Ferro electric behavior of solids, Physics

Assignment Help:

In physics, the dielectric material such as Rochelle salt and barium Titan ate with a domain structure containing dipoles (a symmetric distributions of electrical charge) which spontaneously align. If the centre of the gravity of the positive and negative charges in a body does not coincide in the absence of an applied electric field, the substance is called Ferro Electric.

 

Ferroelectric crystals often show several curie points and domain structure hysteresis much as do ferromagnetic crystal. When the temperature exceeds a certain value called the curie point, the substance losses its Ferro electric properties. Above the curie point the formation of small regions-domains-is disrupted by thermal agitation and the permittivity is reduced to the usual small value. Below the Curie point, the whole crystal becomes spontaneously polarized. Examples of Ferro electric materials are Rochelle salt, Potassium dihydrogen phosphate and its isomorphous salts and Barium Titanate.The Curie point for Rochelle salt is about 24degreeC and this substance has a very narrow temperature range of about 40degreeC within which it is ferroelectric.

The Curie point for Barium Titanate is 130degreeC above approximately 130degreeC the crystal structure of Barium Titanate has cubic unit cell. The centre of the mass of the negative charges and the positive charges, Ba2+ and Ti4+ ion. There is therefore no net polarization and p=0. Above 130degreeC, therefore, the barium titanate crystal exhibits no permanent polarization and is not ferroelectric. However, below 130degreeC, the structure of barium titanate is tetragonal in which the Ti4+ atom is not located at the centre of mass of the negative and positive charges. The crystal posses a finite polarization vector P and is ferroelectric.

An important and technologically useful characteristic of a ferroelectric crystal is its ability to be poled. Above 130degreeC there is no permanent polarization in the crystal. If we apply a temporary field E and let the crystal cool to below 130degreeC, we can induce the spontaneous polarization P to develop along the field direction. In other words, we would define the c axis is the polar axis along which P develops. It is also called the ferroelectric axis. Ferroelectrics often have very large dielectric constants, and thus are often used as the dielectric material in capacitors. They also often have unusually large nonlinear optical coefficients.

There are two main types of ferroelectrics: displacive and order-disorder. The effect in barium titanate, a typical ferroelectric of the 'Displacive Type' is due to a polarization catastrophe, in which, if an ion displaced from equilibrium slightly, the force from the local electric fields due to the ions in the crystal increase faster than the elastic restoring forces. This leads to a symmetrical shift in the equilibrium ion positions and hence to a permanent dipole moment. In an order-disorder ferroelectric, there is a dipole moment in each unit cell, but at high temperatures they are pointing in random directions. On lowering the temperature and moving through the phase transition, the dipoles order, all pointing in the similar direction in a domain.


Related Discussions:- Ferro electric behavior of solids

Refractive index, refractive index of the transparent liquids using prism a...

refractive index of the transparent liquids using prism and spectrometer

What happens to the water level as the ice melts, As ice floats in water, a...

As ice floats in water, about 10% of the ice floats above the surface of the water. If we float some ice in a glass of water, what happens to the water level as the ice melts? M

Explain moseleys law, What do you mean by Moseley's law? Explain briefly it...

What do you mean by Moseley's law? Explain briefly its importance. Explain the origin of X-ray spectra. Describe continuous and characteristic x-ray spectrum.

De-broglie wavelength, According to de-Broglie theory, the wavelength of de...

According to de-Broglie theory, the wavelength of de-Broglie wave is given by Where h = Plank's constant, m = Mass of the particle, v = Speed of the particle, E = Energy of

Electric potential of a solid object, Which statement concerning the electr...

Which statement concerning the electric potential of a solid object made out of a perfectly conducting medium is most correct? Answer: It is the electric field which is z

Explain stator, STATOR:   It is made up of a number of stampings which are ...

STATOR:   It is made up of a number of stampings which are slotted to be given windings. The stator carries 3φ windings and is fed from 3φ supply. It will be for a exact number of

Stern-gerlach experiment, Stern-Gerlach experiment (O. Stern, W. Gerlach; 1...

Stern-Gerlach experiment (O. Stern, W. Gerlach; 1922): An experiment which demonstrates the features of spin (intrinsic angular momentum) as a different entity in spite of orb

Why does a glass filled with water shatter, Why does a glass filled with wa...

Why does a glass filled with water shatter when you run your finger along the rim of the glass? A piece of crystal stemware has a natural or resonant frequency that can be exc

Free fall , wrench from the top of an 80 m high tower what is the velocity ...

wrench from the top of an 80 m high tower what is the velocity of the wrench when it strikes the ground?

Reflection of a pulse at a free end, Reflection of a Pulse at a Free End ...

Reflection of a Pulse at a Free End Let's assume a pulse moving by a medium - perhaps by a rope or a slinky. What happens to the pulse while it reaches the end of in which medi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd