# Pyroelectricity

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Pyroelectricity (from the Greek pyr, fire, and electricity) is the ability of certain materials to generate a temporary electrical potential when they are heated or cooled. The change in temperature slightly modifies the positions of the atoms within the crystal structure, such that the polarization of the material changes. This polarization change gives rise to a temporary electric potential, although this disappears after the dielectric relaxation time.[1]

Pyroelectricity should not be confused with thermoelectricity, where a fixed, non-uniform temperature profile gives rise to a permanent electrical potential difference.

## Explanation Edit

Pyroelectricity can be visualized as one side of a triangle, where each corner represents energy states in the crystal: kinetic, electrical and thermal energy. The side between electrical and thermal corners represents the pyroelectric effect and produces no kinetic energy. The side between kinetic and electrical corners represents the piezoelectric effect and produces no heat.

Although artificial pyroelectric materials have been engineered, the effect was first discovered in minerals such as quartz and tourmaline and other ionic crystals. The pyroelectric effect is also present in both bone and tendon.

Pyroelectric charge in minerals develops on the opposite faces of asymmetric crystals. The direction in which the propagation of the charge tends toward is usually constant throughout a pyroelectric material, but in some materials this direction can be changed by a nearby electric field. These materials are said to exhibit ferroelectricity. All pyroelectric materials are also piezoelectric, the two properties being closely related.

Very small changes in temperature can produce an electric potential due to a materials' pyroelectricity. Passive infrared sensors are often designed around pyroelectric materials, as the heat of a human or animal from several feet away is enough to generate a difference in charge.

## History Edit

The first reference to the pyroelectric effect is in writings by Theophrastus in 314 BC, who noted that tourmaline attracted bits of straw and ash when heated. Tourmaline's properties were rediscovered in 1707 by Johann Georg Schmidt, who also noted the attractive properties of the mineral when heated. Pyroelectricity was first described -- although not named as such -- by Louis Lemery in 1717. In 1747 Linnaeus first related the phenomenon to electricity, although this was not proven until 1756 by Franz Ulrich Theodor Aepinus.

Research in pyroelectricity became more sophisticated in the 19th century. In 1824 Sir David Brewster gave the effect the name it has today. Both William Thomson in 1878 and Woldemar Voigt in 1897 helped develop a theory for the processes behind pyroelectricity. Pierre Curie and his brother, Jacques Curie, studied pyroelectricity in the 1880s, leading to their discovery of some of the mechanisms behind piezoelectricity.

## The pyroelectric crystal classesEdit

Crystal structures can be divided into 32 classes, or point groups, according to the number of rotational axes and reflection planes they exhibit that leave the pyroelectric crystal structure unchanged. Of the thirty-two crystal classes, twenty-one are non-centrosymmetric (not having a centre of symmetry). Of these twenty-one, twenty exhibit direct piezoelectricity, the remaining one being the cubic class 432. Ten of these twenty piezoelectric classes are polar, i.e., they possess a spontaneous polarization, having a dipole in their unit cell, and exhibit pyroelectricity. If this dipole can be reversed by the application of an electric field, the material is said to be ferroelectric. Any dielectric material develops a dielectric polarization (electrostatics) when an electric field is applied, but a substance which has such a natural charge separation even in the absence of a field is called a polar material. Whether or not a material is polar is determined solely by its crystal structure. Only 10 of the 32 point groups are polar. All polar crystals are pyroelectric, so the 10 polar crystal classes are sometimes referred to as the pyroelectric classes.

Piezoelectric crystal classes: 1, 2, m, 222, mm2, 4, -4, 422, 4mm, -42m, 3, 32, 3m, 6, -6, 622, 6mm, -62m, 23, -43m

Pyroelectric: 1, 2, m, mm2, 3, 3m, 4, 4mm, 6, 6mm

The property of pyroelectricity is the measured change in net polarization (a vector) proportional to a change in temperature. The total pyroelectric coefficient measured at constant stress is the sum of the pyroelectric coefficients at constant strain (primary pyroelectric effect) and the piezoelectric contribution from thermal expansion (secondary pyroelectric effect). Under normal circumstances, even polar materials do not display a net dipole moment. As a consequence there are no electric dipole equivalents of bar magnets because the intrinsic dipole moment is neutralized by "free" electric charge that builds up on the surface by internal conduction or from the ambient atmosphere. Polar crystals only reveal their nature when perturbed in some fashion that momentarily upsets the balance with the compensating surface charge.

## Recent developments Edit

Progress has been made in creating artificial pyroelectric materials, usually in the form of a thin film, out of gallium nitride (GaN), caesium nitrate (CsNO3), polyvinyl fluorides, derivatives of phenylpyrazine, and cobalt phthalocyanine. (See pyroelectric crystals.) Lithium tantalate (LiTaO3) is a crystal exhibiting both piezoelectric and pyroelectric properties, which has been used to create small-scale nuclear fusion ("pyroelectric fusion"). [1]

## Mathematical description Edit

The pyroelectric coefficient may be described as the change in the spontaneous polarization vector with temperature [2]:

$p_i = \frac{\partial P_{S,i}} {\partial T}$

where pi (Cm-2K-1) is the vector for the pyroelectric coefficient.

## References Edit

1. Strictly speaking, the electric potential difference across the crystal may not go to zero; however, the electrochemical potential difference does. The electrochemical potential difference is what is actually measured by a voltmeter (due to the phenomenon of contact potentials), and what is necessary to perform work.
2. Damjanovic, Dragan, 1998, Ferroelectric, dielectric and piezoelectric properties of ferroelectric thin films and ceramics, Rep. Prog. Phys. 61, 1267–1324.
• Lang, Sidney B., 2005, "Pyroelectricity: From Ancient Curiosity to Modern Imaging Tool," Physics Today, Vol 58, p.31 [2]
• Gautschi, Gustav, 2002, Piezoelectric Sensorics, Springer, ISBN 3540422595 [3]