. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 159 ordinate of E' is i; -{â (m â mOAws or f + /x2A?n2 + miAwi, since Atwj = âAmi. If Af > n^^m^ + miAwi, the point E is above the point E'. Therefore the condition of stability of the phase D, with respect to continuous changes, is that the f-curve for adjacent phases shall be above the tangent at D, except at the single point of nig'O Trt^'l Fig. 7 33. Conditions with Respect to Temperature and the Potentials. Since (213) holds
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 159 ordinate of E' is i; -{â (m â mOAws or f + /x2A?n2 + miAwi, since Atwj = âAmi. If Af > n^^m^ + miAwi, the point E is above the point E'. Therefore the condition of stability of the phase D, with respect to continuous changes, is that the f-curve for adjacent phases shall be above the tangent at D, except at the single point of nig'O Trt^'l Fig. 7 33. Conditions with Respect to Temperature and the Potentials. Since (213) holds true of any two infinitesimally differing phases, within the limits of stabiHty, we may combine this condition, viz., rj"{t" - t') - v"{p" - p') + m,"W - Ml') . . + mn"{lXn" - fin) > 0, and the condition obtained by interchanging the single and double accents, , V'it' - t") - V'(p' - p") + W/W - Ml") . . + mâ'(Mn' - Hn") > 0,. 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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