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Symmetry, Structure, and Tensor Properties of Materials

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  • 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

    Note: Contents for this page are Licensed from http://ocw.mit.edu under the Creative Commons Attribution Share-Alike license.

    School
    Massachusetts Institute of Technology

    Course Code
    3.60

    Date Taught
    Fall 2005

    Level
    Graduate (First Year)
  • 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

    Tensors

    16 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 WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 1b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 2a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 2b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 3a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 3b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 4a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 4b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 5a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 5b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 6a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 6b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 7a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 7b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 8a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 8b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 10a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 10b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 11a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 11b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 12a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 13a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 13b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 14a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 14b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 15a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 15b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 16a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 16b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 18a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 18b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 20a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 20b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 21a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 21b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 22a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 23a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 23b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 24a - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 24b - Prof. Bernhardt WuenschView
    Symmetry, Structure, and Tensor Properties of Materials - Lecture 26 - Prof. Bernhardt WuenschView
  • DescriptionTypeLink
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    Problem set 18DownloadClick
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