2020 Advanced Metal Physics

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Academic unit or major
Graduate major in Energy Science and Engineering
Shi Ji  Nakamura Yoshio 
Class Format
Lecture    (ZOOM)
Media-enhanced courses
Day/Period(Room No.)
Tue7-8(Zoom)  Fri7-8(Zoom)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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Course description and aims

In this course, classical model and quantum mechanics model for free electron will be studied in order to understand the electron state in metals. And these theories are used to explain the nature of electrical properties of metals. In the second part, Langevin paramagnetism, molecular field theory, exchange interaction will be introduced to understand ferromagnetism and magnetic properties of metals. Practical applications and latest research results in the related areas will also be introduced.

Student learning outcomes

The objective of "Advanced Metal Physics" is for the first year graduate students in materials science and related areas to understand the relationship between the electronic structure and physical properties of metals systematically.


Free electron theory, DC conductivity, Fermi Energy, Density of states, Fermi-Dirac statistics, Magnetism, Magnetisation, Magnetic Domain, Magnetic anisotropy, Application of magnetic materials

Competencies that will be developed

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

Class flow

At the beginning, the main points of the previous lecture will be summarised. Then the main points of the day's lecture will be explained and discussed in detail. At the end, students are asked to solve problems using the knowledge they have learnt at the day's class.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction to Metallic Bond Understand the relationship between metallic bond and the characteristics of metals.
Class 2 Drude Free Electron Model Understand the classical free electron model.
Class 3 DC Conductivity, Frequency -dependent Conductivity  Using Drude's Model to explain Ohm's law and electrical conductivity of metals.
Class 4 Sommerfeld Free Electron Model From some problems, the limitation of Drude's model is explained, and the free electron model with fundamental quantum mechanics applied is introduced.
Class 5 Fermi Enenrgy, Fermi Surface, Density of State Introduce and discuss some fundamental concepts.
Class 6 Fermi-Dirac Statistics, Thermal Properties of Free Electron Gas Discuss Fermi-Dirac distribution function, and understand the thermal properties of free electrons using the distribution function.
Class 7 DC-Conductivity (With F-D Statistics), Hall Effect  Explain the DC conductivity using the free electron model with F-D statistics applied.
Class 8 Practice 1 Mid-term Exam, to check the level of understanding.
Class 9 Application of Magnetic Materials The milestones in the development of magnetic materials and the applications of magnetic materials are introduced.
Class 10 Definitions and Units Explain the basic concepts and units in magnetism.
Class 11 Diamagnetism and Paramagnetism Understand the origin of atomic magnetic moment, and their reaction to magnetic field. Introducing Langevin paramagnetism.
Class 12 Ferromagnetism Explain ferromagnetism using molecular field theory.
Class 13 Magnetic Thin Films The fabrication and characteristics of magnetic thin films is introduced as an allocation of learnt knowledge.
Class 14 Practice 2 Discussing and solving problems in order to deepen the understanding.

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.


Textbook specified by the instructor and handouts

Reference books, course materials, etc.

Gerald Burns 『Solid State Physics』 Academic Press,
B.D. Cullity, C.D. Graham 『Introduction to Magnetic Materials』 Wiley,
Robert C. O'Handley 『Modern Magnetic Materials』 Wiley

Assessment criteria and methods

Quizzes and exercises (20%), Midterm exam (40%), Final exam (40%)

Related courses

  • None

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

Fundamental knowledge of crystal structures

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