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Course title Introduction to Symmetry and Space group
Term 前期 1st Half
Credit(s) 2
The main day The main period
Program/Department 44 Materials Structure Science
Lecturers Massimo NESPOLO
成績評価区分 Grading Scale A,B,C,Dの4段階評価 Four-grade evaluation
レベル Level Level 2
力量 Competence 学際性 Broad perspective

Instructor
Full name
* IGARASHI　NORIYUKI

Outline Professor Nespolo Massimo's famous lecture "Crystal symmetry and group theory".
Learn through lectures and practical training.
Learning objectives This course aims at providing a solid background in symmetry and group theory to students and scientists working on crystalline materials. Exercises proposed during the whole course are integral part of the course. Evening sessions are proposed for discussion, practicals, solution to the exercises, questions & answers.
Grading policy Oral exam
Location KEK Tsukuba Campus
Language Japanese (Japanese course), English (English course)
Textbooks and references Distributed in advance and during class as appropriate
Lecture Plan 1. Abstract algebra and the notion of group; Introduction to crystallographic symmetry and lattices; Morphological symmetry
2. 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
3. Metric tensor and applications; Matrix representation of symmetry operations; Change of axial settings and alternative settings of space groups
4. Normalizers of point and space groups; Chirality; Wyckoff positions and Wyckoff sets; Factor groups and symmorphic groups; Crystallographic orbits; Reciprocal lattice and systematic absences
5. Group-subgroup relations; Structure-substructure relations and applications to displacive phase transitions
Explanatory note on above URL https://pfwww.kek.jp/trainingcourse/13th/engcourse/index.html
Others Prerequisite: Participants are expected to be familiar with basic matrix algebra (product of matrices, calculation of determinant and trace).
Keyword Materials Structure Science, Crystals, Crystal Structure, Symmetry and Group Theory
Notes for students of other programs https://pfwww.kek.jp/trainingcourse/13th/engcourse/index.html
Contact for Course Inquiries The training course office:
Ms. Yoshimi Takahashi, KEK (Secretary)
Email: tyoshimi@post.kek.jp
Related URL http://pfwww.kek.jp/trainingcourse/index.html