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. Gupta Department of Applied Mechanics, IIT Delhi The three Bravais lattices in the cubic crystal system have the same rotational symmetry but different translational symmetry. Simple cubic Primitive cubic Cubic P Bodycentred cubic Cubic I Facecentred cubic Cubic F Shiv K. Gupta Department of Applied Mechanics, IIT Delhi Symmetry classification of lattices Based on rotational and reflection symmetry alone ? 7 types of lattices ? 7 crystal systems Based on plete symmetry, ., rotational, reflection and translational symmetry ? 14 types of lattices ? 14 Bravais lattices Shiv K. Gupta Department of Applied Mechanics, IIT Delhi Notation P: Primitive (lattice points only at the corners of the unit cell) I: Bodycentred (lattice points at the corners + one lattice point at the centre of the unit cell) F: Facecentred (lattice points at the corners + lattice points at centres of all faces of the unit cell) C: Endcentred or basecentred (lattice points at the corners + two lattice points at the centres of a pair of opposite faces) Shiv K. Gupta Department of Applied Mechanics, IIT Delhi PEROVSKITE STRUCTURE ? Formula unit – ABO3 ?CCP of A atoms(bigger) at the corners ? O atoms at the face centers ? B atoms(smaller) at the bodycenter