Event Name Training course on symmetry and group theory
Start Date 15th Aug 2014
End Date 17th Aug 2014
Duration 3 days
Description In the framework of the International Year of Crystallography, the IUCr Commission on Mathematical and Theoretical Crystallography organizes a training course on "symmetry and group theory" at Tsukuba, Japan, on 15 to 17 August 2014.


The participants are expected to know basic matrix algebra (how to multiply matrices and vectors, how calculate determinant and trace of a matrix), fundamental electromagnetism (waves, diffraction) and basic chemistry.


The training course will span three full days, from 15 to 17 August, 2014. An optional pre-school day is organized on August 14 for those needing to revise general concepts about matrix algebra and abstract algebra (general introduction to group theory).

Thursday, 14 August

Optional session on matrix and abstract algebra (2 p.m. onwards)

Friday, 15 August (9 a.m. - 7 p.m.)

Introduction to symmetry and periodicity
Lattices and crystallographic symmetry in 2 and 3 dimensions
Choice of the unit cell
Crystallographic point groups
Morphological symmetry
Stereographic projection, with exercises

Saturday, 16 August (9 a.m. - 7 p.m.)

Matrix representation of point group operations
Screw axes and glide planes
Introduction to space groups
Graphical construction of space groups, with exercises
Metric tensor and applications

Saturday, 16 August (9 a.m. - 7 p.m.)

Reciprocal lattice and systematic absences
Matrix representation of space group operations
Group-subgroup relations
Structure-substructure relations and applications to displacive phase transitions

Coffee break will be served at 10:30 a.m. and 4 p.m. Lunch break will be from 12:30 p.m. to 2 p.m. The evening of August 15 a welcome reception will be organized.


The official language of the training course is Japanese. No simultaneous interpretation will been provided.


The training course will be held at the KEK main research building, meeting room No. 1.


Prof. Massimo Nespolo, Université de Lorraine, France (on behalf of MaThCryst)

Local Organizing Committee

Dr. Maki Okube, Tokyo Institute of Technology
Prof. Takashi Kamiyama, KEK
Prof. Noriyuki Igarashi, KEK

Registration and accommodation

Online registration and information about the accommodation is available at the local website

See the photo gallery

Location Tsukuba
Contact Maki Okube
URL http://www.crystallography.fr/mathcryst/Tsukuba2014.php
Category schools and workshops