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Tetragonal lattices result from stretching a cubic lattice along one of its lattice vectors, so that the cubic becomes a rectangular prism with a square base (a by a) and height (c, which is different from a).

There are two Tetragonal Bravais lattices: the Simple-Tetragonal (from stretching the Simple-Cubic lattice) and the Centered-Tetragonal (from stretching either the Face-Centered or the Body-Centered Cubic lattice).

see also Crystal structure

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