International Tables for Crystallography, Volume E (2^nd Ed.) Subperiodic Groups IUCr Series. International Tables for Crystallography Series

International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.

Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching.

Volume E covers the standard nomenclature and representations for the 7 crystallographic frieze-group types, the 75 crystallographic rod-group types and the 80 crystallographic layer-group types. The information tabulated for these groups is identical in format and content to that given for the 230 space groups in Volume A, and is essential for the analysis of the structure and physical properties of crystalline materials that contain linear or planar substructures. In addition, scanning tables are given for each of the 230 space groups, designed for use in the analysis of interfaces.

This second edition of Volume E has been revised and includes additional information in the comparison tables of notations for the subperiodic group types to improve ease of use. The Seitz notation of each symmetry operation has also been included.

More information on the series can be found at: http://it.iucr.org

Preface.

PART 1 SUBPERIODIC GROUP TABLES: FRIEZE-GROUP AND LAYER-GROUP.

1.1 Symbols and Terms Used in Parts 1-4.

1.2 Guide to the Use of the Subperiodic Tables.

1.2.1 Classification of Subperiodic Groups.

1.2.2 Contents and Arrangement of the Tables.

1.2.3 Headline.

1.2.4 International (Hermann-Mauguin) Symbols for Subperiodic Groups.

1.2.5 Patterson Symmetry.

1.2.6 Subperiodic Group Diagrams.

1.2.7 Origin.

1.2.8 Asymmetric Unit.

1.2.9 Symmetry Operations.

1.2.10 Generators.

1.2.11 Positions.

1.2.12 Oriented Site-Symmetry Symbols.

1.2.13 Reflection Conditions.

1.2.14 Symmetry of Special Projections.

1.2.15 Maximal Subgroups and Minimal Supergroups.

1.2.16 Nomenclature.

1.2.17 Symbols.

PART 2 THE 7 FRIEZE GROUPS.

PART 3 THE 75 ROD GROUPS.

PART 4 THE 80 LAYER GROUPS.

PART 5 SCANNING OF SPACE GROUPS.

5.1 Symbols Used in Parts 5 and 6.

5.2 Guide to the Use of the Scanning Tables.

5.2.1 Introduction.

5.2.2 The Basic Concepts of the Scanning.

5.2.3 The Contents and Arrangement of the Scanning Tables.

5.2.4 Guidelines for Individual Systems.

5.2.5 Applications.

PART 6 THE SCANNING TABLES.

Author Index.

Subject Index.

Dr Vojtech Kopsky, Department of Physics, University of the South Pacific, Fiji, and Institute of Physics, The Academy of Sciences of the Czech Republic, Prague, Czech Republic.

Professor Daniel B. Litvin, Department of Physics, The Eberly College of Science, The Pennsylvania State University, USA.

Professor Litvin's research interests include: Mathematical crystallography, phase transitions, ferroic crystals, analysis of x-ray and neutron diffraction of magnetic and non-magnetic crystals, and symmetry of biological macromolecules as determined by x-ray analysis.