International Tables for Crystallography (2006). Vol. D. ch. 1.10, pp. 243-264
https://doi.org/10.1107/97809553602060000637 |
Chapter 1.10. Tensors in quasiperiodic structures
Contents
- 1.10. Tensors in quasiperiodic structures (pp. 243-264) | html | pdf | chapter contents |
- 1.10.1. Quasiperiodic structures (pp. 243-245) | html | pdf |
- 1.10.2. Symmetry (pp. 245-247) | html | pdf |
- 1.10.3. Action of the symmetry group (pp. 247-249) | html | pdf |
- 1.10.4. Tensors (pp. 249-255) | html | pdf |
- 1.10.4.1. Tensors in higher-dimensional spaces (pp. 249-250) | html | pdf |
- 1.10.4.2. Tensors in superspace (p. 250) | html | pdf |
- 1.10.4.3. Inhomogeneous tensors (pp. 250-251) | html | pdf |
- 1.10.4.4. Irreducible representations (p. 251) | html | pdf |
- 1.10.4.5. Determining the number of independent tensor elements (pp. 251-253) | html | pdf |
- 1.10.4.6. Determining the independent tensor elements (pp. 253-255) | html | pdf |
- 1.10.4.6.1. Metric tensor for an octagonal three-dimensional quasicrystal (p. 253) | html | pdf |
- 1.10.4.6.2. EFG tensor for Pcmn (pp. 253-254) | html | pdf |
- 1.10.4.6.3. Elasticity tensor for a two-dimensional octagonal quasicrystal (p. 254) | html | pdf |
- 1.10.4.6.4. Piezoelectric tensor for a three-dimensional octagonal quasicrystal (pp. 254-255) | html | pdf |
- 1.10.4.6.5. Elasticity tensor for an icosahedral quasicrystal (p. 255) | html | pdf |
- 1.10.5. Tables (pp. 255-264) | html | pdf |
- References | html | pdf |
- Tables
- Table 1.10.2.1. Allowable three-dimensional point groups for systems up to rank six (p. 248) | html | pdf |
- Table 1.10.4.1. Characters of the point group for representations relevant for elasticity (p. 252) | html | pdf |
- Table 1.10.4.2. Sign change of under the generators A, B, C (p. 253) | html | pdf |
- Table 1.10.4.3. Elastic constants for icosahedral quasicrystals (p. 256) | html | pdf |
- Table 1.10.5.1. Character tables of some point groups for quasicrystals (pp. 256-257) | html | pdf |
- Table 1.10.5.2. Matrices of the irreducible representations of dimension corresponding to the irreps of Table 1.10.5.1 (pp. 258-263) | html | pdf |
- Table 1.10.5.3. The representation matrices for (p. 264) | html | pdf |