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

Instantaneous angular acceleration, Concurrent angular acceleration means a...

Concurrent angular acceleration means angular acceleration at a particular dot instant at t = t 1 mathematically it is given as,

How can light be classify in simplest form, How can light be classify in si...

How can light be classify in simplest form? Answer:- The common description of light (visible) is electromagnetic radiation visible to the human eye. It is only a little p

Determine electric field inside the capacitor, A constant potential differe...

A constant potential difference is applied across the plates of a parallel-plate capacitor. Neglecting any edge effects, the electric field inside the capacitor is: a) constan

Why does sun seems flat during sunrise and sunset, Q. Why does sun seems fl...

Q. Why does sun seems flat during sunrise and sunset? Answer:- The sun rays have to move through a larger atmospheric distance. The majority of the blue light and shorter

Vibrational modes of carbon dioxide molecule representation, How are vibrat...

How are vibrational modes of carbon dioxide molecule represented? Generally the modes are represented through three integers (mnq): a. (moo) represents Symmetric stretching

What is index fiber, What is index fiber? How you define the modes in an op...

What is index fiber? How you define the modes in an optical fiber? Give a relation between core diameter and numerical aperture. Ans.:  The index profile of a single mode fi

What is the magnitude of the northward acceleration, A man exerts a northwa...

A man exerts a northward force of 100 newtons on a 50 kilogram box which sits on a level floor. If the frictional force is 80 newtons. What is the magnitude of the northward

Explain cross belts, Using cross belts cross the belt on the spool pull...

Using cross belts cross the belt on the spool pulleys used in C 1 above and turn one of the pulleys. Note that they now turn in opposite directions.

Derive a mathematical expression for lateral shift, What do you mean by lat...

What do you mean by lateral shift? Derive a mathematical expression for lateral shift produced by a parallel sided glass slab for oblique incidence.

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