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Discussion of the paper of WALTER 0. SNELLING, presented at the New York meeting, February, 1915, and printed in Bulletin No. 100, April, 1915, pp. 695 to 704. A. F. LUCAS, Washington, D. C.-Are the results of the experiments in practical operation? WALTER 0. SNELLING.-There have been no large-scale operations up to the present. The necessary conditions of temperature are easily arranged for, but the required condition of pressure, 800 lb., is not so simple a matter. The company has been working on this problem, and at the refinery in Oklahoma work of this kind is now being carried on. The way in which an ordinary still will leak at 50 lb., and more at 100 lb., leaves some doubt in the mind of many as to what can be clone at a continuous working pressure of 800 lb. On the other hand, the fact that they are making ammonia abroad by a method which employs higher pressures and temperatures than anything involved in this method, leads me to believe that the difficulties, which will undoubtedly arise when this is attempted on a commercial scale, can be overcome. WILLIAM N. BEST, New York, N. Y.-Is there any change in the calorific value of these oils?

Jan 5, 1915

By E. F. La Vigne

ON Aug. 10, 1884, the Retsof Mining Co. began the sinking of an 18 by 12-ft. shaft at Retsof, N. Y. Rock salt was reached in 1885, in September, at 1008 ft. below the surface. The first salt was shipped in the fall of 1885. A timber breaker was built in 1886. In July, 1895, there was a consolidation of the Retsof Mining Co., the Greigsville Salt & Mining Co., the Livonia Salt Co., and the Lehigh Salt & Mining Co. These consolidated salt companies are now known as the Retsof Mining Co., a subsidiary of the International Salt Co. Eventually all of the mines were closed except the mine of the Retsof Mining Co., at Retsof, Livingston County, New York. On July 6, 1921, about ½ mile south of the original shaft and plant of the Retsof Mining Co., a new 9 by 28-ft. concrete-lined shaft was started. The shaft is 1063 ft. deep from the top of the shaft collar to the bottom of the salt bed. At the same time a reinforced-concrete breaker and other buildings were erected. This new plant began opera-tions on Dec. 15, 1923. It was designed for a capacity of 3000 tons in 8 hours.

Jan 1, 1936

By Roy W. Moore

The Tom Reed Extension and Big Jim mines of United Eastern Mining Co. are situated in the Oatman district, Mohave County, Ariz., about 28 miles southwest of Kingman, the nearest railway point. Articles descriptive of the mine surface plant, mill construction, and plant operations have been written by Otto Wartenweiler,' the designing engineer; Wheeler 0. North12 when he was assistant general manager for the company, and Earle M. Bagley, mill superintendent.3 The last article covers average costs for the full time the mill was operated. The geology of the mines is described by F. L. Ransome 4 of the United States Geological Survey. Production was started in January, 1917, and the known orebodies were exhausted in May, 1925, showing a life of seven years and five months. On account of the comparatively short life and the fact that stoping operations were confined to two orebodies, little experimenting was done with mining methods. The two orebodies were in what is generally called the Tom Reed-United Eastern vein, which occupies a fault fissure having a normal displacement of several hundred feet. Seven or eight very productive ore shoots were mined along this vein in a distance of 1 1/2 miles, the two worked by the United Eastern being 1 mile apart. The maximum dimensions of the Tom Reed Extension ore shoot were: height, 750 ft.; length, 950 ft.; thickness, 48 ft. The vein structure varied from a solid quartz-calcite filling to a series of parallel stringers separated by andesite. From this body, 511,976 tons of ore were mined. (Fig. 1.) The maximum dimensions of the Big Jim orebody were: height, 450 ft.; length, 850 ft., thickness, 35 ft. Its structure was similar to that of the Tom Reed Extension but larger sections of the vein were made up

Jan 1, 1928

"In the mines producing over 500 tons per day, skips have replaced the old method of hoisting ore by cars run onto cages. In the car and cage method, two men (station tenders) trammed the loaded cars onto the one-deck cage, and as the production increased the one-deck cage was increased to two decks and later to four decks. Landing chairs at the underground stations were necessary in this method and were the cause of many serious accidents by being carelessly left in the shaft by the station-tenders when leaving one station for anotherabove. The labor and time occupied in loading the leaving cages were con¬siderable, and, at times of rapid hoisting, four men were necessary in taking off empty and caging loaded cars. This also required at the surface landing, as many as ten men on a shift to remove the loaded cars and replacing them with empties, and tram the loaded ones to the surface ore bins, where the railway cars were loaded.The skips used in Butte are generally of 100 cubic feet capacity and hold five tons of ore, and weigh 7,500 lbs. The cage above, to which the skip is attached, weighs 2,300 lbs. The skips dump automatically into a pocket of 50 tons capacity. Two men are with the skips underground and load them from 125 ton capacity ore-pockets, under each station, the bottoms of the pockets having an inclination of 50 degrees from the horizontal. At the bottom of these pockets a gate is operated by compressed air. The labor of loading the skips amounts only to the opening and closing of a valve in the air-line, the ore running by gravity into the skips.Besides the saving in labor, the use of the skips has removed the necessity of underground landing chairs in the shaft and the accidents which are inevitable where such chairs are used."

Jan 1, 1913

Mining and Metallurgical Society of America, 76 Beaver St., New York, N. Y. Percy E. Barbour, Secretary and Treasurer. This Society issues Bulletins each year containing papers presented, and accounts of Society business. The Bulletins each year are collected in a volume as the Proceedings for that, year. In 1931 Bulletins numbered 216 to 222, inclusive, were issued in the Proceedings for that year (vol. 24). In addition to the Bulletins two special volumes have been published: International Control of Minerals, $1; and World Survey of the Zinc Indusry, $2.25. A selected list of paper,,-from the last two volumes of the Proceedings: Vol. 24 (1931) : Bull. 216 The cycles of prices of non-ferrous metals, by L. Vogelstein; 218, Marketing problems, by T. M. McNiece; 222, Copper tariff number (a discussion of the copper tariff by a number of authors). Vol. 23 (1930): Bull. 208 to 215, inclusive: Bull. 208, Some aspects of the copper industry, by L. C. Graton; 209, The ethical question of developing Soviet mines; 213, Legal recognition of geophysical prospecting, by A. H. Rogers; The evolution of the metal cartels, by L., Domeratzky and L. Vogelstein; 214, Geological justification for "exploration permits," by L. C. Graton; 215, The future of nickel, by A. J. Wadhams.

Jan 1, 1933

The following is a, partial list of members and guests who called at Institute headquarters during the period Aug. 10, 1917, to Sept. 10, 1917. L. P. Barrett, Ann Arbor, Mich. Milo W. Krejci, Great Falls, Mont. H. J. Brown, Ridley Park, Pa. Chas. N. La Porte, Peoria, Ill. George M. Cheney, Guayaquil, Ecuador. Askin Nicholas, Bismuth, Australia. W. Lorrain Cook, Chicago, Ill. C. Edwin Nighman, Butte, Mont. John J. Croston, Atlanta, Ga. W. L. Remick, Norfolk, Va. A. F. Duggleby, Santiago de Cuba. T. C. Roberts, Jerome, Ariz. Geo. A. Easley, La Paz, Bolivia. Burr A. Robinson, New Haven, Conn. Burr J. French, Magdalena, Jal., Mex. J. L. Schueler, Peoria, Ill. A. D. R. Galloway, Komfrodua, W. Af. Walter L. Steele, Van Horn, Tex. P. R. Hines, Milwaukee, Wis. F. J. S. Sur, Denver, Colo. T. H. Jenks, Wickenburg, Ariz. C. A. Thomas, Dawson, Y. T., Canada. Paul S. King, Wilmington, Del. E. E. White, Ann Arbor, Mich. Harry Wolf, Golden, Colo. L. W. Bahney has left the Sheffield Scientific School, Yale, to become metallurgical engineer with the Scovill Manufacturing Co., Waterbury, Conn. H. B. Barling, formerly chief engineer of Breitung & Co., of New York, has been appointed manager of the mining department.

Jan 10, 1917

Discussion of the paper of EDWARD G. NORTON, presented at the New York meeting, February, 1915, and printed in Bulletin No. 97, January, 1915, pp. 93 to 102. G. D. HARRIS, Ithaca, N. Y. (communication to the Secretary *).¬Since I have on several occasions1 expressed at length my general views on this interesting subject, it seems fitting that I endeavor here to comment as briefly as possible on a few points suggested by the paper. Doubtless you all know of the rather extensive publications of Lachmann on mid-European salines and his scarcely successful, attempt to make the phenomena presented by our domes fit. into his "Exzeme" theory based on studies of European phenomena. This paper is a most welcome indication that scientific America is very much alive to the difficulties that have been encountered in attempts already made to explain the origin of the salt domes in the lower Mississippi embayment region. Praiseworthy, too, is the attempt to explain these phenomena by agencies still in operation. I may, perhaps, be permitted to state here that a former student of mine, and co-worker in Louisiana, A. C. Veatch, is now interested in the Algerian region, where it would seem similar dome-phenomena are to be found, and hopes may well

Jan 5, 1915

ST. LOUIS SECTION EUGENE MCAULIFFE, Chairman, J. N. HOUSER, Vice-chairman, VICTOR RAKOWSKY, Vice-chairman., H. G. WASHBURN, Vice-Chairman, W. E. MCCOURT, Sec'y-Treas., Washington University, St. Louis, Mo. H. A. BUEHLER, G. H. COx, L. C. GLENN, E. A. HOLBROOK, W. E. NEWNAM. The eighth meeting of the St. Louis Section was held at the Mercantile Club on Apr. 15, 1918. ,, The meeting was preceded by a dinner, at which 51 members and guests were present, and at which T. T. Brewster presided. Bradley Stoughton, Secretary of the Institute, and Major J. R. Fordyce were the guests of the Section. A number' of the Joplin members were obliged to leave before the close of the dinner, in order to make train connections. The Vice, chairman, therefore, called on Victor Rakowsky, who brought a message of greeting from the Southwest district. At the close of the dinner, the Vice-chairman, T. T. Brewster, introduced Bradley Stoughton, who talked on various subjects of interest to members of the Institute, especially the affiliation of local sections with those of other national engineering societies. The minutes of previous meetings were read and approved-and-the Treasurer presented a financial report covering the previous year.

Jan 6, 1918

By W. L. Austin

THE advance made in recent times in this branch of metallurgy is indicated y the attention the subject is receiving from important American copper-producing companies. Reference to the files of publications devoted to the mining industry discloses that some 20 American companies are actively investigating the amenability of their ore, or other material, to leaching methods, and that plants of varying capacities up, to 10,000 tons per day are under construction or are projected. Several leaching works are in commercial operation. It has been frequently pointed out that no method of leaching is universally applicable, for the reason that each ore differs in some particular from apparently similar ore found elsewhere, and also because local conditions are rarely the same even where the ore closely approximates in character that being worked at some other point. For this reason the older companies are approaching the matter in a conservative manner, experimentally determining for themselves the salient features in each instance. In considering a leaching proposition three factors at once fix the attention: (1) disengaging the metal from mineralized forms in Which it is found in nature; (2) recovering the metal in a commercial state after it has been dissolved; (3) the apparatus best adapted to carrying out the several operations.

Jan 8, 1914

By A. E. Wells

IN 1866, Thomas Graham1 called attention to the volume of gases, three times the volume of the sample, evolved from a meteoric iron heated in an evacuated porcelain tube. From that time to this the occurrence and significance of gases in metals have been the subject of investigation by many workers, among whom Sieverts,2 Iwasé3 and 0. W. Ellis4 stand preeminent. Sieverts and Iwasé concerned themselves with the solubility of a number of gases in metals in the liquid and solid states. They determined the absorption coefficients of these gases, and in all cases found a sharp change in solubility at the melting point of the metals. Ellis analyzed the gases evolved by solidifying copper and those occluded by the solidified metal. Lobley and Jepson5 endeavored to determine the effects of hydrogen, carbon monoxide and nitrogen on the porosity of copper that was allowed to solidify in the presence of each gas after 30 min. exposure to it in the

Jan 1, 1930

By H. F. McCullough

MECHANICAL loading and conveying equipment has been available for the coal-mining industry for more than twenty years. The earlier equip-ment-was admittedly crude and ill-fitted to perform its intended functions, but there are available today a variety of mechanical loaders and conveyors which may be said to be almost on a par with coal-cutting machines. Despite the fact that such equipment is available and that better and other types of equipment are continually being developed, mechanical loading of coal cannot yet be said to be economically successful, except in a few special cases. It is not an accomplished fact in the sense that machine cutting of coal and electric haulage are accomplished facts and a part of accepted practice. There are two general opinions why we have failed to obtain better results with mechanical loading and con-veying equipment. The equipment manufacturers will say that coal-mine operators have generally failed to establish and maintain the conditions required for suc-cess. The coal-mine operator says that the equipment is not adapted to cope with his specific conditions to the extent required for economically successful results. Just what is the objective of this movement toward mechanical loading? We speak of mechanical loading in such a way as to lead one to believe that we are mere-ly seeking a mechanical equivalent of the human loader and his shovel. Really, we are impressed with the fact that the coal-mining industry has not advanced toward greater productive efficiency to anything like the degree achieved by practically all of the other productive in-dustries, and we are seeking the means to remedy this. We have seen the advantages which follow the intro-duction of coal-cutters and electric haulage-locomotives. The loading of coal is the one major operation in coal mining which has not been mechanized. We believe that a satisfactory, mechanical substitute for the man with the shovel will help us increase our productive efficiency to the same degree as has been accomplished in the other productive industries.

Jan 3, 1927

By J. King Hoyt

IN both Sweden and England rapid progress is being made in metallurgical development, and the steel industry in both countries is distinctly on the mend. There has been some industrial trouble in Sweden in the iron mines and the wood pulp mills, but at the same time all the steel works have a sufficient stock of pig iron and ore to continue their operations for many months to come. Consequently the strike, unless long protracted, will not affect the output of steel in Sweden. Several of the steel manufacturers in Sweden, most notably Forsbacka and Sandviken, have been very suc-cessful recently in securing large orders, particularly from the continent, for ball-bearing steel, both hollow and solid. Whereas some years ago they ran into-se-rious competition with the German mills, the quality of the steel from these Swedish mills is such that they are now firmly established, and are selling some of the lead-ing manufacturers of bearings on the Continent, as well as automobile manufacturers. The secret of their success seems to lie in a better selection of ores, in more careful control of blast-fur-nace operations and better equipment. Rule of thumb in steel making is taboo, and strict reliance is placed on the laboratory. They are constantly experimenting, and metallurgists and chemists are sent to different countries for study and investigation. In their native ores they have, of course, a unique advantage in pos-sessing iron ores extraordinarily free from phosphorus. At Forsbacka, they are not content with the ordinary chemical analysis of the ingot; but also test the physical properties, as well as make metallographic investiga-tions for slag inclusions, segregations and oxides. In both England and Sweden they watch the nitrogen con-tent of the steel very carefully, a feature which does not appear in the ordinary analysis. In testing carbon, they do not use the color test, but employ an electric .induction device.

Jan 7, 1928

By Henry Louis

The present paper comprises two parts, which have but little con nection with each other. The first is practically a continuation of the investigation on the specific gravity of gold liberated by means of acids from its alloys, on which subject I had the honor of presenting a brief note to the Institute in 1893 (Trans., xxii., 117); the second describes a series of experiments on the behavior of amorphous gold under the action of heat. By the kindness of Prof. W. C. Roberts-Austen, C.B., F.R.S., chemist to the Royal Mint, I have been permitted to conduct these experiments in the mint assay-office, all the splendid resources of which institution were freely placed at my disposal. I desire at the outset to express my obligations to Prof. Roberts-Austen and to all the staff of the mint assay-office for their kind assistance at all stages of my experiments. I.—The Specific Gravity of Gold in Alloys. In the note already referred to, I published my discovery that the gold left on dissolving out the silver from an alloy of gold and silver (which I shall here term " residual amorphous gold ") has a higher specific gravity than ordinary molten gold. I also pointed out that I had worked on very small quantities of material and with balances and weights on the accuracy of which I could not implicitly rely, and that in so far my numerical data were inconclusive, although I had but little doubt of the correctness of the broad fact. The experiments now recorded were made under the most advantageous circumstances and with various refinements. Particularly, I found that the ordinary form of specific-gravity bottle was responsible for several small sources of error; and I accordingly designed an improved form (Journal of the Society of Chemical Industry, April 30,1894, vol. xiii., p. 322), which I used for this work. The

Jan 1, 1895

By W. R. Ingalls

I WAS led some time ago to draft a statement of economic principles immediately affecting our national welfare from the standpoint of the engineer. It was the intention to offer this to the American Engineering Council as a resolution to be adopted, or a declaration to be made, of course after suitable con-sideration and debate. The presentation has not been . formally made, but I have been asked to let it be made to the mining engineers through the medium of MINING AND METALLURGY, the American Institute of Mining and Metallurgical Engineers being a constituent part of the Federated American Engineering Societies. I shall welcome any expressions of opinion that this statement may inspire. The statement follows: The engineers of, the United States, functioning through the American Engineering Council of the, Federated American Engineering Societies, feel it their duty to advise the American people respecting the present state of economic affairs in the nation, just as an individual engineer would his client. The people of the United States constitute a great corpora-tion, whose business affairs are analogous to those of a commercial company -multiplied many times. The engineers feel constrained to offer their opinion owing to the responsibility to do things which rests upon them. Confronted by the steady impoverishment of natural resources and the operation of the economic law of diminishing returns it devolves upon management, functioning through the engineering profession aided by scientists, to make such improvements leading to increased production and such elimination of wastes as to offset the increasing adversities of nature merely to hold our own; and to do more than offset them in order to improve the scale of living of the people. The engineers accept this responsibility, but in so doing they demand attention to their advice respecting fundamental economic matters, lest they be unduly hampered in the performance of the professional duties, which they acknowledge. The American Engineering Council therefore declares the following as the advice of engineers to the American people:

Jan 8, 1923

By C Woodward

AT the Belmont mine of the Anaconda Copper Min-ing Co., Butte, Mont., a new double-drum electric main hoist and a single-drum electric auxiliary hoist have recently been placed in operation to meet the demand for greater hoisting depths, and to replace a steam-driven hoist which was inefficient and inade-quate for the new conditions. The ease of operation, safety, and efficient consumption of power of the main hoist all tend toward improved hoisting conditions. It consists of a 2150 hp. d. c. motor, directly connected to a shaft carrying two drums equipped with clutches and brakes. The auxiliary hoist consists of a 1000 hp. d. c. motor directly con-nected to a single drum provided with the necessary brakes. Fig. 1 shows the general arrangement of the complete installation, with idler towers and head-frame. The headframe is built of Bethlehem H and G rolled sections, equipped with two 12-ft. dia. cast steel sheaves for the main hoisting ropes. The sheaves are mounted 129 ft., 6 in. above the collar of the shaft; and above them trolleys are provided for their removal or repairs. Between the headframe and the hoist machinery are two idler towers for supporting the ropes on 3-ft. man-ganese steel idlers provided with roller bearings which fleet on a fixed shaft. As a city street is between- the mine headframe, and hoists, it is necessary to protect the thoroughfare from drippings of the preservative compound used on the ropes which pass over the street. For this purpose, at the point where the hoisting ropes cross the street ,a bridge of trusses, supported on columns and roofed with corrugated iron, is provided from property line to property line. Since one of the idler, towers is set close to the street, a part of the structure is built in-tegral with the street covering. The general design of idler tower as well as the covering over the street is shown at A in Fig. 1.

Jan 9, 1927

By F. B. Plummer

THE physical properties of oil-producing sands, such as grain size, porosity, and permeability, are becoming more and more important in petroleum production engineering as oil fields are being repressured and rejuvenated. A number of excellent papers have been published recently on all three of these properties. Faucher, Lewis and Barnes1 give a com-plete survey of the work done through 1932 and contribute also much information on sands that they themselves have examined. Muskat and Botset,2 Wykoff, Botset, Muskat and Reed,3 Hurst,4 and Muskat5 have contributed a great deal to the theory and actual measurement of flow of liquids and gases through porous media. Muskat and Botset have measured the permeabilities of different sands with gases and liquids. They find that the radial is always slightly under the linear permeability. However, in most of the previous experiments small samples of the sand were used, and the method of production of fluid or gas through the sands has not been very close to actual oil-field conditions. In addition, so far as the authors are aware, no measurements of linear and radial permeabilities have been made simultaneously under exactly the same conditions. The multiple permeability apparatus described here is a part of the equipment being acquired by this laboratory for thorough investigation of the physical properties of producing sands. It possesses certain advantages for comparative studies of liquid flow. Additional data and descriptions of other instruments will follow in papers to be written later on. The essential features of the permeability apparatus are as follows:

Jan 1, 1934

By J. W. Dougherty

THE Hollinger gold mine is in the Porcupine mining division, District of Cochrane, in the northern part of the Province of Ontario. The adjacent town of Timmins, with a population of 25,119, lies 490 miles by railway north of the city of Toronto. GEOLOGY The property is situated on the northwest limb of a major syncline, which pitches northeast at approximately 50°. The principal rocks of the Hollinger area are of pre-Cambrian age and consist of altered, schistose, Keewatin lava flows intruded by stocks of schistose, quartz-feldspar porphyry generally assigned to the Algoman period. The structure of the Keewatin series is extremely complex as a result of close folding and some faulting. The schistosity, trending north 70° east and dipping steeply to the southeast, is most highly developed along a subsidiary anticline in which the major porphyry bodies occur. The ore bodies, which exhibit three principal structures, consist of quartz veins and associated pyritized wall rock. Some lodes are com-posed of en echelon veins, others exhibit a main quartz body with branch-ing stringers and a third consists of a single definite lead. Gold, in a coarse visible form, may be confined to quartz in some ore bodies but in others it is finely divided and is found not only in quartz but also asso-ciated with pyrite in the adjacent wall rock. In many veins the dis-tribution of gold is such that there are several ore sections, separated by areas of low-grade material, in the same vein although its physical appearance remains unchanged.

Jan 1, 1940

By Arthur L. Hawthorne

10.1-1. Relative Position of Maintenance as Compared to the Overall Mining Costs. The basic issue regarding the importance of maintenance in the modern mining industry must be faced squarely by the top manage- ment of each company before any real progress can be made in organizing a maintenance program for optimum effectiveness. Just a few decades ago the maintenance at coal mines consisted primarily of a blacksmith for sharpening picks and shoeing mules; as a result, probably less than 5%of the total mining cost went to maintenance and some 80% was operating expenses (operating labor). With each succeeding advance in equipment design towards larger, more complex, and more productive units, the pendu- lum swings the other way. As an example, haulage trucks have progressed through various stages in the past 20 years from 15-ton units to a 240-ton truck now in the "shakedown" or experimental stage. The following com- parison between 15-ton, 50-ton, and 100-ton haulage trucks clearly illus- trates this changing cost pattern in terms of percent of overall costs for running each size unit. [Maintenance 24% 44 % 51 % Operating labor 59 % 33 % 16% Operating supplies (fuel oil) 4 %. 4% 3% Labor burden and vac. pay 6 % 4% 3% Depreciation Total] From the preceding figures it is interesting to note that, as a rule, operat- ing costs go down as the equipment gets larger and the maintenance costs increase with the larger units. This same trend in cost variation applies to nearly all mechanical equipment used in surface mining from the large

Jan 1, 1968

By R. P. Rothwell

THE first difficulty mentioned is that in some instances two or more beds of coal separated by sandstone or slate rocks of considerable thickness in one part of a basin, are found running together in another part. Of course, we may happen to strike first the part of the basin where there is but a single seam, and in this case the bed would appear to divide into two or more branches within a short distance. Such cases are not rare in the anthracite coal-fields. I would suggest as an explanation of this phenomenon the gradual sinking of the peat-marsh-the embryo coal-bed-on one side, and the moving forward of the marsh, so that on one part of the bed the formation of peat would still be progressing, while another part, being under water, would be covered with mud and sand. Thus we have different portions of the same bed of different ages. Now if the sinking of the marsh be stopped for a time, the bed will become thicker in the portions left exposed, and if the sinking now changes in direction, so that the part that had previously gone down com¬mences to rise, we should have the phenomenon of a bed, continuous throughout, with one portion overlying another, and separated from it by rock strata. These are exactly the conditions observed in splitting beds. While one side of the lake is sinking, and the peat-marsh moving on in that direction, the other side may be rising,

Jan 1, 1873

By J. E. Hilliard, H. E. Cook

It is shown that for systems having a miscibility gap the spinodal composition (c,) in the vicinity of the critical temperature (Tc) is related to the equilibrium composition (c,) by where cc is the critical composition. This expression is exart for the limit T — Tc and is a good approximation down to (T/Tc) - 0.9. If the miscibility gap meets the composition of the pure components THE recent theoretical treatment by cahn1,2 on spinodal decomposition of solid solutions has revived interest in methods of estimating the chemical spinodal, * i.e., the locus on a binary phase By use of the appropriate expression, the spinodal can be drawn on the Phase diagram almost by inspection with an accuracy comparable to that of lengthy calculations in which a free-energy function is fitted to the phase diagram. Satisfactory agveemenf is also obtained with spinodals comPuted from experimental free-energy curves. where G is the Gibbs free energy of the homogeneous solution and c the atomic fraction of component 2, the derivative being evaluated at constant temperature (T) and pressure (P). (These subscripts will hereafter be omitted from the partial derivatives.) If experimental measurements of G as a function of c and T are available in a single-phase region above the spinodal, then these can be extrapolated to obtain a series of metastable free-energy isotherms in the two-phase region, and from these isotherms a series of spinodal compositions can be calculated. Because the value of is very sensitive to experimental errors, an elaborate analytic procedure is required for

Jan 1, 1965