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Aguinaldo M. Mary Anne White. Properties of Materials. Materials are Adapted from Fig. We will look at three such structures Primitive Cell a a a Body-Centered Cubic I Unit Cell Primitive Cell A volume of space that when translated through all the vectors in a Bravais lattice just fills all of space without overlapping or leaving voids is called a primitive cell of the lattice. A primitive cell contains just one Bravais lattice point recall that a crystal lattice is formed by placing one or more atoms at each Bravais lattice point.

The primitive cell is the smallest cell that can be translated throughout space to completely recreate the entire lattice. There is not one unique shape to a primitive cell and many possible shapes fulfill the definition. The primitive cell for the simple cubic lattice is equal to the simple cubic unit cell they are identical in shape.

A common choice for the primitive cell of the body-centered cubic lattice is shown below. The unit cells help to remind us of the symmetry ie. Primitive vectors a1 and a2 are shown. Ashcroft, Neil W. Solid state physics.

The three primitive vectors can be taken to be mutually perpendicular, and with a common magnitude. They are drawn, for clarity, from different origins.

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