Piezoelectric effect
A piezoelectric substance is a crystalline mineral which responds to a mechanical force by generating an electric charge.
The substance may be considered as a lattice of electric dipoles, which together form a polarized field. When the field undergoes mechanical stress, the field changes its polarization, either through a physical reconfiguration of the dipole lattice or a re-orientation of the dipole moments under stress. This is the piezoelectric effect.
Piezoelectric material (1) before poling, (2) after poling. Adapted from source: http://www.physikinstrumente.com/tutorial/4_15.html
The piezoelectric effect is reciprocal, meaning: A) a piezoelectric substance will respond to a mechanical force by generating an electric charge, and; B) it will respond to an electric field by generating a mechanical response. This latter response is called the inverse piezoelectric effect.
The piezoelectric effect and its inverse are also proportional. The voltage generated by the piezoelectric effect is proportional to: A) the amount of force applied, and; B) the type of force applied (i.e. tension and compression produce opposite polarities). Likewise, the mechanical response of the inverse piezoelectric effect is proportional to: A) the field's strength, and; B) the field’s polarity.
The piezoelectric effect is passive, and requires no additional power other than the mechanical or electric stimulus.
Applications (Aleksi)
http://www.youtube.com/watch?v=fHp95e-CwWQ
Piezoelectric materials:
Nowadays for the Piezoelectric sensing are mostly used ceramics. The earliest one was Titanate. The three most popular piezoelectric materials are Zinc oxide (ZnO), Aluminum nitride (AIN) and lead-zirconite-titanium oxides what is known as PZT.
Piezoelectric materials are usually sensitive to temperature changes. For example quarts loose sensitivity if the temperature drops with a slope of -0,016%/Celsius. With PVCF films and materials the sensitivity changes when the temperature is on the higher or lower side of 40 Celsius.
Piezoelectric materials are usually generated from high-purity metal oxides in form of fine powder (lead oxide, titanium oxide etc.).The powder is calcinated and mixed in a right proportion. Then it is mixed with solid and/or liquid organic binders to make a so called "cake" and heated in a controlled temperature. The material is covered with contact electrodes and poled. After this the piezoelectric material is shaped to its final shape.
New materials:
- Single Crystals:
- magnesium niobate / lead titanate (PMN-PT)
- lead zirconate niobate / lead titanate (PZN-PT)
- lithium niobate (LiNbO3)
- lithium niobate with dopants
- lithium tetraborate (Li2B4O7)
- quartz
- barium titanate (BaTiO3)
- Relaxors:
- lead magnesium niobate
- lead magnesium niobate / lanthanum
- lead nickel niobate
Modeling piezoelectric sensing:
As earlier we determined how piezoelectric will work and here is explanation how to determine a g-coefficent:
Determining the coefficent a voltage gradient:
Determining other coefficent which h is determined:
Piezoelectrical phenomenon is said in other words that it changes mechanical energy into electrical energy
It can be determined as the following:
coupling coefficents kmn is:
The capacitance of piezoelectric can be determined by using the formula as below:
where a is area and l is the crystal thickness
At last the output voltage can be calculated such as:
References
http://www.piceramic.com/piezo_effect.php
https://www.americanpiezo.com/knowledge-center/piezo-theory/piezoelectricity.html
http://en.wikipedia.org/wiki/Piezoelectricity
Jacob Fraden: Handbook of Modern Sensors (Physics Designs and Applications), Fourth Edition, Springer