2025 (Current Year) Faculty Courses School of Science Department of Chemistry Graduate major in Chemistry
Advanced Quantum Chemistry I
- Academic unit or major
- Graduate major in Chemistry
- Instructor(s)
- Masashi Kitajima / Masakazu Yamazaki
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Class
- -
- Course Code
- CHM.C435
- Number of credits
- 100
- Course offered
- 2025
- Offered quarter
- 4Q
- Syllabus updated
- Mar 19, 2025
- Language
- English
Syllabus
Course overview and goals
This course focuses on the understanding of atomic and molecular collisions which is important in understanding the chemical reactions. The course also follows several aspects on atomic and molecular collisions. The indistinguishability of identical particles and the Pauli principle are also included in the course.
Course description and aims
By taking this course, students will acquire the basic knowledge on atomic and molecular collisions. The students will also be able to understand the indistinguishability of identical particles and the Pauli principle.
Keywords
indistinguishability of identical particles, the Pauli principle, atomic and molecular collision, collision cross section, generalized oscillator strength, non-adiabatic transition
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
In some classes, students are assigned to excercise problems related to the leture given that day to solve.
To prepare for class, students should read the course schedule section and check what topics will be covered.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | General explanation about this course, the Pauli principle, revisited (the two-body system) | Derive the property of the permutation symmetry of two identical particles from the indistinguishability of identical particles. |
| Class 2 | The Pauli principle, revisited (the n-body system) | Derive the property of the permutation symmetry of n identical particles from the indistinguishability of identical particles. |
| Class 3 | Chemical reaction and atomic and molecular collisions: Cross sections | Understand the relation between the rate constant and the cross section. |
| Class 4 | Collisions of atoms and molecules: wave functions of the continuum states and cross sections in quantum mechanics | Understand the quantum view of the collision which is related to the wave functions of the continuum states. Understand also the relation between the wave functions and the cross sections based on the quantum mechanics. |
| Class 5 | Theory of Scattering: method of partial waves | Obtain collision cross sections in the method of partial wave |
| Class 6 | Theory of Scattering: the Born approximation | Obtain collision cross sections in the Born approximation |
| Class 7 | Theory of Scattering: non-adiabatic transition | Understand the concept of non-adiabatic transition |
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)
Course materials are provided during class if necessary.
Reference books, course materials, etc.
B. H. Bransden and C. J. Joachain, Physics of atoms and molecules, 2nd Edition, Pearson Education
Evaluation methods and criteria
Grades will be based on final examinations or reports.
Related courses
- LAS.C105 ： Basic Quantum Chemistry
- CHM.C201 ： Introductory Quantum Chemistry
- CHM.C301 ： Introductory Chemical Kinetics
- CHM.C332 ： Quantum Chemistry
- CHM.C334 ： Chemical Kinetics
- CHM.C401 ： Basic Concepts of Physical Chemistry I
- CHM.C402 ： Basic Concepts of Physical Chemistry II
Prerequisites
No prerequisites.