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2021 Faculty Courses School of Science Department of Physics Graduate major in Physics

Crystal Physics

Academic unit or major
Graduate major in Physics
Instructor(s)
Takuya Satoh
Class Format
Lecture
Media-enhanced courses
-
Day of week/Period
(Classrooms)
1-2 Tue / 1-2 Fri
Class
-
Course Code
PHY.C441
Number of credits
200
Course offered
2021
Offered quarter
1Q
Syllabus updated
Jul 10, 2025
Language
English

Syllabus

Course overview and goals

In crystal physics, crystals are considered as an anisotropic medium from a macroscopic point of view. The concept of tensors is important for discussing the physical properties of crystals. After giving an overview of crystal physics, we discuss transformations and second-order tensors. Next, we consider the anisotropy of paramagnetic and diamagnetic susceptibility and electric polarization as the characteristics of the equilibrium state of crystals. The point group of crystals and symmetry operations are also explained.

Course description and aims

By the end of this course, students will be able to:
1) Understand that the basic structure of materials are periodic arrangements of atoms.
2) Explain that the symmetry and macroscopic properties of materials are strongly interconnected.

Keywords

Crystals, lattice, point group, symmetry, tensors

Competencies

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

Class flow

Lectures will be given in board format. Questions and comments are submitted as a questionnaire at the end of each lecture.

Course schedule/Objectives

Course schedule Objectives
Class 1 The groundwork of crystal physics Understand the groundwork of crystal physics
Class 2 The groundwork of crystal physics Understand the groundwork of crystal physics
Class 3 The symmetry of crystals Understand the symmetry of crystals
Class 4 The effect of crystal symmetry on crystal properties Understand the effect of crystal symmetry on crystal properties
Class 5 Transformations and second-rank tensors Understand transformations and second-rank tensors
Class 6 Transformations and second-rank tensors Understand transformations and second-rank tensors
Class 7 Paramagnetic and diamagnetic susceptibility Understand paramagnetic and diamagnetic susceptibility
Class 8 Paramagnetic and diamagnetic susceptibility Understand paramagnetic and diamagnetic susceptibility
Class 9 Electric Polarization Understand electric Polarization
Class 10 Electric Polarization Understand electric Polarization
Class 11 The stress tensor Understand the stress tensor
Class 12 The stress tensor Understand the stress tensor
Class 13 The strain tensor and thermal expansion Understand the strain tensor and thermal expansion
Class 14 The strain tensor and thermal expansion Understand the strain tensor and thermal expansion

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)

J. F. Nye “Physical Properties of Crystals: Their Representation by Tensors and Matrices” (Oxford University Press)

Reference books, course materials, etc.

We Use lecture materials as needed.

Evaluation methods and criteria

Evaluation will be based on report submission.

Related courses

  • PHY.C340 : Basic Solid State Physics
  • PHY.C341 : Condensed Matter Physics I
  • PHY.C342 : Condensed Matter Physics II

Prerequisites

Students must have basic knowledge of electromagnetism and solid state physics.