Cubic crystal system, crystallographic elements

SOLUTION As one of the cubic lattice systems, the fee lattice must belong to one of the cubic crystallographic point groups listed in Table 13.1 T, Ty O, or O. We may first examine the face-centered cubic unit cell for any of the symmetry elements of these point groups if they are symmetry elements of the unit cell, they will also be symmetry elements of the crystal. The face-centered cubic unit cell with identical spherical atoms at each lattice point has all the symmetry elements of the perfect cube E, I, six Q axes, four C3 axes, three Q axes, and nine mirror planes. These are sufficient to identify the point group of the unit cell, and the lattice, as O. ... 

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