Phase ternary

In the absence of special syimnetry, the phase mle requires a minimum of tliree components for a tricritical point to occur. Synnnetrical tricritical points do have such syimnetry, but it is easiest to illustrate such phenomena with a tme ternary system with the necessary syimnetry. A ternary system comprised of a pair of enantiomers (optically active d- and /-isomers) together with a third optically inert substance could satisfy this condition. While liquid-liquid phase separation between enantiomers has not yet been found, ternary phase diagrams like those shown in figure A2.5.30 can be imagined in these diagrams there is a necessary syimnetry around a horizontal axis that represents equal amounts of the two enantiomers. 

Figure C2.3.10. Ternary phase diagram of surfactant, oil and water illustrating tire (regular) and (reverse) L2 microemulsion domains.

Ternary Alloys. Almost ah commercial ahoys are of ternary or higher complexity. Ahoy type is defined by the nature of the principal ahoying additions, and phase reactions in several classes of ahoys can be described by reference to ternary phase diagrams. Minor ahoying additions may have a powerflil influence on properties of the product because of the influence on the morphology and distribution of constituents, dispersoids, and precipitates. Phase diagrams, which represent equhibrium, may not be indicative of these effects. 

Fig. 26. Ternary-phase diagram for the system styrene—PS—polybutadiene mbber.

Ternary-phase equilibrium data can be tabulated as in Table 15-1 and then worked into an electronic spreadsheet as in Table 15-2 to be presented as a right-triangular diagram as shown in Fig. 15-7. The weight-fraction solute is on the horizontal axis and the weight-fraciion extraciion-solvent is on the veriical axis. The tie-lines connect the points that are in equilibrium. For low-solute concentrations the horizontal scale can be expanded. The water-acetic acid-methylisobutylketone ternary is a Type I system where only one of the binary pairs, water-MIBK, is immiscible. In a Type II system two of the binary pairs are immiscible, i.e. the solute is not totally miscible in one of the liquids. 

We have recently shown that the hydrophobic hexafluorophosphate ILs can in fact be made totally miscible with water by addition of alcohols [47, 48] the ternary phase diagram for [BMIM][PF(3]/water/ethanol (left part of Figure 3.3-7) shows the... 

Figure 3.3-7 Ethanol/water/[BMIM][PFg] ternary phase diagram (a, left) and solute distribution...

Figure 3. Charge and discharge curves of an Li/Li[Li0jMn, 9]04 cell cycled at voltages between 3.0 and 4.4V at a rate of 0.1 mAcnT2 at 30 °C. To describe the composition of an Li-Mn-O ternary phase a defect-spinel formulation was assumed.

It was shown some time ago that one can also use a similar thermodynamic approach to explain and/or predict the composition dependence of the potential of electrodes in ternary systems [22-25], This followed from the development of the analysis methodology for the determination of the stability windows of electrolyte phases in ternary systems [26]. In these cases, one uses isothermal sections of ternary phase diagrams, the so-called Gibbs triangles, upon which to plot compositions. In ternary systems, the Gibbs Phase Rule tells us... 

In order for this concept to be applicable, the matrix and the reactant phase must be thermodynamically stable in contact with each other. One can evaluate this possibility if one has information about the relevant phase diagram — which typically involves a ternary system — as well as the titration curves of the component binary systems. In a ternary system, the two materials must lie at comers of the same constant-potential tie-triangle in the relevant isothermal ternary phase diagram in order to not interact. The potential of the tie-triangle determines the electrode reaction potential, of course. 

Figure 16. Calculated isothermal Li-Cd-Sn ternary phase stability diagram at ambient temperature [48],...

B. Ternary Phase Diagram from Binary Data. 196... 

Once the solubility and coexistence curves have been determined, the complete ternary phase diagram may be constructed. This procedure is illustrated by the example shown in Fig. 28. The following parameters have been used ... 

Case I. At sufficiently low pressures, the solubility curve does not intersect the coexistence curve. In this case, the gas solubility is too low for liquid-liquid immiscibility, since the coexistence curve describes only liquid-phase behavior. Stated in another way, the points on the coexistence curve are not allowed because the fugacity f2L on this curve exceeds the prescribed vapor-phase value f2v. The ternary phase diagram therefore consists of only the solubility curve, as shown in Fig. 28a where V stands for vapor phase. 

Figure 3. Partial Ternary Phase Diagram for the CaC -rich Side of the CaCl2-CaF2-CaO System.

Present production processes use two stage counter-current extraction to remove americium from molten plutonium with magnesium chloride based salts. Both 35 mole % NaCl - 35 mole % KC1 - 3D mole % MgCl2 and 50 mole % NaCl-26 mole % CaCl2 - 24 mole % Mg Cl 2 are used for americium extraction. Figures 4 and 5 show the ternary phase diagrams for these salt systemsU0). 

Figure 4. Ternary Phase Diagram for the NaCI-CaCi2-MgCl2 System.

An example for a partially known ternary phase diagram is the sodium octane 1 -sulfonate/ 1-decanol/water system [61]. Figure 34 shows the isotropic areas L, and L2 for the water-rich surfactant phase with solubilized alcohol and for the solvent-rich surfactant phase with solubilized water, respectively. Furthermore, the lamellar neat phase D and the anisotropic hexagonal middle phase E are indicated (for systematics, cf. Ref. 62). For the quaternary sodium octane 1-sulfonate (A)/l-butanol (B)/n-tetradecane (0)/water (W) system, the tricritical point which characterizes the transition of three coexisting phases into one liquid phase is at 40.1°C A, 0.042 (mass parts) B, 0.958 (A + B = 56 wt %) O, 0.54 W, 0.46 [63]. For both the binary phase equilibrium dodecane... 

Phase diagram studies of the magnesium-al uminum-zinc system have shown that there exists a ternary phase, which has been given the name A phase or T phase (Egar, 1913 Koster Wolf, 1936 Koster ... 

Sn2Sl2, was said (385) to exist in an a and a )8 form. The crystal structures of both forms have been elucidated (119, 239, 240, 388). Apart from questions that still remain concerning the true relationship of a-and )8-Sn2Sl2, a publication by Fenner (121) on the synthesis and structure of a new ternary phase, Sn4SIe, contradicts both of the phase diagrams already mentioned. 

Although the phase diagrams of all of the systems PbY-PbXa (Y = S, Se, Te X = Cl, Br, I) have been published (see Fig. 32), contradictory data are to be found in the literature with respect to the existence and composition of ternary phases. Only four of them could be identified by structure determinations. They are summarized in Table XXII. 

Similarly, boron stabilizes a ternary phase (Nioo.iBeo.37XBeo7Bo3)2, a MgCu2-type structure, by substitution of small metal atoms on a typical metal site. ... 

Compositional, Structural and Bonding Variations in Ternary Phases of Lithium with Main-group and Late-transition Elements... 

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