Liquidus Projection of Al-Mg-Zn

Purpose: Learn to calculate and use a liquidus projection in a ternary system

Module: PanPhaseDiagram

Thermodynamic Database: AlMgZn.tdb

Batch file: Example_#1.7.pbfx

As mentioned in Isotherm of Al-Mg-Zn at 500°C and Isopleth of Al-Mg-Zn at 15 at% Zn, isotherms and isopleths are two types of phase diagrams used to view the phase relationship in a ternary system. Another type of phase diagrams commonly used to understand a ternary system is the liquidus projection which is the projection of the liquid surface onto the base triangle plane. In this example, we will calculate the liquidus projection of Al-Mg-Zn ternary system.

Calculation Procedures:

Figure 1:  Phase projection calculation setting dialog

Post Calculation Operation:

Figure 2:  Calculated liquidus projection of the Al-Mg-Zn system

Information obtained from this calculation:

  • The phase name labeled in each region indicates the primary solidified phase from liquid when the given alloy composition falls in that region;

  • The univariant liquid projection lines (blue lines) trace the composition of the liquid phase for the three-phase equilibrium among the liquid and the other two phases separated by the liquid projection line;

  • The isothermal lines (from red to green with temperature descending) represent the liquidus temperatures. The liquidus temperature for all the compositions along each line is identical;

  • Each triple point at the intersection of three projection lines represents a invariant reaction (four phases in a ternary system) involving the liquid phase. All the invariant reactions are listed in invariant table as shown in Figure 3. The composition of each phase involved in the invariant reaction is listed in invariant_tieline table as shown in in Figure 4.

Figure 3:  Invariant table showing all the invariant reactions involving liquid phase

Figure 4:  Invariant_tieline table showing composition of each phase involved in the invariant reaction