ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Student's work ECTS: 51 Hours of tutorials: 3 Expository Class: 9 Interactive Classroom: 12 Total: 75
Use languages Spanish, Galician, English
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: External department linked to the degrees
Areas: Área externa M.U en Investigación Química y Química Industrial
Center Faculty of Chemistry
Call:
Teaching: Sin docencia (Extinguida)
Enrolment: No Matriculable
- Understand the fundamentals of the theory of solids, in relation to the electronic structure and the lattice.
- Use the relationship between the fundamentals of the theory and the different electronic properties of the network and observed experimentally.
- Understand the influence of the dimensionality of the system on these properties.
TOPIC 1 classical and quantum free electron models: the model of Drude and Sommerfeld model. Effect of the periodic potential of the network in the properties of the electron gas.
In this first issue approximations are introduced for the electrical, thermal conductivity and the Hall effect in a gas of free electrons. Sommerfeld model: Here the effect of the quantization of energy and the Pauli exclusion principle on the electronic and statistical properties of the model of free electrons is described. The specific heat, and electrical conductivity. The drawbacks of the free electron model and the need to take into account the interaction of electrons with the periodic potential of the lattice to describe real systems are described.
Then Brillouin zones are explained, the Bloch theorem and band theory is formulated to free electrons. Density of electronic states.
Finally it is shown as the appearance of energy gaps in the bands of forbidden electronic states are a consequence of the interaction with the periodic potential.
TOPIC 2 quantization energy network. Phonons
This topic energy quantization network is explained and the dispersion relation for a monatomic one-dimensional network in the harmonic oscillator approximation (speed of sound and thermal conductivity) is calculated.
Optical and acoustic modes: the effect of breaking the symmetry (two different atoms, more than one dimension, etc) on the dispersion relation is introduced.
Debye model for the thermal conductivity and thermal expansion is introduced.
TOPIC 3. Experimental in determining electrical properties and thermal transport techniques.
Fundamental aspects of the main experimental techniques will be explained in the determination of properties of electrical and thermal transport in solids: electrical conductivity, thermal conductivity, thermoelectric power and Hall effect.
TOPIC 4 cooperative phenomena in insulators: Ferroelectricity and Magnetism located.
And polarization phenomena dielectric concept introduced. A general treatment of this phenomenon for students to understand the relationship in the treatment of similar phenomena such as magnetic susceptibility was done.
Claussius-Mossotti equation and Debye (induced and permanent dipoles).
Origin of ferroelectric materials and their phenomenology. Effect of system size on ferroelectricity.
The origin of the magnetic moment and the various types of response to an applied field. Brillouin function.
Exchange interaction and origin of the spontaneous magnetization: Ferromagnetism.
Effect of magnetostatic energy on the total energy of the system and the formation of magnetic domains. Monodomain systems and phenomenology of nanostructured magnetic systems.
TOPIC 5 Optical properties of materials. General aspects. Optical properties of metals and semiconductors.
Plasmons: excitations of the free electron gas. Calculating the resonant frequency of a metal plasma. Plasmon mass, localized superificiales. Mie theory and theory of Gans. Numerical methods. Effect of dimensionality reduction on the optical properties. Direct and indirect band gaps. Excitons. QDs (nanoparticles) etc.
- Elliot, S. R., "The Physics and Chemistry of Solids", Chichester : John Wiley & Sons, 1998, ISBN : 0-471-98195-8 (pbk.); ISBN : 0-471-98194-X.
- Cox, P. A., "The Electronic Structure and Chemistry of Solids", Oxford : Oxford University Press, 2005, ISBN : 0-19-855204-1.
- Ziman, John M., "Principles of the Theory of Solids", Cambridge : Cambridge University Press, 1972 [Reprinted: 2018], ISBN : 9781107641341 (rep. 2018).
- Goodenough, John B., “Magnetism and the chemical bond”, New York ; London : Interscience Publishers, 1963.
- Bohren, Craig F., Huffman, Donald R., “Absorption and scattering of light by small particles”, Weinheim, [Germany] : Wiley-VCH Verlag GmbH & Co. KGaA, 2004, ISBN : 9780471293408.
GC2 - Identify information from scientific literature using appropriate channels and integrate this information to raise and contextualise a research topic GC5 - Use scientific terminology in English to argue experimental results in the context of the chemical profession.
GC6 - Correctly apply new technologies for capturing and organising information to solve problems in professional activity
GC8 - Evaluate the human, economic, legal and technical dimensions of professional practice, as well as the impact of chemistry on the environment and the sustainable development of society.
CB6 - Possess and understand knowledge that provides a basis or opportunity for originality in the development and/or application of ideas, especially in a research context.
CB9 - Students must be able to communicate their conclusions, as well as the knowledge and the ultimate reasons that support them, to specialised and non-specialised audiences in a clear and unequivocal way.
CB10 - Students will have the learning skills that will allow them to continue studying in a way that will be largely self-directed or autonomous.
CT1 - Prepare, write and publicly defend scientific and technical reports.
CT3 - Work autonomously and efficiently in the daily practice of research or professional activity.
CT4 - Appreciate the value of quality and continuous improvement, acting with rigour, responsibility and professional ethics.
CE1 - Define concepts, principles, theories and specialised facts of the different areas of chemistry
CE3 - Apply materials and biomolecules in innovative fields of industry and chemical engineering
CE9 - Value, promote and practice innovation and entrepreneurship in the chemical industry and research.
Theoretical face-to-face classes. Lectures (use of blackboard, computer, projector), complemented with virtual teaching tools.
Seminars held with the Master's own teaching staff, or with invited professionals from the company, the administration or other universities. Interactive sessions related to the different subjects with debates and exchange of opinions with students.
Resolution of practical exercises (problems, test questions, interpretation and processing of information, evaluation of scientific publications, etc.)
Individual or small group tutorials.
Carrying out work, both individually and in groups, on scientific topics related to the different subjects of the Master's program.
Oral presentation of papers, reports, etc., including discussion with professors and students.
Use of specialized computer programs and Internet. On-line teaching support (Virtual Campus).
Personal study based on the different sources of information
. Performance of the different tests to verify the acquisition of both theoretical and practical knowledge and the
acquisition of skills and attitudes.
The evaluation will be made attending to two aspects:
• Continuous evaluation: 40% (Activities proposed by the teacher in seminars and tutorials, controls and evaluation tests, etc.)
• Final exam: 60%
The continuous evaluation grade will only be obtained through "active" participation in the activities that make up said evaluation (class presentations, class problem solving, ...), in order to demonstrate that the knowledge set for each of the such activities.
The final exam will include theoretical questions and problems related to the subject included in the subject's program, regardless of whether the subject was worked in the expository, interactive or practical classes. The exam will be graded on a total of 10 points.
In cases of fraudulent performance of exercises or tests, the provisions of the Regulations for evaluating student academic performance and reviewing grades will apply.
Theoretical face-to-face classes: 16h.
Seminars: 4 h.
Scheduled tutorials: 1h.
Preparation of tests and supervised work: 18h.
Personal study of the student: 36h.
• It is very important to attend all classes.
• Problem solving and self-assessment exercises is key to learning this subject. It may be helpful to start with the fixes in handbooks and reference, to follow after the problems given at the end of each chapter in the Reference Manual.
• It is essential to consult the literature and try to complete advanced aspects with the most fundamental concepts that are explained in the class.
| Monday | |||
|---|---|---|---|
| 10:00-12:00 | Grupo /CLE_01 | - | Classroom 2.11 |