About this courseSkip About this course
Part 2 provides an introduction to the study of crystallography. We begin by looking at crystals and their symmetries in two dimensions. Then, we expand into three dimensions, exploring the underlying crystalline structures that underpin most of the materials that surround us. Finally, we look at how tensors can be used to represent the properties of three-dimensional materials, and we show how these change as a function of the crystalline symmetry.
If you would like to explore the structure of materials further, we encourage you to enroll in Part 1 and Part 3 of the course.
Crystal structure image by User: Materialscientist on Wikimedia.
Photo of quartz by User: JJ Harrison on Wikimedia. (CC BY-SA) 2.5
What you'll learnSkip What you'll learn
- How to describe symmetry in both two and three dimensions
- How tensors can be used to represent the properties of materials in three dimensions
- How the symmetry of a material influences the materials properties
- Translation, mirror, glide and rotation symmetry
- Allowed rotational symmetries in crystals
- The 10 2D point groups
- An introduction to crystallographic notation
- The five 2D lattice types
- The 17 plane groups in 2D
- Inversion, Roto-Inversion, and Roto-reflection
- Screw symmetry
- Space point groups
- Stereographic projection
- Crystal lattices
- Space groups
- Symmetry constraints on materials properties
- Coordinate transformation
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