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
 3index for cubic and 4index 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 4index 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," http://nanohub.org/resources/5469.
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