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- Academic unit or major
- Graduate major in Chemical Science and Engineering
- Instructor(s)
- Yoshimatsu Kohei
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- -
- Group
- -
- Course number
- CAP.A468
- Credits
- 1
- Academic year
- 2024
- Offered quarter
- 4Q
- Syllabus updated
- 2024/3/14
- Lecture notes updated
- -
- Language used
- English
- Access Index
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Course description and aims
A solid composed of Avogadro's number of atoms exhibits an electronic state that reflects the periodicity of its crystal lattice. In this lecture, students can understand the formation of bands by LCAO approximations and electronic structures of typical inorganic solids starting from the molecular orbital method, which is familiar to students in chemistry field.
Student learning outcomes
Students can understand the periodicity of crystal lattices based on wave vectors and explain the dispersion relationship between wave vectors and energy. In addition, students can explain electronic structures of solids based on their crystal structures, constituent elements, and valence.
Keywords
Molecular orbital, Bloch's theorem, Free electron model, LCAO approximation, Crystal-field splitting
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
The class will be conducted in the form of a combination of slides distributed in advance and written materials on the board. The lectures will be given on the assumption that the students have thoroughly prepared for the lectures. A 15-minute quiz will be given at the end of each lecture.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Bloch's theorem | Students can derive Bloch's theorem from a one-dimensional atomic chain. |
| Class 2 | One-dimensional band structures based on linear combination of atomic orbitals method | Students can draw band structures of simple one-dimensional atomic chain using the LCAO approximation. |
| Class 3 | Nearly free electron model | Students can explain the behavior of free electrons in a very weak periodic potential. |
| Class 4 | Relaxation time approximation and electronic conduction | Students can understand the scattering of conduction carriers using relaxation time approximation and explain electrical conduction in metals. |
| Class 5 | Two-dimensional band structures based on nearly free electron model and tight-binding approximations | Students can draw band structures of two-dimensional lattices based on the nearly free electron model and tight-binding approximation. |
| Class 6 | Band structures in real solids | Students can explain band structures of typical solids. |
| Class 7 | Exercises and explanations | Students can increase their understanding of lecture contents through exercises and self-evaluate their level of achievement. |
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(s)
P A Cox, "The Electronic Structure and Chemistry of Solids" Oxford Science Publications, ISBN-13: 978-0198552048
Reference books, course materials, etc.
藤森 淳 (著)、「強相関物質の基礎―原子、分子から固体へ」、内田老鶴圃、ISBN-13 : 978-4753656240
Charles Kittel (著), "Introduction to Solid State Physics", Wiley, ISBN-13: 978-1119454168
Assessment criteria and methods
Quiz for each session (20 points) + final exam (80 points)
Related courses
- CAP.N306 ： Computational Materials Chemistry
- CAP.N304 ： Inorganic Solid Chemistry
- CAP.A467 ： Advanced electronic structures in solids I
- CAP.A461 ： Advanced Solid State Chemistry I
- CAP.A462 ： Advanced Solid State Chemistry II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Nothing special
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
TEL: 03-5734-2127, E-mail: yoshimatsu.k.aa[at]m.titech.ac.jp
*I recommend contact by e-mail.
Office hours
Weekdays (Advance notice required)
