2022 Magnetic Materials Science

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Academic unit or major
Undergraduate major in Materials Science and Engineering
Yamamoto Takafumi  Matsushita Nobuhiro 
Class Format
Lecture    (Livestream)
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(S7-202)  Fri3-4(S7-202)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

This course focuses on the fundamentals of magnetism, and covers the application of magnetic materials in electronic devices.
Magnetic materials consist of magnetic moments and the relative orientation of the magnetic moments leads to a variety of magnetic ordering. This course begins with a brief introduction of electrodynamics and quantum mechanics, and introduce the origin of a magnetic moment. The course enables students to understand and acquire the fundamental approach to describing magnetic interactions between magnetic moments and the behaviors of magnetic moments in a crystal. Topics also include magnetic anisotropy, magnetization processes, magnetic domain structures, and magnetic resonance, providing a basis for applying magnetic materials to electronic devices.

Student learning outcomes

By the end of this course, students will be able to:
1) Understand the concepts of magnetic moments, angular momentum, exchange interaction, etc. based on fundamentals of electrodynamics and quantum mechanics.
2) Understand the macroscopic magnetic properties of materials, including paramagnetism and ferromagnetism.
3) Understand magnetic phenomena in ferromagnetic materials (magnetic anisotropy, magnetization process, magnetic domain structure, magnetic resonance).
4) Understand the fundamental approaches to applying magnetic materials to device applications.


Electrodynamics, quantum mechanics, Schrödinger equation, magnetic moment, angular momentum, crystalline field, multiplet, Curie’s law, exchange interaction, Curie-Weiss law, Pauli paramagnetism, Slater-Pauling curve, magnetic anisotropy, magnetization process, magnetic domain structure, magnetic resonance, magnetotransport, applications of magnetism

Competencies that will be developed

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

Class flow

To get a good understanding of the course contents, exercise problems are provided.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Electrodynamics and magnetic moment Derive the relationship between magnetic moment and ring current. Derive the equation representing the energy of a magnetic moment in a magnetic field.
Class 2 Quantum mechanics and Schrödinger equation Understand the solution of Schrödinger equation in spherical symmetry.
Class 3 Angular momentum and construction of total angular momentum Derive angular momentum in quantum mechanics.
Class 4 Crystalline field and quench of orbital angular momentum Understand an energy shift of 3d states in octahedral crystalline symmetry and the mechanism of quench of orbital angular momentum
Class 5 Angular momentum of an atom and multiplets Construct the total angular momentum of 2 p electrons.
Class 6 Free ion and Curie's law Derive the Curie's law of a paramagnet.
Class 7 Exchange interaction and Curie-Weiss law Derive the Curie-Weiss law based on exchange interaction.
Class 8 Band theory and Pauli paramagnetism Derivation of Pauli paramagnetic susceptibility
Class 9 Ferromagnetism in metals and Slater-Pauling curve Derivation of magnetic moment of an alloy
Class 10 Molecular magneic field theory of ferromagnetic, antiferromagnetic and ferrimagnetic material Expressions of molecular magnetic field theory
Class 11 Magnetic anisotropy Derivation of expression of uniaxial magnetic anisotropy in a polar coordinate system
Class 12 Magnetic domain structure and magnetic wall Magnetic domain wall width and a domain wall energy
Class 13 Magnetization process and magnetic loss Rotational magnetization, Analyses of magnetic losses
Class 14 Magnetic resonance, applications of magnetic material Magnetization dynamics, Electron spin resonance, Ferro magnetic resonance, Magnetic device applications(GMR, Tunneling magnetic resistance)

Out-of-Class Study Time (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.



Reference books, course materials, etc.

Keizo Ohta. Fundamentals of Magnetics. Kyoritsu-shuppan; ISBN 4320002008, 9784320002005.
Soshin Chikazumi. Physics of Ferromagnetism. Oxford University Press; ISBN 0-19-851776-9.

Assessment criteria and methods

Student's knowledge of fundamentals of magnetism and their ability to apply them to magnetic devices will be assessed. Evaluated by reports and a final exam.

Related courses

  • MAT.A203 : Statistical Mechanics (Ceramics course)
  • MAT.C203 : Statistical Mechanics (Ceramics course)
  • MAT.C306 : Dielectric Materials Science

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

Students must have successfully completed a class of electrodynamics or have equivalent knowledge.

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