6 Appendix 1: Appendix 1 Crystallographic Calculations A1.1. Vector Algebra A1.2. The Reciprocal Lattice A1.3. Matrices A1.4. Rotation Matrices and Unit Quaternions References
7 Appendix 2: Appendix 2 The Stereographic Projection A2.1 Principles A2.2 Constructions A2.3 Constructions with the Wulff Net A2.4 Proof of the Properties of the Stereographic Projection References
8 Appendix 3: Appendix 3 Interplanar Spacings and Interplanar Angles A3.1. Interplanar Spacings A3.2. Interplanar Angles
9 Appendix 4: Appendix 4 Transformation of Indices Following a Change of Unit Cell A4.1. Change of Indices of Directions A4.2. Change of Indices of Planes A4.3. Example 1: Interchange of Hexagonal and Orthorhombic Indices for Hexagonal Crystals A4.4. Example 2: Interchange of Rhombohedral and Hexagonal Indices
10 Appendix 5: Appendix 5 Slip Systems in C.C.P. and B.C.C. Crystals A5.1. Independent Glide Systems in C.C.P. Metals A5.2. Diehl's Rule and the OILS Rule A5.3. Proof of Diehl's Rule and the OILS Rule References
11 Appendix 6: Appendix 6 Homogeneous Strain A6.1 Simple Extension A6.2 Simple Shear A6.3 Pure Shear A6.4 The Relationship Between Pure Shear and Simple Shear
12 Appendix 7: Appendix 7 Crystal Structure Data A7.1 Crystal Structures of the Elements, Interatomic Distances and Six‐Fold Coordination‐Number Ionic Radii A7.2 Crystals with the Sodium Chloride Structure A7.3 Crystals with the Caesium Chloride Structure A7.4 Crystals with the Sphalerite Structure A7.5 Crystals with the Wurtzite Structure A7.6 Crystals with the Nickel Arsenide Structure A7.7 Crystals with the Fluorite Structure A7.8 Crystals with the Rutile Structure
13 Appendix 8: Appendix 8 Further Resources A8.1 Useful Web Sites A8.2 Educational and Information Resources A8.3 Computer Software Packages
14 Brief Solutions to Selected Problems1 Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14 Chapter 15
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