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Teaching GuideTerm Faculty of Science |
| Grao en Nanociencia e Nanotecnoloxía |
 Subjects |
| Crystallography and Symmetry |
| Contents |
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| Identifying Data | 2022/23 | |||||||||||||
| Subject | Crystallography and Symmetry | Code | 610G04006 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Graduate | 2nd four-month period |
First | Basic training | 6 | ||||||||||
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| Topic | Sub-topic |
| Unit 1. Introduction. | Introduction to the world of crystals and symmetry. Its relevance in the field of nanoscience and nanotechnology. |
| Unit 2. Cristal lattice theory. | Crystal lattices. Knots, rows, lattice planes and their notations. Elementary cells. Reciprocal lattices. Lattice spacing. Exercises and problems. |
| Unit 3. Symmetry of crystals I: Point symmetry. | Concept of symmetry. Point symmetry operators. Stereographic projection. Applications of point symmetry. |
| Unit 4. Symmetry of crystals II: Group theory. | Fundamentals of group theory. Description and representation of Symmetry Point Groups (S.P.G.). Applications of S.P.G.: Description of the symmetry of molecules and crystal morphology. Bravais lattice. Simple problems resolution. |
| Unit 5. Symmetry of crystals III: Space groups. | Planar and three-dimensional space groups. Spatial symmetry operations. Translations. Sliding planes. Helical axes. Projections of crystalline structures. Tables of space groups. Exercises and problems. |
| Unit 6. Crystalline morphology and properties of crystals. | Shapes and habits. Mechanisms of crystal growth. Physical properties. Crystalline optics. Optical properties and structure of minerals. Exercises and practical examples. |
| Unit 7. Introduction to X-ray diffraction. | Basic concepts of radiation-matter interaction. Bragg's law. X-ray powder diffractograms and their utility in the study of crystalline solids. |
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