(International Tables) Subperiodic groups

International Tables for Crystallography
Volume E: Subperiodic groups

Second online edition (2010) ISBN: 978-0-470-68672-0 doi: 10.1107/97809553602060000109 | 1 | 2 |

Edited by V. Kopský and D. B. Litvin

Preface (p. ix) | html | pdf |
V. Kopský and D. B. Litvin

Part 1. Subperiodic group tables: frieze-group, rod-group and layer-group types
- 1.1. Symbols and terms used in Parts 1–4 (pp. 2-4) | html | pdf | chapter contents |
  V. Kopský and D. B. Litvin
  - References | html | pdf |
  - Tables
    - Table 1.1.1. Printed symbols for crystallographic items (p. 2) | html | pdf |
    - Table 1.1.2. Printed symbols for symmetry elements and for the corresponding symmetry operations (p. 2) | html | pdf |
    - Table 1.1.3. Graphical symbols (pp. 3-4) | html | pdf |
- 1.2. Guide to the use of the subperiodic group tables (pp. 5-29) | html | pdf | chapter contents |
  V. Kopský and D. B. Litvin
  - 1.2.1. Classification of subperiodic groups (pp. 5-7) | html | pdf |
    - 1.2.1.1. Subperiodic group types (p. 5) | html | pdf |
    - 1.2.1.2. Other classifications (pp. 5-7) | html | pdf |
      - 1.2.1.2.1. Conventional coordinate systems (pp. 5-7) | html | pdf |
  - 1.2.2. Contents and arrangement of the tables (p. 7) | html | pdf |
    - 1.2.2.1. Subperiodic groups with more than one description (p. 7) | html | pdf |
  - 1.2.3. Headline (p. 7) | html | pdf |
  - 1.2.4. International (Hermann–Mauguin) symbols for subperiodic groups (pp. 7-8) | html | pdf |
  - 1.2.5. Patterson symmetry (p. 8) | html | pdf |
  - 1.2.6. Subperiodic group diagrams (pp. 8-14) | html | pdf |
  - 1.2.7. Origin (p. 14) | html | pdf |
  - 1.2.8. Asymmetric unit (pp. 14-15) | html | pdf |
    - 1.2.8.1. Frieze groups (p. 15) | html | pdf |
    - 1.2.8.2. Rod groups (p. 15) | html | pdf |
    - 1.2.8.3. Layer groups (p. 15) | html | pdf |
  - 1.2.9. Symmetry operations (pp. 15-16) | html | pdf |
    - 1.2.9.1. Numbering scheme (pp. 15-16) | html | pdf |
    - 1.2.9.2. Designation of symmetry operations (p. 16) | html | pdf |
  - 1.2.10. Generators (p. 16) | html | pdf |
  - 1.2.11. Positions (p. 16) | html | pdf |
  - 1.2.12. Oriented site-symmetry symbols (pp. 16-17) | html | pdf |
  - 1.2.13. Reflection conditions (p. 17) | html | pdf |
  - 1.2.14. Symmetry of special projections (pp. 17-19) | html | pdf |
    - 1.2.14.1. Data listed in the subperiodic group tables (pp. 17-19) | html | pdf |
    - 1.2.14.2. Projections of centred subperiodic groups (p. 19) | html | pdf |
    - 1.2.14.3. Projection of symmetry elements (p. 19) | html | pdf |
  - 1.2.15. Maximal subgroups and minimal supergroups (pp. 19-21) | html | pdf |
    - 1.2.15.1. Maximal non-isotypic non-enantiomorphic subgroups (pp. 20-21) | html | pdf |
      - 1.2.15.1.1. Blocks I and IIa (p. 20) | html | pdf |
      - 1.2.15.1.2. Block IIb (pp. 20-21) | html | pdf |
    - 1.2.15.2. Maximal isotypic subgroups and enantiomorphic subgroups of lowest index (p. 21) | html | pdf |
    - 1.2.15.3. Minimal non-isotypic non-enantiomorphic supergroups (p. 21) | html | pdf |
    - 1.2.15.4. Minimal isotypic supergroups and enantiomorphic supergroups of lowest index (p. 21) | html | pdf |
  - 1.2.16. Nomenclature (pp. 21-22) | html | pdf |
  - 1.2.17. Symbols (pp. 22-24) | html | pdf |
    - 1.2.17.1. Frieze groups (p. 22) | html | pdf |
    - 1.2.17.2. Rod groups (pp. 22-24) | html | pdf |
    - 1.2.17.3. Layer groups (p. 24) | html | pdf |
  - References | html | pdf |
  - Figures
    - Fig. 1.2.1.1. Monoclinic/inclined basis vectors (p. 6) | html | pdf |
    - Fig. 1.2.1.2. Monoclinic/orthogonal basis vectors (p. 7) | html | pdf |
    - Fig. 1.2.6.1. Diagrams for triclinic/oblique layer groups (p. 9) | html | pdf |
    - Fig. 1.2.6.2. Diagrams for monoclinic/oblique layer groups (p. 9) | html | pdf |
    - Fig. 1.2.6.3. Monoclinic/oblique layer groups Nos (p. 9) | html | pdf |
    - Fig. 1.2.6.4. Diagrams for monoclinic/rectangular layer groups (p. 9) | html | pdf |
    - Fig. 1.2.6.5. Diagrams for orthorhombic/rectangular layer groups (p. 9) | html | pdf |
    - Fig. 1.2.6.6. Monoclinic/rectangular and orthorhombic/rectangular layer groups with two settings (p. 9) | html | pdf |
    - Fig. 1.2.6.7. Diagrams for square/tetragonal layer groups (p. 10) | html | pdf |
    - Fig. 1.2.6.8. Diagrams for trigonal/hexagonal and hexagonal/hexagonal layer groups (p. 10) | html | pdf |
    - Fig. 1.2.6.9. Diagrams for triclinic rod groups (p. 10) | html | pdf |
    - Fig. 1.2.6.10. Diagrams for monoclinic/inclined rod groups (p. 11) | html | pdf |
    - Fig. 1.2.6.11. Diagrams for monoclinic/orthogonal rod groups (p. 11) | html | pdf |
    - Fig. 1.2.6.12. Diagrams for orthorhombic rod groups (p. 12) | html | pdf |
    - Fig. 1.2.6.13. Setting symbols on symmetry diagrams for the monoclinic/inclined, monoclinic/orthogonal and orthorhombic rod groups (p. 12) | html | pdf |
    - Fig. 1.2.6.14. Diagrams for tetragonal rod groups (p. 12) | html | pdf |
    - Fig. 1.2.6.15. Diagrams for trigonal and hexagonal rod groups (p. 13) | html | pdf |
    - Fig. 1.2.6.16. Diagrams for oblique frieze groups (p. 13) | html | pdf |
    - Fig. 1.2.6.17. Diagrams for rectangular frieze groups (p. 13) | html | pdf |
    - Fig. 1.2.6.18. The two settings for frieze groups (p. 14) | html | pdf |
    - Fig. 1.2.8.1. Boundaries used to define the asymmetric unit for ( a ) tetragonal rod groups and ( b ) trigonal and hexagonal rod groups (p. 14) | html | pdf |
    - Fig. 1.2.8.2. Boundaries used to define the asymmetric unit for ( a ) tetragonal/square layer groups and ( b ) trigonal/hexagonal and hexagonal/hexagonal layer groups (p. 15) | html | pdf |
  - Tables
    - Table 1.2.1.1. Classification of layer groups (p. 6) | html | pdf |
    - Table 1.2.1.2. Classification of rod groups (p. 6) | html | pdf |
    - Table 1.2.1.3. Classification of frieze groups (p. 6) | html | pdf |
    - Table 1.2.4.1. Sets of symmetry directions and their positions in the Hermann–Mauguin symbol (p. 8) | html | pdf |
    - Table 1.2.5.1. Patterson symmetries for subperiodic groups (p. 8) | html | pdf |
    - Table 1.2.6.1. Distinct Hermann–Mauguin symbols for monoclinic/rectangular and orthorhombic/rectangular layer groups in different settings (p. 9) | html | pdf |
    - Table 1.2.6.2. Distinct Hermann–Mauguin symbols for monoclinic and orthorhombic rod groups in different settings (p. 13) | html | pdf |
    - Table 1.2.6.3. Distinct Hermann–Mauguin symbols for tetragonal, trigonal and hexagonal rod groups in different settings (p. 13) | html | pdf |
    - Table 1.2.6.4. Distinct Hermann–Mauguin symbols for frieze groups in different settings (p. 14) | html | pdf |
    - Table 1.2.13.1. General reflection conditions due to glide planes and screw axes (p. 17) | html | pdf |
    - Table 1.2.14.1. a ′, b ′, γ′ ( a ′) of the projected conventional coordinate system in terms of a , b , c , α, β, γ ( a , b , γ) of the conventional coordinate system of the layer and rod groups (frieze groups) (p. 18) | html | pdf |
    - Table 1.2.14.2. Projection of three-dimensional symmetry elements (layer and rod groups) (p. 19) | html | pdf |
    - Table 1.2.14.3. Projection of two-dimensional symmetry elements (frieze groups) (p. 20) | html | pdf |
    - Table 1.2.17.1. Frieze-group symbols (p. 22) | html | pdf |
    - Table 1.2.17.2. Rod-group symbols (pp. 23-24) | html | pdf |
    - Table 1.2.17.3. Layer-group symbols (pp. 25-28) | html | pdf |

Part 2. The 7 frieze groups
- 2.1. The 7 frieze groups (pp. 31-36) | html | | chapter contents |
  - Frieze group 1 (p. 32) | html | pdf |
  - Frieze group 2 (p. 33) | html | pdf |
  - Frieze group 3 (p. 34) | html | pdf |
  - Frieze group 4 (p. 35) | html | pdf |
  - Frieze group 5 (p. 36) | html | pdf |
  - Frieze group 6 (p. 37) | html | pdf |
  - Frieze group 7 (p. 38) | html | pdf |

Part 3. The 75 rod groups
- 3.1. The 75 rod groups (pp. 39-219) | html | | chapter contents |
  - Rod group 1 (pp. 40-41) | html | pdf |
  - Rod group 2 (pp. 42-43) | html | pdf |
  - Rod group 3 (pp. 44-45) | html | pdf |
  - Rod group 4 (pp. 46-47) | html | pdf |
  - Rod group 5 (pp. 48-49) | html | pdf |
  - Rod group 6 (pp. 50-51) | html | pdf |
  - Rod group 7 (pp. 52-53) | html | pdf |
  - Rod group 8 (pp. 54-55) | html | pdf |
  - Rod group 9 (pp. 56-57) | html | pdf |
  - Rod group 10 (pp. 58-59) | html | pdf |
  - Rod group 11 (pp. 60-61) | html | pdf |
  - Rod group 12 (pp. 62-63) | html | pdf |
  - Rod group 13 (pp. 64-65) | html | pdf |
  - Rod group 14 (pp. 66-67) | html | pdf |
  - Rod group 15 (pp. 68-69) | html | pdf |
  - Rod group 16 (pp. 70-71) | html | pdf |
  - Rod group 17 (pp. 72-73) | html | pdf |
  - Rod group 18 (pp. 74-75) | html | pdf |
  - Rod group 19 (pp. 76-77) | html | pdf |
  - Rod group 20 (pp. 78-79) | html | pdf |
  - Rod group 21 (pp. 80-81) | html | pdf |
  - Rod group 22 (pp. 82-83) | html | pdf |
  - Rod group 23 (pp. 84-85) | html | pdf |
  - Rod group 24 (pp. 86-87) | html | pdf |
  - Rod group 25 (pp. 88-89) | html | pdf |
  - Rod group 26 (pp. 90-91) | html | pdf |
  - Rod group 27 (pp. 92-93) | html | pdf |
  - Rod group 28 (pp. 94-95) | html | pdf |
  - Rod group 29 (pp. 96-97) | html | pdf |
  - Rod group 30 (pp. 98-99) | html | pdf |
  - Rod group 31 (pp. 100-101) | html | pdf |
  - Rod group 32 (pp. 102-103) | html | pdf |
  - Rod group 33 (pp. 104-105) | html | pdf |
  - Rod group 34 (pp. 106-107) | html | pdf |
  - Rod group 35 (pp. 108-111) | html | pdf |
    - Rod group 35, first setting (pp. 108-109) | html | pdf |
    - Rod group 35, second setting (pp. 110-111) | html | pdf |
  - Rod group 36 (pp. 112-113) | html | pdf |
  - Rod group 37 (pp. 114-117) | html | pdf |
    - Rod group 37, first setting (pp. 114-115) | html | pdf |
    - Rod group 37, second setting (pp. 116-117) | html | pdf |
  - Rod group 38 (pp. 118-121) | html | pdf |
    - Rod group 38, first setting (pp. 118-119) | html | pdf |
    - Rod group 38, second setting (pp. 120-121) | html | pdf |
  - Rod group 39 (pp. 122-123) | html | pdf |
  - Rod group 40 (pp. 124-125) | html | pdf |
  - Rod group 41 (pp. 126-129) | html | pdf |
    - Rod group 41, first setting (pp. 126-127) | html | pdf |
    - Rod group 41, second setting (pp. 128-129) | html | pdf |
  - Rod group 42 (pp. 130-131) | html | pdf |
  - Rod group 43 (pp. 132-133) | html | pdf |
  - Rod group 44 (pp. 134-135) | html | pdf |
  - Rod group 45 (pp. 136-137) | html | pdf |
  - Rod group 46 (pp. 138-141) | html | pdf |
    - Rod group 46, first setting (pp. 138-139) | html | pdf |
    - Rod group 46, second setting (pp. 140-141) | html | pdf |
  - Rod group 47 (pp. 142-145) | html | pdf |
    - Rod group 47, first setting (pp. 142-143) | html | pdf |
    - Rod group 47, second setting (pp. 144-145) | html | pdf |
  - Rod group 48 (pp. 146-149) | html | pdf |
    - Rod group 48, first setting (pp. 146-147) | html | pdf |
    - Rod group 48, second setting (pp. 148-149) | html | pdf |
  - Rod group 49 (pp. 150-153) | html | pdf |
    - Rod group 49, first setting (pp. 150-151) | html | pdf |
    - Rod group 49, second setting (pp. 152-153) | html | pdf |
  - Rod group 50 (pp. 154-157) | html | pdf |
    - Rod group 50, first setting (pp. 154-155) | html | pdf |
    - Rod group 50, second setting (pp. 156-157) | html | pdf |
  - Rod group 51 (pp. 158-161) | html | pdf |
    - Rod group 51, first setting (pp. 158-159) | html | pdf |
    - Rod group 51, second setting (pp. 160-161) | html | pdf |
  - Rod group 52 (pp. 162-165) | html | pdf |
    - Rod group 52, first setting (pp. 162-163) | html | pdf |
    - Rod group 52, second setting (pp. 164-165) | html | pdf |
  - Rod group 53 (pp. 166-167) | html | pdf |
  - Rod group 54 (pp. 168-169) | html | pdf |
  - Rod group 55 (pp. 170-171) | html | pdf |
  - Rod group 56 (pp. 172-173) | html | pdf |
  - Rod group 57 (pp. 174-175) | html | pdf |
  - Rod group 58 (pp. 176-177) | html | pdf |
  - Rod group 59 (pp. 178-179) | html | pdf |
  - Rod group 60 (pp. 180-181) | html | pdf |
  - Rod group 61 (pp. 182-183) | html | pdf |
  - Rod group 62 (pp. 184-185) | html | pdf |
  - Rod group 63 (pp. 186-187) | html | pdf |
  - Rod group 64 (pp. 188-189) | html | pdf |
  - Rod group 65 (pp. 190-191) | html | pdf |
  - Rod group 66 (pp. 192-193) | html | pdf |
  - Rod group 67 (pp. 194-195) | html | pdf |
  - Rod group 68 (pp. 196-197) | html | pdf |
  - Rod group 69 (pp. 198-199) | html | pdf |
  - Rod group 70 (pp. 200-203) | html | pdf |
    - Rod group 70, first setting (pp. 200-201) | html | pdf |
    - Rod group 70, second setting (pp. 202-203) | html | pdf |
  - Rod group 71 (pp. 204-207) | html | pdf |
    - Rod group 71, first setting (pp. 204-205) | html | pdf |
    - Rod group 71, second setting (pp. 206-207) | html | pdf |
  - Rod group 72 (pp. 208-211) | html | pdf |
    - Rod group 72, first setting (pp. 208-209) | html | pdf |
    - Rod group 72, second setting (pp. 210-211) | html | pdf |
  - Rod group 73 (pp. 212-213) | html | pdf |
  - Rod group 74 (pp. 214-215) | html | pdf |
  - Rod group 75 (pp. 216-219) | html | pdf |
    - Rod group 75, first setting (pp. 216-217) | html | pdf |
    - Rod group 75, second setting (pp. 218-219) | html | pdf |

Part 4. The 80 layer groups
- 4.1. The 80 layer groups (pp. 221-391) | html | | chapter contents |
  - Layer group 1 (pp. 222-223) | html | pdf |
  - Layer group 2 (pp. 224-225) | html | pdf |
  - Layer group 3 (pp. 226-227) | html | pdf |
  - Layer group 4 (pp. 228-229) | html | pdf |
  - Layer group 5 (pp. 230-233) | html | pdf |
  - Layer group 6 (pp. 234-235) | html | pdf |
  - Layer group 7 (pp. 236-239) | html | pdf |
  - Layer group 8 (pp. 240-241) | html | pdf |
  - Layer group 9 (pp. 242-243) | html | pdf |
  - Layer group 10 (pp. 244-245) | html | pdf |
  - Layer group 11 (pp. 246-247) | html | pdf |
  - Layer group 12 (pp. 248-249) | html | pdf |
  - Layer group 13 (pp. 250-251) | html | pdf |
  - Layer group 14 (pp. 252-253) | html | pdf |
  - Layer group 15 (pp. 254-255) | html | pdf |
  - Layer group 16 (pp. 256-257) | html | pdf |
  - Layer group 17 (pp. 258-259) | html | pdf |
  - Layer group 18 (pp. 260-261) | html | pdf |
  - Layer group 19 (pp. 262-263) | html | pdf |
  - Layer group 20 (pp. 264-265) | html | pdf |
  - Layer group 21 (pp. 266-267) | html | pdf |
  - Layer group 22 (pp. 268-269) | html | pdf |
  - Layer group 23 (pp. 270-271) | html | pdf |
  - Layer group 24 (pp. 272-273) | html | pdf |
  - Layer group 25 (pp. 274-275) | html | pdf |
  - Layer group 26 (pp. 276-277) | html | pdf |
  - Layer group 27 (pp. 278-279) | html | pdf |
  - Layer group 28 (pp. 280-281) | html | pdf |
  - Layer group 29 (pp. 282-283) | html | pdf |
  - Layer group 30 (pp. 284-285) | html | pdf |
  - Layer group 31 (pp. 286-287) | html | pdf |
  - Layer group 32 (pp. 288-289) | html | pdf |
  - Layer group 33 (pp. 290-291) | html | pdf |
  - Layer group 34 (pp. 292-293) | html | pdf |
  - Layer group 35 (pp. 294-295) | html | pdf |
  - Layer group 36 (pp. 296-297) | html | pdf |
  - Layer group 37 (pp. 298-299) | html | pdf |
  - Layer group 38 (pp. 300-301) | html | pdf |
  - Layer group 39 (pp. 302-303) | html | pdf |
  - Layer group 40 (pp. 304-305) | html | pdf |
  - Layer group 41 (pp. 306-307) | html | pdf |
  - Layer group 42 (pp. 308-309) | html | pdf |
  - Layer group 43 (pp. 310-311) | html | pdf |
  - Layer group 44 (pp. 312-313) | html | pdf |
  - Layer group 45 (pp. 314-315) | html | pdf |
  - Layer group 46 (pp. 316-317) | html | pdf |
  - Layer group 47 (pp. 318-319) | html | pdf |
  - Layer group 48 (pp. 320-321) | html | pdf |
  - Layer group 49 (pp. 322-323) | html | pdf |
  - Layer group 50 (pp. 324-325) | html | pdf |
  - Layer group 51 (pp. 326-327) | html | pdf |
  - Layer group 52 (pp. 328-331) | html | pdf |
    - Layer group 52, origin choice 1 (pp. 328-329) | html | pdf |
    - Layer group 52, origin choice 2 (pp. 330-331) | html | pdf |
  - Layer group 53 (pp. 332-333) | html | pdf |
  - Layer group 54 (pp. 334-335) | html | pdf |
  - Layer group 55 (pp. 336-337) | html | pdf |
  - Layer group 56 (pp. 338-339) | html | pdf |
  - Layer group 57 (pp. 340-341) | html | pdf |
  - Layer group 58 (pp. 342-343) | html | pdf |
  - Layer group 59 (pp. 344-345) | html | pdf |
  - Layer group 60 (pp. 346-347) | html | pdf |
  - Layer group 61 (pp. 348-349) | html | pdf |
  - Layer group 62 (pp. 350-353) | html | pdf |
    - Layer group 62, origin choice 1 (pp. 350-351) | html | pdf |
    - Layer group 62, origin choice 2 (pp. 352-353) | html | pdf |
  - Layer group 63 (pp. 354-355) | html | pdf |
  - Layer group 64 (pp. 356-359) | html | pdf |
    - Layer group 64, origin choice 1 (pp. 356-357) | html | pdf |
    - Layer group 64, origin choice 2 (pp. 358-359) | html | pdf |
  - Layer group 65 (pp. 360-361) | html | pdf |
  - Layer group 66 (pp. 362-363) | html | pdf |
  - Layer group 67 (pp. 364-365) | html | pdf |
  - Layer group 68 (pp. 366-367) | html | pdf |
  - Layer group 69 (pp. 368-369) | html | pdf |
  - Layer group 70 (pp. 370-371) | html | pdf |
  - Layer group 71 (pp. 372-373) | html | pdf |
  - Layer group 72 (pp. 374-375) | html | pdf |
  - Layer group 73 (pp. 376-377) | html | pdf |
  - Layer group 74 (pp. 378-379) | html | pdf |
  - Layer group 75 (pp. 380-381) | html | pdf |
  - Layer group 76 (pp. 382-383) | html | pdf |
  - Layer group 77 (pp. 384-385) | html | pdf |
  - Layer group 78 (pp. 386-387) | html | pdf |
  - Layer group 79 (pp. 388-389) | html | pdf |
  - Layer group 80 (pp. 390-391) | html | pdf |

Part 5. Scanning of space groups
- 5.1. Symbols used in Parts 5 and 6 (p. 394) | html | pdf | chapter contents |
  V. Kopský and D. B. Litvin
- 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, CdI ₂ (p. 414) | html | pdf |
    - Fig. 5.2.5.2. The structure of cadmium chloride, CdCl ₂ (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 |

Part 6. The scanning tables
- 6.1. The scanning tables (pp. 421-564) | html | | chapter contents |
  - Scanning table for space group 1 (p. 422) | html | pdf |
  - Scanning table for space group 2 (p. 422) | html | pdf |
  - Scanning table for space group 3 (p. 423) | html | pdf |
  - Scanning table for space group 4 (p. 423) | html | pdf |
  - Scanning table for space group 5 (pp. 424-425) | html | pdf |
  - Scanning table for space group 6 (p. 425) | html | pdf |
  - Scanning table for space group 7 (pp. 426-427) | html | pdf |
  - Scanning table for space group 8 (pp. 427-428) | html | pdf |
  - Scanning table for space group 9 (pp. 429-434) | html | pdf |
  - Scanning table for space group 10 (p. 434) | html | pdf |
  - Scanning table for space group 11 (p. 435) | html | pdf |
  - Scanning table for space group 12 (pp. 435-436) | html | pdf |
  - Scanning table for space group 13 (pp. 437-438) | html | pdf |
  - Scanning table for space group 14 (pp. 438-439) | html | pdf |
  - Scanning table for space group 15 (pp. 440-445) | html | pdf |
  - Scanning table for space group 16 (p. 446) | html | pdf |
  - Scanning table for space group 17 (p. 446) | html | pdf |
  - Scanning table for space group 18 (p. 446) | html | pdf |
  - Scanning table for space group 19 (p. 447) | html | pdf |
  - Scanning table for space group 20 (p. 447) | html | pdf |
  - Scanning table for space group 21 (p. 447) | html | pdf |
  - Scanning table for space group 22 (p. 447) | html | pdf |
  - Scanning table for space group 23 (p. 448) | html | pdf |
  - Scanning table for space group 24 (p. 448) | html | pdf |
  - Scanning table for space group 25 (p. 448) | html | pdf |
  - Scanning table for space group 26 (p. 448) | html | pdf |
  - Scanning table for space group 27 (p. 449) | html | pdf |
  - Scanning table for space group 28 (p. 449) | html | pdf |
  - Scanning table for space group 29 (p. 449) | html | pdf |
  - Scanning table for space group 30 (p. 449) | html | pdf |
  - Scanning table for space group 31 (p. 450) | html | pdf |
  - Scanning table for space group 32 (p. 450) | html | pdf |
  - Scanning table for space group 33 (p. 450) | html | pdf |
  - Scanning table for space group 34 (p. 451) | html | pdf |
  - Scanning table for space group 35 (p. 451) | html | pdf |
  - Scanning table for space group 36 (p. 451) | html | pdf |
  - Scanning table for space group 37 (p. 452) | html | pdf |
  - Scanning table for space group 38 (p. 452) | html | pdf |
  - Scanning table for space group 39 (p. 452) | html | pdf |
  - Scanning table for space group 40 (p. 453) | html | pdf |
  - Scanning table for space group 41 (p. 453) | html | pdf |
  - Scanning table for space group 42 (p. 453) | html | pdf |
  - Scanning table for space group 43 (p. 454) | html | pdf |
  - Scanning table for space group 44 (p. 454) | html | pdf |
  - Scanning table for space group 45 (p. 454) | html | pdf |
  - Scanning table for space group 46 (p. 455) | html | pdf |
  - Scanning table for space group 47 (p. 455) | html | pdf |
  - Scanning table for space group 48 (p. 455) | html | pdf |
  - Scanning table for space group 49 (p. 456) | html | pdf |
  - Scanning table for space group 50 (p. 456) | html | pdf |
  - Scanning table for space group 51 (p. 457) | html | pdf |
  - Scanning table for space group 52 (p. 457) | html | pdf |
  - Scanning table for space group 53 (p. 457) | html | pdf |
  - Scanning table for space group 54 (p. 458) | html | pdf |
  - Scanning table for space group 55 (p. 458) | html | pdf |
  - Scanning table for space group 56 (p. 458) | html | pdf |
  - Scanning table for space group 57 (p. 459) | html | pdf |
  - Scanning table for space group 58 (p. 459) | html | pdf |
  - Scanning table for space group 59 (pp. 459-460) | html | pdf |
  - Scanning table for space group 60 (p. 460) | html | pdf |
  - Scanning table for space group 61 (p. 460) | html | pdf |
  - Scanning table for space group 62 (p. 461) | html | pdf |
  - Scanning table for space group 63 (p. 461) | html | pdf |
  - Scanning table for space group 64 (p. 461) | html | pdf |
  - Scanning table for space group 65 (p. 462) | html | pdf |
  - Scanning table for space group 66 (p. 462) | html | pdf |
  - Scanning table for space group 67 (p. 462) | html | pdf |
  - Scanning table for space group 68 (p. 463) | html | pdf |
  - Scanning table for space group 69 (p. 463) | html | pdf |
  - Scanning table for space group 70 (p. 464) | html | pdf |
  - Scanning table for space group 71 (p. 464) | html | pdf |
  - Scanning table for space group 72 (p. 465) | html | pdf |
  - Scanning table for space group 73 (p. 465) | html | pdf |
  - Scanning table for space group 74 (p. 465) | html | pdf |
  - Scanning table for space group 75 (p. 470) | html | pdf |
  - Scanning table for space group 76 (p. 470) | html | pdf |
  - Scanning table for space group 77 (p. 470) | html | pdf |
  - Scanning table for space group 78 (p. 470) | html | pdf |
  - Scanning table for space group 79 (p. 471) | html | pdf |
  - Scanning table for space group 80 (p. 471) | html | pdf |
  - Scanning table for space group 81 (p. 471) | html | pdf |
  - Scanning table for space group 82 (p. 471) | html | pdf |
  - Scanning table for space group 83 (p. 472) | html | pdf |
  - Scanning table for space group 84 (p. 472) | html | pdf |
  - Scanning table for space group 85 (p. 472) | html | pdf |
  - Scanning table for space group 86 (p. 473) | html | pdf |
  - Scanning table for space group 87 (p. 473) | html | pdf |
  - Scanning table for space group 88 (pp. 473-474) | html | pdf |
  - Scanning table for space group 89 (p. 475) | html | pdf |
  - Scanning table for space group 90 (p. 475) | html | pdf |
  - Scanning table for space group 91 (p. 476) | html | pdf |
  - Scanning table for space group 92 (p. 476) | html | pdf |
  - Scanning table for space group 93 (p. 477) | html | pdf |
  - Scanning table for space group 94 (p. 477) | html | pdf |
  - Scanning table for space group 95 (p. 478) | html | pdf |
  - Scanning table for space group 96 (p. 478) | html | pdf |
  - Scanning table for space group 97 (p. 479) | html | pdf |
  - Scanning table for space group 98 (p. 479) | html | pdf |
  - Scanning table for space group 99 (p. 480) | html | pdf |
  - Scanning table for space group 100 (p. 480) | html | pdf |
  - Scanning table for space group 101 (p. 480) | html | pdf |
  - Scanning table for space group 102 (p. 481) | html | pdf |
  - Scanning table for space group 103 (p. 481) | html | pdf |
  - Scanning table for space group 104 (p. 481) | html | pdf |
  - Scanning table for space group 105 (p. 482) | html | pdf |
  - Scanning table for space group 106 (p. 482) | html | pdf |
  - Scanning table for space group 107 (p. 482) | html | pdf |
  - Scanning table for space group 108 (p. 483) | html | pdf |
  - Scanning table for space group 109 (p. 483) | html | pdf |
  - Scanning table for space group 110 (p. 484) | html | pdf |
  - Scanning table for space group 111 (p. 484) | html | pdf |
  - Scanning table for space group 112 (p. 485) | html | pdf |
  - Scanning table for space group 113 (p. 485) | html | pdf |
  - Scanning table for space group 114 (p. 485) | html | pdf |
  - Scanning table for space group 115 (p. 486) | html | pdf |
  - Scanning table for space group 116 (p. 486) | html | pdf |
  - Scanning table for space group 117 (p. 486) | html | pdf |
  - Scanning table for space group 118 (p. 487) | html | pdf |
  - Scanning table for space group 119 (p. 487) | html | pdf |
  - Scanning table for space group 120 (p. 487) | html | pdf |
  - Scanning table for space group 121 (p. 488) | html | pdf |
  - Scanning table for space group 122 (p. 488) | html | pdf |
  - Scanning table for space group 123 (p. 489) | html | pdf |
  - Scanning table for space group 124 (p. 489) | html | pdf |
  - Scanning table for space group 125 (pp. 489-490) | html | pdf |
  - Scanning table for space group 126 (pp. 490-491) | html | pdf |
  - Scanning table for space group 127 (p. 491) | html | pdf |
  - Scanning table for space group 128 (p. 491) | html | pdf |
  - Scanning table for space group 129 (p. 492) | html | pdf |
  - Scanning table for space group 130 (pp. 492-493) | html | pdf |
  - Scanning table for space group 131 (p. 493) | html | pdf |
  - Scanning table for space group 132 (p. 493) | html | pdf |
  - Scanning table for space group 133 (p. 494) | html | pdf |
  - Scanning table for space group 134 (p. 495) | html | pdf |
  - Scanning table for space group 135 (p. 496) | html | pdf |
  - Scanning table for space group 136 (p. 496) | html | pdf |
  - Scanning table for space group 137 (pp. 496-497) | html | pdf |
  - Scanning table for space group 138 (pp. 497-498) | html | pdf |
  - Scanning table for space group 139 (p. 498) | html | pdf |
  - Scanning table for space group 140 (p. 499) | html | pdf |
  - Scanning table for space group 141 (pp. 499-500) | html | pdf |
  - Scanning table for space group 142 (pp. 501-502) | html | pdf |
  - Scanning table for space group 143 (p. 507) | html | pdf |
  - Scanning table for space group 144 (p. 507) | html | pdf |
  - Scanning table for space group 145 (p. 507) | html | pdf |
  - Scanning table for space group 146 (p. 507) | html | pdf |
  - Scanning table for space group 147 (p. 508) | html | pdf |
  - Scanning table for space group 148 (p. 508) | html | pdf |
  - Scanning table for space group 149 (p. 508) | html | pdf |
  - Scanning table for space group 150 (p. 509) | html | pdf |
  - Scanning table for space group 151 (p. 509) | html | pdf |
  - Scanning table for space group 152 (p. 510) | html | pdf |
  - Scanning table for space group 153 (p. 510) | html | pdf |
  - Scanning table for space group 154 (p. 511) | html | pdf |
  - Scanning table for space group 155 (p. 511) | html | pdf |
  - Scanning table for space group 156 (p. 512) | html | pdf |
  - Scanning table for space group 157 (p. 512) | html | pdf |
  - Scanning table for space group 158 (p. 512) | html | pdf |
  - Scanning table for space group 159 (p. 513) | html | pdf |
  - Scanning table for space group 160 (p. 513) | html | pdf |
  - Scanning table for space group 161 (p. 513) | html | pdf |
  - Scanning table for space group 162 (p. 514) | html | pdf |
  - Scanning table for space group 163 (p. 514) | html | pdf |
  - Scanning table for space group 164 (p. 514) | html | pdf |
  - Scanning table for space group 165 (p. 515) | html | pdf |
  - Scanning table for space group 166 (p. 515) | html | pdf |
  - Scanning table for space group 167 (p. 516) | html | pdf |
  - Scanning table for space group 168 (p. 518) | html | pdf |
  - Scanning table for space group 169 (p. 518) | html | pdf |
  - Scanning table for space group 170 (p. 518) | html | pdf |
  - Scanning table for space group 171 (p. 518) | html | pdf |
  - Scanning table for space group 172 (p. 519) | html | pdf |
  - Scanning table for space group 173 (p. 519) | html | pdf |
  - Scanning table for space group 174 (p. 519) | html | pdf |
  - Scanning table for space group 175 (p. 519) | html | pdf |
  - Scanning table for space group 176 (p. 520) | html | pdf |
  - Scanning table for space group 177 (p. 520) | html | pdf |
  - Scanning table for space group 178 (p. 521) | html | pdf |
  - Scanning table for space group 179 (p. 522) | html | pdf |
  - Scanning table for space group 180 (p. 523) | html | pdf |
  - Scanning table for space group 181 (p. 524) | html | pdf |
  - Scanning table for space group 182 (p. 524) | html | pdf |
  - Scanning table for space group 183 (p. 525) | html | pdf |
  - Scanning table for space group 184 (p. 525) | html | pdf |
  - Scanning table for space group 185 (p. 525) | html | pdf |
  - Scanning table for space group 186 (p. 526) | html | pdf |
  - Scanning table for space group 187 (p. 526) | html | pdf |
  - Scanning table for space group 188 (p. 526) | html | pdf |
  - Scanning table for space group 189 (p. 527) | html | pdf |
  - Scanning table for space group 190 (p. 527) | html | pdf |
  - Scanning table for space group 191 (p. 527) | html | pdf |
  - Scanning table for space group 192 (p. 528) | html | pdf |
  - Scanning table for space group 193 (p. 528) | html | pdf |
  - Scanning table for space group 194 (p. 528) | html | pdf |
  - Scanning table for space group 195 (p. 532) | html | pdf |
  - Scanning table for space group 196 (p. 532) | html | pdf |
  - Scanning table for space group 197 (p. 532) | html | pdf |
  - Scanning table for space group 198 (p. 533) | html | pdf |
  - Scanning table for space group 199 (p. 533) | html | pdf |
  - Scanning table for space group 200 (p. 533) | html | pdf |
  - Scanning table for space group 201 (p. 534) | html | pdf |
  - Scanning table for space group 202 (p. 534) | html | pdf |
  - Scanning table for space group 203 (p. 535) | html | pdf |
  - Scanning table for space group 204 (p. 536) | html | pdf |
  - Scanning table for space group 205 (p. 536) | html | pdf |
  - Scanning table for space group 206 (p. 536) | html | pdf |
  - Scanning table for space group 207 (p. 538) | html | pdf |
  - Scanning table for space group 208 (p. 539) | html | pdf |
  - Scanning table for space group 209 (p. 539) | html | pdf |
  - Scanning table for space group 210 (p. 540) | html | pdf |
  - Scanning table for space group 211 (p. 540) | html | pdf |
  - Scanning table for space group 212 (p. 541) | html | pdf |
  - Scanning table for space group 213 (p. 542) | html | pdf |
  - Scanning table for space group 214 (p. 543) | html | pdf |
  - Scanning table for space group 215 (p. 543) | html | pdf |
  - Scanning table for space group 216 (p. 544) | html | pdf |
  - Scanning table for space group 217 (p. 544) | html | pdf |
  - Scanning table for space group 218 (p. 545) | html | pdf |
  - Scanning table for space group 219 (p. 545) | html | pdf |
  - Scanning table for space group 220 (p. 546) | html | pdf |
  - Scanning table for space group 221 (p. 547) | html | pdf |
  - Scanning table for space group 222 (pp. 547-548) | html | pdf |
  - Scanning table for space group 223 (p. 549) | html | pdf |
  - Scanning table for space group 224 (pp. 549-550) | html | pdf |
  - Scanning table for space group 225 (p. 550) | html | pdf |
  - Scanning table for space group 226 (p. 551) | html | pdf |
  - Scanning table for space group 227 (pp. 551-552) | html | pdf |
  - Scanning table for space group 228 (pp. 553-554) | html | pdf |
  - Scanning table for space group 229 (p. 555) | html | pdf |
  - Scanning table for space group 230 (p. 556) | html | pdf |

Resources | html |

International Tables for Crystallography (2010). Vol. E, Contents.
doi: 10.1107/97809553602060000109

International Tables for CrystallographyVolume E: Subperiodic groups

Edited by V. Kopský and D. B. Litvin

Contents

International Tables for Crystallography
Volume E: Subperiodic groups