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Updated: Nov 18, 2025

Measuring Magnetically-Tuned Ferroelectric Polarization in Liquid Crystals
Published on: August 15, 2018
From the dipole of a crystallite to the polarization of a crystal
1Istituto Officina dei Materiali IOM-CNR, Strada Costiera 11, 34151 Trieste, Italy and Donostia International Physics Center, 20018 San Sebastián, Spain.
Abstract:
The quantum-mechanical expression for the polarization of a crystalline solid does not bear any resemblance to the (trivial) expression for the dipole of a bounded crystallite; in fact, it has been proved via a conceptually different path. Here, I show how to alternatively define the dipole of a bounded sample in a somewhat unconventional way; from such a formula, the crystalline polarization formula-as routinely implemented in electronic-structure codes-follows almost seamlessly.
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