Commission on International Tables

Recently published volumes

Volume H: Powder diffraction (First Edition)

Editors: C. J. Gilmore, J. A. Kaduk and H. Schenk

The first edition of Volume H was published in July 2019 (ISBN 978-1-118-41628-0) and may be ordered from Wiley.

Powder diffraction is the mostly widely used crystallographic method with applications spanning all aspects of structural science. This new volume of International Tables covers all aspects of the technique with over 50 chapters written by experts in the field.

The volume contains seven parts:

  • Part 1 provides an introduction to the principles of powder diffraction.
  • Part 2 covers instrumentation for laboratory X-ray studies, synchrotron, neutron and electron diffraction, 2D diffraction, and special environments (temperature, pressure, magnetic fields, reaction cells). Sample preparation is also covered.
  • Part 3 describes the different methodologies used in powder diffraction.
  • Part 4 covers structure determination and validation.
  • Part 5 discusses defects, texture and microstructure: stress and strain, grain size and thin films.
  • Part 6 provides a useful review of available software.
  • Part 7 describes applications to many areas of industrial and academic importance including: macromolecules, zeolites, mining, ceramics, cement, forensic science, archaeology and pharmaceuticals. Both the theory and applications are discussed. 
Volume H is the key reference for all powder diffractionists from beginners to advanced practitioners. It has been designed to be a practical volume, without sacrificing rigour. Many examples of the method are discussed in detail and in several cases the data used are available to download.


Volume A: Space-group symmetry (Sixth Edition)

Editor: M. I. Aroyo

The sixth edition of Volume A was published in December 2016 (ISBN 978-0-470-97423-0) and may be ordered from Wiley. It comprise three parts.

Part 1. Introduction to space-group symmetry

Part 1 of the volume includes chapters on groups, crystallographic and space-group symmetry, descriptions of space groups, coordinate-system transformations and methods of space-group determination. The final chapter provides a useful introduction to topics treated in more depth in Volumes A1 and E of the series. The chapters in this part have been written with teaching in mind.

Part 2. Tables of plane and space groups

Part 2 of the volume presents the diagrams and tables of plane- and space-group data. The layout of the tables of data, the symbols used in the diagrams and the classification of the space groups are explained in a useful guide.

Part 3. Advanced topics on space-group symmetry

Part 3 treats more advanced topics on space-group symmetry, and covers crystal lattices, point groups and crystal classes, space-group symbols and their use, lattice complexes, normalizers of space groups, and magnetic subperiodic groups and magnetic space groups.

There are eight new chapters in this sixth edition of Volume A, and five chapters have been revised. The layout of the space-group tables has been simplified as the sub- and supergroup data are now available in Volume A1, and there are new general-position diagrams for the cubic space groups. Additional diagrams showing tilted, perspective views of some of the more complex cubic space groups are also provided.


Volume D: Physical properties of crystals (Second Edition)

Editor: A. Authier

The second edition of Volume D was published in September 2014 (ISBN 978-1-118-76229-5) and may be ordered from Wiley.

This edition of Volume D features a new chapter (Chapter 1.11) on the tensorial properties of local crystal susceptibilities, by V. E. Dmitrienko, A. Kirfel and E. N. Ovchinnikova. This chapter describes the symmetry and physical phenomena that allow and restrict forbidden reflections excited at radiation energies close to the X-ray absorption edges of atoms. Reflections caused by magnetic scattering are also discussed.

In Part 1, Chapters 1.1 (an introduction to the properties of tensors), 1.2 (on representations of crystallographic groups), 1.3 (elastic properties), 1.5 (magnetic properties) and 1.10 (on tensors in quasiperiodic structures) have been revised. In particular, Chapter 1.5 features a new section on multiferroics by M. Kenzelmann.

Chapter 3.3 on twinning of crystals has been updated and new sections on the effect of twinning in reciprocal space and on the relations between twinning and domain structure have been added. Chapter 3.4 on domain structures has also been updated.

All known errors in the first edition have also been corrected.


Volume F: Crystallography of biological macromolecules (Second Edition)

Editors: E. Arnold, D. M. Himmel and M. G. Rossmann

The second edition of Volume F was published in January 2012 (ISBN 978-0-470-66078-2) and may be ordered from Wiley. It contains nineteen new articles and many articles from the first edition have been revised. The new articles cover topics such as standard definitions for quality indicators, expression of membrane proteins, protein engineering, high-throughput crystallography, imaging of whole cells, radiation damage, merohedral twinning, low resolution ab initio phasing, robotic crystal loading and halogen interactions in biological crystal structures. There are also new articles on relevant software, including software for electron microscopy. These enhancements will ensure that Volume F continues to be a key reference for macromolecular crystallographers and structural biologists.

Volume E: Subperiodic groups (Second Edition)

Editors: V. Kopský and D. B. Litvin

The second edition of Volume E was published in 2010 (ISBN 978-0-470-68672-0) and may be ordered from Wiley. Typographical errors have been corrected and additional information has been included in the multi-page, multi-column comparison tables of notations for the seven crystallographic frieze-group types (two-dimensional groups with one-dimensional translations), the 75 crystallographic rod-group types (three-dimensional groups with one-dimensional translations) and the 80 crystallographic layer-group types (three-dimensional groups with two-dimensional translations) to improve ease of use. In the symmetry-operations section for each group table, the Seitz notation of each symmetry operation has been added below the corresponding international notation.

Volume A1: Symmetry relations between space groups (Second Edition)

Editors: H. Wondratschek and U. Müller

The second edition of Volume A1 was published in 2010 (ISBN 978-0-470-66079-9) and may be ordered from Wiley. All errors detected in the first edition have been corrected and local improvements have been introduced.

Part 1 deals with group-theoretical aspects of space groups, group-subgroup relations and the underlying mathematical background. In the new edition, the mathematical background has been extended to the theory of the minimal supergroups of the space groups. A new section has been added which gives instructions on how to build trees of group-subgroup relations for crystal structures that can be derived from a high-symmetry structure type (aristotype). Trees of this kind are useful to show crystallographic relations between crystal-structure types and between the polymorphic forms of a compound. A new section on the Bilbao Crystallographic Server has also been added with descriptions of the databases and computer programs that are related to the subjects of the volume.

Part 2 contains complete listings of all maximal subgroups for each space group, including their general positions or their generators, their conjugacy relations and transformations to conventional settings. The new edition contains a detailed discussion of the listed supergroup data, and a procedure for the complete derivation of the minimal supergroups from the listed (complete) data on maximal subgroups has been added.

Part 3 lists the relations between the Wyckoff positions for every maximal subgroup of every space group, including the cell transformations and coordinate transformations. In both Parts 2 and 3, the infinitely many isomorphic subgroups have been included in a parametrized form.

New volumes and editions in preparation

Teaching edition of International Tables for Crystallography: Crystallographic symmetry (Sixth Edition)

Editor: M. I. Aroyo

The main purpose of the new sixth edition of what was previously known as the Brief Teaching Edition of Volume A will be to provide an introduction to the space-group data in Volumes A and A1. This edition is designed more specifically for people new to the field of crystallographic symmetry and will also include introductions to Vol. E of International Tables, to magnetic space groups and to the Symmetry Database.

Volume C: Mathematical, physical and chemical tables (Fourth Edition)

Editor: Richard Welberry

Many of the 30+ articles commissioned for this very major revision have been received and some are now ready for publication. It is planned to start publishing the new articles online when accepted and technically edited, in advance of production of the complete volume.



Volume I: X-ray absorption spectroscopy and related techniques (new volume)

Editors: Chris Chantler, Federico Boscherini and Bruce Bunker

Nearly all of the articles we have commissioned have now been received, and a large proportion of these have been reviewed and accepted. The quality of the articles is excellent, with much significant new material not available elsewhere. Accepted and technically edited articles are now being published online as early view chapters in advance of production of the complete volume.

These pages are maintained by the Commission Last updated: 11 Feb 2021