(9) [Inorganic] CaCO3 has three different crystalline or polymorphic forms: Calcite space group R3-c, Aragonite space group Pmcn and Vaterite space group P63/mmc. Investigate which crystal lattices these groups belong to, and what their differences consist of. Would they have the same X-ray diffraction pattern?

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A: The differences are as follows:

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