International
Tables for Crystallography Volume A Spacegroup symmetry Edited by M. I. Aroyo © International Union of Crystallography 2015 
International Tables for Crystallography (2015). Vol. A, ch. 1.5, p. 90

The zircon example of Section 1.5.1.1 illustrates how the atomic coordinates change under an originchoice transformation. Here, the case of the two originchoice descriptions of the same space group I4_{1}/amd (141) will be used to demonstrate how the rest of the crystallographic quantities are affected by an origin shift.
The two descriptions of I4_{1}/amd in the spacegroup tables of this volume are distinguished by the origin choices of the reference coordinate systems: the origin statement of the origin choice 1 setting indicates that its origin is taken at a point of symmetry, which is located at with respect to the origin of origin choice 2, taken at a centre (2/m). Conversely, the origin is taken at a centre (2/m) at from the origin . These origin descriptions in fact specify explicitly the originshift vector p necessary for the transformation between the two settings. For example, the shift vector listed for origin choice 2 expresses the origin with respect to , i.e. the corresponding transformation matrixtransforms the crystallographic data from the origin choice 1 setting to the origin choice 2 setting.