Symmetry, Structure, and Tensor Properties of Materials

Schematic of molecular crystal structure.
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.)


MIT Course Number


As Taught In

Fall 2005



Cite This Course

Course Features

Course Description

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.

Bernhardt Wuensch. 3.60 Symmetry, Structure, and Tensor Properties of Materials, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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