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Teaching GuideTerm Faculty of Science |
| Grao en Nanociencia e Nanotecnoloxía |
 Subjects |
| Crystallography and Symmetry |
| Contents |
| Identifying Data | 2020/21 | |||||||||||||
| 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. Symmetry elements and operations. | Reflection, proper rotation, identity operation, inversion operation, improper rotation. Schönflies and Hermann-Mauguin notation. Exercises and problems. |
| Unit 3. Point symmetry groups. | Combination of elements and symmetry operations. Point symmetry groups. Character tables. Applications of point symmetry and group theory to solve simple problems. |
| Unit 4. Symmetry of crystals (I). | Introduction. Morphology and crystalline forms. Crystal systems. Crystal lattices. Unit cell. Bravais lattices. Miller indexes. |
| Unit 5. Symmetry of crystals (II). | Interaction of point symmetry and translation. Helical axes and sliding planes. The 230 space groups. Asymmetric unit coordinates, general, equivalent and special positions. Space group tables. Exercises and problems. |
| Unit 6. Common structures of crystalline solids | Packaging of rigid spheres model. Metal structures. AB structures: NaCl, CsCl, ZnS, NiAs. AB2 structures: TiO2, CaF2. Other structures of interest. |
| 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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