Consider the ionic solid AxBy, which has the unit cell below. The B ions are packed in a cubic arrangement, where each face has this structure:
There is one B in the center of the cube. The structure can also be described in terms of three parallel planes of B’s of the type shown above. The resulting structure thus contains eight intersecting cubes of B’s. The A ions are found in the centers of alternate intersecting cubes (that is, four of every eight cubes have A’s in the center). What is the formula of AxBy? In the extended structure, how many B’s surround each A? What structure do the B’s form?
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