Structural Properties of Solids26657
- Centre
- Faculty of Science and Technology
- Degree
- Bachelor's Degree in Physics
- Academic course
- 2024/25
- Academic year
- 4
- No. of credits
- 6
- Languages
- Spanish
- Basque
- Code
- 26657
TeachingToggle Navigation
Teaching guideToggle Navigation
Description and Contextualization of the SubjectToggle Navigation
In this course the basic elements necessary to describe the microscopic properties of crystalline
matter are presented. The first topic introduces the necessary elements for a classification based
on the geometric ordering of atoms. The next topic discusses the classification of solids based on
the valence electronic structure of the atoms. The third theme describes the physical properties
and the effect of symmetry on them. Finally, the bases of crystal diffraction are presented as a
technique for the determination of crystalline structures.
Skills/Learning outcomes of the subjectToggle Navigation
- To know and to handle the physical and mathematical fundamentals of the diffraction of
X-rays and electrons for the structural analysis of matter.
- Development of skills to visualize three-dimensional structures and recognize different
structures.
- Identify the symmetry-elements and operations, lattice-types, crystalline systems,
point-groups and space-groups, as well as notation systems.
Theoretical and practical contentToggle Navigation
Structural Properties of Solids (6ECTS, optional, 4th year)
Syllabus
Crystal symmetry
1. Introduction to the structure of solids. Symmetry-elements and transformations. Proper and
improper operations. Helical axes and sliding planes. Bravais lattice. Point groups. Crystal
systems and Bravais lattices in 2 and 3 dimensions. Wigner-Seitz lattice. Space groups.
Setting standard. Transformations between different settings. Symmorphic and
non-symorphic groups. Chirality and enantiomorphism. Wickoff positions. Type structures.
2-Classification of solids and cohesion energy
Molecular bonds. Molecular, ionic and covalent solids. Ionic radii. Stability of ionic
structures. Hydrogen bond. Cohesion, general concepts. The noble gas solids. Lennard-Jones
potential. Madelung’s constant. Cohesion energy in metals.
3-Physical properties of solids
Crystal anisotropy. Tensor physical properties. Symmetry of physical properties: reduction
of tensors. Curie-Neumann principle. Rank 1 tensors: polarization. Rank 2 tensors: tension
and deformation. Propagation of elastic waves: elastic constants. Piezoelectricity.
Thermodynamic properties of crystals: thermoelastic effect, heat of deformation, direct
effects, coupled effects. Pyroelectricity. Examples of optical tensors.
4-Diffraction and solid structure determination
Physical bases of diffraction. Reciprocal lattice. X-rays, neutrons and electrons. Diffraction
geometry. Diffraction by gases, liquids and solids. Laue equations. Bragg’s law. Structure
factor.
MethodologyToggle Navigation
The development of course content will be done through in-class lessons. The resolution of
exercises will be done by the teacher and students will have to do the presentation of their work.
The course is complemented with the contents presented in the corresponding course in Egela,
where collections of exercises and exams from previous courses can be found.
Assessment systemsToggle Navigation
- Continuous Assessment System
- Final Assessment System
- Tools and qualification percentages:
- Realization of Practical Work (exercises, cases or problems) (%): 50
- Exhibition of works, readings ... (%): 50
Ordinary Call: Orientations and DisclaimerToggle Navigation
P : Participation in classroom practice sessions. It includes periodic delivery of exercises resolved
in class.
T : Exhibition of works carried out individually or in groups.
E: Final exam.
Three options are considered for the calculation of the final grade:
Option 1: Continuous evaluation 1: P + T
Option 2: Continuous evaluation 2: (P + T ) × 0.7 + E × 0.3
Option 3: Final exam: E.
By default, option (1) will be assumed. To take advantage of option (3) the intention to renounce
continuous assessment must be communicated in writing to the teacher before November 15.
People who appear on the day of the exam without having renounced the continuous evaluation
will take advantage of option (2).
Extraordinary Call: Orientations and DisclaimerToggle Navigation
Final exam, whose result will be 100 % of the final grade.
Compulsory materialsToggle Navigation
Curso en Egela: https://egela.ehu.eus/course/view.php?id=21799
BibliographyToggle Navigation
Basic bibliography
- Malgrane, C., Ricolleau, C., Schlenker, M., Physical Properties of Crystals. Ed. Springer
2014, ISBN 978-94-017-8993-6 (eBook).
- Ashcroft, N.W., Mermin, N.D. Solid State Physics. Holt, Rhinehart and Winston 1976.
- Giacovazzo, C., Fundamentals of Crystallography Oxford Univ Press, 1992.
- Nye, J.F., Physical Properties of Crystals: Their Representation by Tensors and Matrices
Oxford Univ Press, 1985.
Web addresses
Bilbao Crystallographic Server: www.cryst.ehu.eus
Inorganic Crystal Structure Database (ICSD): webbdcrista1.ehu.es/icsd/index.php
Materials Project: materialsproject.org
GroupsToggle Navigation
01 Teórico (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
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1-15 | 10:30-11:30 (1) | 10:30-11:30 (2) | 10:30-11:30 (3) |
Teaching staff
01 Seminar-1 (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-15 | 10:30-11:30 (1) |
Teaching staff
01 Applied classroom-based groups-1 (Spanish - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-15 | 10:30-11:30 (1) | 10:30-11:30 (2) | 10:30-11:30 (3) |
Teaching staff
31 Teórico (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-15 | 10:30-11:30 (1) | 10:30-11:30 (2) | 10:30-11:30 (3) |
Teaching staff
31 Seminar-1 (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-15 | 10:30-11:30 (1) |
Teaching staff
31 Applied classroom-based groups-1 (Basque - Mañana)Show/hide subpages
Weeks | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1-15 | 10:30-11:30 (1) | 10:30-11:30 (2) | 10:30-11:30 (3) |