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

State about the term- voltage gain, Determine voltage gain for the circuit...

Determine voltage gain for the circuit shown in figure below, with R F = 100K ? and R 1 =10 K?   Ans. Determination of voltage gain: The provided operational

Vectors and 3 Dimensional Forces, 5 example of Classification and 5 types o...

5 example of Classification and 5 types of Vectors and 3 Dimensional Forces

Get an expression for work done, Get an expression for work done during rev...

Get an expression for work done during reversible isothermal expansion. Get the terms open, isolated and closed system. Give examples.

How is polymer fibers terminated, How is polymer fibers terminated? PMM...

How is polymer fibers terminated? PMMA fiber single ends can be of some types always depending upon the nature of the conductor and the last application. A Simply cut fiber wit

Explain squirrel- cage rotor, Explain Squirrel- cage rotor Squirrel- ca...

Explain Squirrel- cage rotor Squirrel- cage rotor having of a slotted laminated core of sheet-steel. The slots of the rotor are not always parallel to the slots on the stator,

Does sunlight reflected off a mirror raise, Q. Does sunlight reflected off ...

Q. Does sunlight reflected off a mirror raise the temperature of the sun-rays? Answer:- A standard planar mirror will not raise the energy contained in the rays that refle

Minimum amount of light for low vision, Minimum amount of light for low vis...

Minimum amount of light for low vision If 90 photons enter the eye ,10 or less are actually absorbed in photoreceptors. About 3% are reflected at the surface of the corne

Grating, plane transmission grating

plane transmission grating

What is the range of the angles of the incident rays, Q . Figure shows acro...

Q . Figure shows across (b)What is the answer if there is no outer covering of the pipe? Answer Reflection, r max = 90 0 -i=90 0 -59 0 =310     Let, i max  b

Logic gates, working project related to logic gates

working project related to logic gates

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