International Tables for Crystallography, Volume A1: Symmetry Relations Between Space Groups

Herausgeber: Wondratschek, H.; Muller, Ulrich

• Gebundenes Buch

Produktbeschreibung

International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. Volume A1 presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups. It is an extension of and a supplement to Volume A, Space-group symmetry, in which only basic data for sub- and supergroups are provided. Volume A1 consists of three parts. Part 1 presents an introduction to the theory of space groups at various levels and with many examples. It includes a chapter on the mathematical theory of subgroups. Part 2 gives for each plane group and space group a complete listing of all maximal subgroups and minimal supergroups. The treatment includes the generators of each subgroup as well as any necessary changes of the coordinate system. Maximal isomorphic subgroups are given in parameterized form as infinite series because of the infinite number for each group. Graphs that illustrate the group-subgroup relations are also presented. Part 3 lists the relations between the Wyckoff positions of every space group and its subgroups. Again, the infinite number of maximal isomorphic subgroups of each space group are covered by parameterized series. Volume A1 is a valuable resource for scientists engaged in crystal-structure determination, crystal physics or crystal chemistry. It is essential for those interested in phase transitions, the systematic compilation of crystal structures, twinning phenomena and related fields of crystallographic research.

Produktdetails

• International Tables for Cryst
• Verlag: Springer Nature Singapore
• Artikelnr. des Verlages: 12204786
• 2., Neu Bearb
• Seitenzahl: 768
• Erscheinungstermin: August 2008
• Englisch
• Abmessung: 155mm
• ISBN-13: 9781402082092
• ISBN-10: 1402082096
• Artikelnr.: 23542345

Inhaltsangabe

PART 1: SPACE GROUPS AND THEIR SUBGROUPS
1.1. Historical introduction (M. I. Aroyo, U. Müller and H. Wondratschek)
1.2. General introduction to the subgroups of space groups (H.
Wondratschek)
1.3. Computer checking of the subgroup data (F. Gähler)
1.4. The mathematical background of the subgroup tables (G. Nebe)
1.5. Remarks on Wyckoff positions (U. Müller)
1.6. Trees of group-subgroup relations (U. Müller) 1.7. The Bilbao
Crystallographic Server (M. I. Aroyo, J. M. Perez-Mato, C. Capillas and H.
Wondratschek)
PART 2: MAXIMAL SUBGROUPS OF THE PLANE GROUPS AND SPACE GROUPS
2.1. Guide to the subgroup tables and graphs (H. Wondratschek and M. I.
Aroyo)
2.2. Tables of maximal subgroups of the plane groups (Y. Billiet, M. I.
Aroyo and H. Wondratschek)
2.3. Tables of maximal subgroups of the space groups (Y. Billiet, M. I.
Aroyo and H. Wondratschek)
2.4. Graphs for translationengleiche subgroups (V. Gramlich and H.
Wondratschek)
2.5. Graphs for klassengleiche subgroups (V. Gramlich and H. Wondratschek)
PART 3: RELATIONS BETWEEN THE WYCKOFF POSITIONS
3.1. Guide to the tables (U. Müller)
3.2. Tables of the relations of the Wyckoff positions (U. Müller)
Appendix. Differences in the presentation of Parts 2 and 3 (U. Müller and
H. Wondratschek)
References
Subject index