Multicomponent Heterogeneous Systems
2006
Systems ........................................................................................................ 250 9.2 Conditions for Equilibrium ......................................................................... 253 9.3 The Gibbs Phase Rule ................................................................................. 255 9.4 The Structure of Phase Diagrams................................................................ 258 9.4.1 Phase Diagrams Plotted in Thermodynamic Potential Space ....... 260 9.4.2 Unary Systems ................................................................................ 261 9.4.3 Binary Phase Diagrams .................................................................. 265 9.4.4 Ternary Phase Diagrams ................................................................ 267 9.5 The Interpretation of Phase Diagrams ........................................................ 270 9.5.1 The Lever Rule for Tie Lines ........................................................ 270 9.5.2 The Lever Rule for Tie Triangles .................................................. 273 9.6 Applications of Phase Diagrams in Materials Science............................... 274 9.7 Summary...................................................................................................... 279 References............................................................................................................. 283 Chapters 9 and 10 illustrate how the structure of thermodynamics given in Figure 1.4 provides the basis for generating the first of the equilibrium maps displayed in that figure: phase diagrams. The general criterion for equilibrium is applied through the strategy for finding conditions for equilibrium to yield the working equations that form the basis for computing and plotting these equilibrium maps for multi- component multiphase systems.