. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. 644 RICE ART. L 51. Some General Ideas and Definitions Concerning the Possibility of a NeiD Homogeneous Mass Being Formed at a Line of Discontinuity or at a Point of Concur- rence of Such Lines Of course bulk phases might develop at a line of discontinuity or at a point where such lines meet. Gibbs considers the first of these possibilities in the subsection beginning on page 289, the second in the subsection beginning on page 297. The argument in each case runs on very muc
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. 644 RICE ART. L 51. Some General Ideas and Definitions Concerning the Possibility of a NeiD Homogeneous Mass Being Formed at a Line of Discontinuity or at a Point of Concur- rence of Such Lines Of course bulk phases might develop at a line of discontinuity or at a point where such lines meet. Gibbs considers the first of these possibilities in the subsection beginning on page 289, the second in the subsection beginning on page 297. The argument in each case runs on very much the same lines as in the treat- ment in pages 258-264 of the possible formation of a new phase between two phases, although it might not appear so on first. B Fig. 6 reading. We shall recast the argument in pages 289-297 so as to bring out this feature. First of all there must be certain relations between the surface tensions in order that the problem may not be trivial. In the first instance aBcit, n), crcAit, m), o-^b(^, M),must satisfy conditions of equilibrium, which necessitates any one of them being less than the sum of the other two. Now we assume that we know of a phase D and that we know for it the functional forms of (TAoit, fi), (TbdH, m), (Tcoit, m) as well as Voit, m)- The values of (Tbc, <rcA, (Tab determine the angles at which the surfaces B-C, C-A, A-B meet where no phase D exists. If the phase D is formed and is in equilibrium, (Tad, obd, (Tab will have to satisfy. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donnan, F. G. (Frederick George), 1870-1956; Haas, Arthur Erich, 1884-1941. New Haven, Yale University Press; London, H. Milford, Oxford University Press
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