2016 Fundamentals of Crystallography in Metallurgical Engineering A

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Academic unit or major
Metallurgical Engineering
Nakamura Yoshio 
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Course description and aims

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.

Student learning outcomes

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.


lattice, crystal structure, crystal systems, Miller index, interplanar distance, coordination number, packing efficiency, zone axis

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Lectures and exercises
Handouts for lectures will be prepared.

Course schedule/Required learning

  Course schedule Required learning
Class 1 lattice and structure submitted exercise will be backed on the nextlecture
Class 2 direction and plane, miller index
Class 3 direction and plane for hexagonal crutal
Class 4 zone axis
Class 5 nearest neighbor atom
Class 6 crystal plane and trace
Class 7 stacking sequence


Materials Science and Engineering An Introduction by W.D. Callister,Jr

Reference books, course materials, etc.

Handouts are available

Assessment criteria and methods

exercise and final test

Related courses

  • MAT.M303 : Lattice Defects and Dislocation
  • MAT.M401 : Applied Diffraction Crystallography in Metals and Alloys

Prerequisites (i.e., required knowledge, skills, courses, etc.)


Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

nakamura.y.ab[at]m.titech.ac.jp, ex.3144

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