Dielectric and Ferroelectric material, Slides of Material Science and Technology

It gives basic knowledge of Dielectric and Ferroelectric materials

Typology: Slides

2019/2020

Uploaded on 09/02/2020

Sarvesh98765s
Sarvesh98765s šŸ‡®šŸ‡³

3 documents

1 / 41

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
P.Ravindran, PHY085 –Properties of Materials, April 2014: Dielectric and Ferroelectric Properties of Materials
http://folk.uio.no/ravi/PMAT2013
Prof.P. Ravindran,
Department of Physics, Central University of Tamil
Nadu, India
Dielectric and Ferroelectric Properties of Materials 1
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f
pf20
pf21
pf22
pf23
pf24
pf25
pf26
pf27
pf28
pf29

Partial preview of the text

Download Dielectric and Ferroelectric material and more Slides Material Science and Technology in PDF only on Docsity!

http://folk.uio.no/ravi /PMAT

Prof.P. Ravindran,

Department of Physics, Central University of Tamil

Nadu, India

Dielectric and Ferroelectric Properties of Materials 1

Dielectric Materials

Dielectric means a non-conductor or poor conductor of electricity. Dielectric means a material that presents electric polarization. The dielectric is an insulating material or a very poor conductor of electric current. When dielectrics are placed in an electric field, practically no current flows in them because, unlike metals, they have no loosely bound, or free, electrons that may drift through the material. Instead, electric polarization occurs. The positive charges within the dielectric are displaced minutely in the direction of the electric field, and the negative charges are displaced minutely in the direction opposite to the electric field. This slight separation of charge, or polarization, reduces the electric field within the dielectric.

The resistivity of insulators is: 10 10  mļ

7 18

Polarization in dielectrics

 Capacitor – An electronic device, constructed from

alternating layers of a dielectric and a conductor, that is

capable of storing a charge. These can be single layer or

multi-layer devices.

 Permittivity - The ability of a material to polarize and store a

charge within it.

 Linear dielectrics - Materials in which the dielectric

polarization is linearly related to the electric field; the

dielectric constant is not dependent on the electric field.

 Dielectric strength - The maximum electric field that can be

maintained between two conductor plates without causing a

breakdown.

Dielectric strength

 Maximum electric field that an insulator can withstand

before it loses its insulating behavior

 Lower for ceramics than polymers

 Dielectric breakdown - avalanche breakdown or carrier

multiplication

Polarization mechanisms in materials:

(a) electronic,

(b) atomic or ionic,

(c) high-frequency dipolar or orientation (present in

ferroelectrics),

(d) low-frequency dipolar (present in linear dielectrics and

glasses),

(e) interfacial-space charge at electrodes, and

(f ) interfacial-space charge at heterogeneities such as grain

boundaries.

Dielectric Constant If you apply an electric field, E, across a material the charges in the material will respond in such a way as to reduce (shield) the field experienced within the material, D (electric displacement)

D = eE = e

0

E + P = e

0

E + e

0

c

e

E = e

0

(1+c

e

)E

where e 0 is the dielctric permitivity of free space (8.85 x 10 12 C 2 /N-m 2 ), P is the polarization of the material, and ce is the electric susceptibility. The relative permitivity or dielectric constant of a material is defined as:

e

r

= e/e

0

= 1+c

e When evaluating the dielectric properties of materials it is this quantity we will use to quantify the response of a material to an applied electric field.

Electronic Polarizability  Let’s limit our discussion to insulating extended solids. In the absence of charge carriers (ions or electrons) or molecules, we only need to consider the electronic and ionic polarizabilities. The presence of an electric field polarizes the electron distribution about an atom creating a dipole moment,

m =qx

The dipole moment per unit volume, P, is then given by

P = nm m

where nm is the number of atoms per unit volume.

  • q
  • q E without field with field (^) x

Frequency Dependence Reorientation of the dipoles in response to an electric field is characterized by a relaxation time, t. The relaxation time varies for each of the various contributions to the polarizability:

1. Electronic Polarizability ( a e) Response is fast, t is small 2. Ionic Polarizability ( a i) Response is slower 3. Dipolar Polarizability ( a d) Response is still slower 4. Space Charge Polarizability ( a s) Response is quite slow, t is large Audiofrequencies (~ 10 3 Hz) a = a e+ a i+ a d+ a s Radiofrequencies (~ 10 6 Hz) (a s ļ‚® 0) a = a e+ a i+ a d Microwave frequencies (~ 10 9 Hz) (a s, a d ļ‚® 0) a = a e+ a i Visible/UV frequencies (~ 10 12 Hz) (a s, a d, a i ļ‚® 0) a = a e

Frequency Dependence

e ( w )

eļ‚„

e 0

log ( w )

Microwaves

IR

UV

a d +a i +a e

a i +a e

a e only

tan d (Loss) e r (Dielectric Const.)

Ionic Polarization and Ferroelectricity Most dielectric materials are insulating (no conductivity of either electrons or ions) dense solids (no molecules that can reorient). Therefore, the polarizability must come from either ionic and electronic polarizability. Of these two ionic polarizability can make the largest contribution, particularly in a class of solids called ferroelectrics. The ionic polarizability will be large, and a ferroelectric material will result, when the following two conditions are met:

  1. Certain ions in the structure displace in response to the application of an external electric field. Typically this requires the presence of certain types of ions such as d 0 or s 2 p 0 cations.
  2. The displacements line up in the same direction (or at least they do not cancel out). This cannot happen if the crystal structure has an inversion center.
  3. The displacements do not disappear when the electric field is removed.

Ferroelectricity

 Ferroelectricity is an electrical phenomenon whereby

certain materials may exhibit a spontaneous dipole

moment, the direction of which can be switched between

equivalent states by the application of an external electric

field.

 The internal electric dipoles of a ferroelectric material are

physically tied to the material lattice so anything that

changes the physical lattice will change the strength of the

dipoles and cause a current to flow into or out of the

capacitor even without the presence of an external voltage

across the capacitor.

Ferroelectrics:

  • There is a class of materials which shows spontaneous polarization and for which the relation between P and E is non-linear. Such materials also exhibit Hysteresis.
  • These substances whose properties are similar to ferromagnetics in many respects are called Ferroelectrics. Spontaneous polarization is a function of temperature. Ps decreases with increase in temperature and vanishes at the curie temperature Tc.

Ferroelectricity  Two stimuli that will change the lattice dimensions of a material are force and temperature.  The generation of a current in response to the application of a force to a capacitor is called piezoelectricity.  The generation of current in response to a change in temperature is called pyroelectricity.

Ferroelectricity

 Placing a ferroelectric material between two conductive

plates creates a ferroelectric capacitor.

 Ferroelectric capacitors exhibit nonlinear properties and

usually have very high dielectric constants.

 The fact that the internal electric dipoles can be forced to

change their direction by the application of an external

voltage gives rise to hysteresis in the "polarization vs

voltage" property of the capacitor.

 Polarization is defined as the total charge stored on the

plates of the capacitor divided by the area of the plates.

 Hysteresis means memory and ferroelectric capacitors are

used to make ferroelectric RAM for computers and RFID

cards.