For convenience a Bravais lattice is depicted by a unit cell which is a factor 1, 2, 3 or 4 larger than the primitive cell.
32.
In terms of its crystallography, corundum adopts a trigonal Bravais lattice with a space group of R-3c ( number 167 in the International Tables ).
33.
These lattices are classified by space group of the translation lattice itself; there are 14 Bravais lattices in three dimensions; each can apply in one lattice system only.
34.
The Bravais lattice of the crystal structure defines a set of possible " low-energy planes, " which are usually planes on which the atoms are close-packed.
35.
This reciprocal lattice is itself a Bravais lattice, and the reciprocal of the reciprocal lattice is the original lattice, which reveals the Pontryagin duality of their respective vector spaces.
36.
Friedel was able to demonstrate the theoretical ideas of Bravais ( the Bravais lattice ) with the help of x-ray diffraction experiments on crystals, and so provide the physical basis therefore.
37.
In geometry and crystallography, a "'Bravais lattice "'is a category of symmetry groups for translational symmetry in three directions, or correspondingly, a category of translation lattices.
38.
Shown above are examples of the hexagonal polytypes 2H, 4H and 6H as they would be written in the Ramsdell classification scheme where the number indicates the layer and the letter indicates the Bravais lattice.
39.
Attempting to create a C-centered cubic crystal system ( i . e ., putting an extra lattice point in the center of each horizontal face ) would result in a simple tetragonal Bravais lattice.
40.
When the discrete points are atoms, ions, or polymer strings of solid matter, the Bravais lattice concept is used to formally define a " crystalline arrangement " and its ( finite ) frontiers.
