Figure 8
(a) Three-dimensional printed models of unit cells of the simple, body-centered and face-centered cubic packing of equal spheres. These models serve multiple purposes, e.g. to illustrate the unit cells of the three cubic Bravais lattices, the W and Cu structural prototypes, and the concept of different degrees of space filling in the hard sphere model. (b) Three-dimensional printed unit cell model of CsCl. Left: assembled pieces with a blue sphere in the middle. Middle and right: disassembled pieces and a translucent sphere, representing the Cs+ ion. Without these spheres in different colors, the two matching pieces represent when assembled the simple cubic Bravais lattice and simple cubic packing of equal spheres. This clarifies that the CsCl structural prototype possesses a simple cubic Bravais lattice and a basis consisting of two different atoms (rather than being `some kind of' centered structure). (Reprinted with permission.) |