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Part One The Phase Rule,Its Deduction and Application3

Chapter 1 The Phase Rule,Its Deduction and Application3

1.1 Why do We Discuss the Phase Rule at First3

1.2 Different Methods for Deducing the Phase Rule:The Method of Gibbs Himself,Gibbs-Roozeboom's Method and the Method of Gibbs Free Energy Minimization4

1.3 Determination of the Number of Independent Components by Brink-ley's Method14

1.4 Some Remarks on the Application of the Phase Rule25

References-128

Summary of Part One28

Part Two The Boundary Theory of Isobaric Phase Diagrams and Its Application31

Chapter 2 The Boundary Theory of Isobaric Phase Diagrams—Rules for Phase Diagram Construction31

2.1 Introduction31

2.2 Several Basic Concepts for Underlying the Phase Diagram32

2.3 The Theorem of the Corresponding Relationship between the Total Nu-mber of All the Different Phases in NPRs Ф and the Dimensions of the Phase Boundary R1 in Phase Diagrams,and Its Theoretical Deduction38

2.4 The Theorem of the Corresponding Relationship(TCR)is an Indepen-dent Theorem,Not a Variant of the Phase Rule41

2.5 Corollaries of TCR for Isobaric Phase Diagrams44

2.6 The Relationship between the Dimensions of the Phase Boundary R1 and the Dimensions of the Boundary Rí for Isobaric Multiconponent Phase Diagrams48

2.7 The Summary of the Boundary Theory of Isobaric Phase Diagrams4858

References-259

Chapter 3 Application of the Boundary Theory to Unary,Binary and Ternary Phase Diagrams61

Comparison of the Boundary Theory Application and Palatnik-Landau's Contact Rule of Phase Regions61

3.1 Determination of Phase Assemblages of NPRs and the Characteristics of Their Boundaries by the Boundary Theory61

3.2 Application of the Boundary Theory to Unary Phase Diagrams63

3.3 Application of the Boundary Theory to Binary Phase Diagrams64

3.4 Application of the Boundary Theory to Ternary Phase Diagrams68

3.5 Explanation of Rhines'Ten Empirical Rules for Constructing Complicated Ternary Phase Diagrams with the Bounary Theory82

3.6 Comparison of the Boundary Theory and the P-L's Contact Rule of Phase Regions85

References-391

Chapter 4 The Application of the Boundary Theory of Phase Diag-rams to the Quaternary and Higher Number Component Phase Diagrams92

4.1 Introduction92

4.2 The Relationship among NPRs and their Boundaries in a Typical,Iso-baric,Quaternary Phase Diagram92

4.3 During Temperature Decreasing,Some Cases of Variations of the NPRs and their Boundaries,May be Encountered for Several Types of Quaternary Isobaric Phase Diagrams94

4.4 The Isobaric Quinary Phase Diagrams106

4.5 Conclusion106

References-4106

Chapter 5 The Boundary Theory in Construction of Multicompo-nent Isothermal Sections107

5.1 The Relationship among Neighboring Phase Regions(NPRs)and Th-eir Boundaries in Isobaric Isothermal Multicomponent Sections107

5.2 The Non-Contact Phase Regions and the Boundaries between Them110

5.3 Construction of an Isothermal Quinary Section,with Limited Information112

5.4 The Method of Constructing an Isothermal Eight-Component Section116

5.5 Summary of Using the Boundary Theory Method121

References-5121

Chapter 6 The Boundary Theory of Multicomponent Isobaric Isopleth Sections122

6.1 Introduction122

6.2 The Characteristics of Boundaries in Isopleth Sections for the Case of N≥2 and R1≥1123

6.3 The Characteristics of Boundaries in the Isopleth Section for the Case of N≥2,R1=0,there is no Invariant Phase Transition between the two NPRs126

6.4 The Case of N≥2,R1=0,there is an Invariant Phase Transition between the two NPRs.In this Case,there may be a Boundary Line or a Boundary Point between two NPRs127

6.5 Example129

6.6 The Theory of Two-Dimensional Sections of Isobaric Multicomponent Phase Diagrams132

References-6134

Chapter 7 The Application of the Boundary Theory to Isobaric Phase Diagrams135

7.1 Brief Review of the Application for the Boundary Theory135

7.2 The Analysis of the Fe-Cr-C Isopleth Section135

7.3 The Application of the Boundary Theory to Phase Diagram Calculation138

7.4 The Application of the Boundary Theory to Phase Diagram Assessment145

7.5 The Application of the Boundary Theory to Phase Diagram Determination149

7.6 The Application of the Boundary Theory to Phase Diagram Education152

References-7152

Summary of Part Two153

Part Three The Boundary Theory and Calculation of High Pressure Phase Diagrams157

Chapter 8 The Boundary Theory for p--T-xi Multicomponent Phase Diagrams157

8.1 Introduction157

8.2 The Theorem of Corresponding Relationship for p-T-xi Multicomponent Phase Diagrams and Its Corollaries158

8.3 The Relationship between Rí and R1 in p-T-xi Multicomponent Phase Diagrams160

8.4 The Relationship among NPRs and Their Boundaries for the p-T-x Binary Phase Diagrams167

8.5 Relationship among NPRs and their Boundaries for the p-T-xi Ternary Phase Diagram168

8.6 The Application of Boundary Theory for Quaternary p-T-xi Phase Diagrams170

8.7 The Reliability of the Boundary Theory of Multicomponent p-T-xi Phase Diagrams171

References-8171

Chapter 9 The Calculation of Unary High-Pressure Phase Diagra-ms and the Boundary Theory of p-T Phase Diagrams of Multicomponent Systems173

9.1 Introduction173

9.2 Calculation of Uuary p-T Diagrams174

9.3 The Boundary Theory of p-T Phase Diagrams of Multiconponent Systems without Composition Variable176

Referenees-9177

Chapter 10 Calculation of Binary High-Pressure Phase Diagrams178

10.1 Principles for the Calculation of Binary Phase Diagrams at Elevated Pressures178

10.2 Calculation of the Standard Molar Gibbs Free Energy for the Pure Components180

10.3 Calculation of Activity Coefficients γi(T,p0,xi)of the i-th Component in the Equilibrium Phases181

10.4 Partial Molar Volumes183

10.5 Some Remarks on the Values of α andβ186

10.6 Example-Calculation of the Cd-Pb Phase Diagram at High Pressure187

References-10194

Chapter 11 The Calculation of High-Pressure Ternary Phase Dia-grams196

11.1 The Characteristics of the Boundaries of the High-Pressure Ternary Phase Diagrams,and the Basic Equations for Their Calculation196

11.2 The Treatment of Thermodynamic Parameters for Ternary Systems at High Pressure201

11.3 Verification of the Estimation Method for the Excess Molar Volume by Experiment204

11.4 The Calculation of High-Pressure Phase Diagrams of Cd-Pb-Sn and Cd-Sn-Zn Systems206

11.5 Verification of Calculated High-Pressure Ternary Phase Diagrams through Experimental Determination219

11.6 The Comparison between the Methods of Experimental Determina-tion and Thermodynamic Calculation of High Pressure Phase Diagrams221

References-11223

Summary of Part Three224

References of This Book226

Important Symbols230

Index232

Annex234