physics

Ferroelectrics & Piezoelectric Materials

Polarization hysteresis, piezoelectric coupling, Curie transitions, domain wall dynamics, and vibration energy harvesting — the physics of materials that convert between mechanical and electrical energy.

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Ferroelectric materials possess a spontaneous electric polarization that can be reversed by an external electric field. This switchable polarization underlies a vast family of technologies — from ultrasound transducers and inkjet printheads to non-volatile memory and precision actuators. The piezoelectric effect, where mechanical stress produces voltage and vice versa, is the workhorse mechanism connecting these materials to the engineering world.

These simulations let you trace the classic P-E hysteresis loop, compute piezoelectric coefficients and electromechanical coupling, observe the ferroelectric-to-paraelectric phase transition at the Curie temperature, watch 180-degree and 90-degree domain walls sweep through a crystal, and design a vibration energy harvester that converts ambient motion into usable electrical power.

5 interactive simulations

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Ferroelectric-Paraelectric Phase Transition

Visualize the Curie transition where a ferroelectric loses its spontaneous polarization and becomes paraelectric above the Curie temperature

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180 and 90 Degree Domain Wall Motion

Watch ferroelectric domains switch under an applied electric field — visualize 180-degree and 90-degree domain wall motion in real time

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Piezoelectric Vibration Energy Harvester

Design a piezoelectric cantilever energy harvester — tune frequency, load resistance, and material properties to maximize power output from ambient vibrations

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Polarization-Electric Field Hysteresis Loop

Trace the classic P-E hysteresis loop of a ferroelectric material and extract remnant polarization, coercive field, and saturation polarization

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Piezoelectric d33 & Coupling Factor

Calculate the piezoelectric charge coefficient d33 and electromechanical coupling factor k for various ferroelectric materials