Symmetry, Structure, and Tensor Properties of Materials

Course Description

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.

Copyright Information

Bernhardt Wuensch. 3.60 Symmetry, Structure, and Tensor Properties of Materials, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 31 Jan, 2015). License: Creative Commons BY-NC-SA

Course Introduction Video
Symmetry, Structure, and Tensor Properties of Materials
Crystal structure of the cuprate compound Bi2Sr2CaCu2O8+δ or Bi2212, showing the copper (purple)–oxygen (black) layer responsible for superconductivity. (Image courtesy of Lawrence Berkeley Laboratory.)
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Video Lectures & Study Materials

Visit the official course website for more study materials: http://ocw.mit.edu/courses/materials-science-and-engineering/3-60-symmetry-structure-and-tensor-properties-of-materials-fall-2005/

# Lecture Play Lecture
1 Introduction to Crystallography - Part 1 (45:32) Play Video
2 Introduction to Crystallography - Part 2 (45:50) Play Video
3 Crystalline Structure and Geometry - Part 1 (50:35) Play Video
4 Crystalline Structure and Geometry - Part 2 (52:23) Play Video
5 Translation, Rotation, Periodicity - Part 1 (54:36) Play Video
6 Translation, Rotation, Periodicity - Part 2 (49:21) Play Video
7 2D Symmetries - Part 1 (57:19) Play Video
8 2D Symmetries - Part 2 (48:09) Play Video
9 2D Plane Groups, Lattices - Part 1 (54:48) Play Video
10 2D Plane Groups, Lattices -Part 2 (38:54) Play Video
11 2D Plane Groups, Lattices (cont.) - Part 1 (50:23) Play Video
12 2D Plane Groups, Lattices (cont.) - Part 2 (38:54) Play Video
13 2D Plane Groups, Lattices (cont.) - Part 1 (59:51) Play Video
14 2D Plane Groups, Lattices (cont.) - Part 2 (35:00) Play Video
15 Diffraction, 3D Symmetries - Part 1 (49:58) Play Video
16 Diffraction, 3D Symmetries - Part 2 (42:37) Play Video
17 3D Symmetries, Point Groups - Part 1 (35:12) Play Video
18 3D Symmetries, Point Groups - Part 2 (48:37) Play Video
19 Point Groups - Part 1 (46:59) Play Video
20 Point Groups - Part 2 (50:39) Play Video
21 3D Lattices - Part 1 (53:38) Play Video
22 3D Lattices - Part 2 (N/A) Play Video
23 Physical Properties of Crystal Structures - Part 1 (58:37) Play Video
24 Physical Properties of Crystal Structures - Part 2 (39:07) Play Video
25 Final Lecture on Symmetry: 3D Space Groups - Part 1 (18:17) Play Video
26 Final Lecture on Symmetry: 3D Space Groups - Part 2 (1:08:37) Play Video
27 Space Group Notation, Tensors - Part 1 (45:52) Play Video
28 Space Group Notation, Tensors - Part 2 (44:06) Play Video
29 Tensors (cont.) - Part 1 (45:01) Play Video
30 Tensors (cont.) - Part 2 (37:58) Play Video
31 Tensors (cont.) - Part 1 (47:39) Play Video
32 Tensors (cont.) - Part 2 (38:53) Play Video
33 Representation Quadric - Part 1 (1:03:30) Play Video
34 Representation Quadric - Part 2 (31:22) Play Video
35 Stress and Strain Tensors - Part 1 (47:31) Play Video
36 Stress and Strain Tensors - Part 2 (41:17) Play Video
37 Sheer and Thermal Expansion Tensors - Part 1 (52:21) Play Video
38 Piezoelectricity - Part 1 (57:56) Play Video
39 Piezoelectricity - Part 2 (39:12) Play Video
40 Piezoelectricity (cont.) - Part 1 (51:28) Play Video
41 Piezoelectricity (cont.) - Part 2 (39:32) Play Video
42 4th Rank Tensor Properties (1:16:59) Play Video

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