This is a continuation of “Quantum Mechanics of Materials (MAT.A202.R)”, and is the second of a two course sequence with “Quantum Chemistry A (MAT.P201.E). In “Quantum Chemistry A”, we learn the postulates and formulations of quantum mechanics to understand approximate methods in quantum chemistry and mastering its calculation techniques, such as perturbation and a variation principle. “Quantum Chemistry B (MAT.P202.E)” covers its application to simple real physical systems, such as “molecular orbital theory” and “interaction of light and matter”.
[Outcome] To gain an understanding of advanced materials science, quantum mechanics and the way of its application to chemistry and material engineering are essential in order to answer the questions on the structure and function of materials. Upon successful completion of “Quantum Chemistry B”, students will have accomplished the objectives of learning “molecular orbital theory” and “interaction of light and matter” on the basis of “Quantum Chemistry A”.
[Theme] Quantum mechanics fails to obtain rigorous solutions for complex systems. To overcome these difficulties, many types of approximate methods and techniques have been invented and applied. This course focuses on the applications of perturbation and a variation principle to quantum chemistry problems.
molecular orbital theory (the hydrogen molecule-ion, diatomic molecules, polyatomic molecules, the Hückel approximation), molecular symmetry, group theory, interaction of light and matter, semi-classical approach, time-dependent Schrödinger equation, time-dependent perturbation, absorption and emission of light, transition probability, spontaneous emission, stimulated emission
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Course materials are provided beforehand. Before coming to class, students should read the course schedule and contents of the course materials. Required learning should be completed outside of the classroom for preparation and review purposes,
|Course schedule||Required learning|
|Class 1||Molecular orbital theory (1) (the hydrogen molecule-ion, , many-electron system)||Homework is given in the class.|
|Class 2||Molecular orbital theory (2) (diatomic molecules, polyatomic systems)|
|Class 3||Molecular orbital theory (3) (the Hückel approximation)|
|Class 4||Molecular orbital theory (4) (symmetry elements and applications to molecular orbital theory)|
|Class 5||Molecular symmetry (symmetry elements and applications to molecular spectroscopy)|
|Class 6||Interaction of light and matter (1) (semi-classical approach, time-dependent perturbation)|
|Class 7||Interaction of light and matter (2) (absorption and emission of light, transition probability）|
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.
Course materials can be found on OCW-i.
Yoshiya HARADA, "Quantum Chemistry", Sho-kabo, in Japanese
Masayoshi Oiwa, "10 lectures of calculas for chemist", Kagakudojin, in Japanese
Peter ATKINS, Physical Chemistry, Oxford
Homework: 20%, Final Exam: 80%.
It is recommended but not required that students take general physics and calculus, matrix/linear algebra, and ordinary differential and partial equations. Enrollment in "Quantum Chemistry A" is desirable.