本书是英文版。本书分两部分。第一部分着重介绍了作者提出的相图中若干新概念，并应用热力学原理导出了相图中对应关系定理及其推论，进一步找到了边界维数和相边界维数之间的关系，从而找到了确定相图中相邻相区及其边界的关系的若干物理量及其变化，从而可以阐述各类恒压相图中相邻相区及其边界的关系。第二部分是高压相图的边界理论及其计算。我们把恒压边界理论推广到高压相图，从而导出高压相图的边界理论及其热力学计算方法，计算了单元、二元、三元高压相图，并通过实验检验了计算的高压相图，实验相图与计算相图符合得很好。

The Boundary Theory of Phase Diagrams and Its Application Rules forPhase Diagram Construction with Phase Regions and Their Boundariespresents a novel theory of phase diagrams. Thoroughly revised on the basisof the Chinese edition and rigorously reviewed, this book inspects thegeneral feature and structure of phase diagrams, and reveals that there existactually two categories of boundaries. This innovative boundary theoryhas solved many difficulties in understanding phase diagrams, and alsofinds its application in constructing multi-component phase diagrams orin calculating high-pressure phase diagrams. Researchers and engineers aswell as graduate students in the areas of chemistry, metallurgy and materialsscience will benefit from this book.Prof. Muyu Zhao was the recipient of the 1998 Prize for Progress in Scienceand Technology (for his work on the boundary theory of phase diagrams)awarded by the National Commission of Education, China, and many otherprizes.

Preface

Comment

Introduction

Part One The Phase Rule, Its Deductionand Application

Chapter 1 The Phase Rule, Its Deduction and Application

1.1 Why do We Discuss the Phase Rule at First

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 Minimization

1.3 Determination of the Number of Independent Components by Brinkley＇s Method

1.4 Some Remarks on the Application of the Phase Rule

References-1

Summary of Part One

Part Two The Boundary Theory of Isobaric PhaseDiagrams and Its Application

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

2.1 Introduction

2.2 Several Basic Concepts for Underlying the Phase Diagram

2.3 The Theorem of the Corresponding Relationship between the Total Number of All the Different Phases in NPRs φand the Dimensions of the Phase Boundary R1 in Phase Diagrams, and Its Theoretical Deduction

2.4 The Theorem of the Corresponding Relationship （TCR） is an Independent Theorem, Not a Variant of the Phase Rule

2.5 Corollaries of TCR for Isobaric Phase Diagrams

2.6 The Relationship between the Dimensions of the Phase Boundary R1and the Dimensions of the Boundary R1' for Isobaric Multicomponent Phase Diagrams

2.7 The Summary of the Boundary Theory of Isobaric Phase Diagrams

References-2

Chapter 3 Application of the Boundary Theory to Unary, Binary and Ternary Phase DiagramsComparison of the Boundary Theory Application and Palatnik-Landau's Contact Rule of Phase Regions

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

3.2 Application of the Boundary Theory to Unary Phase Diagrams

3.3 Application of the Boundary Theory to Binary Phase Diagrams

3.4 Application of the Boundary Theory to Ternary Phase Diagrams

3.5 Explanation of Rhines' Ten Empirical Rules for Constructing

Complicated Ternary Phase Diagrams with the Bounary Theory

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

Phase Regions

References-3

Chapter 4

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

4.1 Introduction

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

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 Diagrams

4.4 The Isobaric Quinary Phase Diagrams

4.5 Conclusion

References-4

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

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

5.2 The Non-Contact Phase Regions and the Boundaries between Them Contents

5.3 Construction of an Isothermal Quinary Section, with Limited Information

5.4 The Method of Constructing an Isothermal Eight-Component section

5 5 Summary of Part TwoPart Three The Boundary Theory method

References-5

Chapter 6 The Boundary Theory of Multicomponent Isobaric Isopleth Sections

6.1 Introduction

6.2 The Characteristics of Boundaries in Isopleth Sections for the Case ofⅣ≥2 and R1≥1

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 NPRs

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

6.5 Example

6.6 The TheOrY of Two～Dimensional Sections of Isobaric Multicomponent Phase Diagrams．

References-6

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

7.1 Brief Review of the Application for the Boundary Theory

7.2 The Analysis of the Fe-Cr-C Isopleth Section。

7.3 The Application of the Boundary Theory to Phase Diagram Calculation

7.4 The Application of the Boundary Theory to Phase Diagram Assessment．

7.5 The Application of the Boundary Theory to Phase Diagram DeterlllinatiOn

7.6 The Application of the Boundary Theory to Phase Diagram Education．

References-7

Summay of part two

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

Chapter.8 The Boundary Theory for p-T-xi Multieomponent Phase Diagrams

8.1 Introduction

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

8.3 The Relationship between R'1 and R1 in p-T-xi Multicomponent Phase Diagrams

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

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

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

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

References-8

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

9.1 Introduction

9.2 Calculation of Unary p-T Diagrams

9.3 The Boundary Theory of p-T Phase Diagrams of Multicomponent Systems without Composition Variable

References-9

Chapter 10 Calculation of Binary High-Pressure Phase Diagrams

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

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

10.3 Calculation of Activity Coefficientsγ i（T, po, xi） Of the/-tit Component in the Equilibrium Phases

10.4 Partial Molar Volumes

10.5 Some Remarks on the Values of a andβ

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

References-10

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

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

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

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

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

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

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

References-11

Summary of Part Three

References of This Book

Important Symbols

Index

Annex