. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. REPRESENTATION BY ZETA FUNCTION 297 vapors W and X and a' that of the binary vapor a. When the points of WX represent homogeneous mLxed crystals, then W'a'X' is the ^-curve of these mixed crystals, whilst W and X' are the respective ^-points of the pure solid substances W and X and a' that of the mixed crystalline phase a. 3. We now take two phases A and B with the compositions Xi mols X + (1 — Xi) mols W, X2 mols X -\- {\ — x^) mols W. If we bring together mi units of A an
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. REPRESENTATION BY ZETA FUNCTION 297 vapors W and X and a' that of the binary vapor a. When the points of WX represent homogeneous mLxed crystals, then W'a'X' is the ^-curve of these mixed crystals, whilst W and X' are the respective ^-points of the pure solid substances W and X and a' that of the mixed crystalline phase a. 3. We now take two phases A and B with the compositions Xi mols X + (1 — Xi) mols W, X2 mols X -\- {\ — x^) mols W. If we bring together mi units of A and nii units of B, and if we suppose that they continue to exist unchanged beside one another, then we have a system or phase complex miA + ?W2-B, (1). which may be stable or not. Let its total composition be represented by x mols X + (1 — x) mols W. Since this system contains in toto (mi + m2) mols and contains mia;i + mols X, we have X = mjXi + 702X2 mi + W2 From this follows 7ni{x — x^ = 7n2{x2 — x). (2) If we imagine the phases A and B and the system represented in Fig. 2 by the points a, h and s, then we have Xx = Wa,. 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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