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1. Perovskite CaTiO3 problem a) Draw the simple cubic lattice for the perovskite structure. b) How many atoms, and how many lattice points are in

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1. Perovskite CaTiO3 problem a) Draw the simple cubic lattice for the perovskite structure. b) How many atoms, and how many lattice points are in a unit cell? c) Calculate reciprocal lattice vectors and draw reciprocal lattice. d) Sketch first and second Brillouin zones. e) Qualitatively, how might the shape of these Brillouin zones change if the structure were tetragonal

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