| Course title | |||||
| 固体物理 [Solid State Physics] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 3～4 | Semester | 1st | |
| Course type | 1st | Course code | 023254 | ||
| Instructor(s) | |||||
| 内藤 方夫, 山本 明保 [NAITO Michio, YAMAMOTO Akiyasu] | |||||
| Facility affiliation | Graduate School of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
| On the basis of the quantum mechanics, we will learn a method to describe the electronic states in solids (this method is called band theory). We will seamlessly move from the chemical bonds and electronic states of molecules consisting of a small number of atoms to the band theory and electronic states of macroscopic solids (consisting of an Avogadro number of atoms). This makes the connection between bonds and bands clear. The aim is to provide a basic understanding of the question of why there are metals, semiconductors and insulators. |
| Expected Learning |
|
The following achievement standards are set as minimums for solid state physics. (1) To be able to understand and handle the concept of reciprocal lattice space and k-space. (2) To be able to understand and explain the chemical bonding and electronic structure of molecules consisting of a small number of atoms. (3) To understand the free electron model of solids, and to understand and explain thermophysical properties and electrical conduction. (4) To understand the lattice vibrations of solids and to understand and explain their thermophysical properties. (5) Understand the energy bands and explain why materials are classified as metals, semiconductors and insulators. Please refer to the curriculum map in the course guide. |
| Course schedule |
|
1. Crystal Structure and Periodicity (Part 1) 1-1 What is lattice? 1-2 Basic Unit Cell 1-3 Crystal structure 2. k-space (Part 2) 2-1 What is k-space? 2-2 Inverse lattice 2-3 The Brillouin？zone 2-4 Determination of crystal structure 3. Quantum mechanics (3rd and 4th) 3-1 Basics of quantum mechanics 3-2 Harmonic oscillator 3-3 Hydrogen atom 3-4 Angular momentum and spin 3-5 Multi-electron systems 3-6 Perturbation theory 4. Bonding in solids (5th, 6th and 7th) 4-1 What is a bond? 4-2 Covalent bonding Molecular hydrogen, Hydrogen atom chain 4-3 Ionic bonds 4-4 Metallic bonds 4-5 Van der Waals bonds 4-6 Hydrogen bonds 5. Lattice vibrations (8th and 9th) 5-1 Lattice vibrations of one-dimensional lattices 5-2 Lattice vibrations in three-dimensional solids 5-3 Phonons 5-4 Specific heat of lattice 6. Free electron theory (10th and 11th) 6-1 Free electron model 6-2 Fermi statistics 6-3 Density of states and Fermi distribution 6-4 Electron specific heat 6-5 Pauli susceptibility 6-6 (Conduction) 7. Energy Bands (12th and 13th) 7-1 What are energy bands? 7-2 Bands of an empty lattice 7-3 Bands of almost free electrons 7-4 Pseudopotential method 7-5 Approximation for strongly bound electrons 8. Applications of band theory (14th and 15th sessions) 8-1 Classification of metals and insulators 8-2 Electronic states of semiconductors Band structure and holes in silicon and GaAs 8-3 Motion of electrons in k-space 8-4 Fermi surfaces of metals |
| Prerequisites |
| Required Text(s) and Materials |
|
Makoto Okazaki, Solid State Physics - For Engineering, (in Japanese), Shokabo |
| References |
|
Kittel, "Introduction to Solid State Physics" (Maruzen) Makoto Okazaki, "Quantum Mechanics of Matter" (Iwanami Shoten) |
| Assessment/Grading |
|
Problems, twice per term |
| Message from instructor(s) |
| Course keywords |
| Electronic structure of solids (band theory) |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Language Subject |
| Last update |
| 2/9/2021 11:45:51 AM |