EuroSchool 2013







2nd International School on Aperiodic Crystals

at the Laboratory of Crystallography, University of Bayreuth, Germany

Bayreuth, 7 – 12 April 2013







The "2nd International School on Aperiodic Crystals" took place at the University of Bayreuth in Bayreuth, Germany, from 7 through 12 April 2013. The School has been organized by the Commission on Aperiodic Crystals of the International Union of Cystallography (IUCr), with the support from the French National Center for Scientific Research (CNRS, "formation permanente"), the European C-MAC and the German Crystallographic Association (DGK). Local organisation was by Marc de Boissieu (Grenoble), Andreas Schönleber (Bayreuth) and Sander van Smaalen (Bayreuth). The University of Bayreuth provided several seminar rooms for lectures, tutorials and the poster session. The objectives of the School were to provide an overview of aperiodic order in crystals, of the basics of the superspace description of both modulated structures and quasicrystals, of physical properties and crystal chemical understanding of aperiodic crystals, as well as a working knowledge of structural analysis of aperiodic crystals.


The "2nd International School on Aperiodic Crystals" was attended by 50 participants, including 10 invited lecturers, 33 young scientists (mainly PhD students) and 7 senior scientists. The participants came from 14 countries: Belgium (1), Canada (1), Czech Republic (3), France (7), Germany (19), Israel (1), Japan (1), Poland (4), Slovakia (4), Slovenia (2), Sweden (2), Switzerland (1), United Kingdom (3), U.S.A. (1). The participation of five PhD students (from Sweden, France, 2´Poland and Slovenia, respectively) has been made possible through a Young Scientist Award by the IUCr of monetary value of USD 600 each. Lecturers were Gervais Chapuis (Lausanne, Switzerland), Marc de Boissieu (Grenoble, France), Michal Dusek (Prague, Czech Republic), Joke Hadermann (Antwerp, Belgium), Ron Lifshitz (Tel Aviv, Israel), Olivier Pérez (Caen, France), Vaclav Petricek (Prague, Czech Republic), Andreas Schönleber (Bayreuth, Germany), Hiroyuki Takakura (Sapporo, Japan) and Sander van Smaalen (Bayreuth, Germany).


Lectures were organized in slots of 90 minutes including a 5 minute break. Each lecture was followed by a 30 minute break with coffee/tee and snacks. The first day (Monday) was devoted to a refresher about diffraction and structure determination (Schönleber), to a general introduction to aperiodic crystals (van Smaalen), and to diffraction (Hadermann) and structural analysis by t-plots (Chapuis) of modulated crystals. The second day (Tuesday) saw an introduction to quasicrystals (de Boissieu) and structures of icosahedral quasicrystals (Takakura) as well as an introduction to the use of the software JANA2006 (Petricek). Wednesday was again devoted to modulated crystals with methods of structure solution (Dusek) and superspace symmetry (van Smaalen). Lectures on Thursday were about symmetry without superspace (Lifshitz), phasons (de Boissieu) and crystal chemistry of modulated structures (Pérez). The morning of the last day (Friday) was used for lectures on applications, including molecular crystals (Schönleber), phase transitions (Chapuis) and electron microscopy of materials (Hadermann).


An important part of the School was a practical course that allowed the participants to obtain a working knowledge of structural analysis. Three afternoons have been dedicated to these tutorials, which were offered in two parallel sessions on "Structural analysis of modulated crystals with JANA2006" and "Structures of quasicrystals", respectively. The first tutorial was devoted to structural analysis of modulated crystals with aid of the JANA2006 software. The second tutorial was dedicated to the study of quasicrystals, including approximants, analysis of the symmetry and crystal structures. Both tutorials attracted about half of the participants.


The School started on Sunday late afternoon with registration and a Welcome party in the evening, on which drinks and light food were offered. On Wednesday evening the participants presented and discussed their own research projects in a poster session with food and beverages. On Thursday evening the Conference dinner took place and on Friday afternoon, a visit commenced to the plant of Bosch company in Bamberg, where spark plugs are manufactured, followed by a guided tour through the cathedral and city of Bamberg, a UNESCO World Heritage site.


Participants came from universities and research institutes including departments of solid state physics, inorganic chemistry, general chemistry, materials science and crystallography. This list shows that interest in aperiodic crystals persists in all areas of research on the solid state.


Marc de Boissieu, Andreas Schönleber and Sander van Smaalen.





Last Update

15 February 2013





The program is available here.




Printed Materials:


Upon registration on Sunday, 7 April 2013, you will receive a binder containing the following documents:

-         Program of School

-         Printed material for the tutorials

-         Name tag

-         Vouchers for lunch at the Mensa.

-         Confirmation of registration and confirmation of payment.

-         Stationary

-         Bus timetable for Bayreuth

-         Map of Bayreuth

-         Information brochure about Bayreuth

-         Map of Bamberg (for the excursion)




How to find us (on campus)


On the university campus, signs marked APERIODIC will direct you to the site of the school.








Aperiodic crystals are crystalline materials without translational symmetry. They encompass all kinds of materials, including minerals, organic and inorganic compounds, the elements, alloys, ferroelectrics, and proteins. The three types of aperiodic order are incommensurately modulated structures, incommensurate composite crystals and quasicrystals.


The second school on aperiodic crystals aims at introducing crystal structures of aperiodic crystals. A series of lectures by experts in the field of aperiodic crystals will present the basic features of the superspace approach to structures and symmetry as well as to the use of these methods in structural analysis, understanding physical properties and a crystal-chemical interpretation of aperiodic crystals.


Separate tutorials will be offered, where participants can practice the various steps of structural analysis of incommensurately modulated structures or quasicrystals.


Target Audience


The school will be of interest for students and scientists working in the fields of chemistry, material science, solid state physics or crystallography. The second school on aperiodic crystals provides an overview of aperiodic order in crystalline materials. The tutorials offer the possibility to acquire a working knowledge of the techniques of structural analysis.


Financial Support for Young Scientists

Applications by young scientists for the Young Scientist Award regarding financial support for attending the 2nd International School on Aperiodic Crystals cannot be accepted any more. Rules and procedures can be found here.

The number of participants will be limited to 60.









2nd International School on Aperiodic Crystals

© S. van Smaalen, University of Bayreuth
Date: 23 January 2014