Chapter 5.1 Transformations of the coordinate system (unit-cell transformations)
First Online Edition (2006)
Part 5. Transformations in crystallography
Published Online: 1 JAN 2006
© International Union of Crystallography 2006
International Tables for Crystallography
How to Cite
Arnold, H. 2006. Transformations of the coordinate system (unit-cell transformations). International Tables for Crystallography. A:5:5.1:78–85.
- Published Online: 1 JAN 2006
Transformations of the coordinate system are useful when nonconventional descriptions of a crystal structure are considered, for instance in the study of relations between different structures, of phase transitions and of group–subgroup relations. Unit-cell transformations occur particularly frequently when different settings or cell choices of monoclinic, orthorhombic or rhombohedral space groups are to be compared or when ‘reduced cells’ are derived. In this chapter, matrix notation is used to describe a general transformation. Selected frequently occurring transformation matrices are tabulated and illustrated by diagrams.
- coordinate systems;
- unit-cell transformations;
- transformation matrices