Guide to the use of the scanning tables

Kopskyacute, V.; Litvin, D. B.

doi:10.1107/97809553602060000788

International Tables for Crystallography (2010). Vol. E. ch. 5.2, pp. 395-420 | 1 | 2 |
https://doi.org/10.1107/97809553602060000788

Chapter 5.2. Guide to the use of the scanning tables

5.2. Guide to the use of the scanning tables (pp. 395-420) | html | pdf | chapter contents |
V. Kopský and D. B. Litvin
- 5.2.1. Introduction (pp. 395-396) | html | pdf |
- 5.2.2. The basic concepts of the scanning (pp. 396-401) | html | pdf |
  - 5.2.2.1. The scanning for sectional layer groups (pp. 396-397) | html | pdf |
  - 5.2.2.2. The scanning group and the scanning theorem (p. 397) | html | pdf |
  - 5.2.2.3. The conventional basis of the scanning group (pp. 397-398) | html | pdf |
  - 5.2.2.4. The types of scanning (p. 398) | html | pdf |
  - 5.2.2.5. Orientation orbits (p. 399) | html | pdf |
  - 5.2.2.6. Linear orbits (pp. 399-400) | html | pdf |
  - 5.2.2.7. Orthogonal, inclined and triclinic scanning (pp. 400-401) | html | pdf |
- 5.2.3. The contents and arrangement of the scanning tables (pp. 401-405) | html | pdf |
  - 5.2.3.1. The standard format (pp. 401-403) | html | pdf |
    - 5.2.3.1.1. Headline (p. 401) | html | pdf |
    - 5.2.3.1.2. Orientation orbit (p. 401) | html | pdf |
    - 5.2.3.1.3. The scanning group and its conventional basis (pp. 401-402) | html | pdf |
    - 5.2.3.1.4. The linear orbits and sectional layer groups (pp. 402-403) | html | pdf |
  - 5.2.3.2. Auxiliary tables (pp. 403-405) | html | pdf |
    - 5.2.3.2.1. Tables of orientation orbits and auxiliary bases of scanning groups (p. 404) | html | pdf |
    - 5.2.3.2.2. Reference tables (pp. 404-405) | html | pdf |
- 5.2.4. Guidelines for individual systems (pp. 405-414) | html | pdf |
  - 5.2.4.1. Triclinic system (p. 405) | html | pdf |
  - 5.2.4.2. Monoclinic system (pp. 405-406) | html | pdf |
  - 5.2.4.3. Orthorhombic system (pp. 406-407) | html | pdf |
    - 5.2.4.3.1. Orthogonal scanning, standard tables (p. 406) | html | pdf |
    - 5.2.4.3.2. Inclined scanning, auxiliary tables (pp. 406-407) | html | pdf |
  - 5.2.4.4. Tetragonal system (pp. 407-408) | html | pdf |
    - 5.2.4.4.1. Orthogonal scanning, standard tables (p. 407) | html | pdf |
    - 5.2.4.4.2. Inclined scanning, auxiliary tables (pp. 407-408) | html | pdf |
  - 5.2.4.5. Hexagonal family (pp. 408-411) | html | pdf |
    - 5.2.4.5.1. Orthogonal scanning, standard tables (pp. 408-410) | html | pdf |
    - 5.2.4.5.2. Inclined scanning, auxiliary tables (pp. 410-411) | html | pdf |
  - 5.2.4.6. Cubic system (pp. 411-414) | html | pdf |
    - 5.2.4.6.1. Orthogonal scanning, standard tables (pp. 411-413) | html | pdf |
    - 5.2.4.6.2. Inclined scanning, auxiliary tables (pp. 413-414) | html | pdf |
- 5.2.5. Applications (pp. 414-419) | html | pdf |
  - 5.2.5.1. Layer symmetries in crystal structures (p. 414) | html | pdf |
  - 5.2.5.2. Interfaces in crystalline materials (pp. 414-415) | html | pdf |
  - 5.2.5.3. The symmetry of domain twins and domain walls (pp. 415-419) | html | pdf |
- References | html | pdf |
- Figures
  - Fig. 5.2.2.1. Sets of parallel planes (left) and sets of parallel straight lines (right) (p. 396) | html | pdf |
  - Fig. 5.2.2.2. Monoclinic/orthogonal (left) and monoclinic/inclined (right) scanning (p. 400) | html | pdf |
  - Fig. 5.2.4.1. Six monoclinic cell choices (p. 405) | html | pdf |
  - Fig. 5.2.4.2. Symbols for a hexagonal lattice with a rectangular point group (p. 408) | html | pdf |
  - Fig. 5.2.4.3. Another choice of orthogonal basis vectors for a hexagonal lattice (p. 409) | html | pdf |
  - Fig. 5.2.4.4. The relationship between hexagonal and rhombohedral bases in the obverse setting (p. 409) | html | pdf |
  - Fig. 5.2.4.5. The diagram of the scanning group $[R{\bar 3}m]$ in the plane of orientation $[({\bar 1}2{\bar 1}0)]$ projected orthogonally along $[{\bf b}]$ (p. 409) | html | pdf |
  - Fig. 5.2.4.6. The diagram of the scanning group $[R{\bar 3}c]$ in the plane of orientation $[({\bar 1}2{\bar 1}0)]$ projected orthogonally along $[{\bf b}]$ (p. 410) | html | pdf |
  - Fig. 5.2.4.7. Illustration of the transformation of Bravais–Miller indices in a hexagonal basis to Bravais indices in an auxiliary basis (p. 410) | html | pdf |
  - Fig. 5.2.4.8. Vectors along the main cubic axes (p. 412) | html | pdf |
  - Fig. 5.2.4.9. The cubic scanning for orientation (111) in the case of cubic groups with a P lattice (p. 412) | html | pdf |
  - Fig. 5.2.4.10. The cubic scanning for orientation (111) in the case of cubic groups with an I lattice (p. 412) | html | pdf |
  - Fig. 5.2.4.11. The cubic scanning for orientation (111) in the case of cubic groups with an F lattice (p. 413) | html | pdf |
  - Fig. 5.2.5.1. The structure of cadmium iodide, CdI₂ (p. 414) | html | pdf |
  - Fig. 5.2.5.2. The structure of cadmium chloride, CdCl₂ (p. 415) | html | pdf |
  - Fig. 5.2.5.3. A classical example of a bicrystal (Vlachavas, 1985) (p. 416) | html | pdf |
  - Fig. 5.2.5.4. The four types of operations on a twin (p. 416) | html | pdf |
  - Fig. 5.2.5.5. The unit cell of the parent structure of calomel and the cells of four ferroic domain states (p. 417) | html | pdf |
  - Fig. 5.2.5.6. The unordered domain pair between the two domain states (p. 418) | html | pdf |
  - Fig. 5.2.5.7. The structures and symmetries of domain twins in calomel corresponding to two different special positions of the wall (p. 419) | html | pdf |
- Tables
  - Table 5.2.2.1. Various types of scanning (p. 398) | html | pdf |
  - Table 5.2.5.1. Symmetries of domain states and domain pairs in a calomel crystal (p. 418) | html | pdf |
  - Table 5.2.5.2. Sectional layer groups of space groups $[{\cal F}_{12}]$ and $[{\cal J}_{12}]$ in the conventional basis $[({\bf a}' = 2{\bf b}_{t},{\bf b}' = {\bf c}_{t},{\bf d} = 2{\bf a}_{t})]$ of the scanning group $[Bm_{y}m_{z}m_{x}]$ and the respective twin symmetries (p. 418) | html | pdf |

Chapter 5.2. Guide to the use of the scanning tables

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