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|Author(s):||Takeshi Nishimatsu; U Waghmare; Yoshiyuki Kawazoe; Benjamin P. Burton; Kazutaka Nagao; N. Saito;|
|Title:||Ferroics: Magnetic-Compass Lattice and Optical Phonon Dispersions of Dipolar Crystals|
|Abstract:||We report a simple safe and attractive pedagogic demonstration with magnetic compasses that facilitates an intuitive understanding of the concept that ferromagnetism and ferroelectricity do not result from dipole-dipole interactions alone. Phonon dispersion relations were calculated for a 3-dimensional simple-cubic dipole crystal and a 2-dimensional square-lattice dipole crystal. The latter calculation corresponds to the compass demonstration that confirm the antiferro ground state structure. A sum rule for the three optical phonon frequencies is discussed. A mathematical non-analyticity in the longitudinal optical phonon are also illustrated.|
|Citation:||American Journal of Physics|
|Research Areas:||Characterization, Ceramics|