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Massachusetts Institute of Technology

Symmetry, Structure, and Tensor Properties of Materials

Massachusetts Institute of Technology via MIT OpenCourseWare

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Overview

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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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