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.
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![Schematic of molecular crystal structure.](/courses/3-60-symmetry-structure-and-tensor-properties-of-materials-fall-2005/7523b49bb7a42614053adbda9b982d37_3-60f05.jpg)
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.)