A parallel to a side of the triangle is the locus of points constant in the component situated in the vertex opposed to the side. The first method is to use a diagram grid consisting of lines parallel to the triangle edges. There are three equivalent methods that can be used to determine the values of a point on the plot:
In game theory, it is often called a simplex plot. In population genetics, a triangle plot of genotype frequencies is called a de Finetti diagram.
It is used in physical chemistry, petrology, mineralogy, metallurgy, and other physical sciences to show the compositions of systems composed of three species. It graphically depicts the ratios of the three variables as positions in an equilateral triangle. These diagrams can also be drawn using mole fractions instead of mass fractions.Two ternary diagrams with matching axes can be joined at that axis to make a piper diagramĪ ternary plot, ternary graph, triangle plot, simplex plot, Gibbs triangle or de Finetti diagram is a barycentric plot on three variables which sum to a constant. Select "grid lines" to display a grid on the phase diagram. Select solute (blue), solvent (purple) or carrier (orange) to view their mass fractions next to their corresponding axis. The region inside the phase envelope consists of two phases in equilibrium: the raffinate (green) and extract (magenta). Selecting "phase envelope" represents the type of diagram important for liquid-liquid extraction. Uncheck "phase envelope" to view diagrams for a completely miscible system. Select either a right or an equilateral triangular diagram with buttons. The mass fractions of each phase present are displayed in a table. Click and drag the black dot within the triangle, this represents the composition of the mixture, and each corner of the triangle is a pure component. These diagrams are labeled with solute, solvent and carrier as the three components used in liquid-liquid extraction. Ternary phase diagrams are used to represent the phase behavior of three-component mixtures. This Demonstration shows two ways to represent a ternary phase diagram.