLARDERIE, AUGUSTE CHARLES JOSEPH, COMTE DE (1785-1870),

French general and statesman, son of Alexandre Sebastien de Flahaut de

la Billarderie, comte de Flahaut, beheaded at Arras in February 1793,

and his wife Adelaide Filleul, afterwards Mme de Souza (q.v.), was born

in Paris on the 21st of April 1785. Charles de Flahaut was generally

recognized to be the offspring of his mother's liaison with Talleyrand,

with whom he was closely connected throughout his life. His mother took

him with her into exile in 1792, and they remained abroad until 1798. He

entered the army as a volunteer in 1800, and received his commission

after the battle of Marengo. He became aide-de-camp to Murat, and was

wounded at the battle of Landbach in 1805. At Warsaw he met Anne

Poniatowski, Countess Potocka, with whom he rapidly became intimate.

After the battle of Friedland he received the Legion of Honour, and

returned to Paris in 1807. He served in Spain in 1808, and then in

Germany. Meanwhile the Countess Potocka had established herself in

Paris, but Charles de Flahaut had by this time entered on his liaison

with Hortense de Beauharnais, queen of Holland. The birth of their son

was registered in Paris on the 21st of October 1811 as Charles Auguste

Louis Joseph Demorny, known later as the due de Morny. Flahaut fought

with distinction in the Russian campaign of 1812, and in 1813 became

general of brigade, aide-de-camp to the emperor, and, after the battle

of Leipzig, general of division. After Napoleon's abdication in 1814 he

submitted to the new government, but was placed on the retired list in

September. He was assiduous in his attendance on Queen Hortense until

the Hundred Days brought him into active service again. A mission to

Vienna to secure the return of Marie Louise resulted in failure. He was

present at Waterloo, and afterwards sought to place Napoleon II. on the

throne. He was saved from exile by Talleyrand's influence, but was

placed under police surveillance. Presently he elected to retire to

Germany, and thence to England, where he married Margaret, daughter of

Admiral George Keith Elphinstone, Lord Keith, and after the latter's

death Baroness Keith in her own right. The French ambassador opposed the

marriage, and Flahaut resigned his commission. His eldest daughter,

Emily Jane, married Henry, 4th marquess of Lansdowne. The Flahauts

returned to France in 1827, and in 1830 Louis Philippe gave the count

the grade of lieutenant-general and made him a peer of France. He

remained intimately associated with Talleyrand's policy, and was, for a

short time in 1831, ambassador at Berlin. He was afterwards attached to

the household of the duke of Orleans, and in 1841 was sent as ambassador

to Vienna, where he remained until 1848, when he was dismissed and

retired from the army. After the _coup d'etat_ of 1851 he was again

actively employed, and from 1860 to 1862 was ambassador at the court of

St James's. He died on the 1st of September 1870. The comte de Flahaut

is perhaps better remembered for his exploits in gallantry, and the

elegant manners in which he had been carefully trained by his mother,

than for his public services, which were not, however, so inconsiderable

as they have sometimes been represented to be.

See A. de Haricourt, _Madame de Souza et sa famille_ (1907).

FLAIL (from Lat. _flagellum_, a whip or scourge, but used in the Vulgate

in the sense of "flail"; the word appears in Dutch _vlegel_, Ger.

_Flegel_, and Fr. _fleau_), a farm hand-implement formerly used for

threshing corn. It consists of a short thick club called a "swingle" or

"swipple" attached by a rope or leather thong to a wooden handle in such

a manner as to enable it to swing freely. The "flail" was a weapon used

for military purposes in the middle ages. It was made in the same way as

a threshing-flail but much stronger and furnished with iron spikes. It

also took the form of a chain with a spiked iron ball at one end

swinging free on a wooden or iron handle. This weapon was known as the

"morning star" or "holy water sprinkler." During the panic over the

Popish plot in England from 1678 to 1681, clubs, known as "Protestant

flails," were carried by alarmed Protestants (see GREEN RIBBON CLUB).

FLAMBARD, RANULF, or RALPH (d. 1128), bishop of Durham and chief

minister of William Rufus, was the son of a Norman parish priest who

belonged to the diocese of Bayeux. Migrating at an early age to England,

the young Ranulf entered the chancery of William I. and became

conspicuous as a courtier. He was disliked by the barons, who nicknamed

him Flambard in reference to his talents as a mischief-maker; but he

acquired the reputation of an acute financier and appears to have played

an important part in the compilation of the Domesday survey. In that

record he is mentioned as a clerk by profession, and as holding land

both in Hants and Oxfordshire. Before the death of the old king he

became chaplain to Maurice, bishop of London, under whom he had formerly

served in the chancery. But early in the next reign Ranulf returned to

the royal service. He is usually described as the chaplain of Rufus; he

seems in that capacity to have been the head of the chancery and the

custodian of the great seal. But he is also called treasurer; and there

can be no doubt that his services were chiefly of a fiscal character.

His name is regularly connected by the chroniclers with the ingenious

methods of extortion from which all classes suffered between 1087 and

1100. He profited largely by the tyranny of Rufus, farming for the king

a large proportion of the ecclesiastical preferments which were

illegally kept vacant, and obtaining for himself the wealthy see of

Durham (1099). His fortunes suffered an eclipse upon the accession of

Henry I., by whom he was imprisoned in deference to the popular outcry.

A bishop, however, was an inconvenient prisoner, and Flambard soon

succeeded in effecting his escape from the Tower of London. A popular

legend represents the bishop as descending from the window of his cell

by a rope which friends had conveyed to him in a cask of wine. He took

refuge with Robert Curthose in Normandy and became one of the advisers

who pressed the duke to dispute the crown of England with his younger

brother; Robert rewarded the bishop by entrusting him with the

administration of the see of Lisieux. After the victory of Tinchebrai

(1106) the bishop was among the first to make his peace with Henry, and

was allowed to return to his English see. At Durham he passed the

remainder of his life. His private life was lax; he had at least two

sons, for whom he purchased benefices before they had entered on their

teens; and scandalous tales are told of the entertainments with which he

enlivened his seclusion. But he distinguished himself, even among the

bishops of that age, as a builder and a pious founder. He all but

completed the cathedral which his predecessor, William of St Carilef,

had begun; fortified Durham; built Norham Castle; founded the priory of

Mottisfout and endowed the college of Christchurch, Hampshire. As a

politician he ended his career with his submission to Henry, who found

in Roger of Salisbury a financier not less able and infinitely more

acceptable to the nation. Ranulf died on the 5th of September 1128.

See Orderic Vitalis, _Historia ecclesiastica_, vols. iii. and iv. (ed.

le Prevost, Paris, 1845); the first continuation of Symeon's _Historia

Ecclesiae Dunelmensis_ (Rolls ed., 1882); William of Malmesbury in the

_Gesta pontificum_ (Rolls ed., 1870); and the _Peterborough Chronicle_

(Rolls ed., 1861). Of modern writers E.A. Freeman in his _William

Rufus_ (Oxford, 1882) gives the fullest account. See also T.A. Archer

in the _English Historical Review_, ii. p. 103; W. Stubbs's

_Constitutional History of England_, vol. i. (Oxford, 1897); J.H.

Round's _Feudal England_ (London, 1895). (H. W. C. D.)

FLAMBOROUGH HEAD, a promontory on the Yorkshire coast of England,

between the Filey and Bridlington bays of the North Sea. It is a lofty

chalk headland, and the resistance it offers to the action of the waves

may be well judged by contrast with the low coast of Holderness to the

south. The cliffs of the Head, however, are pierced with caverns and

fringed with rocks of fantastic outline. Remarkable contortion of strata

is seen at various points in the chalk. Sea-birds breed abundantly on

the cliffs. A lighthouse marks the point, in 54 deg. 7' N., 0 deg. 5' W.

FLAMBOYANT STYLE, the term given to the phase of Gothic architecture in

France which corresponds in period to the Perpendicular style. The word

literally means "flowing" or "flaming," in consequence of the

resemblance to the curved lines of flame in window tracery. The earliest

examples of flowing tracery are found in England in the later phases of

the Decorated style, where, in consequence of the omission of the

enclosing circles of the tracery, the carrying through of the foliations

resulted in a curve of contrary flexure of ogee form and hence the term

flowing tracery. In the minster and the church of St Mary at Beverley,

dating from 1320 and 1330, are the earliest examples in England; in

France its first employment dates from about 1460, and it is now

generally agreed that the flamboyant style was introduced from English

sources. One of the chief characteristics of the flamboyant style in

France is that known as "interpenetration," in which the base mouldings

of one shaft are penetrated by those of a second shaft of which the

faces are set diagonally. This interpenetration, which was in a sense a

_tour de force_ of French masons, was carried to such an extent that in

a lofty rood-screen the mouldings penetrating the base-mould would be

found to be those of a diagonal buttress situated 20 to 30 ft. above it.

It was not limited, however, to internal work; in late 15th and early

16th century ecclesiastical architecture it is found on the facades of

some French cathedrals, and often on the outside of chapels added in

later times.

FLAME (Lat. _flamma_; the root _flag_-appears in _flagrare_, to burn,

blaze, and Gr. [Greek: phlegein]). There is no strict scientific

definition of flame, but for the purpose of this article it will be

regarded as a name for gas which is temporarily luminous in consequence

of chemical action. It is well known that the luminosity of gases can be

induced by the electrical discharge, and with rapidly alternating

high-tension discharges in air an oxygen-nitrogen flame is produced

which is long and flickering, can be blown out, yields nitrogen

peroxide, and is in fact indistinguishable from an ordinary flame except

by its electrical mode of maintenance. The term "flame" is also applied

to solar protuberances, which, according to the common view, consist of

gases whose glow is of a purely thermal origin. Even with the restricted

definition given above, difficulties present themselves. It is found,

for example, with a hydrogen flame that the luminosity diminishes as the

purity of the hydrogen is increased and as the air is freed from dust,

and J.S. Stas declared that under the most favourable conditions he was

only able, even in a dark room, to localize the flame by feeling for it,

an observation consistent with the fact that the line spectrum of the

flame lies wholly in the ultra-violet. On the other hand, there are many

examples of chemical combination between gases where the attendant

radiation is below the pitch of visibility, as in the case of ethylene

and chlorine. It will be obvious from these facts that a strict

definition of flame is hardly possible. The common distinction between

luminous and non-luminous flames is, of course, quite arbitrary, and

only corresponds to a rough estimate of the degree of luminosity.

The chemical energy necessary for the production of flame may be

liberated during combination or decomposition. A single substance like

gun-cotton, which is highly endothermic and gives gaseous products, will

produce a bright flame of decomposition if a single piece be heated in

an evacuated flask. Combination is the more common case, and this means

that we have two separate substances involved. If they be not mixed _en

masse_ before combination, the one which flows as a current into the

other is called conventionally the "combustible," but the simple

experiment of burning air in coal gas suffices to show the unreality of

this distinction between combustible and supporter of combustion, which,

in fact, is only one of the many partial views that are explained and

perhaps justified by the dominance of oxygen in terrestrial chemistry.

Although hydrocarbon flames are the commonest and most interesting, it

will be well to consider simpler flames first in order to discuss some

fundamental problems. In hydrocarbon flames the complexity of the

combustible, its susceptibility to change by heating, and the

possibilities of fractional oxidation, create special difficulties. In

the flame of hydrogen and oxygen or carbon monoxide and oxygen we have

simpler conditions, though here, too, things may be by no means so

simple as they seem from the equations 2H2 + O2 = 2H2O and 2CO + O2 =

2CO2. The influence of water vapour on both these actions is well known,

and the molecular transactions may in reality be complicated. We shall,

however, assume for the sake of clearness that in these cases we have a

simple reaction taking place throughout the mass of flame. There are

various ways in which a pair of gases may be burned, and these we shall

consider separately. Let us first suppose the two gases to have been

mixed _en masse_ and a light to be applied to the stationary mixture. If

the mixture be made within certain limiting proportions, which vary for

each case, a flame spreads from the point where the light is applied,

and the flame traverses the mixture. This flame may be very slow in its

progress or it may attain a velocity of the order of one or two thousand

metres per second. Until comparatively recent times great

misunderstanding prevailed on this subject. The slow rate of movement of

flame in short lengths of gaseous mixtures was taken to be the velocity

of explosion, but more recent researches by M.P.E. Berthelot, E.

Mallard and H.L. le Chatelier and H.B. Dixon have shown that a

distinction must be made between the slow _initial rate of inflammation_

of gaseous mixtures and the _rapid rate of detonation_, or rate of the

_explosive wave_, which in many cases is subsequently set up. We shall

here deal only with the slow movements of flame. The development of a

flame in such a gaseous mixture requires that a small portion of it

should be raised to a temperature called the _temperature of ignition_.

Here again considerable misunderstanding has prevailed. The temperature

of ignition has often been regarded as the temperature at which chemical

combination begins, whereas it is really the temperature at which

combination has reached a certain rate. The combination of hydrogen and

oxygen begins at temperatures far below that of ignition. It may indeed

be supposed that the combination occurs with extreme slowness even at

ordinary temperatures, and that as the temperature is raised the

velocity of the reaction increases in accordance with the general

expression according to which an increase of 10 deg.C. will

approximately double the rate. However that may be, it has been proved

experimentally by J.H. van't Hoff, Victor Meyer and others that the

combination of hydrogen and oxygen proceeds at perceptible rates far

below the temperature of ignition. The phenomenon appears to be greatly

influenced by the solid surfaces which are present; thus in a plain

glass vessel the combination only began to be perceptible at 448 deg.,

whilst in a silvered glass vessel it would be detected at 182 deg. C.

The same kind of thing is true for most oxidizable substances, including

ordinary combustibles. We must look upon the application of heat to a

combustible mixture as resulting in an increase of the rate of

combination locally. Let us suppose that we are dealing with a stratum

of the mixture in small contiguous sections. If we raise the temperature

of the first section _a_ deg. C., an increased rate of combination is

set up. The heat produced by this combination will be dissipated by

conduction and radiation, and we will suppose that it does not quite

suffice to raise the adjacent section of the mixture to _a_ deg.C. The

combination in that section, therefore, will not be as rapid as in the

first one, and so evidently the impulse to combination will go on

abating as we pass along the stratum. Suppose now we start again and

heat the first section of the mixture to a temperature _c_ deg.C., such

that the rate of combination is very rapid and the heat developed by

combination suffices to raise the adjacent section of the mixture to a

temperature higher than _c_ deg.C. The rate of combination will then be

greater than in the first section, and the impulse to combination will

be intensified in the same way from section to section along the stratum

until a maximum temperature is reached. It is obvious that there must be

a temperature of _b_ deg.C. between _a_ deg. and _c_ deg. which will

satisfy this condition, that the heat which results from the combination

stimulated in the first section just suffices to raise the temperature

of the second section to _b_ deg. This temperature _b_ deg. is the

temperature of ignition of the mixture; so soon as it is attained by a

portion of the mixture the combustion becomes self-sustaining and flame

spreads through the mixture. Ignition temperature may be defined briefly

as the temperature at which the initial loss of heat due to conduction,

&c., is equal to the heat evolved in the same time by the chemical

reaction (van't Hoff). From the above considerations we see that the

temperature of ignition will vary not only when the gases are varied,

but when the proportions of the same gases are varied, and also when the

pressure is varied. We can see also that outside certain limiting

proportions a mixture of gases will have no practicable ignition

temperature, that is to say, the cooling effect of the gas which is in

excess will carry off so much heat that no attainable initial heating

will suffice to set up the transmission of a constant temperature. Thus

in the case of hydrogen and air, mixtures containing less than 5 and

more than 72% of hydrogen are not inflammable. The theory of ignition

temperature enables us to understand why in an explosive mixture a very

small electric spark may not suffice to induce explosion. Combination

will indeed take place in the path of the spark, but the amount of it is

not sufficient to meet the loss of heat by conduction, &c. It must be

added that the theory of ignition temperatures given above does not

explain all the observed facts. F. Emich states that the inflammability

of gaseous mixtures is not necessarily greatest when the gases are mixed

in the proportions theoretically required for complete combination, and

the influence of foreign gases does not appear to follow any simple law.

The presence of a small quantity of a gas may exercise a profound

influence on the ignition temperature as in the case of the addition of

ethylene to hydrogen (Sir Edward Frankland), and again when a mixture of

methane and air is raised to its ignition temperature a sensible

interval (about 10 seconds) elapses before inflammation occurs.

The rate at which a flame will traverse a mixture of two gases which has

been ignited depends on the proportions in which the gases are mixed.

Fig. 1 (Bunte) represents this relationship for several common gases.

[Illustration: FIG. 1.--Rates of inflammation of combustible gases with

air.]

If a ready-made gaseous mixture is to be used for the production of a

steady flame, it may be forced through a tube and ignited at the end; it

is obvious that the velocity of efflux must be greater than the initial

rate of inflammation of the mixture, for otherwise the mixture would

fire back down the tube. If the velocity of efflux be considerably

greater than the rate of inflammation, the flame will be separated from

the end of the tube, and only appear as a flickering crown where the

velocity and inflammability of the issuing gas have been diminished by

admixture with air. With much increased velocity of efflux the flame

will be blown out. J.B.A. Dumas used to show the experiment of blowing

out a candle with electrolytic gas. A steady flame formed by burning a

ready-made gaseous mixture at the end of a tube of circular section has

the form shown in fig. 2. The small internal cone marks the lower

limiting surface of the flame; it is the locus of all points where the

velocity of efflux is just equal to the velocity of inflammation, and

its conical form is explained by the fact that the rate of efflux of gas

is greatest in the vertical axis of the tube where the flow is not

retarded by friction with the walls, as well as by the further fact that

the gas issuing from such an orifice spreads outwards, the inflammation

proceeding directly against it. The flame, it will be seen, is of

considerable thickness. If the gaseous mixture be hydrogen and oxygen,

or carbon monoxide and oxygen, it will have no obvious features of

structure beyond those shown in the figure; that is to say, the shaded

region of burning gas has the appearance of homogeneity and uniform

colour which might be expected to accompany a uniform chemical

condition. Some admixture of the external air will, of course, take

place, especially in the upper parts of the flame, and detectable

quantities of oxides of nitrogen may be found in the products of

combustion, but this is an inconsiderable feature. The flame just

described is essentially that of a blowpipe.

[Illustration: FIG. 2.]

A second way of producing a flame is the more common one of allowing one

gas to stream into the other. Using the same gases as before, hydrogen

or carbon monoxide with oxygen, we find again that the flame is conical

in form and uniform in colour, but in this case, if the velocity of

efflux be not immoderate, the burning gas only extends over a

comparatively thin shell, limited on the inside by the pure combustible

and on the outside by a mixture of the products of combustion with

oxygen. The combustible gas has to make its own inflammable mixture with

the circumambient oxygen, and we may suppose the column of gas to be

burned through as it ascends. The core of unburned gas thus becomes

thinner as it ascends and the flame tapers to a point. The external

surface of a flame of this kind will for the same consumption of gas be

larger than that of a flame where the ready-made mixture of gases is

used. If a jet of one gas be sent with a sufficient velocity into

another, turbulent admixture takes place and an unsteady sheet of flame

of uniform colour is obtained.

A third way of forming a flame is to allow the whole of one gas, mixed

with a less quantity of the second than is sufficient for complete

combustion, to issue into an atmosphere of the second. This is the case

with what are generally known as atmospheric burners, of which the

Bunsen burner is the prototype. The development of a flame of this kind

can be well studied in the case of carbon monoxide and air. The carbon

monoxide is fed into a Bunsen burner with closed air-valve, the

burner-tube being prolonged by affixing a glass tube to it by means of a

cork. The flame consists of a single conical blue sheet. If now the

air-valve be opened very slightly, an internal cone of the same blue

colour makes its appearance. The air which has entered through the

air-valve ("primary" air) has become mixed with the carbon monoxide and

so oxidizes its quota in an internal cone, the rest of the carbon

monoxide (diluted now, of course, with carbon dioxide and nitrogen)

wandering into the external atmosphere to burn (with "secondary" air) in

a second cone. The existence of the internal cone and the subsequent

thermal effect lead to slight convexity of surface in the outer cone. If

the quantity of primary air be increased more internal combustion can

take place. This, however, does not lead to an enlargement of the inner

cone, for the increase of air increases the rate of inflammation of the

mixture, and the inner cone (which only maintains its stability because

the rate of efflux of the mixture is greater than the velocity of

inflammation) contracts, and will, as the proportion of primary air is

increased, soon evince a tendency to enter the burner-tube. At this

stage an interesting phenomenon is to be noticed. When we have reached

the point of aeration where the velocity of inflammation of the mixture

just surpasses the velocity of efflux, the inner cone enters the

burner-tube as a disk and descends, but this downward motion checks the

suction flow of air through the valve at the base of the burner, whilst

it does not appreciably check the pressure flow of the carbon monoxide

through the gas nozzle. The result is that a stratum of gas-mixture poor

in air, and therefore of low rate of inflammation, is formed, and when

the descending disk of flame meets it, the descent is arrested and the

disk returns to the top of the tube, reproducing the inner cone. The

full air suction is now restored and the course of events is repeated.

This oscillatory action can be maintained almost indefinitely long if

the pressure and other conditions be maintained constant. With still

more primary air the inner cone of flame simply fires back to the burner

nozzle, or, in the last stage, we may have enough air entering to

produce a flame of the blast blowpipe type, namely, one where the carbon

monoxide mixed with an _excess_ of primary air burns with a single cone

in a steady flame.

By means of a simple contrivance devised by A. Smithells a two-coned

flame of the kind described may be resolved into its components. The

apparatus is like a half-extended telescope made of two glass tubes, and

it is evident that the velocity of a mixture of gases flowing through it

must be greater in the narrow tube than in the wider one. If the end of

the narrower tube be fixed to a Bunsen burner and the flame be formed at

the end of the wider one, then when the air-supply is increased to a

certain point the inner cone will descend into the wide tube and attach

itself to the upper end of the narrower one. This occurs when the

velocity of inflammation is just greater than the upward velocity of the

gaseous stream in the wide tube and less than the upward velocity in the

narrow tube. If the outer tube be now drawn down, a two-coned flame

burns at the end of the inner tube; if the outer tube be slid up again,

it detaches the outer cone and carries it upward. This apparatus has

been of use in investigating the progress of combustion in various

flames.

_Temperature of Flames._--The term "flame-temperature" is used very

vaguely and has no clear meaning unless qualified by some description.

It is least ambiguous when used in reference to flames where the

combining gases are mixed in theoretical proportions before issuing from

the burner. The flame in such a case has considerable thickness and

uniformity, and, though the temperature is not constant throughout,

flames of this type given by different combustibles admit of comparison.

In other flames where the shells of combustion are thin and envelop

large regions of unburned or partly-burned gas, it is not clear how

temperature should be specified. An ordinary gas-flame will not, from

the point of view of the practical arts, give a sufficient temperature

for melting platinum, yet a very thin platinum wire may be melted at the

edge of the lower part of such a flame. The maximum temperature of the

flame is therefore not in any serious sense an available temperature. It

will suffice to point out here that in order to burn a gas so that it

may have the highest available temperature, we must burn it with the

smallest external flame-surface obtainable. This is done when the

combining gases are completely mixed before issuing from the burner.

Where this is impracticable we may employ a burner of the Bunsen type,

and arrange matters so that a large amount of primary air is supplied.

It is in this direction that modern improvements have been made with a

view to obtaining hot flames for heating the Welsbach mantle. The Kern

burner, for example, employs the principle of the Venturi tube. Where

much primary air is drawn in it is usual to provide for it being well

mixed with the gas, otherwise an unsteady flame may be produced with a

great tendency to light back. The burner head is therefore usually

provided with a mixing chamber and the mixture issues through a slit or

a mesh. A great many modified Bunsen burners have been produced, the aim

in all of them being to produce a flame which shall combine steadiness

with the smallest attainable external surface.

To estimate the temperature of flames several methods have been

employed. The method of calculation, based on the supposition that the

whole heat of combustion is localized in the product (or products) of

combustion and heats it to a temperature depending on its specific heat,

cannot be applied in a simple way. Apart from the assumption (which

there is reason to suppose incorrect) that none of the chemical energy

assumes the radiant form directly, we have to regard the possible change

of specific heat at high temperatures, the likelihood of dissociation

and the time of reaction. Any practical consideration of temperature

must have regard to a large assemblage of molecules and not to a single

one, and therefore any influence which means delay in combination will

result in reduction of temperature by radiation and conduction. It can

hardly be maintained that in the present state of knowledge we have the

requisite data for the calculation of flame temperature, though good

approximations may be made. Many attempts have been made to determine

flame temperatures by means of thermo-electric couples and by radiation

pyrometers. The couple most employed is that known as H.L. le

Chatelier's, consisting of two wires, one of platinum and the other an

alloy of 90% platinum and 10% of rhodium. When all possible precautions

are taken it is possible by means of such thermo-couples to measure

local flame temperatures with a considerable degree of accuracy.

Subjoined are some results obtained at different times and by different

observers with regard to the maximum temperatures of flames:--

Coal gas in Bunsen burner (Waggener, 1896) 1770 deg. C.

" " " " (Berkenbusch, 1899) 1830 deg.

" " " " (White & Traver, 1902) 1780 deg.

" " " " (Fery, 1905) 1871 deg.

Encyclopaedia Britannica, 11th Edition, "Finland" to "Fleury, Andre" Volume 10, Slice 4 · 第 46 / 53 题