Piezoelectricity of Quartz for Finite Strain
- 1 July 1961
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 32 (7) , 1387-1391
- https://doi.org/10.1063/1.1736240
Abstract
In order to obtain an estimate of the maximum piezoelectric polarization possible for alpha quartz, the principal piezoelectric coefficient is calculated on the basis of a hard‐sphere, rigid‐ion model. The result, obtained by purely geometrical reasoning (including an ad hoc geometrical constraint), fits the measured value of e11 with an ``effective ionic charge'' of one‐sixth the free ionic charge. Extension of the calculation to finite compressive strain yields a maximum polarization of 3.4 μcoul/cm2 at a 34% strain. (Compare with e11=16.7 μcoul/cm2 per unit strain.) For higher strains the polarization drops off rapidly, but the model becomes inconsistent for strains greater than 43%. A test for more general validity of the model, by obtaining directly the ratio of the two independent piezoelectric coefficients, e14/e11, yields seven times the measured ratio.This publication has 4 references indexed in Scilit:
- Determination of the Absolute Configuration of α-QuartzNature, 1958
- Piezoelectricity, ferroelectricity, and crystal structureThe European Physical Journal A, 1952
- Structure of α quartzProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1926
- XXXIII. On the piezo-electric property of quartzJournal of Computers in Education, 1893