Simple, Body Centered & Face Centered Cubic Systems

The three Bravais lattices which form cubic crystal systems are

Simple cubic (P)

Body-centered cubic (I)

Face-centered cubic (F)

The simple cubic system (P) consists of one lattice point on each corner of the cube. Each atom at the lattice points is then shared equally between eight adjacent cubes, and the unit cell therefore contains in total one atom (¹⁄₈ × 8).
The body-centered cubic system (I) has one lattice point in the center of the unit cell in addition to the eight corner points. It has a net total of 2 lattice points per unit cell (¹⁄₈ × 8 + 1).
The face-centered cubic system (F) has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of 4 atoms per unit cell (¹⁄₈ × 8 from the corners plus ¹⁄₂× 6 from the faces).
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.


All the above information is taken from Wikipedia. Please refer to Wikipedia for more info.  

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