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.
Symmetry, Structure, and Tensor Properties of Materials
Massachusetts Institute of Technology via MIT OpenCourseWare
Overview
Syllabus
- Crystalline Structure and Geometry - Part 1
- Introduction to Crystallography - Part 1
- Physical Properties of Crystal Structures - Part 1
- Piezoelectricity - Part 1
- Piezoelectricity (cont.) - Part 1
- Point Groups - Part 1
- Representation Quadric - Part 1
- Sheer and Thermal Expansion Tensors - Part 1
- Space Group Notation/Tensors - Part 1
- Stress and Strain Tensors - Part 1
- Tensors (cont.) - Part 1
- Tensors (cont.) - Part 1
- Translation, Rotation, Periodicity - Part 1
- 2D Plane Groups, Lattices - Part 1
- 2D Plane Groups, Lattices - Part 2
- 2D Plane Groups, Lattices (cont.) - Part 1
- 2D Plane Groups, Lattices (cont.) - Part 1
- 2D Plane Groups, Lattices (cont.) - Part 2
- 2D Plane Groups, Lattices (cont.) - Part 2
- 2D Symmetries - Part 1
- 2D Symmetries - Part 2
- Crystalline Structure and Geometry - Part 2
- Introduction to Crystallography - Part 2
- Physical Properties of Crystal Structures - Part 2
- Piezoelectricity - Part 2
- Piezoelectricity (cont.) - Part 2
- Point Groups - Part 2
- Representation Quadric - Part 2
- Sheer and Thermal Expansion Tensors - Part 2
- Space Group Notation/Tensors - Part 2
- Stress and Strain Tensors - Part 2
- Tensors (cont.) - Part 2
- Tensors (cont.) - Part 2
- Translation, Rotation, Periodicity - Part 2
- 3D Lattices - Part 1
- 3D Lattices - Part 2
- 3D Symmetries, Point Groups - Part 1
- 3D Symmetries, Point Groups - Part 2
- Diffraction, 3D Symmetries - Part 1
- Diffraction, 3D Symmetries - Part 2
- Final Lecture on Symmetry: 3D Space Groups - Part 1
- Final Lecture on Symmetry: 3D Space Groups - Part 2
- 4th Rank Tensor Properties - Part 1
Taught by
Prof. Bernhardt Wuensch
