Crystallographic Points, Directions, and Planes
Issues to Address...
How to define points, directions, planes, as well as
linear, planar, and volume densities
- Define basic terms and give examples of each:
- Points (atomic positions)
- Vectors (defines a particular direction - plane normal)
- Miller Indices (defines a particular plane)
- relation to diffraction
- 3-index for cubic and 4-index notation for HCP
Content
- Points, Directions, and Planes in Terms of Unit Cell Vectors
- POINT Coordinates
- Crystallographic Directions
- Symmetry Equivalent Directions
- Families and Symmetry: Cubic Symmetry
- Designating Lattice Planes
- Crystallographic Planes in FCC: (100), (110), and (111)
- Comparing Different Crystallographic Planes
- Directions in HCP Crystals and 4-index notation
- Miller Indices for HCP Planes
- Basal Plane in HCP
- Another Plane in HCP
- SUMMARY
Researchers should cite this work as follows:
-
Duane Douglas Johnson, Omar N Sobh (2008), "Illinois MATSE 280 Introduction to Engineering Materials, Lecture 3 Part 3: Crystallographic Points, Directions, and Planes," https://nanohub.org/resources/5469.
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