A domain average engineered sample of a multidomain ferroic consists of a very large number of crystalline domains, representing m domain states. m is less than the theoretically allowed maximum number n of domain states. The symmetry of such an engineered sample is shown to be the symmetry of a composite and consequently the concept of latent symmetry, which has explained unexpected symmetries of composites of geometrically shaped objects, can give rise to unexpected symmetries of domain average engineered ferroics. Two theorems of Vlachavas (Acta Cryst., A40 213-221 (1984)) on the symmetry of composites, by not considering the possibility of latent symmetry, are shown to be invalid.
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics