Course catalogue
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Master SERP+ Programme - cohort 2020-2025
Solid State Physics (6 ECTS)
All courses during this semester
All courses during this semester
- Transferable skills: Polish course, Summer School in Entrepreneurship (6 ECTS)
- The molecules of life: from structure to chemical function (3 ECTS)
- Selected in silico and in vitro methods in thermodynamics and soft matter (6 ECTS)
- Organic chemistry (3 ECTS)
- Introduction to solid state (6 ECTS)
- Dynamics of photochemical reactions in chemistry, biology and medicine (6 ECTS)
- Transferable skills: Portuguese course, Summer School in Entrepreneurship (6 ECTS)
- Solid State Physics (6 ECTS)
- Molecular Energetics (3 ECTS)
- Laboratory of Materials and Surface Analysis (6 ECTS)
- Interfacial Electrochemistry (3 ECTS)
- Interfaces, Colloids and Self-Assembly (6 ECTS)
- Transferable skills: Summer School in Entrepreneurship (3 ECTS)
- Organic Photochemistry (3 ECTS)
- Italian Courses (3 ECTS)
- Introduction to Solid State (6 ECTS)
- Inorganic Functional Materials (3 ECTS)
- Electrochemical systems for energy conversion and storage (6 ECTS)
- Chemistry and Technology of Catalysis and Laboratory (6 ECTS)
All courses during this semester
- Transferable skills: Scientific writing, French courses - 5ECTS
- Nanosciences (6 ECTS)
- Nanoparticles and Advanced radiation therapies (6 ECTS)
- Fundamentals in data science and machine learning (3 ECTS)
- Femtochemistry (3 ECTS)
- Chemistry for renewable energy: from advanced research to industrial applications (6 ECTS)
- Transferable skills: Scientific writing, Polish courses (6 ECTS)
- Lanthanide luminescence: Application in chemistry and biology (6 ECTS)
- Introduction to Data Sciences (3 ECTS)
- Environmental photochemistry (3 ECTS)
- Computational and quantum photochemistry (6 ECTS)
- Applied photochemistry and luminescence spectroscopy (6 ECTS)
- Scientific Writing and Career Objectives (3 ECTS)
- Portuguese course (3 ECTS)
- Nanotechnologies, Micro and Nano-fabrication (6 ECTS)
- Materials Properties and Applications (6 ECTS)
- Electrochemical Technology (6 ECTS)
- Data Science Basics (3 ECTS)
- Bionanotechnology (3 ECTS)
- Transferable skills: Scientific Writing Industrial Seminars (3 ECTS)
- Surface Science and Nanostructuring at Surfaces (6 ECTS)
- Polymers for electronics and energy harvesting (6 ECTS)
- Laboratory on device building (3 ECTS)
- Italian Courses (3 ECTS)
- Data Science and Applications to Chemistry (3 ECTS)
- Composite materials for biomedical applications (6 ECTS)
Content
- Elastic scattering of radiation and structure. Short and long range order. Diffraction of radiation by crystals. Reciprocal lattice, the Bragg condition, crystal planes and Miller indices. Experimental geometries of diffraction
- Example of a model in condensed matter: the Drude model and the transport and optical properties of metals.
- The Sommerfeld model and Fermi-Dirac statistics. Fermi level and Fermi wavevector. Concept of density of states. Density of states in 3D, 2D and 1D. Specific heat and Pauli susceptibility of a gas of electrons.
- Electrons in a periodic lattice. Bloch's theorem. Concept of Brillouin Zone. Quasi-free electron bands. Degeneracies and opening gaps. Tight -binding models: relationship with LCAO methods. Wannier states and tight-binding parameterization of bands. Examples of bands: bands of aluminum; bands of Si and Ge; bands of grapheme.
- Semi-classical motion in bands. The insulator of bands (or Wilson). Semi-classical motion in external fields. Electrons, holes and Hall effect.
- The harmonic lattice; Einstein Model and specific heat. Normal modes, phonons and quantification. Debye model, the phonon density of states and specific heat of the harmonic lattice.
Aims
To know the fundamentals of Solid State Physics, with particular emphasis on the crystalline state. To apply the knowledge of Quantum Mechanics, thermodynamics and Statistical mechanics to the analysis of Solid-State problems. To be aware of the fundamental techniques of material characterization. To understand the metallic state, thermodynamic and transport properties in metals.
It is expected that the students acquire the ability to reproduce some of the basic results of the studied models and to find answers to relatively elementary extensions thereof, demonstrating ability to understand concepts, models and theories of Condensed Matter Physics, by solving problems that mobilize the reasoning, the relationship of concepts and generalizations of the models studied.
Recommended Books
- The Oxford Solid State Basics, Steven H. Simon; Oxford University Press, 2013, ISBN 978–0–19–968076–4.
- Ashcroft Neil W. , Mermin, N. D.; Solid State Physics, Holt- Rinehart and Winston, 1976. ISBN 978-0-521- 87658-2.
- Michael P. Marder; Condensed Matter Physics, Wiley, 2010. ISBN: 0470617985.
- John Ziman; Principles of the Theory of Solids, Cambridge University Press, 1972. ISBN 978-0-521-40670-3.
- John Singleton; Band Theory and Electronic Properties of Solids, Oxford University Press, 2001. ISBN: 978019850644.
Teaching Staff
João Pedro Araújo (responsible)
Teresa Seixas
Joaquim Agostinho Moreira
Hours
42 h (lectures + practicals)
Grading System
Theoretical-practical classes (TP): Presentation of program content using conventional and multimedia methods; specialized topics will be presented in lectures given by invited researcher or professors. Finally, the basic principle of the classes will be based on a discussion between students and teachers.
Evaluation formula:
- Continuous assessment with answers to regular on-line forms (ca. 1 every 2 classes) and class exercise group solving [3/20].
- Oral presentation of a work at the end of the semester [6/20].
- Final exam realization. [11/20]