List of Tables
1 Chapter 1Table 1.1 Solutions of Eq. (1.22)Table 1.2 Permissible combinations of rotation axes in crystalsTable 1.3 The crystal systems
2 Chapter 2Table 2.1 Special forms in the crystal classesTable 2.2 Laue groupsTable 2.3 Screw axes in crystalsTable 2.4 Two‐dimensional lattices, point groups and space groups
3 Chapter 3Table 3.1 Axial ratios at room temperature of some metals with a h.c.p. cryst...Table 3.2 Cell dimensions of As, Sb and Bi.Table 3.3 Axial ratios at room temperature of some materials with the wurtzit...Table 3.4 Axial ratios at room temperature of some materials with the nickel ...Table 3.5 Some examples of superlattice types.Table 3.6 Crystal structures of some common polymers.
4 Chapter 5Table 5.1 Properties represented by second‐rank tensors.Table 5.2 Number of independent components of physical properties represented...
5 Chapter 6Table 6.1 Elastic constants of cubic crystals at room temperatureTable 6.2 Forms of the compliance and stiffness constant arraysTable 6.3 The equations giving the compliancessij in terms of the stiffness c...Table 6.4 Elastic constants of hexagonal crystals at room temperature;x3‐axis...Table 6.5 Forms of the compliance and stiffness constant arrays for the diffe...
6 Chapter 7Table 7.1 Glide elements of crystals (at room temperature and at atmospheric ...Table 7.2 Predominant slip planes for h.c.p. metals at room temperature. In e...Table 7.3 Independent slip systems in crystalsTable 7.4 The six slip systems in crystals with the NaCl structure, labelled ...
7 Chapter 9Table 9.1 Definitely stable dislocations in some Bravais latticesTable 9.2 The stacking fault energies of c.c.p. metalsTable 9.3 Dislocations in c.c.p. metals
8 Chapter 10Table 10.1 Estimated number of jumps made per second by a point defect having...Table 10.2 Relaxation displacements around a vacancy expressed as a percentag...Table 10.3 Fraction of sites vacant at the melting point,n/N, in equilibrium...Table 10.4 Energies of formation and migration of vacancy defects in metals,E
9 Chapter 11Table 11.1 The twinning elements of various crystals
10 Chapter 13Table 13.1 Surface free energies of solidsTable 13.2 Some coincidence lattices for c.c.p. and b.c.c. crystals [20]Table 13.3 Disorientation descriptions for compound twins in h.c.p. metalsTable 13.4 Experimentally determined energies of high‐angle grain boundariesTable 13.5 Twin boundary free energies,γT, relative to surface energies,...
11 Chapter 14Table 14.1 Relative energies of random interphase boundariesTable 14.2 Epitaxial deposition of c.c.p. metals. (After [7].)Table 14.3 Lattice parameters and stiffness constants for some common semicon...
12 Chapter 15Table 15.1 Some common end or final textures
13 5Table A5.1 The twelve slip systems in c.c.p. metal crystals, labelled here fo...Table A5.2 Slip systems and their corresponding Schmid factors in c.c.p. meta...
List of Illustrations
1 Chapter 1Figure 1.1 (a) The arrangement of the atoms in graphene, a single sheet of g...Figure 1.2 Definition of the smallest separations a, b and c of the lattice ...Figure 1.3 The numbers give the elevations of the centres of the atoms, alon...Figure 1.4 A rectangular mesh of a hypothetical two‐dimensional crystal with...Figure 1.5 Demonstration of the law of constancy of angles between faces of ...Figure 1.6 A vector r written as the sum of translations along the x‐, y‐ an...Figure 1.7 Examples of various lattice vectors in a crystalFigure 1.8 The plane (hkl) in a crystal making intercepts of a/h, b/k and c/Figure 1.9 Examples of various lattice planes in a crystal. The indices of t...Figure 1.10 The plane (hkl) in a crystal making intercepts of a/h, b/k and cFigure 1.11 Translation symmetry in a crystalFigure 1.12 Reflection symmetryFigure 1.13 Diagram to help determine which rotation axes are consistent wit...Figure 1.14 The five symmetrical plane lattices or nets. Rotational symmetry...Figure 1.15 Restrictions placed on two‐dimensional lattices through the impo...Figure 1.16 The two possible arrangements of nets consistent with mirror sym...Figure 1.17 Examples of possible allowed combinations of rotational symmetri...Figure 1.18 Stacking of nets to build up a space lattice. The triplet of vec...Figure 1.19 Unit cells of the 14 Bravais space lattices. (a) Primitive tricl...Figure 1.20 Lattice points in the net at height zero are marked as dots, tho...Figure 1.21 A three‐dimensional view of the staggered arrangement of nets in...Figure 1.22 Lattice points in the net at height zero are marked with dots. T...Figure 1.23 The stacking of rhombus nets vertically above one another to for...Figure 1.24 The three possible stacking sequences of rectangular nets. In th...Figure 1.25 The staggered stacking of rhombus nets. This form of stacking ge...Figure 1.26 The stacking of triequiangular nets of points in a staggered seq...Figure 1.27 Lattice points in the net at level zero are marked with a dot, t...Figure 1.28 The relationship between a primitive cell of the trigonal lattic...Figure 1.29 Plan view of the alternative triply primitive hexagonal unit cel...Figure