*Acta
Cryst.* (1997). A**53**,
252

## Symmetry of crystals: Introduction
to International Tables for
Crystallography Vol. A

### By
Theo
Hahn and
Hans
Wondratschek

**Pp. 144.
Sofia: Heron Press, 1994**

Price (paper) DM25. ISBN
954-580-007-0

This book is intended
as an introduction to the space-group symmetries
of crystals and their compilation in *International
Tables for
Crystallography* Volume A. It has its origin in lecture
notes for a series
of Summer Schools on the Symmetry of Crystals, presented by the authors
since 1988, most recently in Bulgaria in 1994.

The text begins with a
review of group theory (Chapter 1) and the
representation of crystallographic symmetry operations by matrices
(Chapter 2). Group theory is then used to describe space-group types
(Chapter 3), changes in coordinate systems (Chapter 4),
group-subgroup
relations (Chapter 5), generators of space groups (Chapter 6),
space-group
projections (Chapter 7) and systematic absences and reflection
conditions (Chapter 8).

The set of 16 varied
problems provided is a useful feature of the
work. Included are problems using group theory and matrix algebra
applied to general position and symmetry diagrams, coordinate
transformations and phase transitions. Also included are examples of
interpretation of a reciprocal lattice, a set of precession photographs
and line splitting in a powder pattern. The solutions to all problems
are complete and clearly presented.

The style of the text is
similar to that of the five introductory
chapters in Volume A itself. Readers who desire a more complete
group-theory basis to amplify those chapters will find this new book
very useful. However, those who wish simply to use the Tables, but not
necessarily master the underlying theory, are unlikely to find much
additional help in this Introduction to Volume A over and above that
already provided by Professor Hahn in his *Brief
Teaching Edition* of
Volume A.

**Margaret E.
Kastner**

*
Department of
Chemistry*

Bucknell University

Lewisburg

PA 17837

USA

**Copyright © 1997 International Union of Crystallography**

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