3D Symmetries, Point Groups, Part 1

Lecture Description

Course Description

This course covers the derivation of symmetry theory; lattices, point groups, space groups, and their properties; use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces; and applications to piezoelectricity and elasticity.

Course Index

1. Introduction to Crystallography, Part 1
2. Introduction to Crystallography, Part 2
3. Crystalline Structure and Geometry, Part 1
4. Crystalline Structure and Geometry, Part 2
5. Translation, Rotation, Periodicity, Part 1
6. Translation, Rotation, Periodicity, Part 2
7. 2D Symmetries, Part 1
8. 2D Symmetries, Part 2
9. 2D Plane Groups, Lattices, Part 1
10. 2D Plane Groups, Lattices, Part 2
11. 2D Plane Groups, Lattices (cont.), Part 1
12. 2D Plane Groups, Lattices (cont.), Part 2
13. 2D Plane Groups, Lattices (cont.), Part 1
14. 2D Plane Groups, Lattices (cont.), Part 2
15. Diffraction, 3D Symmetries, Part 1
16. Diffraction, 3D Symmetries, Part 2
17. 3D Symmetries, Point Groups, Part 1
18. 3D Symmetries, Point Groups, Part 2
19. Point Groups, Part 1
20. Point Groups, Part 2
21. 3D Lattices
22. Physical Properties of Crystal Structures, Part 1
23. Physical Properties of Crystal Structures, Part 2
24. Final Lecture on Symmetry: 3D Space Groups, Part 1
25. Final Lecture on Symmetry: 3D Space Groups, Part 2
26. Space Group Notation, Part 1
27. Space Group Notation, Part 2
28. Tensors, Part 1
29. Tensors, Part 2
30. Tensors (cont.), Part 1
31. Tensors (cont.), Part 2
32. Representation Quadric, Part 1
33. Representation Quadric, Part 2
34. Stress and Strain Tensors, Part 1
35. Stress and Strain Tensors, Part 2
36. Sheer and Thermal Expansion Tensors
37. Piezoelectricity, Part 1
38. Piezoelectricity, Part 2
39. Piezoelectricity (cont.), Part 1
40. Piezoelectricity (cont.), Part 2
41. 4th Rank Tensor Properties, Part 1