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Crystallography and Crystal Defects Revised Edition A. Kelly, Churchill College, Cambridge, UK G. W. Groves, Exeter College, Oxford, UK and P. Kidd, Queen Mary and Westfield College, University of London, UK The concepts of crystallography are introduced here in such a way that the physical properties of crystals, including their mechanical behaviour, can be better understood and quantified. A unique approach to the treatment of crystals and their defects is taken in that the often separate disciplines of crystallography, tensor analysis, elasticity and dislocation theory are combined in such a way as to equip materials scientists with knowledge of all the basic principles required to interpret data from their experiments. This is a revised and updated version of the widely acclaimed book by Kelly and Groves that was first published nearly thirty years ago. The material remains timely and relevant and the first edition still holds an unrivalled position at the core of the teaching of crystallography and crystal defects today. Undergraduate readers will acquire a rigorous grounding, from first principles, in the crystal classes and the concept of a lattice and its defects and their descriptions using vectors. Researchers will find here all the theorems of crystal structure upon which to base their work and the equations necessary for calculating interplanar spacings, transformation of indices and manipulations involving the stereographic projection and transformations of tensors and matrices.
目录
Table Of Contents:
Preface xi
Preface to Revised Edition xiii
Acknowledgements for First Edition xv
PART I PERFECT CRYSTALS 1(148)
Lattice Geometry 3(38)
The Unit Cell 3(4)
Lattice Planes and Directions 7(5)
Zones and the Zone Rule 12(1)
Symmetry Elements 13(2)
Restrictions on Symmetry Elements 15(6)
Possible Combinations of Rotational Symmetries 21(3)
Crystal Systems 24(1)
Space Lattices (Bravais Lattices) 25(16)
Problems 36(3)
Suggestions for Further Reading 39(2)
The Stereographic Projection and Point Groups 41(54)
Principles 41(4)
Constructions 45(6)
Constructions with the Wulff Net 51(5)
Macroscopic Symmetry Elements 56(6)
Orthorhombic System 62(4)
Tetragonal System 66(1)
Cubic System 67(2)
Hexagonal System 69(4)
Trigonal System (Rhombohedral System) 73(3)
Monoclinic System 76(2)
Triclinic System 78(2)
Enantiomorphous Crystal Classes 80(1)
Laue Groups 80(1)
Space Groups 80(15)
Problems 90(4)
Suggestions for Further Reading 94(1)
References 94(1)
Crystal Structures 95(34)
Introduction 95(1)
Common Metallic Structures 96(7)
Related Metallic Structures 103(1)
Other Elements 104(3)
Compounds 107(2)
Close Packing 109(7)
Interatomic Distances 116(1)
Solid Solutions 117(4)
Polymers 121(3)
Quasicrystals 124(5)
Problems 125(1)
Suggestions for Further Reading 126(1)
References 127(2)
Tensors 129(20)
Nature of a Tensor 129(1)
Transformation of Components of a Vector 130(3)
Dummy Suffix Notation 133(1)
Transformation of Components of a Second-Rank Tensor 134(2)
Definition of a Tensor 136(2)
Tensor Referred to Principal Axes 138(3)
Limitations Imposed by Crystal Symmetry 141(2)
Representation Quadric 143(6)
Problems 146(2)
Suggestions for Further Reading 148(1)
PART II IMPERFECT CRYSTALS 149(258)
Strain, Stress and Elasticity 151(30)
Strain: Introduction 151(1)
Infinitesimal Strain 152(4)
Homogeneous Strain 156(3)
Stress 159(5)
Elasticity of Crystals 164(17)
Problems 176(3)
Suggestions for Further Reading 179(1)
References 179(2)
Glide 181(38)
Translation Glide 181(4)
Glide Elements 185(5)
Independent Slip Systems 190(7)
Large Strains 197(11)
Texture 208(11)
Problems 214(2)
Suggestions for Further Reading 216(1)
References 217(2)
Dislocations 219(28)
Introduction 219(6)
Dislocation Motion 225(2)
The Force on a Dislocation 227(5)
The Distortion in a Dislocated Crystal 232(4)
Atom Positions Close to a Dislocation 236(4)
The Interaction of Dislocations with One Another 240(7)
Problems 244(2)
Suggestions for Further Reading 246(1)
References 246(1)
Dislocations in Crystals 247(38)
The Strain Energy of a Dislocation 247(8)
Stacking Faults and Partial Dislocations 255(2)
Dislocations in F.C.C. Metals 257(8)
Dislocations in the Rock-Salt Structure 265(3)
Dislocations in Hexagonal Metals 268(4)
Dislocations in B.C.C. Crystals 272(4)
Dislocations in Some Covalent Solids 276(9)
Problems 280(2)
Suggestions for Further Reading 282(1)
References 282(3)
Point Defects 285(30)
Introduction 285(4)
Point Defects in Ionic Crystals 289(1)
Point Defect Aggregates 290(1)
Point Defect Configurations 291(6)
Experiments on Point Defects in Equilibrium 297(5)
Experiments on Quenched Metals 302(2)
Radiation Damage 304(2)
Anelasticity and Point Defect Symmetry 306(9)
Problems 310(2)
Suggestions for Further Reading 312(1)
References 313(2)
Twinning 315(24)
Introduction 315(2)
Description of Deformation Twinning 317(4)
Examples of Twin Structures 321(8)
Twinning Elements 329(3)
The Morphology of Deformation Twinning 332(7)
Problems 336(1)
Suggestions for Further Reading 337(1)
References 338(1)
Martensitic Transformations 339(26)
Introduction 339(1)
General Crystallographic Features 340(3)
Transformation in Cobalt 343(2)
Transformation in Zirconium 345(6)
Transformation of Indium--Thallium Alloys 351(3)
Transformations in Steels 354(4)
Transformations in Copper Alloys 358(1)
Transformations in Non-Metals 359(1)
Crystallographic Aspects of Nucleation and Growth 359(6)
Problems 362(1)
Suggestions for Further Reading 363(1)
References 364(1)
Crystal Interfaces 365(42)
The Structure of Surfaces and Surface Free Energy 365(5)
Structure and Energy of Grain Boundaries 370(12)
Interface Junctions 382(6)
The Shapes of Crystals and Grains 388(5)
Boundaries Between Different Phases 393(5)
Strained Layer Epitaxy of Semiconductors 398(9)
Problems 402(3)
Suggestions for Further Reading 405(1)
References 405(2)
Appendix 1 Crystallographic Calculations 407(16)
A1.1 Coordinate Geometry 407(1)
A1.2 Solutions of Spherical Triangles 408(3)
A1.3 The Sine Ratio 411(2)
A1.4 Matrices 413(5)
A1.5 Proof of Properties of the Stereographic Projection 418(5)
Appendix 2 Vector Algebra and the Reciprocal Lattice 423(8)
A2.1 Vector Algebra 423(4)
A2.2 The Reciprocal Lattice 427(4)
Appendix 3 Planar Spacings and Interplanar Angles 431(8)
A3.1 Planar Spacings 431(5)
A3.2 Interplanar Angles 436(3)
References 436(3)
Appendix 4 Transformation of Indices Following a Change of Unit Cell 439(8)
A4.1 Change of Indices of Planes 439(3)
A4.2 Change of Indices of Directions 442(1)
A4.3 Interchange of Rhombohedral and Hexagonal Indices 442(3)
A4.4 Proof of Transformation Equations 445(2)
Appendix 5 Crystal Structure Data 447(10)
A5.1 Crystal Structures of the Elements, Interatomic Distances and lonic Radii at Room Temperature 447(3)
A5.2 Crystals with the Sodium Chloride Structure 450(2)
A5.3 Crystals with the Caesium Chloride Structure 452(1)
A5.4 Crystals with the Sphalerite Structure 452(1)
A5.5 Crystals with the Wurtzite Structure 453(1)
A5.6 Crystals with the Nickel Arsenide Structure 453(1)
A5.7 Crystals with the Fluorite Structure 454(1)
A5.8 Crystals with the Rutile Structure 454(1)
A5.9 Crystal Structures of Polymers 455(2)
Answers to Problems 457(6)
Subject Index 463
Preface xi
Preface to Revised Edition xiii
Acknowledgements for First Edition xv
PART I PERFECT CRYSTALS 1(148)
Lattice Geometry 3(38)
The Unit Cell 3(4)
Lattice Planes and Directions 7(5)
Zones and the Zone Rule 12(1)
Symmetry Elements 13(2)
Restrictions on Symmetry Elements 15(6)
Possible Combinations of Rotational Symmetries 21(3)
Crystal Systems 24(1)
Space Lattices (Bravais Lattices) 25(16)
Problems 36(3)
Suggestions for Further Reading 39(2)
The Stereographic Projection and Point Groups 41(54)
Principles 41(4)
Constructions 45(6)
Constructions with the Wulff Net 51(5)
Macroscopic Symmetry Elements 56(6)
Orthorhombic System 62(4)
Tetragonal System 66(1)
Cubic System 67(2)
Hexagonal System 69(4)
Trigonal System (Rhombohedral System) 73(3)
Monoclinic System 76(2)
Triclinic System 78(2)
Enantiomorphous Crystal Classes 80(1)
Laue Groups 80(1)
Space Groups 80(15)
Problems 90(4)
Suggestions for Further Reading 94(1)
References 94(1)
Crystal Structures 95(34)
Introduction 95(1)
Common Metallic Structures 96(7)
Related Metallic Structures 103(1)
Other Elements 104(3)
Compounds 107(2)
Close Packing 109(7)
Interatomic Distances 116(1)
Solid Solutions 117(4)
Polymers 121(3)
Quasicrystals 124(5)
Problems 125(1)
Suggestions for Further Reading 126(1)
References 127(2)
Tensors 129(20)
Nature of a Tensor 129(1)
Transformation of Components of a Vector 130(3)
Dummy Suffix Notation 133(1)
Transformation of Components of a Second-Rank Tensor 134(2)
Definition of a Tensor 136(2)
Tensor Referred to Principal Axes 138(3)
Limitations Imposed by Crystal Symmetry 141(2)
Representation Quadric 143(6)
Problems 146(2)
Suggestions for Further Reading 148(1)
PART II IMPERFECT CRYSTALS 149(258)
Strain, Stress and Elasticity 151(30)
Strain: Introduction 151(1)
Infinitesimal Strain 152(4)
Homogeneous Strain 156(3)
Stress 159(5)
Elasticity of Crystals 164(17)
Problems 176(3)
Suggestions for Further Reading 179(1)
References 179(2)
Glide 181(38)
Translation Glide 181(4)
Glide Elements 185(5)
Independent Slip Systems 190(7)
Large Strains 197(11)
Texture 208(11)
Problems 214(2)
Suggestions for Further Reading 216(1)
References 217(2)
Dislocations 219(28)
Introduction 219(6)
Dislocation Motion 225(2)
The Force on a Dislocation 227(5)
The Distortion in a Dislocated Crystal 232(4)
Atom Positions Close to a Dislocation 236(4)
The Interaction of Dislocations with One Another 240(7)
Problems 244(2)
Suggestions for Further Reading 246(1)
References 246(1)
Dislocations in Crystals 247(38)
The Strain Energy of a Dislocation 247(8)
Stacking Faults and Partial Dislocations 255(2)
Dislocations in F.C.C. Metals 257(8)
Dislocations in the Rock-Salt Structure 265(3)
Dislocations in Hexagonal Metals 268(4)
Dislocations in B.C.C. Crystals 272(4)
Dislocations in Some Covalent Solids 276(9)
Problems 280(2)
Suggestions for Further Reading 282(1)
References 282(3)
Point Defects 285(30)
Introduction 285(4)
Point Defects in Ionic Crystals 289(1)
Point Defect Aggregates 290(1)
Point Defect Configurations 291(6)
Experiments on Point Defects in Equilibrium 297(5)
Experiments on Quenched Metals 302(2)
Radiation Damage 304(2)
Anelasticity and Point Defect Symmetry 306(9)
Problems 310(2)
Suggestions for Further Reading 312(1)
References 313(2)
Twinning 315(24)
Introduction 315(2)
Description of Deformation Twinning 317(4)
Examples of Twin Structures 321(8)
Twinning Elements 329(3)
The Morphology of Deformation Twinning 332(7)
Problems 336(1)
Suggestions for Further Reading 337(1)
References 338(1)
Martensitic Transformations 339(26)
Introduction 339(1)
General Crystallographic Features 340(3)
Transformation in Cobalt 343(2)
Transformation in Zirconium 345(6)
Transformation of Indium--Thallium Alloys 351(3)
Transformations in Steels 354(4)
Transformations in Copper Alloys 358(1)
Transformations in Non-Metals 359(1)
Crystallographic Aspects of Nucleation and Growth 359(6)
Problems 362(1)
Suggestions for Further Reading 363(1)
References 364(1)
Crystal Interfaces 365(42)
The Structure of Surfaces and Surface Free Energy 365(5)
Structure and Energy of Grain Boundaries 370(12)
Interface Junctions 382(6)
The Shapes of Crystals and Grains 388(5)
Boundaries Between Different Phases 393(5)
Strained Layer Epitaxy of Semiconductors 398(9)
Problems 402(3)
Suggestions for Further Reading 405(1)
References 405(2)
Appendix 1 Crystallographic Calculations 407(16)
A1.1 Coordinate Geometry 407(1)
A1.2 Solutions of Spherical Triangles 408(3)
A1.3 The Sine Ratio 411(2)
A1.4 Matrices 413(5)
A1.5 Proof of Properties of the Stereographic Projection 418(5)
Appendix 2 Vector Algebra and the Reciprocal Lattice 423(8)
A2.1 Vector Algebra 423(4)
A2.2 The Reciprocal Lattice 427(4)
Appendix 3 Planar Spacings and Interplanar Angles 431(8)
A3.1 Planar Spacings 431(5)
A3.2 Interplanar Angles 436(3)
References 436(3)
Appendix 4 Transformation of Indices Following a Change of Unit Cell 439(8)
A4.1 Change of Indices of Planes 439(3)
A4.2 Change of Indices of Directions 442(1)
A4.3 Interchange of Rhombohedral and Hexagonal Indices 442(3)
A4.4 Proof of Transformation Equations 445(2)
Appendix 5 Crystal Structure Data 447(10)
A5.1 Crystal Structures of the Elements, Interatomic Distances and lonic Radii at Room Temperature 447(3)
A5.2 Crystals with the Sodium Chloride Structure 450(2)
A5.3 Crystals with the Caesium Chloride Structure 452(1)
A5.4 Crystals with the Sphalerite Structure 452(1)
A5.5 Crystals with the Wurtzite Structure 453(1)
A5.6 Crystals with the Nickel Arsenide Structure 453(1)
A5.7 Crystals with the Fluorite Structure 454(1)
A5.8 Crystals with the Rutile Structure 454(1)
A5.9 Crystal Structures of Polymers 455(2)
Answers to Problems 457(6)
Subject Index 463
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