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

Spark suppression, Spark suppression: If we consider a circuit with a l...

Spark suppression: If we consider a circuit with a large inductance, possibly one using a magnetic relay. At the instant the switch is opened, the current through the coil is

Describe working of heat engine, Describe working of Heat engine Heat ...

Describe working of Heat engine Heat engine is a device by which a system is made to undergo a cyclic process that results in conversion of heat to work.  * It having of a

Inductance, Inductance is the circuit parameter to describe an inductor. It...

Inductance is the circuit parameter to describe an inductor. It is an effect which results from the magnetic field that forms around a current carrying conductor. Inductance is sym

How many bullets can he fire per second at the most?, A machine gun fires a...

A machine gun fires a bullet of mass 40 g with a velocity 1200 m/s  The man holding it, can exert .  a maximum force of 144 N on the gun. How many bullets can he fire per second at

1 farad, 1 Farad: One farad is described as the capacity of that capaci...

1 Farad: One farad is described as the capacity of that capacitor which keeps a charge of 1 coulumb, if the potential difference among the plates is one volt. It's equation

Illustrate the term temperature sensor, Illustrate the term temperature sen...

Illustrate the term temperature sensor? Temperature sensor: Bimetal coated onto the tip of fiber. When temperature increases the bimetal bends because of difference within t

Tunnels through the earth, Q. Tunnels through the Earth Assume a straig...

Q. Tunnels through the Earth Assume a straight tunnel is cut from the surface of the earth to the opposite side through the centre. The object is going down the tunnel and a

Find the separation among the second bright fringe, Q. Two slits 0.3 mm sep...

Q. Two slits 0.3 mm separately are illuminated by light of wavelength 4500 0A. The screen is placed at a distance 1m from the slits. Find the separation among the second bright fri

Cosmic censorship conjecture, Cosmic censorship conjecture (R. Penrose, 197...

Cosmic censorship conjecture (R. Penrose, 1979) The conjecture, so far completely undemonstrated in the context of general relativity, that all singularities (along the possib

Determine displacement current, Show that the displacement current flowing ...

Show that the displacement current flowing between the two plaes of the capacitor is similar to the conduction current utilized in charging the capacitor.

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