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What is a node?
A specific spot on the unit cell
How do we use nodes?
We essentially ignore the unit cell, instead using a node to represent the volume it takes up
Lattice
Imaginary pattern of nodes, in which every node has an environment identical to every other node
How can the lattice move?
It can be shifted parallel to itself
What creates the lattice
repetition of nodes
2D Bravais Lattices
The five ways you can organize nodes in 2D
What are the five 2D bravais lattices?
general/oblique, rectangular, centered rectangular, square, and rhombic
How many 3D lattice arrangements are there, and what are they called?
14, also bravis lattices
Who discovered bravis lattices
Auguste BRavis
What is combined to make the 3D bravis lattices
2D bravis lattices, and the six crystal systems
What symmetry operations are used to create 3D bravis lattices
Glide, translation, and screw axes
What do space groups do
Cover all the ways motifs can be combined in 3D
What does P stand for in a space group
primative
What does A, B, or C stand for in a space group?
Face centered along an axis
What does I stand for in a space group?
Body centered
What does F stand for in a space group?
Face centered
What does R stand for in a space group?
Rhombohedral
What are space groups based on?
One of the 14 3D bravis lattices, plus symmetry content from one of the 32 point groups
To extend from a point to 3d, what can we do?
Substitute glide planes for mirror planes or screw axes
Types of glide
a/b/c, n, and d
a, b, or c glide
gliding along that axis
n glide
Diagonal glide between axes
d glide
Diamond glide
Note 
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