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1. Generally, there are 230 space groups among which 32 crystalline classes can be found in crystals. There are 21 non-centrosymmetric classes, within which 20 are piezoelectric. Among the piezoelectric classes, 10 have a spontaneous electric polarization, that varies with the temperature, therefore they are pyroelectric. Among pyroelectric materials, some of them are ferroelectric. (http://en.wikipedia.org/wiki/Ferroelectricity)
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3. ¡°Ferroelectrics must crystallize in one of the ten polar points groups (C1, Cs, C2, C2v, C3, C3v, C4, C4v, C6, C6v) in theferroelectric phase (below Curie temperature Tc)¡±¡£(Angew. Chem. Int. Ed. 2014, 53, 6724-6729)
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10 have a spontaneous electric polarization
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