Aperiodic Crystals

Ted Janssen studied mathematics and physics at the University of Utrecht. He later moved to the University of Nijmegen, from which he graduated with a PhD in 1968. He spent a year at the ETH in Zurich and returned to Nijmegen as an Associate Professor. He became a full professor at the University of Utrecht and, in 1994, he moved again to Nijmegen where he spent the rest of his career. He has been invited as guest Professor in Leuwen, Dijon, Lausanne, Paris, Orsay, Nagoya and Sendai. He has oriented his research activities to the fields of group theory in physics, crystallography and properties of aperiodic crystals, friction theory and nonlinear dynamics. In 1998, he received the Amino Prize from the Swedish Academy of Science along with P.M. de Wolff and A. Janner. In 2014, along with A. Janner, he received the Ewald Prize awarded by the International Union of Crystallography (IUCr).Gervais Chapuis graduated in physical chemistry at the Swiss Federal School of Technology in Zurich (ETHZ) in 1971. He later obtained his PhD in crystallography at the same institution. He continued his research in the field of resonant scattering for three years at the Lawrence Berkeley Laboratory in California. He then returned to Switzerland, to the Institute of Crystallography of the Physics Department at the University of Lausanne. In 1991, he became full professor and in 2003 moved to the Swiss Federal School of Technology in Lausanne (EPFL). Chapuis has published over 250 research papers on structures and properties of aperiodic crystals and is the author of several textbooks in the field of crystallography. As an active member of the IUCr, he is editor and co-editor of a number of scientific journals and media, and the chair and member of various committees.Marc de Boissieu obtained his PhD in Material Sciences in 1989 at Écoles des Mines in Nancy. He then joined the CNRS as a researcher in the laboratory LTPCM, now Science et Ingénierie des Matériaux et Procédés in Grenoble. He has oriented his research in the field of quasicrystals and complex intermetallic compounds, studying their atomic structure, defects and lattice dynamics using x-ray and neutron scattering techniques, associated with atomic scale modelling and simulations. His work is conducted through international collaboration with several groups in Europe, Japan and USA. Since 2009, he has been the director of the European network C-MAC. As an active member of the IUCr, he has been chair of the commission on aperiodic crystals and is co-editor of Acta B.

Review from previous edition ... very timely ... including the big picture and how to explain it.

• 1: Introduction 2: Description and Symmetry of Aperiodic Crystals 3: Tilings: Mathematical Models for Quasicrystals 4: Structure 5: Physical Properties 6: Origin and Stability 7: Other Topics A: Space Groups in Arbitrary Dimensions B: Exercises: Solutions