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

Explain noise, Noise: An undesirable and unpleasant sound that makes ha...

Noise: An undesirable and unpleasant sound that makes harmful effects on our auditory system is known as noise.

Charging a capacitor, Charging a capacitor: In the diagram below, all o...

Charging a capacitor: In the diagram below, all of the resistance in the circuit is added together and shown as a single value R. With S 1 closed and S 2 open, the ca

Determine the velocity of sound in sea water, An undersea explosion occurs...

An undersea explosion occurs. If the sea water has density 1.03 x 10 3 kg/m3 and Bulk Modulus of 2.41x10 9 Nm -2 ; a)  Determine the velocity of sound in sea water b)  If

What is addition reaction, When atoms (or) group of atoms are added, to for...

When atoms (or) group of atoms are added, to form more saturated compound it is known as addition reaction.

What do you mean by a zener diode, Illustrate the operation of NOT gate an...

Illustrate the operation of NOT gate and also provide its truth table. What do you mean by a Zener diode? Illustrate how it is used as voltage regulator.

Determine path difference between two light rays, Two light rays will inter...

Two light rays will interfere constructively with maximum amplitude if the path difference between them is: a) one wavelength b) one-half wavelength c) one-qua

Detremine the phase and line currents, Three coils each having resistance ...

Three coils each having resistance 3 Ω and inductive reactance 4Ω are linked (i) instar and (ii) in delta to a 415V, 3-phase supply. Calculate for each connection (a)

Electricmotor, im trying to build an electric motor and would like to know ...

im trying to build an electric motor and would like to know y they wind there copper wire in what paturn to make power and secondly what is the output per gram of copper in these t

Explain the vector addition of velocity, Explain the Vector Addition of Vel...

Explain the Vector Addition of Velocity Of course the velocity is relative to how you indicate the position d. If you are moving in water that is itself moving, then your full

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