Barium titanate (BaTiO3) is an ionic solid with a density of 6.02 g/cm3. Its structure is described by orthogonal basis vectors (i.e. at 90 degrees to each other) with lattice parameters of a = b = 0.3992 nm and c = 0.4036 nm. a) What crystal system does barium titanate belong to, based on the above information? Explain your answer. b) Find the number of Ba, O, and Ti atoms per cubic centimeter in barium titanate (i.e. provide a value for each element). c) Sketch and label the (111) plane of BaTiO3 with its atoms and dimensions.

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Barium titanate (BaTiO3) is an ionic solid with a density of 6.02 g/cm3. Its structure is described by orthogonal basis vectors (i.e. at 90 degrees to each other) with lattice parameters of a = b = 0.3992 nm and c = 0.4036 nm.
a) What crystal system does barium titanate belong to, based on the above information?
Explain your answer.

b) Find the number of Ba, O, and Ti atoms per cubic centimeter in barium titanate (i.e.
provide a value for each element).

c) Sketch and label the (111) plane of BaTiO3 with its atoms and dimensions.

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