ECM-23 23rd European


August 4 to 6, 2006 - Leuven | Belgium

Satellite Conference on
Mathematical and Theoretical Crystallography

IUCr MaThCryst
Organized by the
Commission on Mathematical and Theoretical Crystallography
of the International Union of Crystallography (IUCr-MaThCryst)
In cooperation with the
Commission on Inorganic and Mineral Structures
of the International Union of Crystallography (IUCr-CIMS)
and with the
Special Interest Group No. 5 "Mineral and Inorganic Crystallography"
of the European Crystallographic Association

4-6 August 2006 - Katholieke Universiteit Leuven

Acrobat Reader Donwload PDF brochure (92 Kb)

Dates and venue

The MaThCryst Satellite Conference of the 23rd European Crystallographic Meeting ECM-23 took place from Friday 4 August to Sunday 6 August 2006, at the Katholieke Universiteit Leuven, the oldest Catholic university in the world still in existence and founded in 1425.
The meeting site in and around the Falcon college is situated in the middle of the historical city center of Leuven and at walking distance of most accomodation.

The Conference was held in the René Magritte room, at the ground floor of the Oude Valk ("Old Falcon") building, Tiensestraat 41.


The satellite conference was organised as a workshop-school consisting of thematic session by invited speakers, and poster presentations by the participants, and was addressed to young scientists, as well as to all those who wish to deepen their formation in the topics treated here. Each session consisted of a 1-hour lecture and 45 minutes exercises / examples.

The collected abstracts are available for download (PDF file, 771 Kb). We are gradually uploading didactic material from the invited lectures.

The schedule of the satellite was as follows:

The last day, August 6th, the afternoon sessions ended 30 minutes earlier to allow ECM-23 participants moving to the Opening Ceremony, that started at 18:00

Friday, 4th August 2006

Magnetic symmetry

Morning sessions

Daniel B. Litvin, Pennsylvania State University - "Magnetic Subperiodic Groups and Magnetic Space Groups".

Afternoon sessions

Hans Grimmer, Villigen - "Black-white symmetry, Ordered magnetics, Anisotropy of magnetic properties".

Lecture text: Black-white symmetry, Ordered magnetics, Anisotropy of magnetic properties (PDF file, 9.9 Mb).

Saturday, 5th August 2006

Graph theory: fundamentals and applications to crystallographic and crystallochemical problems.

Morning sessions

Jean Guillaume Eon, Rio de Janeiro - "The vector method"
  1. Fundamentals of graph theory
  2. Crystallographic nets and their quotient graphs
  3. Topological invariants of nets
  4. Embeddings of nets in Euclidian spaces

Lecture slides (PowerPoint presentation, 1.8 Mb).

Afternoon sessions

Stephen Hyde, Canberra - "EPINET: Crystal nets from 2D hyperbolic geometry".
  1. 2D orbifolds (symmetries on the euclidean, elliptic and hyperbolic planes)
  2. tilings of 2D planes
  3. triply periodic minimal surfaces (TPMS)
  4. reticulations of TPMS: 3D networks.

Lecture slides: From hyperbolic 2-space to euclidean 3-space (PDF file, 2.9 Mb) - text will follow.

Sunday, 6th August 2006

Modular aspects of crystal structures

Morning sessions

Emil Makovicky, Copenhagen - "Modular categories and their principal features".

Afternoon sessions

Giovanni Ferraris, Torino - Symmetry constraints and modularity: tools to model inorganic crystal structures

  1. Constraints from symmetry
  2. Polysomatic series
  3. Constraints from lattice dimensions and chemistry (recurrent modules).

Lecture text: Symmetry constraints and modularity: tools to model inorganic crystal structures (PDF file, 1.8 Mb).
Slides: Symmetry constraints and modularity: tools to model inorganic crystal structures (PDF file, 2.1 Mb)


The official language of the conference was English. No simultaneous interpretation was provided.

List of registered participants

Name Country email
Wiqar HussainShah PAKISTAN
Michel H.J. Koch GERMANY
Igor Baburin RUSSIA
Anna Vologzhanina RUSSIA
Xiaoming Lu P.R.CHINA
Shelomo I Ben-Abraham ISRAEL
Santiago Garcia-Granda SPAIN
Ömer Çelik TURKEY
Massimo Nespolo FRANCE
Gurgen Khachaturyan ARMENIA
Vahan Kocharayn ARMENIA
Giovanni Ferraris ITALY
Nina L. Smirnova RUSSIA
Levon Levonyan ARMENIA
Matthias Bochtler POLAND
Daniel Litvin USA
Tatiana Gorelik GERMANY
Philippe Kocian SWITZERLAND
Elena Boldyreva RUSSIA
Pavel Plachinda RUSSIA
Sophia Petrova RUSSIA
Ludwik Dobrzynski POLAND
Mustafa Baris Tercan TURKEY
Marek Pasciak POLAND
Mois Ilia Aroyo SPAIN
Hans Wondratschek GERMANY
Wolfgang Neumann GERMANY
Robert Karakhanyan ARMENIA
Henia Mousser ALGERIA
Abdelhamid Mousser ALGERIA
Saida Latreche ALGERIA
Ivan Blanco García BELGIUM
Leonid Dubrovinsky GERMANY
Davide Proserpio ITALY
Erwin Lijnen BELGIUM
Stephen Hyde AUSTRALIA
Jong Youll Park KOREA
Hidejiro Miki JAPAN
Giovanni Zanzotto ITALY
Hanne Nuss GERMANY
Jürgen Nuss GERMANY
Bernd Souvignier THE NETHERLANDS
Hans K. Grimmer Switzerland
Jean-Guillaume Eon Brazil
Emil Makovicky Denmark


Inquiries can be sent to the (No HTML mail - only plain text please!).

The Organizers of the Leuven 2006 Satellite Conference on Mathematical and Theoretical Crystallography observed the basic policy of non-discrimination and affirms the right and freedom of scientists to associate in international scientific activity without regard to such factors as citizenship, religion, creed, political stance, ethnic origin, race, colour, language, age or sex, in accordance with the Statutes of the International Council for Science. At this conference no barriers existed which would have prevented the participation of bona fide scientists.

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