Ternary Phase Diagrams in Materials Science

The objective of this new edition is to serve a wide range of readers, particularly undergraduates, and post-graduates and those scientists already established in their careers, who wish to acquire or extend their understanding of ternary phase diagrams. The extended coverage includes discussion of a wider range of materials, a new chapter reviewing thermodynamic principles and a problem and answer section.

Foreword

viii

Acknowledgements

x

Preface to the First Edition

xi

Preface to the Second Edition

xii

General Considerations

1

(12)

Introduction

1

(1)

The Phase Rule

1

(1)

The Ternary Space Model

2

(6)

Phases and Their Equilibria

8

(3)

One Phase is Present

9

(1)

Two Phases Co-Exist

9

(1)

Three Phases Co-Exist

10

(1)

Four Phases Co-Exist

11

(1)

Classification and Features of Ternary Metallic and Ceramic Systems

11

(1)

Problem

12

(1)

Some Thermodynamic Considerations for Phase Equilibria and Transformations

13

(18)

Introduction

13

(2)

Binary and Ternary Solutions

15

(5)

Calphad (Calculation of Phase Diagrams)

20

(4)

Topological Features of Phase Diagrams Calculated Using Regular Solution Theory

24

(2)

Features of Phase Diagrams in Binary Polymeric Systems

26

(5)

Systems Containing Two Phases

31

(4)

Problem

34

(1)

Systems Containing Three Phases

35

(28)

Introduction

35

(1)

Systems Containing A Eutectic Reaction L + α → β

35

(8)

The Eutectic Reaction

36

(2)

Projected View of the System

38

(3)

Isothermal Sections

41

(1)

Vertical Section

41

(2)

Systems Containing a Peritectic Reaction L → α + β

43

(6)

The Peritectic Reaction

44

(2)

Projected View of the System

46

(2)

Isothermal Sections

48

(1)

Vertical Section

48

(1)

Transition Between Eutectic and Peritectic Three-Phase Reactions

49

(3)

Systems Containing a Monotectic Reaction L1 → L2 + α

52

(4)

Systems Containing a Solid State Miscibility Gap that Closes within the System

56

(3)

Miscibility Gaps in Ternary Polymeric Systems

59

(1)

Problems

60

(3)

Systems Containing Four Phases

63

(22)

Introduction

63

(1)

Systems Containing a Ternary Eutectic Reaction (Class I)

64

(7)

A System in Which the Three Binary Systems are of the Eutectic Type

64

(2)

Projected View of the System

66

(1)

The Solidification of Alloys

67

(2)

Isothermal Sections

69

(1)

A System in Which One of the Binary Systems is of the Peritectic Type and Two are of the Eutectic Type

69

(2)

Systems Containing a Ternary Peritectic Reaction (Class II and Class III)

71

(10)

A System in Which One Binary System is of the Peritectic Type, and Two are of the Eutectic Type, and Which Shows an Invariant Reaction of the Type L + α → β + γ (Class II)

71

(4)

Projected View of the System

75

(1)

The Solidification of Alloys

76

(1)

Isothermal Sections

77

(1)

A System in Which One Binary System is of the Eutectic Type, and Two are of the Peritectic Type, and Which Shows an Invariant Reaction of the Type L + α → β + γ (Class III)

78

(2)

Projected View of the System

80

(1)

The Solidification of Alloys

81

(1)

Isothermal Section

81

(1)

Problems

81

(4)

Systems Containing More Than Four Phases

85

(16)

Introduction

85

(1)

An Intermediate Phase Stable up to its Melting Point (i.e. Congruently Melting) Exists in One of the Binary Systems

85

(6)

An Intermediate Phase Formed by a Peritectic Reaction Exists in One of the Binary Systems

91

(1)

More than One Binary Intermediate Phase Exists in the System

91

(5)

Ternary Intermediate Phases are Present

96

(1)

Problems

97

(4)

Principles of Using Liquidus Projections for Equilibrium and Non-Equilibrium Solidification in Metallic and Ceramic Systems

101

(12)

Introduction

101

(1)

Primary Phase Fields on a Liquidus Projection

102

(1)

Curves on a Liquidus Projection

102

(1)

Points on Liquidus Projections

103

(2)

Non-Equilibrium Solidification

105

(3)

Quantitative Approach to Non-Equilibrium Solidification

108

(5)

Selected Case Studies of Ternary Systems

113

(74)

Nb-Ta-C

113

(1)

Ga-As-Zn

114

(2)

Au-Pb-Sn

116

(2)

Ni-Al-Cr, Ni-Al-Ti and Ni-Cr-Al-Ti

118

(6)

Fe-Cr-C, Fe-Cr-Ni and Fe-Cr-Ni-C

124

(12)

Fe-Cr-C

124

(1)

Fe-Cr-Ni

125

(9)

Fe-Cr-Ni-C

134

(2)

Fe-O-Si

136

(16)

Fe-O-S

152

(1)

Ag-Pb-Zn

153

(5)

Al-Fe-Si, Al-Fe-Mn, Al-Mn-Si and Al-Fe-Mn-Si

158

(9)

Al-Fe-Si

159

(3)

Al-Fe-Mn

162

(4)

Al-Mn-Si

166

(1)

Al-Fe-Mn-Si

166

(1)

Ti-Al Based Alloys

167

(8)

Al2O3-MgO-SiO2 (Corundum-Periclase-Cristobalite/Tridymite)

175

(4)

BaO-CuO-YO1.5

179

(8)

Answers to Problems

187

(22)

Reviews and Compendiums of Experimental Phase Diagram Determination, Current Activities in Phase Diagram Determination and Information Regarding Software Packages for the Thermodynamic Calculation of Phase Equilibria

209

(6)

Source References

211

(4)

References

215

(4)

Index

219

(4)

Graph Paper for Calculations

223

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Ternary Phase Diagrams in Materials Science

Summary

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Ternary Phase Diagrams in Materials Science

Summary

Table of Contents

Supplemental Materials

Digital License