Complexity in Cubic Crystals

Cubic crystals have been studied in detail ever since the advent of X-ray crystallography 101 years ago when Lawrence Bragg first solved the cubic structure of zinc blende. Despite this long history they still hold a fascination with many topical materials such as C60, PbTe-based thermoelectrics, ZrW2O8-related negative thermal expansion materials and several ice phases, all crystallising into cubic structures. This talk will briefly outline the early heritage of (cubic) crystallography and will then highlight the key role of complexity on the physical properties of cubic crystals. In this context I define complexity as a local breaking of the overall crystal symmetry, rather than the creation of ever larger unit cells, and therefore accurate understanding cannot be gained solely through analysis of Bragg diffraction. Instead I will describe methods for quantifying this complexity via models refined by reverse Monte Carlo analysis of total scattering data and using a range of different examples, some taken from the list given above.