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

Series combination of two capacitors, A 12 volt battery is associated acros...

A 12 volt battery is associated across a series combination of two capacitors C1 and C2. The capacitance of C2 is double that of C1.

Michelson interferometer., why michelson interferometer is called interferr...

why michelson interferometer is called interferrometer

Entropy, How to calculate change in entropy.

How to calculate change in entropy.

Estimate ground level no concentration, A stack emitting 85 g/s of NO has a...

A stack emitting 85 g/s of NO has an effective stack height of 100 m. The wind speed is 3 m/s at 10 m, and it is a cloudy summer day.  Estimate ground level NO concentration:

Kelvin effect, Thomson experiment; Kelvin effect (Sir W. Thomson [later Lor...

Thomson experiment; Kelvin effect (Sir W. Thomson [later Lord Kelvin]): While an electric current pass through a conductor whose ends are maintained at distinct temperatures,

Freely suspended charged particle, To free a charged a particle freely in a...

To free a charged a particle freely in air under the persuade of electric field its downward weight should be balanced by upward electric force for instance if a positive charge is

Angle, what is azimuth angle?

what is azimuth angle?

What is action of points - corona discharge, Q. What is action of points (c...

Q. What is action of points (corona discharge)? What is its use? The seep out of electric charges from the sharp points on the charged conductor is known as action of points o

Direction of acceleration and velocity, Direction of Acceleration and Veloc...

Direction of Acceleration and Velocity Knowing the size of a distance or speed is frequently meaningful for creating comparisons. For example, for some reasons it may be enough

Dirac constant, Dirac constant; Planck constant, modified form; hbar A ...

Dirac constant; Planck constant, modified form; hbar A sometimes more convenient form of the Planck constant, explained as hbar = h/(2 pi).

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