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Piezoelectricity describes the linear relationship between mechanical and electrical fields in certain materials. The direct piezoelectric effect was discovered in 1880 and refers to an electric field or displacement generated by mechanical stress or strain. The converse effect, predicted in 1881, refers to mechanical strain or stress generated by an electric field or charge. Thermodynamics is used to formally derive the piezoelectric effect, relating changes in internal energy to changes in strain, electri
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