Emeritus Professor Mike Glazer

Abstract:

A special issue of Acta Crystallographica Section B reports the great progress made recently in the determination, reporting, and archiving of magnetic structures, of which there are now more than 2000. The infrastructure needed to support the field is now in place. The special issue also highlights new science made possible by these developments.

Abstract:

It is pointed out that many authors are unaware that the particular choice of unit-cell origin determines the irreducible representations to which octahedral tilts in perovskites belong. Furthermore, a recommendation is made that the preferred option is with the origin at the B-cation site rather than that of the A site.

Abstract:

The description of crystal structures is given starting with some fundamental notions of crystal symmetry. The topics of lattices and space groups are briefly introduced and how these can be used with unit cell contents to describe the crystal structure. This leads to crystallographic databases where information on crystal structures is stored and can be searched. A brief discussion on refinement of diffraction information is given, together with the resulting geometric parameters.

Abstract:

The notion of periodicity in crystals is examined and how this can be varied in practice. In particular, the article discusses first of all the concept of superstructures, in which some sort of alternating motif occurs thus changing the repeat distance in a lattice. Crystals of this type are often incorrectly called in the literature superlattices: first of all they cannot be called lattices at all as they consist of atoms (a lattice must only consist of points). In any case such a superstructure is formed from a sublattice rather than a superlattice. In addition, some crystals do not have normal periodicity within a three-dimensional space, and are known as aperiodic crystals. Despite being aperiodic, they are still ordered. In mathematical terms they can by described with respect to a higher-dimension space and then projected back onto three dimensions. This generalizes our notion of what is meant by a crystal.