513.001 Molecular and Solid State Physics

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A C-centered tetragonal Bravais lattice does not exist

There are four orthorhombic Bravais lattices but only two tetragonal Bravais lattices.

(a) Show that a base-centered (C) tetragonal lattice is equivalent to a primitive (P) tetragonal lattice.

(b) Show that a face-centered (F) tetragonal lattice is equivalent to a body-centered (I) tetragonal lattice.