The ceramic, zirconia (ZrO2), may exist as one of three polymorphs with the structures having space groupsymbols, P42/nmc (#137), P21/c (#14) and Fm-3m (#225).(i) Explain, in detail, what information does this give regarding the lattice type and important symmetry operations present in these crystal structures. Clearly, describe each symmetry opera

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The ceramic, zirconia (ZrO2), may exist as one of three polymorphs with the structures having space groupsymbols, P42/nmc (#137), P21/c (#14) and Fm-3m (#225).(i) Explain, in detail, what information does this give regarding the lattice type and important symmetry operations present in these crystal structures. Clearly, describe each symmetry operation.  (ii) Determine the point group for each phase and hence the crystal system.

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