A piezoelectric actuator is being produced for a scanning tunneling microscope. The piezoelectric actuator is to be 1×10-3 m in length and produced from barium titanate, which has a dielectric breakdown strength of 6×106 V/m. The piezoelectric strain coefficient of the barium titanate is 1.9×10-10 m/V. Assume that the maximum electric field that can be applied to the piezoelectric material is 1×106 V/m.
(a) What is the required voltage to produce an atomic-scale displacement of 0.1 nm?
(b) What is the displacement produced by 1000 V?
(c) With 1000 V applied, is the piezoelectric safe from dielectric breakdown?
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