Table of Contents
1 Cover
2 Preface to the Third Edition
4 Part I: Perfect Crystals 1 Lattice Geometry 1.1 The Unit Cell 1.2 Lattice Planes and Directions 1.3 The Weiss Zone Law 1.4 Symmetry Operators6 1.5 Restrictions on Symmetry Operations 1.6 Possible Combinations of Rotational Symmetries 1.7 Crystal Systems 1.8 Space Lattices (Bravais12 Lattices) Suggestions for Further Reading References 2 Point Groups and Space Groups 2.1 Macroscopic Symmetry Elements 2.2 Orthorhombic System 2.3 Tetragonal System 2.4 Cubic System 2.5 Hexagonal System 2.6 Trigonal System 2.7 Monoclinic System 2.8 Triclinic System 2.9 Special Forms in the Crystal Classes 2.10 Enantiomorphous Crystal Classes 2.11 Laue Groups 2.12 Space Groups 2.13 The 17 Two‐Dimensional Space Groups 2.14 Nomenclature for Point Groups and Space Groups 2.15 Groups, Subgroups, and Supergroups 2.16 An Example of a Three‐Dimensional Space Group 2.17 Frequency of Space Groups in Inorganic Crystals and Minerals 2.18 Magnetic Groups Suggestions for Further Reading References 3 Crystal Structures 3.1 Introduction 3.2 Common Metallic Structures 3.3 Related Metallic Structures 3.4 Other Elements and Related Compounds 3.5 Simple MX and MX2 Compounds 3.6 Other Inorganic Compounds 3.7 Interatomic Distances 3.8 Solid Solutions 3.9 Polymers 3.10 Additional Crystal Structures and their Designation Suggestions for Further Reading References 4 Amorphous Materials and Special Types of Crystal–Solid Aggregates 4.1 Introduction 4.2 Amorphous Materials 4.3 Liquid Crystals 4.4 Geometry of Polyhedra 4.5 Icosahedral Packing 4.6 Quasicrystals 4.7 Incommensurate Structures 4.8 Foams, Porous Materials, and Cellular Materials Suggestions for Further Reading References 5 Tensors 5.1 Nature of a Tensor 5.2 Transformation of Components of a Vector 5.3 Dummy Suffix Notation 5.4 Transformation of Components of a Second‐Rank Tensor 5.5 Definition of a Tensor of the Second Rank 5.6 Tensor of the Second Rank Referred to Principal Axes 5.7 Limitations Imposed by Crystal Symmetry for Second‐Rank Tensors 5.8 Representation Quadric 5.9 Radius–Normal Property of the Representation Quadric 5.10 Third‐ and Fourth‐Rank Tensors Suggestions for Further Reading References 6 Strain, Stress, Piezoelectricity and Elasticity 6.1 Strain: Introduction