Phase diagram quasi-ternary

Fig. 5.8 Phase diagram for the quasi-ternary Zr-(CI,I)-B cluster system.

As with the pnictates, a quasi-ternary phase diagram can be developed to map out possible compounds in this composition phase space using key chalcotetre-late building blocks. We have begun to make use of the peritectic nature of the starting materials, as this has facilitated reactions between phases. 

Figures 10.8S(a,b) show phase fraction plots for inclusions 1 and 2 in Table 10.4. These are plotted in such a way as to show the cumulative amount of all phases as well as their individual amounts. A quasi-ternary diagram was then plotted for an ideal inclusion with a fixed level of Al2O3=20.4wt% and MgO = 8.2wt% (Fig. 10.86). From this it can be seen that a slight increase in Si02 reduces the liquidus...

Fig. 9. Phase diagrams of quasi-ternary systems containing two different molecular weight samples a PHIC-toluene with (Ni, N2) = (4.46,0.38) [73] b schizophyllan-water system with (Nt, N2) = (0.930, 0.0765) [75,76]. (O, A) experimental coexisting isotropic phase ( , , ) experimental coexisting anisotropic phase dashed segments, experimental tie lines the shadowed triangular region, the IAA triphasic region thick full curves, theoretical binodals thin full segments, theoretical tie lines...

Liquid-Solution Models. The simple-solution model has been used most extensively to describe the dependence of the excess integral molar Gibbs energy, Gxs, on temperature and composition in binary (142-144, 149-155), quasi binary (156-160), ternary (156, 160-174), and quaternary (175-181) compound-semiconductor phase diagram calculations. For a simple multicomponent system, the excess integral molar Gibbs energy of solution is expressed by... 

In addition, several other models have been used with method I to calculate binary or ternary phase diagrams (183, 188-201). Among these models are the quasi chemical equilibrium model (188,190), truncated Mar-gules expansions (183,191, 192), Gaussian formalism (193), orthogonal series... 

What about the values of a and pi These values are obtained from Eq. (2.2.7) if the quasi-steady-state kinetics is assumed (Eq. 2.2.5). Alternately, polymerization rate could be assumed to be solely based on the propagation reaction. In both approaches, the start of the calculation is the determination of the temperature-polymer weight fraction relationship from the phase diagram. An approximate picture of this is shown in Fig. 2.5.1 (basal ternary diagram in Fig. 2.1.11), which follows the reaction trajectory in a representative ternary phase diagram. 

In this way we have limited ourselves to a quasi-binary system. Unless interrupted externally, the reaction will continue until at least one of the two reactants is completely consumed (Gibbs phase rule). If the reaction is interrupted at a time when both reactants are still present, then the reaction product will consist of a sequence of all those phases which occur in the phase diagram as compounds between the reactants A and B in the quasi-binary system, as long as local equilibrium is maintained. It can be seen that we have here a convenient method for investigating quasi-binary lines in ternary phase diagrams. 

Representation of three-component systems as a set of quasi-binary cross-sections is not quite rigorous for the most real ternary mixtures because a ratio of second and third components in equibbrium phases is not usually constant. However, if we intend to study the phase behavior from the point of view of topological schemes, the sequence of binary phase diagrams of quasi-binary sections (including the sections through the ternary nonvariant points) give an exhaustive description of possible phase equilibria and phase transformations in ternary systems. 

In derivation of ternary fluid phase diagrams (Figure 1.35) the experimental observations of an occurrence of two-phase hole L-G (completely bounded by a closed-loop critical curve Li = L2-G) in the three-phase immiscibility region bormded by a critical curve Li = G-L2 from the high-temperature side (quasi-binary cross-sections of type Id) (Peters and Gauter, 1999) are taken into account. In our derivations it was assumed that this two-phase hole L-G may appear in ternary three-phase immiscibility regions that spread from the binary subsystems of types lb and Ic. 

In this work, the LLE data for the ternary system of (water + 1-hexanol + TBA) at temperatures from (298.15 to 305.15 K) are presented. Here, TBA is used as a solvent in the separation of 1-hexanol from water. Complete phase diagrams are obtained by solubility and tie-line data simultaneously for each temperature. Selectivity values (S) are also determined from the tie-line data to establish the feasibility of the use of these liquid for the separation of (water + 1-hexanol) binary mixture. The experimental LLE data are correlated using the universal quasi-chemical (UNIQUAC). 

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