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3.60

Symmetry, Structure, and Tensor Properties of Materials

Graduate · Historical course

Fall 2005

Topics

  • Introduction to Crystallography
  • Crystalline Structure and Geometry
  • Translation, Rotation, Periodicity
  • 2D Symmetries
  • 2D Plane Groups, Lattices
  • 2D Plane Groups, Lattices (cont.)
  • Diffraction, 3D Symmetries
  • 3D Symmetries, Point Groups
  • Point Groups
  • 3D Lattices
  • Physical Properties of Crystal Structures
  • Final Lecture on Symmetry: 3D Space Groups
  • Space Group Notation
  • Tensors (cont.)
  • Representation Quadric
  • Stress and Strain Tensors
  • Sheer and Thermal Expansion Tensors
  • Piezoelectricity
  • Piezoelectricity (cont.)
  • 4th Rank Tensor Properties

Readings

Sources