For face-centered cubic and body-centered cubic lattices, the primitive lattice vectors are not orthogonal.
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For face-centered cubic ( fcc ) and body-centered cubic ( bcc ) lattices, the primitive lattice vectors are not orthogonal.
3.
Gordaite belongs to the point group P . This indicates that the mineral has a primitive lattice and belongs to the hexagonal / trigonal point group.
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The Minkowski Hlawka theorem follows easily from this, using the fact that if " S " is a star-shaped centrally symmetric body ( such as a ball ) containing less than 2 primitive lattice vectors then it contains no nonzero lattice vectors.
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