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. This chapter is also available as HTML from the International Tables Online site hosted by the IUCr.
CITATION STYLE
Arnold, H. (2006). Transformations of the coordinate system (unit-cell transformations). In International Tables for Crystallography (pp. 78–85). International Union of Crystallography. https://doi.org/10.1107/97809553602060000510
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