物理化學(二)
Physical Chemistry(II)
| 節 | 週三 | 週五 |
|---|---|---|
3 10:10–11:00 | 物理化學(二) SB211（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 物理化學(二) SB211（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
This course is supposed to equip students with basic knowledge of quantum mechanics necessary to understand the wave properties of atoms and molecules. The course consists of the following segments: elementary particles in physics and their interactions, postulates of quantum mechanics, mathematical and physical solutions to basic differential equations of quantum mechanics including the discussion of exactly solvable models, quantum chemistry of many-electron atoms and molecules, energy levels of molecules, and spectroscopic techniques designed to probe atoms and molecules.
Calculus I and II, Applied Mathematics, General Chemistry I, General Physics I and II
無備註
1 Teaching Assistant (TA) fluent in Chinese will be helping the students with language problem. He will be also responsible for grading quizzes and initial communication between students and the lecturer.
The total grade will be based on midterm exam (40% of the total score), final exam (40% of the total score), and 10 best quizzes (out of 13) (20% of the total score) Several homework sheets will be distributed during the semester to prepare the students for the midterm and final exam problems.
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Standard model, elementary particles, and the interactions between them |
| 第 2 週 | Stability of composite particles, the theory of atomic nucleus |
| 第 3 週 | Equations of classical and quantum mechanics, postulates of quantum mechanics |
| 第 4 週 | Schrödinger equation (SE), quantization rules, simple problems in quantum mechanics, solution of SE for a free particle |
| 第 5 週 | Frobenius method for solving differential equations, solution of SE for harmonic oscillator |
| 第 6 週 | solution of SE for a particle in a potential well, MAPLE session for visualizing the solutions of quantum mechanical problems |
| 第 7 週 | Angular momentum in quantum mechanics, change of coordinates in quantum mechanical problems, derivation of spherical harmonics using Frobenius method |
| 第 8 週 | Review of the derived mathematical solutions for a particle on a sphere, quantization principles, spherical harmonics as physically meaningful solutions for a rotating particle, shapes of spherical harmonics |
| 第 9 週 | Solution of SE for the hydrogen-like atom, application of spherical harmonics as the solutions of the angular SE, derivation of Frobenius solutions for the radial SE |
| 第 10 週 | Review of the solutions to the radial SE for hydrogen-like atom, physically meaningful solutions, quantization of energy |
| 第 11 週 | Midterm exam |
| 第 12 週 | Energy spectrum of hydrogen, spin, SE for a helium atom, antisymmetry of electronic wave function, Hartree-Fock wave functions, energy levels of many-electron atoms |
| 第 13 週 | Finding atomic terms for many-electron atoms, Hund's rules |
| 第 14 週 | Electronic configurations of molecules, group theory for linear molecules, finding molecular energy levels for linear molecules corresponding to atomic asymptotes, Born-Oppenheimer approximation |
| 第 15 週 | Potential energy surfaces, translational, vibrational, rotational and electronic wave functions, harmonic approximation and normal mode vibrations, types of vibrational modes, rotational, vibrational, and electronic spectroscopy, selection rules |
| 第 16 週 | Final exam |
The course is based on the lecture materials consisting of hand-written and photographed blackboard lecture notes. Several textbooks are helpful for self-study assistance in the learning process. These include (but are not limited to) the following standard textbooks: P. Atkins, J. de Paula, J. Keeler, "Physical Chemistry" D. A. McQuarrie, J. D. Simon, "Physical Chemistry: A Molecular Approach" R. G. Mortimer, "Physical Chemistry" T. Engel, P. Reid, "Physical Chemistry" Several advances topics are covered in the following textbooks: W. Greiner "Quantum Mechanics: An Introduction" H. Eyring, J. Walter, G. Kimball, "Quantum Chemistry" P. Atkins, R. Friedman, "Molecular Quantum Mechanics"
- 地點
- SB112
- 時間
- There are no specific office hours. Students are encouraged to visit my office (SB 112) at any time during the semester and ask questions about the lecture material. It is always a good idea to send first an email announcing the visit.
- 聯絡方式
- hwitek@nycu.edu.tw