Course catalogue
Create your own master’s programme by choosing between the different specializations of our partner universities.
Academic Programme
Implemented from September 2025
Quantum mechanics (5 ECTS)
All courses during this semester
- Experimental methods on innovative research infrastructures - 5 ECTS
- Digital Micro-certification "The challenges of sustainable chemistry" - 10h
- Transferable skills : French language & interculturality (3 ECTS)
- Quantum mechanics towars quantum computing (5 ECTS)
- Winter school in Data Science (2 ECTS)
- Organic / Inorganic chemistry towards sustainability (5 ECTS)
- Kinetics and Electrochemistry (5 ECTS)
- Introduction to biophysics and microscopies for life science (5 ECTS)
All courses during this semester
- Luminescence spectroscopy of Lanthanides (3 ECTS)
- Summer School in Entrepreneurship (5 ECTS)
- Transferable skills: Polish course (3 ECTS)
- The molecules of life: from structure to chemical function (5 ECTS)
- Thermodynamics and soft matter (3 ECTS)
- Introduction to solid state (5 ECTS)
- Tech-infused perspectives on photochemical reaction dynamics (6 ECTS)
- Transferable skills: Portuguese course (3 ECTS)
- Summer School in Entrepreneurship (5 ECTS)
- Solid State Physics (5 ECTS)
- Molecular Energetics (3 ECTS)
- Laboratory of Materials and Surface Analysis (5 ECTS)
- Interfacial Electrochemistry (3 ECTS)
- Interfaces, Colloids and Self-Assembly (6 ECTS)
All courses during this semester
- 1-year research project - master thesis (equivalent 45 ECTS)
- Progress assessment of the research project (equivalent 6 ECTS)
- Weekly seminars (equivalent 4 ECTS)
- Special Topics in Chemistry (equivalent 5 ECTS)
- French language courses (3 ECTS)
- Nanosciences (6 ECTS)
- Medical applications of nanomaterials and radiations (6 ECTS)
- Top management, corporate law, and project writing for technology transfer and decision making (4 ECTS)
- Tracking ultrafast radiation-induced reactivity (3 ECTS)
- Applications for renewable energy and storage: solar fuels, batteries and hydrogen (6 ECTS) (6 ECTS)
- Scientific Writing and career objectives (2 ECTS)
- Surface Science and Nanostructuring at Surfaces (6 ECTS)
- Polymers for electronics and energy harvesting (5 ECTS)
- Electrochemical systems for fuel and electrolysis cells and batteries (6 ECTS)
- Project-based laboratory on device building (3 ECTS)
- Italian Courses (3 ECTS)
- Chemistry and Technology of Catalysis (5 ECTS)
Content
Chapter 1: Fundamental concepts
- Domain of quantum mechanics : “microscopic word”
- Properties of electromagnetic waves
- Wave-particle duality : de Broglie’s wave for a free particle
- Double slit experiment
- Wave function,
- Time dependent and time independent Schrödinger equations
- Superposition of states
- Postulates of quantum mechanics
Chapter 2: Quantization
- Quantization in an infinite well (1D, 2D and 3D)
- Tunnelling effects
- Finite 1D well
- Double well
Chapter 3: Molecular vibrations
- Born-Oppenheimer approximation
- Separation of the center of mass in a two-body problem
- Harmonic oscillators
- Vibration of a diatomic molecules
- Vibrational normal modes
- Franck-Condon principle
Chapter 4: Rotations and Hydrogenic atoms
- Particle on a sphere
- Rigid diatomic rotor
- Angular
Chapter 5: Electronic structure of molecules and nanoparticles
- Molecular Hamiltonian
- Born-Oppenheimer approximation
- Linear combination of atomic orbitals
- Orthogonal and nonorthogonal basis sets, minimal basis set
- Molecule orbitals : sigma/pi, overlap
- Molecular orbital energies, Koopman theorem
- HOMO-LUMO gap
- Mulliken charge, ionisation energy, electronegativity, electron affinity
- Molecular Orbital diagram, Walsh correlation diagram
- Extended Hückel Theory
- Introduction to Tight-Binding Density Functional Theory
Aims
The course introduces the fundamentals of quantum mechanics and applies the timedependent and time independent Schrödinger equations to analytically solvable systems. The free electron confined in a box potential, the hydrogen atom, the rotational and vibrational motions of diatomic molecules are treated in detail. Important concepts related to electronic structure are introduced. Approximate methods such as extended Hückel theory and tight-binding density functional theory are applied to study the structure and reactivity of molecules and nanoparticles.
Pre-requiste
Elementary Linear Algebra, and Undergraduate Physical Chemistry
Teaching Staff
Van-Oanh Nguyen-Thi
Dominik Domin
Hours
Lecture: 10 h
Tutorial: 13 h
Practical courses: 14 h
Grading System
2 exams (70%) + 2 quizzes and 2 practical labs (30%)