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Converting Mechanical Energy into an Electrostatic Potential 

To understand how crystal deformation can cause an electrical potential & why this is useful to us, we'll first need to cover some basic topics.

The first concept to understand is electrostatic charges & potentials. While complicated sounding, it's a concept that's actually rather intuitive. At some point in everyone's high school career, it is taught that some objects have positive charges and some objects have negative charges. The objects of interest to us are the atoms inside of a crystal (we will focus on the quartz crystal (SiO₂) since it is the most widely used piezoelectric material). In this case, the silicon atoms have a slight negative charge while the oxygen atoms have a slight positive charge. An electrostatic potential is simply a fancy way of saying voltage, which can occur when there are differing charges that are separated from each other (like the positive oxygen atoms being next to the negative silicon atoms).

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The next concept to understand is what a crystal lattice is, and how they enable the piezoelectric effect. A crystal lattice forms in certain types of compounds whose atoms arrange themselves in particular ways (the types of compounds that form crystal lattices depend on the molecular bonds between the atoms). In the case of quartz, and specifically for the piezoelectric effect to work, silicon and oxygen atoms form repeating patterns of hexagonal "unit cells" in which silicon atoms directly oppose oxygen atoms.

With this knowledge we can now dive into how the piezoelectric effect happens on an atomic level.

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Pushing on a quartz crystal will physically deform the crystal lattice in such a way that the center of charge for each respective atom (that is, where the mean point of positive/negative charge is within the unit cell) will begin to separate from each other. This separation of charges is what causes a voltage to be formed, and when scaled up to an entire crystal the potential difference can be quite impressive!

Before we dive into modern implementations of the piezoelectric effect, we first need to briefly touch on resonant frequencies. An object's resonant frequency is the frequency (oscillations per second) that it will vibrate at when certain forces are applied to it. We have the ability to change objects' resonant frequencies by adding or subtracting mass, which decreases or increases the resonant frequency respectively.

One very important quality about the piezoelectric effect to know is that it is reversible. This means that you can both deform the crystal to get a voltage, or apply a voltage to the crystal to deform it. With that in mind, here are some modern implementations of the piezoelectric effect:

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To learn more about piezoelectricity, check out the video below.

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Made by Jacob Torres
Last Revision: Nov. 22nd, 2019
Class: Physics 213 (Fall 2019)

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