Gibbs energy curves/diagrams

Figure 4.7 (a) Phase diagram of the system KCl-NaCl. (b) Gibbs energy curves for the solid and liquid solutions KCl-NaCl at 1002 K. Thermodynamic data are taken from reference [5]. 

Figure 11.6. A temperature-composition phase diagram (bottom) is generated by a series of Gibbs energy curves for each phase at multiple temperatures. The top shows the Gibbs energy curves for the a solid solution and liquid phases at Ti (as a function of composition).

Figure 4.4a. The phase diagram and the Gibbs energy plot that correspond with one temperature to indicate the concentrations at which spinodal deposition or nucleation and growth occur. The spinodal area is at concentrations between the inflection points of the Gibbs energy curve. The binodal is the locus of concentrations that represent stable phases in coequilibrium.

Fig. 7. The diagram calculated by pressing the G curves button. The Gibbs energy curves are shown for all phases of the Al-Cu system at 1273 K.

Figure C2.1.10. (a) Gibbs energy of mixing as a function of the volume fraction of polymer A for a symmetric binary polymer mixture = Ag = N. The curves are obtained from equation (C2.1.9 ). (b) Phase diagram of a symmetric polymer mixture = Ag = A. The full curve is the binodal and delimits the homogeneous region from that of the two-phase stmcture. The broken curve is the spinodal.

Figure 7,8 Gibbs free energy curves and T-X phase relations for an intermediate compound (C), totally immiscible with pure components. Column 1 Gibbs free energy relations leading to formation of two eutectic minima separated by a thermal barrier. Column 2 energy relations of a peritectic reaction (incongruent melting). To facilitate interpretation of phase stability fields, pure crystals of components 1 and 2 coexisting with crystals C are labeled y and y", respectively, in T-X diagrams same notation identifies mechanical mixtures 2-C and C-1 in G-X plots.

Figure 9.9. Schematic diagram of the first derivative of the G/At curve in Fig. 9.8 showing the calculation of the minimum in the Gibbs energy as a function of N. ...

Let us now turn to some aspects of the kinetic theory and follow the transition process from an arbitrary unstable state with a given tj0. We ask for the path which is taken by the system and the rate to reach equilibrium, in other words, the approach to tieq. Possible reaction paths for a second-order phase transition are schematically illustrated in Fig. 12-6. It shows a Gibbs energy vs. tj diagram with T as the curve... 

From the idea of enzyme kinetics as a binding and a reaction step with the corresponding course of the energy curve in the Gibbs free enthalpy-reaction coordinate (AG - E) diagram, the reaction scheme represented by Eq. (2.1) can be drawn. 

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