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 - Part 1
22. 3D Lattices - Part 2
23. Physical Properties of Crystal Structures - Part 1
24. Physical Properties of Crystal Structures - Part 2
25. Final Lecture on Symmetry: 3D Space Groups - Part 1
26. Final Lecture on Symmetry: 3D Space Groups - Part 2
27. Space Group Notation, Tensors - Part 1
28. Space Group Notation, Tensors - Part 2
29. Tensors (cont.) - Part 1
30. Tensors (cont.) - Part 2
31. Tensors (cont.) - Part 1
32. Tensors (cont.) - Part 2
33. Representation Quadric - Part 1
34. Representation Quadric - Part 2
35. Stress and Strain Tensors - Part 1
36. Stress and Strain Tensors - Part 2
37. Sheer and Thermal Expansion Tensors - Part 1
38. Piezoelectricity - Part 1
39. Piezoelectricity - Part 2
40. Piezoelectricity (cont.) - Part 1
41. Piezoelectricity (cont.) - Part 2
42. 4th Rank Tensor Properties

This is an upper-level undergraduate engineering course that explores the structure and symmetry of materials and the profound effect that structure has on physical properties of materials.

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.