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International Union of Crystallography
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Training course on symmetry and group theory
Sokendai Interdisciplinary Lecture
Sponsors: The Crystallographic Society of Japan, Institute of Materials Structure Science of the High Energy Accelerator Organization
Co-sponsors: Sokendai (the Graduate University for Advanced Studies)
Supporters: The Japanese Society for Neutron Science, The Japanese Society for Synchrotron Radiation Research,
The Chemical Society of Japan, The Japan Society of Applied Physics,
The Iron and Stell Institute of Japan, The Physical Society of Japan,
The Japanese Society of Microscopy, The Japan Institute of Metals and Materials,
The Japan Association of Mineralogical Sciences, The Japan Society for Analytical Chemistry
Aim and target
The training course is normally held biannually (March and August) and aims at providing a solid background in symmetry and group theory to students and scientists working on crystalline materials. It is divided in two branches:
- Basic course: open to everybody, no pre-requisite apart from basic matrix algebra:
- Advanced course: open to former participants of the basic course.
Both courses usually span five full days. Exercises proposed during the whole course are integral part of the course: participants are requested to actively take part in solving the proposed exercises. Evening sessions are proposed for discussion, practicals, solution to the exercises, questions & answers. Didactic material is distributed before and during the lectures and also made available in electronic form.
Program
Basic course
- Abstract algebra and the notion of group
- Introduction to crystallographic symmetry and lattices
- Morphological symmetry
- Stereographic projection, with exercises
- Crystallographic point groups and geometric crystal classes
- Symmetry elements with a translational component (screw axes and glide planes)
- Introduction to space groups: basic notions and the Hermann-Mauguin symbolism
- Graphical construction of space groups
- Practicals on the graphical construction of space groups
- Metric tensor and applications
- Matrix representation of symmetry operations
- Change of axial settings and alternative settings of space groups
- Normalizers of point and space groups
- Chirality
- Wyckoff positions, Wyckoff sets
- Factor groups, symmorphic groups
- Crystallographic orbits
- Reciprocal lattice and systematic absences
- Group-subgroup relations
- Structure-substructure relations and applications to displacive phase transitions
Advanced course
The program of the advanced course is tuned to fit the interest of the participants and is annoucend before the registration opens.
Schedule of the courses
Basic course
- First basic course: Tsukuba, 14-17 August, 2014 - photo gallery
- Second basic course: Tsukuba, 9-13 March, 2015 - photo gallery
- Third basic course: Osaka, 3-7 August, 2015 - photo gallery
- Fourth basic course: Tsukuba, 7-11 March, 2016 - photo gallery
- Fifth basic course: Tsukuba, 6-10 March, 2017 - photo gallery
- Sixth basic course: Tsukuba, 31 July - 4 August, 2017 - photo gallery
- Seventh basic course: Tsukuba, 6-10 August, 2018 - photo gallery
- Eighth basic course: Tsukuba, 22-26 July 2019 (English), 29 July - 2 August, 2019 (Japanese) - specail session: Mount Koya, 5-9 August, 2019 - photo gallery
- Ninth basic course: Tsukuba, 13-17 September 2021
- Tenth basic course: Tsukuba, 22-26 August 2022
- Eleventh basic course: Tsukuba, 10-14 July 2023 (English course), 24-28 July 2023 (Japanese course)
- Forthcoming Twelfth basic course: Tsukuba, 22-26 July 2024 (English course), 29 July - 2 August 2024 (Japanese course)
Advanced course
- First advanced course: Tsukuba, 1-5 August, 2016 - photo gallery
- Second advanced course: 18-21 July 2023
Language
The official language of the training course is Japanese. No simultaneous interpretation is provided.
Sokendai Interdisciplinary Lecture
From the fifth basic course, this training course has become part of the education provided by Sokendai, the Graduate University for Advanced Studies: University students can get credits through this university for attending the training course.
Lecture notes
The content of the lectures of the basic course is now partly being published in a series of didactic articles in the Journal of the Crystallographic Society of Japan. The articles published so far are available from the J-Stage webiste at the following addresses:
- Hermann-Mauguin symbols
- Classification of crystallographic groups
- Miller indices and reflection conditions
- Subgroups of point and space groups
- Structure relations and construction of structural models
Venue
The training course is normally held at KEK, Tsukuba campus. Occasionally, alternative venues are considered, depending on the availability of the facilities and local organizers. The third basic was held at the Institute for Protein Research, Osaka University.
Lecturer
Prof. Massimo Nespolo, Université de Lorraine, France (on behalf of MaThCryst)
Local Organizing Committee in Tsukuba
Prof. Takashi Kamiyama, KEK (Chair)
Prof. Noriyuki Igarashi, KEK
Ms. Yoshimi Takahashi, KEK (Secretary)
Acknowledgements
The organizers of the training course are deeply indebted to Dr. Maki Okube (SuperOx Japan LLC and Tokyo Institute of Technology), initiator for the course, for her strong involvement and continuous support.
Further information
Details are available at the Japanese web site.
The Organizers of the trainng course observe the basic policy of non-discrimination and affirm 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 course no barriers exist which would prevent the participation of bona fide scientists.
