Symmetry, Structure, and Tensor Properties of Materials

Symmetry, Structure, and Tensor 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.

1 - Introduction to Crystallography, Part 1
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2 - Introduction to Crystallography, Part 2
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3 - Crystalline Structure and Geometry, Part 1
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4 - Crystalline Structure and Geometry, Part 2
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5 - Translation, Rotation, Periodicity, Part 1
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6 - Translation, Rotation, Periodicity, Part 2
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7 - 2D Symmetries, Part 1
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8 - 2D Symmetries, Part 2
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9 - 2D Plane Groups, Lattices, Part 1
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10 - 2D Plane Groups, Lattices, Part 2
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11 - 2D Plane Groups, Lattices (cont.), Part 1
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12 - 2D Plane Groups, Lattices (cont.), Part 2
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13 - 2D Plane Groups, Lattices (cont.), Part 1
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14 - 2D Plane Groups, Lattices (cont.), Part 2
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15 - Diffraction, 3D Symmetries, Part 1
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16 - Diffraction, 3D Symmetries, Part 2
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17 - 3D Symmetries, Point Groups, Part 1
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18 - 3D Symmetries, Point Groups, Part 2
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19 - Point Groups, Part 1
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20 - Point Groups, Part 2
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21 - 3D Lattices
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22 - Physical Properties of Crystal Structures, Part 1
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23 - Physical Properties of Crystal Structures, Part 2
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24 - Final Lecture on Symmetry: 3D Space Groups, Part 1
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25 - Final Lecture on Symmetry: 3D Space Groups, Part 2
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26 - Space Group Notation, Part 1
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27 - Space Group Notation, Part 2
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28 - Tensors, Part 1
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29 - Tensors, Part 2
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30 - Tensors (cont.), Part 1
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31 - Tensors (cont.), Part 2
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32 - Representation Quadric, Part 1
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33 - Representation Quadric, Part 2
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34 - Stress and Strain Tensors, Part 1
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35 - Stress and Strain Tensors, Part 2
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36 - Sheer and Thermal Expansion Tensors
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37 - Piezoelectricity, Part 1
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38 - Piezoelectricity, Part 2
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39 - Piezoelectricity (cont.), Part 1
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40 - Piezoelectricity (cont.), Part 2
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41 - 4th Rank Tensor Properties, Part 1
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Symmetry, Structure, and Tensor Properties of Materials

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