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The comparative mechanical instability of the two phases is well illustrated in the stretching of wires under tension. Annealed wires, which are in the phase, stretch when they are stressed beyond the yield point; hardened wires, which are partly in the A phase, do not stretch-they break without extension when their limit of tenacity is reached.

The homogeneous C phase in ductile metals has no true breaking point-it yields and stretches when stressed beyond the elastic limit, and in so doing it passes partly into the A phase, and rupture occurs at the breaking point of the mixed structure. The tenacity of the mixed structure approaches, but never quite reaches, that of the homogeneous A phase. For the purpose the authors had in view it was necessary to obtain the metals as nearly as possible in this homogeneous condition.

Wire drawing was the means employed for the breaking down of the C phase. After a wire had been stretched to four or five times its original length by drawing it through the holes of a wire plate, all the ordinary traces of crystalline structure disappeared, but it still consisted of minute granules of the C phase embedded in a matrix of the A phase. Further drawing at the same temperature alters the mixed structure only slightly; for each temperature there appears to be a certain mechanical equilibrium between the phases. By lowering the temperature of drawing, the c phase is further broken down into still smaller granules, and the mixture approaches more nearly to the homogeneous A state.

(a) Fig. 1 is a photograph of a gold wire which has been etched after drawing The flow lines near the surface consist of rows of granules. (b) On the same photograph, shows the effect of heating another piece of the same wire to about 400°. Removal of the surface by etching now discloses the fully developed crystalline grains with their differently oriented lamellæ. The thermal transformation from A to C has taken place, and the wire is restored to the soft condition. Figs. 2 and 3 are photomicrographs at higher magnifications, which show the details of structure more fully. Fig. 2 is the granular structure by oblique light at a magnification of 250, and Fig. 3 is the crystalline structure by normal light at a magnification of 700.

The observations were made on wires which had been as completely as possible converted into the A phase by wire drawing at the ordinary temperature, and in every case the tenacity observed was higher than any which had been recorded by previous observers for equally pure metals.

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The wires broken at the ordinary temperature showed no general stretching. There was a slight extension of from per cent. to 1 per cent., due entirely to a sharp reduction of diameter at the actual point of rupture. At the boiling point of liquid air all the wires stretched from II per cent. to 12 per cent. This stretching was uniform over the whole length between the grips. This was confirmed by exact measurements of the diameter at a number of points.

The appearance of the fractured ends revealed several points of interest. In every case the copper wires showed the cupped formation at the extreme end. This formation is evidently due to the lower tenacity of the central core, due to the presence of gas bubbles which have been drawn out into long tubes or cells. The silver wires occasionally showed a slight cupped formation, but in this case the gas bubbles to which it was due were globular, as if they had been evolved at the moment of fracture. The gold wires were practically free from sponginess, and the frac tures were almost perfectly viscous (Fig. 4).

By drawing wires at the lowest possible temperatures the authors hope to obtain the ductile metals in their] condition of maximum tenacity, and from the figures then

available to be able to calculate the molecular cohesion at the absolute zero.

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July 29.-" Studies on Enzyme Action. VIII.-The Mechanism of Fermentation.' By E. Frankland Armstrong. Communicated by Prof. H. E. Armstrong.

The experiments described, which were begun in the Carlsberg Laboratory, Copenhagen, were undertaken to ascertain, if possible, the manner in which the activity of the various organisms giving rise to alcoholic fermentation is dependent on, or influenced by, the enzymes which they contain. The action of twenty selected yeasts on each of the four hexose sugars glucose, fructose, mannose and galactose, and on the disaccharides cane sugar, maltose and milk sugar, was investigated. All the yeasts tested were able to ferment glucose, mannose and fructose, but quite a number were unable to ferment galactose. It is shown that inability to ferment galactose has nothing to do with the absence from the yeast of any one of the sueroclastic enzymes, since yeasts are to be found which are without action on galactose; in fact, the fermentation of glucose and galactose is brought about by different mechanisms.

The results further indicate that the power of a yeast to ferment mannose, glucose or fructose is clearly in no way conditioned by the presence of a particular sucroclastic enzyme; indeed, it would seem that the occurrence of alcoholic fermentation is altogether independent of the presence of an enzyme-whether free or fixed-able to induce the hydrolysis either of maltose or of sucrose.

The fact that the three hexoses which behave alike have one common enolic form is of utmost significance as an indication that the formation of the enol is the initial stage in the fermentation of the hexose, and that the breakdown of the molecule commences at the terminal carbon atom.

Chemical Society, November 2.-Prof. R. Meldola, F.R.S., president, in the chair.-Molecular conductivity of Water: P. Blackman. The stereoisomerism of substituted ammonium compounds: H. O. Jones. Wedekind's supposed B-phenylbenzylmethylallylammonium iodide is proved to be in reality phenylbenzyldimethylammonium iodide. At present optical activity is the only evidence of stereoisomerism of quinquevalent nitrogen compounds of the type Nabed,X, and the hypothesis suggested by the author (Trans. Chem. Soc., 1903, lxxxiii., 1403), slightly developed, is adequate to explain all the known facts.-Note on the fluorides of selenium and tellurium: E. B. R. Prideaux. The fluorides of selenium and tellurium are gaseous substances, easily condensable by cold, forming white, snow-like solids. They have the formulæ SeF, and TeF-The constitution of glutaconic acid: J. F. Thorpe. -Some alkyl derivatives of glutaconic acid and 26-dioxypyridine: H. Rogerson and J. F. Thorpe.Note on the formation of B-methylglutaconic acid and of a6-dimethylglutaconic acid: F. V. Darbishire and J. F. Thorpe. The influence of water and alcohols on the boil

of

ing point of esters. A modification of Markownikoff's method of preparation: J. Wade. The Markownikoff interaction proves on investigation to proceed in most cases readily at 100°, and in presence of any strong acid; it may be modified to afford a general and practically automatic method of preparing the lower alkyl esters of such acids as formic, acetic, propionic, and butyric.-Note on bromine fluoride: E. B. R. Prideaux. Fluorine when passed over bromine combines with it to form a pale yellow Iquid, which freezes to a white solid, melting at -2°, and which probably has the formula BrF,.-Solution and Pseudo-solution: E. Linder and H. Picton. The authors discuss (1) the physical and chemical properties of colloidal arsenious sulphide; (2) the physical and chemical properties of colloidal ferric hydroxide; (3) dyeing, a phase of coagulation. The influence of very strong electromagnetic fields on the spark spectra of ruthenium, rhodium, and palladium: J. E. Purvis. The general results showed that i) most of the lines are divided into triplets, and that there is a periodic or rhythmic change in the direction of the vibrations of the constituents of the triplets; (2) some lines become quadruplets, and within certain definite regions of the spectrum their constituents also change the direcions of their vibrations; (3) other lines become doublets; 4) the inner member of the triplets is usually the strongest ;

(5) the strongest spectral lines are not the most widely separated when vibrating in the field; and (6) the decrease in the width of the triplets does not proceed pari passu from the less to the more refrangible end of the spectrum. —A volumetric method of estimating the cinchona alkaloids by means of their double thiocyanates: P. W. Robertson. Notwithstanding the complexity of double salts of this type, the determination of the amount of thiocyanate removed from solution by the alkaloids forms an accurate and speedy volumetric method of estimating quinine in the commercial drugs and in the assay of the crude cinchona bark.-The osmotic pressure of sugar solutions in mixtures of alcohol and water: P. S. Barlow.

Mathematical Society, November 9.-Prof. A. R. Forsyth, president, in the chair.-The De Morgan medal was presented to Dr. H. F. Baker.-On improper double integrals and On the arithmetic continuum : Dr. Hobson. In the first of these papers necessary and sufficient conditions are obtained in order that a double integral, of which the integrand becomes infinite at an infinite number of points within the domain of integration, can be transformed into a repeated integral, so as to be capable of being evaluated by successive integrations with respect to two variables. The second paper deals with some criticisms by J. König levelled against the fundamental notions of the theory of sets of points and with the possibility of a general construction of all irrational numbers. It is shown how a general definition of all numbers rational or irrational can be obtained, and that the set of numbers constructed by means of the definition has the essential properties of the continuum, that is to say, it is at once perfect" and "connected."-On the arithmetical nature of the coefficients in a group of linear substitutions of finite order (second paper): Prof. W. Burnside. An irreducible group of linear substitutions being given in any one of its possible forms, it may be possible to choose new variables so that, when expressed in terms of them, the coefficients of the substitutions belong to an assigned domain of rationality. The simplest domain of rationality for which this could be possible is that defined by the characteristics of the group. It is shown that, in general, apart from certain exceptional cases, it is possible to exhibit the group so that the coefficients belong to the domain of rationality defined by the characteristics. The result is obtained without introducing the theory of the reduction of the group when regarded as a permutation-group.-The continuum and the second number-class: G. H. Hardy. The paper is a reply to a criticism by Dr. Hobson of a construction for certain transfinite numbers given by the author in the Quarterly Journal of Mathematics, vol. -On the asymptotic value of a type of finite series: J. W. Nicholson. On an extension of Dirichlet's integral: Prof. T. J. I'A. Bromwich,

PARIS.

XXXV.

Academy of Sciences, November 6.-M. Troost in the chair. On the mixed derivatives of dextrorotatory camphoric acid and on B-campholide: A. Haller and G. Blanc. The esterification of camphoric acid by methyl alcohol and hydrochloric acid gives poor yields, the acid ester being produced in considerable quantity. By treatment with phosphorus trichloride, the latter forms the corresponding chloride, from which the neutral ester can be quantitatively obtained by treatment with methyl alcohol. The compounds obtained by the action of ammonia and phenylhydrazine upon the chloride are also described, and the preparation of the B-campholide by the reduction of the neutral methyl ester with sodium. The yields of the latter ester are poor, and the attempt to prepare from it an isomeric cyanocampholic acid was not successful.-The evolution of the Tertiary mammals: the importance of migrations: Ch. Depéret. The author emphasises the importance of an exact study of the migrations of mammals at different periods in order to explain the appearance of a given group in strata not containing their immediate predecessors, and gives details for the Eocene fauna.— On recurrent convergent relations: Pierre Boutroux.-On a certain category of functions: H. Padé.—On the impossibility of negative impulse waves in gases: Gyözö Zemplén. An impulse wave is a surface propagated in a

72

NATURE

In gas the density and velocity of which undergo abrupt variations. Such a wave is not purely adiabatic, even when the gas is isolated from all sources of external heat. the case of a positive wave the gas itself is a source of heat, and the entropy of the system increases; the inverse case is not possible.-Remarks on the preceding note: M. Hadamard. Researches on gravitation: V. Crémieu. It is shown that it is possible to repeat the Cavendish experiment in liquids under conditions equal, if not superior, to those realised in air.-On the electrical conductivity of The selenium in these experiselenium: Maurice Coste. ments was placed between gold plates 1 mm. apart. The gold has the advantage over other metals of not forming a selenide, the conductivity of which might interfere with the accuracy of the results. If the selenium is rapidly It has been cooled, the resistance is above 50 megohms, but after annealing it falls to some thousand ohms. found that to obtain a selenium that is very sensitive to the action of light it is necessary to have it in the metallic Thovert. The ultra-violet state in a form as compact as possible.-The determination of calorific conductivity: J. spectra of the purins: Ch. Dhéré. Thirteen photographs were made on the same plate, the first being the comparison spectrum, the others the absorption spectra of the aqueous solution of the purin considered with progressively inare given for 6-oxypurin, creasing thickness. Results xanthin, and uric acid.-On the reduction of oxides and on a new method of preparation of the compound SiMn, by means of aluminium: Em. Vigouroux.-Molecular transpositions and the migration of carboxyl in the dehydration of certain acid-alcohols: E. E. Blaise and A. Courtot. The ethyl ester of BB-dimethyl-6-phenylhydracrylic acid, under the influence of phosphoric anhydride, gives dimethylatropic acid. The removal of water in this reaction must have been preceded by the migration of the carboxyl group, and furnishes the first example of such a migration.—On the crystallography of a double_compound of ammonium chloride and nickel bromide: Fréd. Wallerant.-RheoThe yolks of the tropism of some hydroids: Paul Hallez.-Experiments on the toxicity of eggs: Gustave Loisel. eggs of the chicken, duck, and tortoise contain substances which, when injected into the veins, under the skin, or in the general cavity of the body, determine promptly the death of the injected animals.-Contribution to the study The of Corti's organ: M. Marage. On the nature of the pigments of the blood: MM. Piettre and Vila. author has repeated Nencki's work on the composition of Teichmann's crystals, and obtains analytical results for the substance which vary with varying conditions of preparation, and hence concludes that the formula attributed to the substance is illusory.-Researches on the fatty acids. Experimental lesions: Jean Camus and Ph. Pagniez.-On the age of the Vire granite: A. Bigot.-On the parallelism of the Upper Eocene strata of Biarritz and Vincentin : Jean Boussac.-On the storm of July 4 in the district of Orleans M. Maillard.

DIARY OF SOCIETIES.

THURSDAY, NOVEMBER 16.

ROYAL SOCIETY, at 4.30.-The Physical and Chemical Properties of Iron
Carbonyl: Sir James Dewar, F.R.S., and H. O. Jones.-The Transit of
Ions in the Electric Arc: A. A. Campbell Swinton.-First Photographs
of the Canals of Mars: Prof. Percival Lowell.--On the Laws of Radiation:
Prof. J. H. Jeans.-The Pressure of Explosions. Experiments on Solid
and Gaseous Explosives: J E. Petavel.-The Accurate Measurement of
Prof. R. C. Maclaurin.-The
Ionic Velocities: Dr. R. B. Denison and Dr. B. D. Steele.-On Newton's
Rings formed by Metallic Reflection:
Electrical Conductivity of Dilute Solutions of Sulphuric Acid: W. C. D.
Whetham, F.R.S.
CHEMICAL SOCIETY, at 8.30.-Silicon Researches, Part ix., Bromination
Condensation of Ketones with
of Silicophenyl Imide and Amide, and Formation of a Compound in-
cluding (SIN): J. E. Reynolds. -
Mercury Cyanide: J. E. Marsh and R. de J. F. Struthers.--Applica
tion of the Microscopic Method of Molecular Weight Determination to
High Boiling Solvents: G. Barger and A. J. Ewins. -Green Compounds
of Cobalt produced by Oxidising Agents: R. G. Durrant.-Synthesis of
Tertiary Menthol and of Inactive Menthene: W. H. Perkin, jun.-
Optically Active Reduced Naphthoic Acids, Part i., Dextro-(2 or 3).
dihydro-1-naphthoic Acid: R. H. Pickard and A. Neville.
LINNEAN SOCIETY, at 8.-Contributions to the Embryology of the
Amentiferæ Dr. Margaret Benson, Elizabeth Sanday and Emily
Berridge. On the Ears of certain Sharks: Prof. Chas, Stewart, F.R.S.
FRIDAY, NOVEMBER 17.

INSTITUTION OF MECHANICAL ENGINEERS, at 8.-The Seventh Report
to the Alloys Research Committee; On the Properties of a Series of

Iron Nickel-Manganese-Carbon Alloys: Dr. H. C. H. Carpenter,
R. A. Hadfield, and P. Longmuir.

MONDAY, NOVEMBER 20.

ROYAL GEOGRAPHICAL SOCIETY, at 8.35.-First Exploration of the Hob
Lumba and Sobson Glaciers (Himalaya): Mrs. F. B. Workman.
SOCIOLOGICAL SOCIETY, at 8.-The Origin and Function of Religion:
A. E. Crawley.

TUESDAY, NOVEMBER 21.
Gres:
ANTHROPOLOGICAL INSTITUTE, at 8.15.-Exhibition of Photographs of
North American Indians: J. S. Chase.-Boomerangs: N. W. Thomas
CIVIL ENGINEERS, at 8.-On Waterways in
INSTITUTION OF
Britain (Discussion): J. A. Saner.

WEDNESDAY, NOVEMBER 22.
GEOLOGICAL SOCIETY, at 8.-On a New Specimen of the Chimaroid Fit
Myriacanthus paradoxus, Ag., from the Lower Lias of Lyme Regis
Dr
Dr. A. Smith Woodward, F.R.S.-The Rocks of the Cataracts of the
River Madeira, and the adjoining Portions of the Beni and Mamore:
Dr. J. W. Evans.-The Doncaster Earthquake of April 23, 1905:
C. Davison.
SOCIETY OF ARTS, at 8.-The Cinematograph and its Applications:
F. Martin-Duncan.
THURSDAY, NOVEMBER 23.

ROYAL SOCIETY, at 4.30.-Probable_Papers: On the Nature of the
Galvanotropic Irritability of Roots: Dr. A. J. Ewart and Miss Bayliss-
Some Observations on Welwitschia mirabilis, Hooker-f.: Prof. H. H. W
Pearson. On the Effects of Alkalies and Acids, and of Alkaline an
Acid Salts, upon Growth and Cell Division in the Fertilised Eggs c
Echinus esculentus; a Study in Relationship to the Causation
Malignant Disease: Prof. B. Moore, Dr. H. E. Roaf, and E. Whitley.-
A Note on the Effect of Acid, Alkali, and Certain Indicators in Arresting
or Otherwise Influencing the Development of the Eggs of Pleuronecti
platessa and Echinus esculentus: E. Whitley.-On Certain Physic
and Chemical Properties of Solutions of Chloroform and other Anz-
thetics. A Contribution to the Chemistry of Anesthesia. (Second Coz
munication): Prof. B. Moore and Dr. H. E. Roaf.-(1) On th
Possibility of Determining the Presence or Absence of Tubercular Inf
tion by the Examination of a Patient's Blood or Tissue Fluids : (2) C
Spontaneous Phagocytosis and on the Phagocytosis which is obtained
with the Heated Serum of Patients who have responded to Tuberca 2
Infection, or as the Case may be to the Inoculation of a Tuberca
Vaccine: Dr. A. E. Wright and Staff-Surgeon S. T. Reid, R. N.-G
the Occurrence of the Heterotypical Mitosis in Cancer: Dr. E. F
Bashford and J. A. Murray.

CONTENTS.

"Mathematics" applied to Chemistry

An Ornithologist's Journals.

Practical Sea-fishing. By Frank Balfour Browne
Matter and Force.

Our Book Shelf:

Buckmaster: "A Descriptive Handbook of Architec

ture.

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"Proceedings of the London Mathematical Society,"
Vol. ii.

Oates and Reid: "Catalogue of the Collection of
Birds' Eggs in the British Museum (Natural
History)"

Davenport, and
Hulme, Parker, Seymour-Jones,
Williamson: "Leather for Libraries."-H. M.
Letters to the Editor:

British Mosses.-E. F.

Border occasionally seen between Light and Dark
Regions on Photographic Prints.-Sir Oliver
Lodge, F.R.S.

Halation.-J. A. Cobb

The Engineer's Unit of Force.-D. J. Carnegie:
The Reviewer

The Exploration of the Atmosphere over the
Tropical Oceans. (Illustrated.) By Dr. A. L. Rotch
and L. Teisserenc de Bort

South African Zoology and Palæontology. By R. L.
Scientific Research in the Philippine Islands. (Illus
trated.) By Prof. R. T. Hewlett.

Dr. Walter F. Wislicenus.
Notes

Our Astronomical Column :—

A Suggestion for the Next International Scheme
Phoebe, the Ninth Satellite of Saturn
Graphical Method of determining Altitudes and

Azimuths

The Meteors of Biela's Comet

The Magnitude of 7 Argus.

Engineering at the British Association. By T, H. B.
Anthropology at the British Association

The Solar Observatory on Mount Wilson, Cali
fornia. (Illustrated.) By Prof. G. E. Hale.
University and Educational Intelligence
Societies and Academies.

Diary of Societies.

(Illustrated.)

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