Molecular Quantum Mechanics 1

Faculteit | Science and Engineering |
Jaar | 2022/23 |
Vakcode | WMCH010-05 |
Vaknaam | Molecular Quantum Mechanics 1 |
Niveau(s) | master |
Voertaal | Engels |
Periode | semester I b |
ECTS | 5 |
Rooster | rooster.rug.nl |
Uitgebreide vaknaam | Molecular Quantum Mechanics 1 | ||||||||||||||||
Leerdoelen | At the end of the course, the student is able to: 1. Relate the properties of operators to observable properties 2. Recognize and use symmetry elements, and apply it to chemistry 3. Reproduce and derive the solution of the Schrödinger equation for simple systems like a particle in a box, particle on a sphere, harmonic oscillator, one-electron atoms 4. application of variational theory to find approximate many-electron wavefunctions 5. the calculation of the effect of additional interactions on energies and wavefunctions by applying perturbation theory 6. Use and application of angular momentum theory to find the term symbols for atoms 7. The construction of proper many-electron wavefunctions 8. Explain and use the method of second quantisation |
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Omschrijving | MQM1 is an in-depth course in molecular quantum mechanics. Topics that are covered are the foundations of quantum mechanics, symmetry, angular momentum theory, (degenerate) perturbation theory, variational theory, atoms, and second quantisation. The students gain insight in the basics of quantum chemistry. The students will be able to: - reproduce the foundations of quantum mechanics - reproduce the basics of point group and space group symmetry - use translational symmetry, and relate it to Bloch's functions and band structures - solve the Schrödinger equation for linear, harmonic, and rotational motion - solve the Schrödinger equation for the hydrogen atom - find the eigenfunctions and eigenvalues of the angular momentum operators using angular momentum theory - derive term symbols for atoms - find approximate many-electron wavefunctions using variational theory - calculate the effect of additional interactions on energies and wavefunctions by applying (degenerate) perturbation theory - describe atomic structure and relate atomic spectra to the atomic structure - use the method of second quantisation |
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Uren per week | |||||||||||||||||
Onderwijsvorm |
Hoorcollege (LC), Werkcollege (T)
(Workload: Self study 112 hrs, Lecture 22 hrs, Tutorial 6 hrs) |
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Toetsvorm |
Schriftelijk tentamen (WE)
(Final mark: Written exam 100% with open questions. See remarks.) |
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Vaksoort | master | ||||||||||||||||
Coördinator | dr. R.W.A. Havenith | ||||||||||||||||
Docent(en) | dr. R.W.A. Havenith ,Dr. J.E.M.N. Klein | ||||||||||||||||
Verplichte literatuur |
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Entreevoorwaarden | The course unit assumes prior basic knowledge acquired from Quantum Chemistry courses. | ||||||||||||||||
Opmerkingen | The final mark is based on the number of correct answers, or correct routes to correct answers. For each exam, a number of points is divided over the questions and the final mark is calculated using the formula ((#points+i)/i) with i being an integer in the range 7-9, depending on the questions, and #points the number of points. To pass the course the final mark should be 5.50 or higher. |
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Opgenomen in |
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