2026 (Current Year) Faculty Courses School of Materials and Chemical Technology Department of Chemical Science and Engineering Graduate major in Chemical Science and Engineering

Advanced electronic structures in solids II

Academic unit or major: Graduate major in Chemical Science and Engineering
Instructor(s): Kohei Yoshimatsu
Class Format: Lecture
Media-enhanced courses: -
Day of week/Period (Classrooms)
Class: -
Course Code: CAP.A468
Number of credits: 100
Course offered: 2026
Offered quarter: 4Q
Syllabus updated: Mar 5, 2026
Language: English

Syllabus

Course overview and goals

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.

Course description and aims

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

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 quiz will be given in each lecture.

Course schedule/Objectives

	Course schedule	Objectives
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	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 5	Band structure of graphene	Students can understand band structures of graphene, which is a typical two-dimensional material, based on the tight-binding approximation.
Class 6	Band structures of typical three-dimensional real solids	Students can explain band structures of typical three-dimensional real solids.
Class 7	Exercises and explanations	Students can increase their understanding of lecture contents through exercises and self-evaluate their level of achievement.

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)

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

Evaluation methods and criteria

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

Nothing special

Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).

E-mail: yoshimatsu[at]mct.isct.ac.jp
*Contact by e-mail is necessary.

Office hours

Weekdays (Advance notice required)