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2025 (Current Year) Faculty Courses School of Materials and Chemical Technology Undergraduate major in Materials Science and Engineering

Fundamentals of Computational Materials Science

Academic unit or major
Undergraduate major in Materials Science and Engineering
Instructor(s)
Akira Yamaguchi / Toshio Kamiya / Takuya Hoshina / /
Class Format
Lecture (Face-to-face)
Media-enhanced courses
-
Day of week/Period
(Classrooms)
5-6 Tue (S7-201、情報ネットワーク演習室1,2) / 5-6 Fri (S7-201、情報ネットワーク演習室1,2)
Class
-
Course Code
MAT.C207
Number of credits
200
Course offered
2025
Offered quarter
4Q
Syllabus updated
Mar 19, 2025
Language
Japanese

Syllabus

Course overview and goals

This course provides the fundamental knowledge on the computational material science. In the early stage, students learn how to calculate molecular structures and electronic structures by quantum chemistry program and understand the chemical bonding. In the middle stage, the fundamental principles of regression analyses and the differences among those methods are explained. To demonstrate the regression analysis, data-analyses software equipped with Graphical User Interface (GUI) is used for dataset of ceramic materials and their properties. In the final stage, the students experience programing language using python and generative AI, which are widely used in materials science, by making simple programs. Latest research topics of computational science-promoted material design are also introduced.

Course description and aims

This lecture aims to learn the following knowledge on the quantum chemistry and computational science for understanding the ceramics materials and their properties.
• Learn about the fundamentals of quantum calculation and practical procedures.
• Learn about the meaning of the electric structure from practical calculations on various molecules and their analyses.
• Understand the potential and usefulness of the quantum calculation.
• Learn about the fundamental principles of regression analyses and the differences among those methods.
• Learn about the role and importance of data processing and parameter setting.
• Learn about programing language and use of generative AI.
• Understand the importance of computational science for materials design.

Keywords

Quantum chemistry calculation, chemical bond, machine learning, regression analysis

Competencies

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

Class flow

The course is divided into 3 parts. In each lecture, some exercises are given, and the students carry out and submit them to the lecturer.
In the early stage, basic knowledge on the chemical bonds is provided. The students are requested to use quantum chemistry calculation software to calculate structure of molecules within lecture time.
In the middle stage, fundamentals on regression analyses are explained. The students use data-analyses software to demonstrate regression analyses for a dataset of ceramics material and their properties.
In the final stage, basic knowledge on generic programing language is provided.

Course schedule/Objectives

Course schedule Objectives
Class 1

Introduction to quantum chemistry calculation

Schrodinger equation, atomic orbital, eigen value (energy), N-bodies problem, Hartree-Fock approximation, Linear combination of atomic orbital coefficient

Class 2

Calculation of atom and molecule by ab-initio method

molecular orbital, basic function, Slater function and Gauss function, hybridization, lone pair electrons

Class 3

Coordination of atoms in materials: Geometry optimization

geometry optimization, initial geometry, vibrational motion, vibration energy, vibration mode, infrared absorption, Raman scattering

Class 4

Vibration mode, atomic charge, dipole moment

Mulliken charge density, dipole moment

Class 5

Comparison between calculation and observation

orbital energy, work function, photoelectron spectroscopy

Class 6

Regression analysis: linear regression

liner regression, least squares method, covariance, coefficient of determination

Class 7

Regression analysis: multi-variable linear regression

multiple regression analysis, least absolute shrinkage and selection operator regression, Ridge regression

Class 8

Regression analysis: non linear

nonparametric regression, support vector regression

Class 9

Experiencing Programming – Python and Generative AI

Setting up the development environment
Python programming exercises:
Creating a polynomial least squares program
Developing programs using generative AI

Class 10

Programming Exercises I: Linear Least Squares Method

Python syntax
Theory of linear least squares method
Python programming exercises:
Developing a linear least squares program for general functions

Class 11

Programming Exercises II: Nonlinear Least Squares Method and Matrix Calculations

Python programming exercises:
Developing a nonlinear least squares method
Matrix calculations
Machine learning regression

Class 12

Special lecture ①

Lecture about recent research promoted by materials informatics①

Class 13

Special lecture ②

Lecture about recent research promoted by materials informatics②

Class 14

Special lecture ③

Lecture about recent research promoted by materials informatics③

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)

The documents distributed in lecture.
The lecture materials including python programs are available from the following web.
http://d2mate.mdxes.iir.isct.ac.jp/D2MatE/D2MatE_programs.html?page=fcms

Reference books, course materials, etc.

Unspecified

Evaluation methods and criteria

Achievement is evaluated by the percentage of exercises.

Related courses

  • MAT.C302 : Spectroscopy
  • MAT.A203 : Quantum Mechanics of Materials

Prerequisites

The students are requested to have taken the lectures on quantum chemistry and experimental class for materials.

Other

The number of students is limited due to the capacity of device.