| Introduction |
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v | |
| Preface |
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vii | |
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1 | (16) |
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1 | (1) |
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1 | (8) |
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Thermodynamics of Condensed Systems |
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9 | (2) |
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11 | (2) |
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13 | (4) |
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15 | (1) |
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16 | (1) |
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17 | (38) |
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17 | (1) |
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18 | (1) |
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Proper and Improper Rotation Symmetry |
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19 | (1) |
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19 | (12) |
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20 | (1) |
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The Centered Monoclinic Lattice |
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21 | (1) |
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22 | (1) |
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The Orthorhombic Lattices |
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23 | (1) |
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23 | (3) |
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26 | (1) |
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27 | (1) |
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28 | (1) |
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29 | (2) |
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31 | (1) |
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Symmetry Elements of Plane Lattices |
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31 | (3) |
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Allowed Rotational Symmetries of Plane Lattices |
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34 | (3) |
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Plane Lattices with mm Symmetry |
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37 | (1) |
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Plane Lattices with 4-Fold Symmetry |
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38 | (1) |
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Plane Lattices with Hexagonal Symmetry |
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38 | (1) |
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Stacking of Plane Lattices |
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39 | (1) |
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39 | (1) |
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Example of a Cell Reduction |
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40 | (5) |
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45 | (1) |
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Transformations of Positions within Cells |
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46 | (1) |
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47 | (2) |
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Miller Indices and the Reciprocal Lattice |
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49 | (1) |
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The Lattice Reciprocal to the fcc Lattice |
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50 | (2) |
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The Scalar Products of Real and Reciprocal Lattices Vectors |
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52 | (3) |
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53 | (1) |
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54 | (1) |
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55 | (23) |
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Space Group Symmetry Operations |
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55 | (1) |
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Allowed Rotational Symmetries |
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56 | (1) |
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56 | (1) |
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57 | (1) |
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Rotation-Translation Operations |
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58 | (2) |
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60 | (1) |
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Essential Symmetry Operations |
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61 | (1) |
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Symmorphic and Nonsymmorphic Space Groups |
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62 | (1) |
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63 | (1) |
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An Orthorhombic Example: Pmna |
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64 | (1) |
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Group-Subgroup Relations Among the Crystal Classes |
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65 | (3) |
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The Equivalent Positions in I41/amd |
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68 | (2) |
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Group-Subgroup Relations Among Space Groups |
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70 | (1) |
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Some Subgroups of I41/amd |
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70 | (2) |
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72 | (1) |
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Symmetry Operations in Subgroups |
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72 | (2) |
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The Subgroups of P63/mmc in the Crystal Class D2h Arising from Doubling of a |
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74 | (4) |
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75 | (2) |
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77 | (1) |
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78 | (8) |
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Rotational Symmetry of Reciprocal Space |
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78 | (1) |
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78 | (1) |
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79 | (1) |
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80 | (1) |
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The Symmetry of the Reciprocal Space |
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81 | (1) |
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The Group of the Wave Vector |
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81 | (1) |
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The Group of the Wave Vector at k = a*/2 in P63/mmc |
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82 | (1) |
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83 | (1) |
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83 | (3) |
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84 | (1) |
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85 | (1) |
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Irreducible Representations of Space Groups |
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86 | (12) |
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Representations of the Translational Group |
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86 | (2) |
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Irreducible Representations of Symmorphic Space Groups |
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88 | (1) |
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88 | (4) |
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Some Irreducible Representations of P63/mmc at k = a*/2 |
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92 | (3) |
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Relationships Between Irreducible Representations and Subgroups: P63/mmc at a*/2 |
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95 | (3) |
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96 | (1) |
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97 | (1) |
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98 | (25) |
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98 | (1) |
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The Variation of η with Thermodynamic State |
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98 | (2) |
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Single Irreducible Representation Condition |
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100 | (1) |
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100 | (1) |
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Symmetry Transformation of the γi's |
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101 | (1) |
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Lack of First-Order Invariants |
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102 | (1) |
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102 | (1) |
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103 | (2) |
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105 | (1) |
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106 | (1) |
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Invariants of Third and Fourth Order |
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107 | (1) |
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The Totally Symmetric Small Representation of F m3m at the L Point |
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108 | (2) |
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110 | (3) |
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The Symmetries of the Allowed Solutions Corresponding to the Totally Symmetric Small Representation of F m3m at the L Point |
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113 | (2) |
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115 | (2) |
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Transitions at the Γ Point of m3m |
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117 | (6) |
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120 | (2) |
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122 | (1) |
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Thermodynamics of Condensed Systems |
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123 | (26) |
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123 | (1) |
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123 | (1) |
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124 | (1) |
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124 | (1) |
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125 | (1) |
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Chemical Reaction Thermodynamics |
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126 | (1) |
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Independent Net Reactions |
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126 | (1) |
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Number of Independent Net Reactions |
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127 | (1) |
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Examples Involving Solids |
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128 | (4) |
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Examples Involving Only Condensed Phases |
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132 | (1) |
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133 | (2) |
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Nonstoichiometry and Gibbs Free Energy |
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135 | (2) |
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137 | (1) |
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Energetics of Vacancy Creation |
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138 | (1) |
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138 | (4) |
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The Gibbs-Konovalow Equation |
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142 | (1) |
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Second-Order Phase Transitions |
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142 | (2) |
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144 | (1) |
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Order-Disorder Transition |
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144 | (2) |
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Behavior of cp in the Case of Second-Order Transitions |
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146 | (3) |
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147 | (1) |
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148 | (1) |
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149 | (23) |
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X-Ray Diffraction by a Crystal |
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149 | (5) |
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Finite Summation and Peak Widths (The Fresnel Construction) |
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154 | (3) |
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157 | (1) |
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158 | (1) |
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159 | (1) |
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159 | (2) |
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Rhombohedral Indexed as Hexagonal |
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161 | (1) |
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Indexing of Powder Patterns |
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162 | (2) |
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Least Squares Refinement of Lattice Parameters |
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164 | (2) |
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Indexing of Powder Patterns with No Initial Model |
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166 | (1) |
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166 | (6) |
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170 | (1) |
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171 | (1) |
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Single Crystal Diffraction |
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172 | (19) |
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172 | (1) |
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172 | (1) |
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Rotation with a Cylindrical Film |
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173 | (2) |
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175 | (2) |
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Symmetry of Single-Crystal Diffraction Patterns |
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177 | (2) |
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179 | (1) |
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180 | (1) |
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180 | (1) |
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181 | (5) |
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Sign Assignment and Origin Location |
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186 | (1) |
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The Effect of Centered Cells |
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187 | (1) |
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Other Uses of Symmetry in Sign Assignment |
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188 | (1) |
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188 | (3) |
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189 | (1) |
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190 | (1) |
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191 | (14) |
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191 | (1) |
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191 | (1) |
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Energy Values for Plane Wave Solutions. The Free Electron Model |
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192 | (2) |
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E(k) in the BZ. The Nearly Free Electron Model |
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194 | (2) |
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E vs. K: Bonding and Antibonding Interactions |
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196 | (3) |
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199 | (1) |
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200 | (5) |
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202 | (1) |
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203 | (2) |
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Order-Disorder Transitions |
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205 | (14) |
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The β---β' Brass Transition |
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205 | (2) |
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L Point Ordering in NaCI Type Solids |
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207 | (5) |
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212 | (7) |
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216 | (1) |
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217 | (2) |
| Appendix |
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219 | (56) |
| Index |
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275 | |