2025 (Current Year) Faculty Courses School of Materials and Chemical Technology Undergraduate major in Materials Science and Engineering
Fundamentals of Crystallography
- Academic unit or major
- Undergraduate major in Materials Science and Engineering
- Instructor(s)
- Takashi Harumoto / Toshiyuki Fujii
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Class
- -
- Course Code
- MAT.M201
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 3Q
- Syllabus updated
- Mar 19, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course focuses on the fundamentals of crystallography. We will start from the indexing of directions and planes in lattices, the crystal systems, and the Bravais lattice. This course also covers the principles and applications of stereographic projections and their application to the cubic system.
Through lectures and exercise problems, the course enables students to understand the basic concepts of crystallography.
Course description and aims
At the end of this course, students will be able to:
1) Understand the concept of lattice and the general rules of lattice directions and planes.
2) Acquire the ability to handle stereographic projections of the cubic system.
Keywords
lattice, crystal structure, crystal systems, Miller index, interplanar distance, coordination number, packing efficiency, zone, reciprocal lattice, stenographic projection, Wulff net
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Attendance is taken in every class.
Towards the end of class, students are given exercise problems related to what is taught on that day to solve.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Lattice and crystal structure | Learn crystal structures in materials |
| Class 2 | Lattice lines and planes, Miller index | Learn indices of directions and planes in a lattice |
| Class 3 | Directions and planes of hexagonal lattice | Learn indices of directions and planes in the hexagonal structure |
| Class 4 | Interplanar distance, interplanar angle, interatomic distance | Learn interplanar distance, interplanar angle, and interatomic distance |
| Class 5 | Coordination number, packing efficiency | Learn the packing efficiency of the cubic structures |
| Class 6 | Zones, zone axis and the zone law | Learn the relationship between zone and zone axis |
| Class 7 | Achievement evaluation and general practice (1) | Understand the basic things of lattice and crystal structure |
| Class 8 | Crystal symmetry | Learn the crystal symmetry of the cubic structure |
| Class 9 | The stereographic projection | Learn the method of the stereographic projection |
| Class 10 | The Wulff net | Draw the Wulff net for the stereographic projection |
| Class 11 | Trace analysis | Learn the trace analysis using the stereographic projection |
| Class 12 | Standard stereographic projection of cubic crystals | Draw the standard stereographic projection of the cubic crystal |
| Class 13 | Application of stereographic projection (1) | Draw the stereographic projection of the cubic crystal |
| Class 14 | Application of stereographic projection (2) | Learn the applications of the stereographic projection |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Course materials are provided during class.
Reference books, course materials, etc.
C. S. Barrett，"Structure of Metals, 2nd edition", McGraw-Hill.
A. Kelly, G. W. Groves and P. Kidd，"Crystallography and Crystal Defects, Revised Edition", John Wiley & Sons, Ltd,.
Evaluation methods and criteria
Students’ course scores are based on exercise problems (20%) and midterm exams (30%) and final exams (50%).
Related courses
- MAT.M401 ： Applied Diffraction Crystallography in Metals and Alloys
- MAT.M303 ： Lattice Defects and Dislocation
Prerequisites
No prerequisites.