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BaTiO3 crystallizes in the perovskite structure. …

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BaTiO3 crystallizes in the perovskite structure. This structure may be described as a cubic lattice, with barium ions occupying the corners of the unit cell, oxide ions occupying the face centers and titanium ions occupying the centers of the unit cells, (a) If titanium is described as occupying holes in the Ba-O lattice, what type of hole does it occupy? (b) What fraction of the holes of this type does it occupy? (c) Can you suggest a reason why it occupies certain holes of this type but not the other holes of the same type?
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