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

Factors affecting velocity of sound in gaseous medium, Factors which are af...

Factors which are affect velocity of sound in gaseous medium is (1) Effect of density (2) Effect of pressure (3) Effect of temperature :      (4) Effect of humidity

Optics, when dispersion is happening from a prism, the colors are separated...

when dispersion is happening from a prism, the colors are separated out. do each of these colors move with different velocities to keep frequency constant? practically is it possib

Object image relationships, Object-Image Relationships Ray tracing for ...

Object-Image Relationships Ray tracing for a thin lens showing the formation of a real image of an object.

Determine the final velocity, A charge q of mass m starting from rest is al...

A charge q of mass m starting from rest is allowed to move between two plates having a potential difference of V volt. Determine the final velocity of it? Repulsion is the sure

Cosmic censorship conjecture, Cosmic censorship conjecture (R. Penrose, 197...

Cosmic censorship conjecture (R. Penrose, 1979) The conjecture, so far completely undemonstrated in the context of general relativity, that all singularities (along the possib

Circular motion, In an amusement park ride called The Roundup, passengers s...

In an amusement park ride called The Roundup, passengers stand inside a 19.0 -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane.

Explain about the dispersion in optical fibres, Explain about the dispersio...

Explain about the dispersion in optical fibres. Dispersion in optical fibres: Into optical fibers, temporal distribution of optical pulses because of dispersion will lead to

Explain the conservation of momentum, Explain the Conservation of Momentum ...

Explain the Conservation of Momentum In a collision, energy is not all time conserved, if not the collision is totally elastic  (all stored energy is turned into kinetic energy

lens maker equation, what is the physics principle involved in the lens ma...

what is the physics principle involved in the lens maker equation

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