Landolt-Brnstein Group III: Condensed Matter 
Volume 29 Low Frequency Properties of Dielectric Crystals 
Subvolume A Second and Higher Order Elastic Constants 
Introductory material 
1	The elastic constants of crystals (A.G. EVERY, A.K. MCCURDY) 1 
1.1	Introduction 1 
1.1.1	Notation, units and abbreviations 1 
1.1.2	Stiffness and compliance constants 2 
1.1.3	Methods for the determination of the elastic constants 5 
1.1.4	Secondary effects: thermal, electrical and magnetic conditions 6 
1.1.5	Secondary effects: frequency 6 
1.1.6	Temperature coefficients 7 
1.1.7	Pressure coefficients 7 
1.1.8	Accuracy and selection of data 8 
1.1.9	Arrangement of tables and graphs 9 
1.1.10	Notes on bibliography 9 
1.2	Tables 11 
1.2.1	Elastic constants s, c 11 Table 3. Cubic system. Elements 11 Table 4. Cubic system. Alloys 17 Table 5. Cubic system. Intermetallic compounds 51 Table 6. Cubic system. Solid solutions 55 Table 7. Cubic system. Binary compounds 66 Table 8. Cubic system. Alums 82 Table 9. Cubic system. Miscellaneous compounds 84 Table 10. Cubic system. Incomplete sets of constants 101 Table 11. Hexagonal system 105 Table 12. Hexagonal system. Incomplete sets of constants 129 Table 13. Hexagonal system. Non-crystalline materials 134 Table 14. Trigonal system, 6 constants 139 Table 15. Composition in wt % for the tourmalines of Table 14 154 Table 16. Trigonal system, 6 constants. Incomplete sets of constants 155 Table 17. Trigonal system, 7 constants 158 Table 18. Tetragonal system, 6 constants 159 Table 19. Tetragonal system, 7 constants 172 Table 20. Tetragonal system. Incomplete sets of constants 175 Table 21. Orthorhombic system, 9 constants 182 Table 22. Orthorhombic system. Incomplete sets of constants 203 Table 23. Orthorhombic system. Non-crystalline materials 209 Table 24. Monoclinic system 210 Table 25. Densities and compositions of soda-potash feldspars of Table 24 222 Table 26. Monoclinic system. Incomplete sets of constants 219 Table 27. Triclinic system 222 
1.2.2	Temperature coefficients Tc 224
Table 28. Cubic system. Elements 224
Table 29. Cubic system. Alloys 227
Table 30. Cubic system. Intermetallic compounds 233
Table 31. Cubic system. Solid solutions 234
Table 32. Cubic system. Binary compounds 237
Table 33. Cubic system. Alums 242
Table 34. Cubic system. Miscellaneous compounds 243
Table 35. Hexagonal system 247
Table 36. Trigonal system 251
Table 37. Trigonal system, higher-order temperature coefficients of stiffnesses c 256
Table 38. Values of (c)0 and (s)0 for use with temperature coefficients 259
Table 39. Trigonal system, higher-order temperature coefficients of compliances s 260
Table 40. Tetragonal system, 6 constants 261
Table 41. Tetragonal system, 7 constants 265
Table 42. Orthorhombic system 266
Table 43. Monoclinic system 270
Table 44. Triclinic system 271

1.2.3	Pressure coefficients Pc 272
Table 45. Cubic system. Elements 272
Table 46. Cubic system. Alloys, intermetallic compounds, and solid solutions 274
Table 47. Cubic system. Binary compounds 277
Table 48. Cubic system. Miscellaneous compounds, including alums 282
Table 49. Hexagonal system 286
Table 50. Trigonal system, 6 or 7 constants 288
Table 51. Tetragonal system, 6 or 7 constants 290
Table 52. Orthorhombic system 293
Table 53. Monoclinic system 295

1.3	Figures 296

1.4	Bibliography 576

1.4.1	General references 576

1.4.2	Special references 579

2	The third and higher-order elastic constants (A.G. EVERY, A.K. MCCURDY) 635

2.1	Introduction 635

2.1.1	Notation, units and abbreviations 635

2.1.2	Theory and notation 635

2.1.3	Third-order coefficients of the various crystal classes 638

2.1.4	Macroscopic theory of higher-order constants 641

2.1.5	Methods for the determination of the third-order elastic constants 642

2.1.6	Applications and theoretical developments 644

2.1.7	The effect of temperature and electrical conditions on the third-order stiffnesses 645

2.1.8	The third-order compliances 645

2.1.9	Arrangement of tables and comments 645

2.1.10	Notes on bibliography 646

2.2	Tables of third-order stiffnesses 647
Table 9. Cubic system VIIb. Ionic compounds and oxides 647
Table 10. Cubic system VIIb. Semiconductors and insulators 648
Table 11. Cubic system VIIb. Metals and alloys 649

Table 12. Cubic system VIIb. Miscellaneous compounds including solid solutions 651
Table 13. Cubic system VIIb. Combinations and partial sets of constants 653
Table 14. Cubic system VIIa 655
Table 15. Hexagonal system VIa 656
Table 16. Hexagonal system VIb 656
Table 17. Trigonal system Vb 657
Table 18. Tetragonal system IVb 658
Table 19. Orthorhombic system III 660
Table 20. Monoclinic system II 661
Table 21. Trigonal system Vb. Semiempirical estimates. Calcite-type compounds 662
Table 22. Monoclinic system II. Temperature coefficients of the third-order stiffnesses 662

2.3	Tables of fourth-order stiffnesses 663
Table 23. Cubic system VIIb. Fourth-order stiffnesses for metals. Complete sets 663
Table 24. Fourth-order stiffnesses. Incomplete sets 664
Table 25. Cubic system VIIb. Combinations of fourth-order stiffnesses 664
Table 26. Hexagonal system VIb. Fourth-order stiffnesses 665
Table 27. Hexagonal system VIb. Combinations of the fourth-order stiffnesses 665

2.4	Figures 666

2.5	Bibliography 674

2.5.1	General references 674

2.5.2	Special references 675

Index of substances (See Vol. 30B)
Alphabetical index of element systems
Alphabetical index of names




