Landolt-Brnstein Group III
: Condensed Matter
Volume 30 

High Frequency Properties of Dielectric Crystals 

Subvolume A Piezooptic and Electrooptic Constants 
Introductory material 
1 - 2 See Vol. 29A 3 - 4 See Vol. 29B 
5 
Piezooptic and electrooptic constants of crystals 1

5.1 
Introduction (D.F. NELSON) 1

5.1.1 
Definitions 1

5.1.2 
List of symbols 1

5.1.3 
Index ellipsoid 3

5.1.4 
Linear perturbations of index ellipsoid 3

5.1.5 
Rotooptic effect 4

5.1.6 
Interchange symmetry 4

5.1.7 
Matrix notation 5

5.1.8 
Crystal symmetry 6

5.1.9 
Constitutive relations 7

5.1.10 
Piezooptic relations 8

5.1.11 
Electrooptic relations 9

5.1.12 
Refractive index change formulas 9

5.1.13 
Piezooptic measurements 13

5.1.14 
Electrooptic measurements 14

5.1.15 
Relation to nonlinear susceptibilities 14

5.1.16 
Quadratic electrooptic effect 15

5.1.17 
Piezooptics of absorbing crystals 16

5.2 
Piezooptic and elastooptic coefficients (K. VEDAM) 17

5.2.1 
Comments on tabulated data 17

5.2.2 
Piezooptic and elastooptic coefficients 19

5.2.2.1 
Cubic system: Classes (-4)3m (Td), 432 (O), m3m (Oh) 19

5.2.2.2 
Cubic system: Classes 23 (T), m3(Th) 50

5.2.2.3 
Hexagonal system: Classes (-6)m2 (D3h), 6mm (C6v), 622 (D6), 6/mm (D6h) 56

5.2.2.4 
Hexagonal system: Classes 6 (C6), (-6) (C3h), 6/m (C6h) 58

5.2.2.5 
Trigonal system: Classes 3m (C3v), 32 (D3), (-3)m (D3d) 59

5.2.2.6 
Trigonal system: Classes 3(C3), (-3)(S6) 63

5.2.2.7 
Tetragonal system: Classes 4mm (C4v), (-4)2m (D2d), 422 (D4), 4/mmm (D4h) 64

5.2.2.8 
Tetragonal system: Classes 4 (C4), (-4) (S4), 4/m (C4h) 69

5.2.2.9 
Orthorhombic system: All classes, 222 (D2), mm2 (C2v), mmm (D2h) 71

5.2.2.10 
Monoclinic system: All classes, 2 (C2), m (Cs), 2/m (C2h) 82

5.2.2.11 
Triclinic system: All classes, 1 (C1), and 1 (Ci) 85

5.2.3 
Rotooptic coefficients o 86

5.2.4 
Figures 88

5.3 
Electrooptic coefficients (W.R. COOK JR) 164

5.3.1 
Special introduction 164

5.3.1.1 
List of symbols 164

5.3.1.2 
Comments on tabulated data 165

5.3.1.3 
Electrogyration 168

5.3.2 
Tables of linear electrooptic coefficients 170

5.3.2.1 
Cubic, (-4)3m (Td) 170

5.3.2.2 
Cubic (isometric), 23(T) 174

5.3.2.3 
Hexagonal, 622 (D6) 177

5.3.2.4 
Hexagonal, (-6)m2 (D3h) 177

5.3.2.5 
Hexagonal, 6mm (C6v) 178

5.3.2.6 
Poled ceramics, 8m (C8v) 179

5.3.2.7 
Symmetry 8m (C8v), polymer sheet 181

5.3.2.8 
Hexagonal, 6 (C6) 182

5.3.2.9 
Trigonal (rhombohedral), 32 (D3) 183

5.3.2.10 
Trigonal (rhombohedral), 3m (C3v) 184

5.3.2.11 
Trigonal (rhombohedral), 3 (C3) 187

5.3.2.12 
Tetragonal, 422 (D4) 187

5.3.2.13 
Tetragonal, (-4)2m (D2d) 188

5.3.2.14 
Tetragonal, 4mm (C4v) 197

5.3.2.15 
Tetragonal, (-4) (S4) 201

5.3.2.16 
Orthorhombic, 222 (D2) 202

5.3.2.17 
Orthorhombic, mm2 (C2v) 205

5.3.2.18 
Orthorhombic, mm2 (C2v), piezoelectric polymers 212

5.3.2.19 
Monoclinic, 2 (C2) 213

5.3.2.20 
Monoclinic, m (Cs) 216

5.3.2.21 
Triclinic, 1 (C1) 217

5.3.3 
Quadratic electrooptic coefficients 217

5.3.3.1 
Cubic (isometric), m3m (Oh) 217

5.3.3.2 
Cubic (isometric), (-4)3m (Td) 222

5.3.3.3 
Cubic (isometric), m3 (Th) 222

5.3.3.4 
Ceramics, 8m (C8v) 223

5.3.3.5 
Symmetry 8m (C8v), polymer sheet 226

5.3.3.6 
Trigonal (rhombohedral), 3m (C3v) 226

5.3.3.7 
Trigonal (rhombohedral), 3 (C3) 226

5.3.3.8 
Tetragonal, 422 (D4) 226

5.3.3.9 
Tetragonal, (-4)2m (D2d) 227

5.3.3.10 
Tetragonal, 4mm (C4v) 228

5.3.3.11 
Orthorhombic, mmm (D2h) 229

5.3.3.12 
Orthorhombic, 222 (D2) 229

5.3.3.13 
Orthorhombic mm2 (C2v) 230

5.3.3.14 
Orthorhombic, mm2 (C2v), piezoelectric polymers 231

5.3.3.15 
Monoclinic, 2 (C2) and 2/m (C2h) 231

5.3.3.16 
Monoclinic, m (Cs) 233

5.3.4 
Indices of refraction and Sellmeier coefficients 233

5.3.4.1 
Cubic (isometric), m3m (Oh) 233

5.3.4.2 
Cubic (isometric), (-4)3m (Td) 235

5.3.4.3 
Cubic (isometric), m3 (Th) 238

5.3.4.4 
Cubic (isometric), 23 (T) 238

5.3.4.5 
Hexagonal, 622 (D6) 239

5.3.4.6 
Hexagonal, (-6)m2 (D3h) 239

5.3.4.7 
Hexagonal, 6mm (C6v) 240

5.3.4.8 
Poled ceramics, 8m (C8v) 241

5.3.4.9 
Symmetry 8m (C8v), polymer sheet. Hexagonal, (-6) (C3h) 242

5.3.4.10 
Hexagonal, 6 (C6) 242

5.3.4.11 
Trigonal (rhombohedral), 32 (D3) 244

5.3.4.12 
Trigonal (rhombohedral), 3m (C3v) 247

5.3.4.13 
Trigonal (rhombohedral), 3 (C3) 253

5.3.4.14 
Tetragonal, 422 (D4) 253

5.3.4.15 
Tetragonal, (-4)2m (D2d) 255

5.3.4.16 
Tetragonal, 4mm (C4v) 261

5.3.4.17 
Orthorhombic, 222 (D2) 263

5.3.4.18 
Orthorhombic, mm2 (C2v) 266

5.3.4.19 
Monoclinic, 2 (C2) 274

5.3.4.20 
Monoclinic, m (Cs) 278

5.3.4.21 
Triclinic, 1 (C1) 279

5.3.5 
Temperature coefficients 280

5.3.5.1 
Temperature coefficients of the linear electrooptic coefficients r 280

5.3.5.1.1 
Cubic (isometric), (-4)3m (Td) 280

5.3.5.1.2 
Trigonal (rhombohedral), 3m (C3v) and Tetragonal, 4mm (C4v) 280

5.3.5.2 
Temperature coefficients of indices of refraction 281

5.3.5.2.1 
Cubic (isometric), (-4)3m (Td) 281

5.3.5.2.2 
Cubic (isometric), 23 (T) 281

5.3.5.2.3 
Hexagonal, 6 mm (C6v) 282

5.3.5.2.4 
Hexagonal, 6 (C6) and Trigonal (rhombohedral), 32 (D3) 282

5.3.5.2.5 
Trigonal (rhombohedral), 3m (C3v) 283

5.3.5.2.6 
Tetragonal, (-4)2m (D2d) 285

5.3.5.2.7 
Tetragonal, 4 mm (C4v) 287

5.3.5.2.8 
Orthorhombic, 222 (D2) 287

5.3.5.2.9 
Orthorhombic, mm2 (C2v) 288

5.3.6 
Electrogyration 288

5.3.6.1 
Cubic (isometric), m3 (Th) 288

5.3.6.2 
Cubic (isometric), 23 (T) 289

5.3.6.3 
Hexagonal, 6/m (C6h) 289

5.3.6.4 
Hexagonal, 6 (C6) 289

5.3.6.5 
Trigonal (rhombohedral), 32 (D3) 290

5.3.6.6 
Trigonal (rhombohedral), 3 (C3) 290

5.3.6.7 
Tetragonal, 422 (D4) 291

5.3.6.8 
Tetragonal, (-4)2m (D2d) 291

5.3.6.9 
Tetragonal, 4/m (C4h) 291

5.3.6.10 
Tetragonal, (-4) (S4) 291

5.3.6.11 
Tetragonal, 4 (C4) 292

5.3.6.12 
Orthorhombic, 222 (D2) 292

5.3.6.13 
Orthorhombic, mm2 (C2v) 292

5.3.6.14 
Monoclinic, 2 (C2) and m (Cs) 293

5.3.7 
Figures 294


5.4  Bibliography  331  
5.4.1  Books and review articles  331  
5.4.2  References  333  
Index of substances (See Vol. 30B)  
Alphabetical index of element systems  
Alphabetical index of names  

