MIT 3.60 Symmetry, Structure & Tensor Properties of Material

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. Created by MIT OpenCourseWare.


Average Course Length

40 hours


Skill Level

Intermediate



Pick a lesson


1: Lecture 1a
2: Lecture 1b
3: Lecture 2a
4: Lecture 2b
5: Lecture 3a
6: Lecture 3b
7: Lecture 4a
8: Lecture 4b
9: Lecture 5a
10: Lecture 5b
11: Lecture 6a
12: Lecture 6b
13: Lecture 7a
14: Lecture 7b
15: Lecture 8a
16: Lecture 8b
17: Lecture 10a
18: Lecture 10b
19: Lecture 11a
20: Lecture 11b
21: Lecture 12a
22: Lecture 13a
23: Lecture 13b
24: Lecture 14a
25: Lecture 14b
26: Lecture 15a
27: Lecture 15b
28: Lecture 16a
29: Lecture 16b
30: Lecture 18a
31: Lecture 18b
32: Lecture 20a
33: Lecture 20b
34: Lecture 21a
35: Lecture 21b
36: Lecture 22a
37: Lecture 23a
38: Lecture 23b
39: Lecture 24b
40: Lecture 24a
41: Lecture 26