Ternary projections

Fig. 54. Projections of crystallization surfaces of ternary interconnecting systems K, Na//Ct, NbF72 (top) and tC, Na //Cl, NbFs3 (bottom). Reproduced from [37], V. I. Konstantinov, Electrochemical obtaining of tantalum niobium and their alloys, Metallurgiya, Moscow, 1977, Copyright 1977, with permission of Metallurgiya - Mir .

Kamenskaya [221] and Konstantinov [37] investigated the concentration field adjacent to the KF - NbF5 side of the ternary interconnected system K+, Nb5+//Q2, F. Fig. 55 shows the projection of the crystallization fields. 

Fig. 57. Projections of the crystallization surfaces of the ternary systems K.2TaF7 - KF - KCl (top). Reproduced from [306], Z. Bin-Sin, N. P. Lushnaya, V. I. Konstantinov, Zh. Neorg. Khim. 8 (1963) 389, Copyright 1963, with permission of Nauka (Russian Academy of Sciences) publishing.

Projections, linearly independent, 293 Propagation, of polymerization, 158 Propane, hydrate, 10, 33, 43, 46, 47 hydrate thermodynamic data and lattice constants, 8 + iodoform system, 99 Langmuir constant, 47 water-hydrogen sulfide ternary system, 53... 

Figure 7.40. Structures of ternary derivative of the A1B2 type. The 3-, 4-, 6- stacking variants hP9-LiCaSn, hP12-YPtAs and oP36-CaCuGe are shown. Crosses indicate superimposed different atoms in projection of the translation unit.

Figure 15.5. Eutectic formation in the ternary system o-, m- and p-mtrophenol 3 a) Temperature-concentration space model b) Projection on a triangular diagram. (Numerical values represent temperatures in K)...

Aqplot projects SPECE8 calculations in a variety of ways, including ternary. Piper,... 

Figure 5,63 Quartz structure projected along axis z. Filled dots are Si atoms (oxygen atoms not shown), a-quartz (A) - ]8-quartz (B) transition takes place by simple rotation of tetrahedra on ternary helicogyre (adapted from Gottardi, 1972).

In petrology, the usual representation of phase equilibria in the crystalhzation process of ternary systems is based on a projection from the T axis onto the... 

Let us now treat compositional relations in the ternary system Di-An-Ab. Figure 7.14A shows the projection of the liquidus surface of the system onto the compositional plane the locations of cotectic line E -E" and of the isotherms are based on the experiments of Bowen (1913), Osborn and Tait (1952), and Schairer and Yoder (1960). 

Classification of Igneous Rocks Using Lithogeochemistry Data, Essential Rock Mineralogy, and Projective Geometry in a Streckeisen Ternary Diagram Approach... 

Keywords igneous rocks, petrographic dassification, lithogeochemistry, projective geometry, Streckeisen ternary diagrams. 

Two different methods have been presented in this contribution for correlation and/or prediction of phase equilibria in ternary or mul> ticomponent systems. The first method, the clinogonial projection, has one disadvantage it is not based on concrete concepts of the system but assumes, to a certain extent, additivity of the properties of individiial components and attempts to express deviations from additivity of the properties of individual components and attempts to express deviations from additivity by using geometrical constructions. Hence this method, although simple and quick, needs not necessarily yield correct results in all the cases. For this reason, the other method based on the thermodynamic description of phase equilibria, reliably describes the behaviour of the system. Of cource, the theory of concentrated ionic solutions does not permit a priori calculation of the behaviour of the system from the thermodynamic properties of pure components however, if a satisfactory equation is obtained from the theory and is modified to express concrete systems by using few adjustable parameters, the results thus obtained are still substantially more reliable than results correlated merely on the basis of geometric similarity. Both of the methods shown here can be easily adapted for the description of multicomponent systems. 

Figure 10.25 shows the liquidus projection for the Al-Fe-Mn system which is characterised by a substantial extension of the Al Mn phase into the ternary and... 

G Hodes, D Cahen. Ternary adamantine materials for low-cost solar cells (Project No. IL-2-04132-1), Quarterly Status Report to Solar Energy Research Institute, Golden, CO, 1985. 

He contrasts this unsatisfactory state of affairs with what he inelegantly calls a ternary model of managing. By this he means that there is a third consideration, a purpose or project, which moderates managers behaviour and enables them to transcend the petty ego-driven considerations of a binary relationship. Only if, in Mant s view, there is an external referent point can managers hope to act in any way with integrity,... 

A series of empirical schemes targeting the assembly of ternary complexes on beads have been attempted with varying degrees of success (reviewed in Simons et al, 2005). In Fig. 1, the molecular assemblies that are the subject of this chapter are based on the tethering of G protein heterotrimers to beads by an epitope tag (either hexahistidine or FLAGt ) fused to the N-terminus of the y subunit, and projected away from its binding partners in three-dimensional reconstructions. 

The figure below shows such a polythermal projection of a simple ternary eutectic system without solid solution like the one represented by the figure above. 

Polythermal projections of the liquidus discussed in section 4.3.2. do not provide information on the compositions of solid phases if solid solutions or non-stoichiometric compounds are formed at equilibrium. For providing this information, the method of isothermal section is particularly useful. The following figure represents a simple ternary eutectic system with terminal solid solutions formed. 

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