### 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.

### About Prof. Bernhardt Wuensch

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LEC # TOPICS KEY DATES **Part 1. Crystallography and Symmetry**1 Introduction to Crystallography 2 Crystalline Structure and Geometry Problem set 1 due 3 Translation, Rotation, Periodicity Problem set 2 due 4 2D Symmetries Problem set 3 due 5 2D Plane Groups, Lattices 6 2D Plane Groups, Lattices (cont.) Problem set 4 due 7 2D Plane Groups, Lattices (cont.) Problem set 5 due 8 Diffraction, 3D Symmetries Problem set 6 due 9 Quiz 1 10 3D Symmetries, Point Groups 11 Point Groups Problem set 7 due 12 3D Lattices Problem set 8 due 13 Physical Properties of Crystal Structures Problem set 9 due 14 Final Lecture on Symmetry: 3D Space Groups Problem set 10 due **Part 2. Tensor Properties of Materials**15 Space Group Notation

Tensors16 Tensors (cont.) Problem set 11 due 17 Tensors (cont.) Problem set 12 due 18 Tensors (cont.) Problem set 13 due 19 Quiz 2 20 Representation Quadric 21 Stress and Strain Tensors Problem set 14 due 22 Sheer and Thermal Expansion Tensors Problem set 15 due 23 Piezoelectricity Problem set 16 due 24 Piezoelectricity (cont.) Problem set 17 due 25 Quiz 3 26 4th Rank Tensor Properties Problem set 18 due Lectures Symmetry, Structure, and Tensor Properties of Materials - Lecture 1 - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 1b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 2a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 2b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 3a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 3b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 4a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 4b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 5a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 5b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 6a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 6b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 7a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 7b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 8a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 8b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 10a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 10b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 11a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 11b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 12a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 13a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 13b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 14a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 14b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 15a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 15b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 16a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 16b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 18a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 18b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 20a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 20b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 21a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 21b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 22a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 23a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 23b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 24a - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 24b - Prof. Bernhardt Wuensch View Symmetry, Structure, and Tensor Properties of Materials - Lecture 26 - Prof. Bernhardt Wuensch View Description Type Link Problem set 1 Download Click Problem set 2 Download Click Problem 4 Download Click Problem set 5 Download Click Problem set 6 Download Click Problem set 7 Download Click Problem set 8 Download Click Problem set 9 Download Click Problem set 10 Download Click Problem set 11 Download Click Problem set 12 Download Click Problem set 13 Download Click Problem set 14 Download Click Problem set 15 Download Click Problem set 16 Download Click Problem set 17 Download Click Problem set 18 Download Click