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why is the volume of the primitive unit cell smaller than the conventional unit cell? What...

why is the volume of the primitive unit cell smaller than the conventional unit cell? What are the primitive vectors of the fcc (face centered cubic)

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Answer #1

The primitive unit cell is constructed in such a way that there exists only one Bravais lattice point. This results in the increase in density of the number of points thereby decreasing the volume as it is inversely proportional to the number of point density.

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If a be the lattice parameter and denotes the unit cell vectors then the primitive vectors of the FCC is given by

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