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

Derive the mathematical expression for refractive index, Derive the mathema...

Derive the mathematical expression for refractive index in terms of the angle of the prism and angle of minimum deviation.

What is a capacitor, Q. What is a capacitor? Define: capacitance. i) A...

Q. What is a capacitor? Define: capacitance. i) A capacitor is a apparatus for storing electric charges. ii) The capacitance of a conductor is defined like the ratio of the

Determine mutual inductive effects among two inductances, Three impedances ...

Three impedances are connected in series across a 100V, 2kHz supply. The impedances comprise: (i) An inductance of 0.45mH and 2 resistance, (ii) An inductance of 570µH a

What is sclera, Sclera: It is an outer most, thick, impermeable to ligh...

Sclera: It is an outer most, thick, impermeable to light. It is more convex and it's front part is transparent is known as Cornea.

Cylinder and sphere rolled toward a ramp, Q. Hoop, Disk, Cylinder and Spher...

Q. Hoop, Disk, Cylinder and Sphere A disk, a hoop a cylinder and a sphere have the same mass and the same diameter. Every is rolled toward a ramp with the same initial velocity

What do you mean by sound absorber, What do you understand by reverberation...

What do you understand by reverberation time an auditorium What do you mean by sound absorber. Give two examples for good absorbers.

Component addition of vector, Component Addition of vector We learned i...

Component Addition of vector We learned in which vectors oriented at right angles to one another could be added together by using the Pythagorean Theorem. For example, two disp

What is fundamental units, The physical value which does not depend on any ...

The physical value which does not depend on any other physical quantity is known as a fundamental physical quantity like length; mass and time are known as fundamental units.

Radiography and depletion of ozone layer, Radiography and depletion of Ozon...

Radiography and depletion of Ozone layer: What is Radiography?  A. The method in which soft X-rays are used in medical diagnosis is called radiography. What are the uses

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