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# Symmetry, Structure, and Tensor Properties of Materials

### Overview

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.

### 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

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