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Volume A treats crystallographic symmetry in direct or physical space.
The first five parts of the volume contain introductory material: lists of symbols and terms; a guide to the use of the space-group tables; the determination of space groups; synoptic tables of space-group symbols; and unit-cell (coordinate) transformations. These are followed by the plane-group and space-group tables.
The rest of the volume is at a much higher theoretical level than Parts 1 to 5; it has many features of an advanced textbook of crystallography. Parts 8 to 15 deal with the following aspects of symmetry theory: the mathematical approach to space groups; crystal lattices; point groups and crystal classes; symbols for symmetry operations; symbols for space groups; isomorphic subgroups of space groups; lattice complexes; and normalizers of space groups.
Volume A is designed not only for professional crystallographers, but also for chemists, physicists, mineralogists, biologists and material scientists who employ crystallographic methods and who are concerned with the structure and the properties of crystalline materials.
The fifth edition of Volume A has been reviewed by P. Paufler [Acta Cryst. (2004). A60, 641-642]. The first edition was reviewed by K. M. Stadnicka, B. J. Oleksyn and K. Z. Sokalski [Acta Cryst. (1987). A43, 156-159].
Auflage
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Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
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Höhe: 311 mm
Breite: 235 mm
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ISBN-13
978-0-7923-6590-7 (9780792365907)
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Schweitzer Klassifikation
PART 1. SYMBOLS AND TERMS USED IN THIS VOLUME:
Printed symbols for crystallographic items: Vectors, coefficients and coordinates. -Directions and planes.- Reciprocal space.- Functions.- Spaces.- Motions and matrices.- Groups.- Printed symbols for conventional centring types: Printed symbols for the conventional centring types of one-, two- and three-dimensional cells.- Notes on centred cells.- Printed symbols for symmetry elements: Printed symbols for symmetry elements and for the corresponding symmetry operations in one, two and three - dimensions.- Notes on symmetry elements and symmetry operations.- Graphical symbols for symmetry elements in one, two and three dimensions: Symmetry planes normal to the plane of projection (three dimensions) and symmetry lines in the plane of the figure (two dimensions).- Symmetry planes parallel to the plane of projection.- Symmetry planes inclined to the plane of projection (in cubic space groups of classes 43m and m3m only) - Notes graphical symbols of symmetry planes.- Symmetry axes normal to the plane of projection and symmetry points in the plane of the figure.- Symmetry axes parallel to the plane of projection.- Symmetry axes inclined to the plane of projection (in cubic space groups only).- References.
PART 2: GUIDE TO THE USE OF THE SPACE-GROUP TABLES:
Classification and coordinate systems of space groups: Introduction.- Space-group classification.- Conventional coordinate systems and cells.- Contents and arrangement of the tables: General layout.- Space groups with more than one description.- Headline.- International (Hermann-Mauguin) symbols for plane groups and space groups (cf. Chapter 12.2).- Patterson symmetry.- Space-group diagrams.- Origin.- Asymmetric unit.- Symmetry operations.- Generators.- Positions.- Oriented Site-Symmetry Symbols.- Reflection Conditions.- Symmetry of Special Projections.- Maximal Subgroups and Minimal Supergroups.- Monoclinic Space groups.- Crystallographic Groups in one dimension.- References.
PART 3. DETERMINATION OF SPACE GROUP:
Space-group determination and diffraction symbols: Introduction.- Laue class and cell.- Reflection conditions and diffraction symbol.- Deduction of possible space groups.- Diffraction symbols and possible space groups.- Space-group determination by additional methods.- References.
PART 5. TRANSFORMATIONS IN CRYSTALLOGRAPHY:
Transformations of the coordinate system (unit-cell transformations): Introduction.- Matrix notation.- General transformation.- Transformations of symmetry operations (motions): Transformations.- Invariants.- Example: low cristobalite and high cristobalite.- References.
PART 6. THE 17 PLANE GROUPS (TWO-DIMENSIONAL SPACE GROUPS)
PART 7. EXAMPLES FROM THE 230 SPACE GROUPS
