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JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ]
Properties of Solids
The three main properties of solids which depend upon their structure are-
 1. Electrical properties
 2. Magnetic properties
 3. Dielectric properties
1. Electrical Properties of Solids
Electrical
Conductivity
Electronic Conductivity
(Metallic Conductivity)
Due to the motion of
electrons
(n-type Conduction)
Due to the motion of
positive holes
(p-type Conduction)
Ionic Conductivity
Due to the
motion of ions
 Electrical conductivity of metal is due to
motion of electrons and it increases with
the number of electrons available to
participate in the conduction process.
 Pure ionic solids are insulators. But the
presence of crystal defects increases their
conductivity.
 On the basis of electrical conductivity the
solids can be classified into three types
1. Conductors (metal)
2. Insulators
3. Semiconductors.
(V.B.)
(C.B.)
Conductors (Metal):
 Conductors are materials with
high conductivities, 𝝈 > 103
S/cm (like silver: 106
S/cm).
 They allow the maximum portion of
the applied electric field to flow
through them.
 VB and CB overlapped or minimum
gap.
 They have large no. of mobile
charge carriers or free electrons
which carry electric current.
 When temperature of conductors
increased, conductivity decreases
and its resistivity increases, because
due to thermal agitation positive
part also starts to move which
retards the motion of mobile
electrons.
 Because their resistivity increases
on rising the temp. thus they have
positive temperature coefficient of
resistance.
 For eg. Cu, Ag, Al, Au etc.
Insulators:
 Insulators are materials
having bad electrical
conductivity,
𝝈 < 10-8
S/cm
(like diamond: 10-14
S/cm).
 They do not practically allow
the electric circuit to flow
through them.
 Large gap between VB and
CB.
 Tthey have very high
resistivity because they have
no charge carriers or free
electrons to carry electric
current.
 E.g. Glass, quartz, rubber,
bakelite etc.
Semi- conductors:
 Semi- conductors are those solids
which are perfect insulators at
absolute zero, but conduct electricity
at room temperature.
 Semiconductors have a
conductivity, 𝝈 between 10-8
S/cm
(insulators) and 103
S/cm
(conductors) (for silicon it can
range from 10-5
S/cm to 103
S/cm);
 Semi-conductors allow a portion of
electric current to flow through them.
 On increasing the temperature of a
semiconductor, its resistivity
decreases or conductivity increases.
 At higher temp, a semiconductor
conducts better. Thus, the
semiconductors have negative temp
coefficient of resistance
 Moderate gap between VB and CB
 Si, Ge, As, Ga etc.
JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ]
Semiconductors
Extrinsic
Semiconductors
n- type
Semiconductors
p- type
Semiconductors
Intrinsic
Semiconductors
Fermi Level Energy, Ef –
“The hypothetical energy level, where the probability of movement of e-
at the starting of the conduction is maximum. “
Intrinsic semiconductor- On increasing T ; Ef increases.
p- type semiconductor- On increasing T ; Ef increases.
n- type semiconductor- On increasing T ; Ef decreases.
Valence Band Valence Band
n-type p-type
Intrinsic semi- conductors
(Semi-conductors due to thermal agitations)
 At zero Kelvin pure substance silicon and
germanium act as insulators because
electrons fixed in covalent bonds are not
available for conduction.
 But at higher temperature some of the
covalent bonds are broken.
 To break a covalent bond in the crystal
lattice, a certain amount of energy is
required. For e.g. Energy for Ge is 0.72eV,
for Si 1.12eV and for Ga 1.3 eV.
 After breaking the covalent bond electrons
are released and become free to move in
the crystal and thus conduct electric
current.
 This type of conduction is known as
intrinsic conduction as it can be introduced
in the crystal without adding an external
substance.
Extrinsic semi-conductors:
(Semi-conductors due to impurity defects)
 Pure semiconductors have small conductivity
at room temp. therefore, they are not of much
use.
 By adding some amount of impurity atoms to
a pure semiconductor, we can change its
conductivity or characteristics.
 The process of adding impurity to a pure
semiconductor is called “doping”.
 On adding impurities, either the no. of
electrons or holes increases.
 A doped semiconductor is called “extrinsic
semiconductor”.
 Types of extrinsic semiconductors,
 N – type semiconductor
 P – type semiconductor
 When impurity of next group is added, a free
electron gives rise to the conductivity forming
n-type semiconductors.
 Examples- when group 15 elements are
mixed with the crystal of group 14 elements,
or when group 14 elements are mixed with
the crystal of group 13 elements.
 When impurity of previous group is added, a
hole gives rise to the conductivity forming
p-type semiconductors.
 Examples- when group 13 elements are
mixed with the crystal of group 14 elements,
or when group 14 elements are mixed with
the crystal of group 15 elements.
rwtdgreat@gmail.com
www.slideshare.net/RawatDAgreatt
Google+/blogger/Facebook/Twitter-@RawatDAgreatt +919808050301, +917017378183
JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ]
Ferro-
magnetism
Below Tc, spins are
arranged parallel in
magnetic domains.
Anti-
ferromagnetism
Below TN, spins are
arranged anti-parallel
in magnetic domains.
Ferri-magnetism
Below Tc, spins are
arranged anti-parallel
in magnetic domains,
but do not cancel out
completely.
2. Magnetic Properties of Solids
 The magnetic properties of different materials are studies in terms of their magnetic moments which arise due to the
orbital motion as well as spinning of the electron.
 As electron is charged particle, the circular motion of the electric charge causes the electron to act as a tiny electro
magnet.
 Magnetic moment is a vector quantity and it is represented by μ.
 Bohr Magneton (B.M.) is the fundamental unit of magnetic moment.
 μ(spin only) = √ ( ) B.M. where n is no. of unpaired electrons.
 Due to the magnetic moment of the electrons different substances behave differently towards the external applied
magnetic field.
 Based on the behaviour in the external magnetic field, the substances are divided into different categories as explained
below.
v
(i) Diamagnetic substance:
 Substances which are weakly repelled
by the external magnetic fields,
 Diamagnetic substances have all their
electrons paired.
 Net magnetic moment zero.
 e.g. TiO2, NaCl, benzene etc.
(ii) Paramagnetic substances:
 Weakly attracted by external
magnetic field,
 They have unpaired electrons in their
atoms, ions or molecules,
 Magnetic moments are distributed in
all the direction.
 The paramagnetic substances lose
their magnetism in the absence of
magnetic field.
 e.g. TiO, VO2 and CuO, O2, Cu+2
,
Fe+3
etc.
(iii) Ferromagnetic substances:
 It is a domain property.
 They are strongly attracted by a
magnetic field.
 Such substances remain permanently
magnetised, once they have been
placed in magnetic field, even in the
absence of the magnetic field.
 This type of magnetism arises due to
spontaneous alignment of magnetic
moment of unpaired electrons in the
same direction.
 e.g. Fe, Co, Ni, gadolinium,
CrO2 etc. show Ferromagnetism.
(iv) Anti-Ferromagnetic
substances:
 It is a domain property.
 Substances which are expected to
possess paramagnetism or
Ferromagnetism on the basis of
unpaired electron but actually they
possess zero net magnetic moment
are called anti Ferromagnetic
substances
 Anti-Ferromagnetism is due to
presence of equal number of magnetic
moments in the opposite direction.
 e.g. MnO, Mn2O3, MnO2.
(v) Ferrimagnetic substances:
 It is a domain property.
 Substance which are expected to
possess large magnetism on the basis
of the unpaired electrons but actually
have small net magnetic moments are
called Ferrimagnetic substances
 Net magnetic moment is non-zero.
 e.g. ferrites, magnetic garnets,
magnetite ( Fe3O4)
Curie temperature, TC-
The temperature at which a
ferromagnetic substance
behaves like paramagnetic
substance. It is because of the
unlocking of magnetic domains.
The Néel temperature, TN-
The temperature above which
an antiferromagnetic
Material becomes
paramagnetic
(H) is Direction of Applied
Magnetic Field
(H)
(H)
JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ]
3. Dielectric properties
 A dielectric substance is, in which an
electric field gives rise to no net flow of electric
charge.
 Because electrons in a dielectric
substance are tightly held by individual atoms.
 But when electric field is applied,
Polarization takes place i.e. nuclei are
attracted to one side and the electron cloud to
the other side.
 The alignment of these dipoles may
result in the net zero dipole moment or it may
have a non-zero net dipole moment.
 The non-zero net dipole moment leads
to certain characteristic properties to solids.
Piezoelectricity
(or pressure electricity):
Pyroelectricity
(or heat electricity):
Ferroelectricity: Anti
Ferroelectricity:
 When mechanical stress (pressure)
is applied on crystals so as to
deform them, electricity is produced
due to displacement of ions.
 The electricity thus produced is
called piezoelectricity and the
crystals are called piezoelectric
crystals.
 If electric field is applied to such
crystals, atomic displacement takes
place resulting into mechanical
strain. This is sometimes
called Inverse piezoelectric effect.
 The crystals are used as pick – ups
in record players where they
produce electrical signals by
application of pressure.
 They are also used in microphones,
ultrasonic generators and sonar
detectors.
 Examples of piezoelectric crystals
include titanates of barium and
lead, lead zirconate (PbZrO3),
ammonium dihydrogen phosphate
(NH4H2PO4) and quartz.
 Crystals which
produce small amount
of electricity when
heated are known as
pyroelectric crystals.
 The electricity thus
produced is called
pyroelectricity.
 Example-
Tourmaline
(a silicate material)
 In some of the
piezoelectric crystals,
the dipoles are
permanently polarized
even in the absence
of the electric field.
However on applying
electric field, the
direction of
polarization changes.
 All ferroelectric solids
are piezoelectric but
the reverse is not
true.
 Examples- Barium
titanate (BaTiO3),
sodium potassium
tartarate (Rochelle
salt) and potassium
dihydrogen phosphate
(KH2PO4).
 In some crystals, the
dipoles align
themselves
alternately, pointing
up and down so that
the crystal does not
possess any net
dipole moment. Such
crystal are said to be
anti-Ferroelectric
 Example-
Lead zirconate
(PbZrO3)
rwtdgreat@gmail.com
www.slideshare.net/RawatDAgreatt
Google+/blogger/Facebook/Twitter-@RawatDAgreatt +919808050301, +917017378183

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JFC Properties of Solids

  • 1. JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ] Properties of Solids The three main properties of solids which depend upon their structure are-  1. Electrical properties  2. Magnetic properties  3. Dielectric properties 1. Electrical Properties of Solids Electrical Conductivity Electronic Conductivity (Metallic Conductivity) Due to the motion of electrons (n-type Conduction) Due to the motion of positive holes (p-type Conduction) Ionic Conductivity Due to the motion of ions  Electrical conductivity of metal is due to motion of electrons and it increases with the number of electrons available to participate in the conduction process.  Pure ionic solids are insulators. But the presence of crystal defects increases their conductivity.  On the basis of electrical conductivity the solids can be classified into three types 1. Conductors (metal) 2. Insulators 3. Semiconductors. (V.B.) (C.B.) Conductors (Metal):  Conductors are materials with high conductivities, 𝝈 > 103 S/cm (like silver: 106 S/cm).  They allow the maximum portion of the applied electric field to flow through them.  VB and CB overlapped or minimum gap.  They have large no. of mobile charge carriers or free electrons which carry electric current.  When temperature of conductors increased, conductivity decreases and its resistivity increases, because due to thermal agitation positive part also starts to move which retards the motion of mobile electrons.  Because their resistivity increases on rising the temp. thus they have positive temperature coefficient of resistance.  For eg. Cu, Ag, Al, Au etc. Insulators:  Insulators are materials having bad electrical conductivity, 𝝈 < 10-8 S/cm (like diamond: 10-14 S/cm).  They do not practically allow the electric circuit to flow through them.  Large gap between VB and CB.  Tthey have very high resistivity because they have no charge carriers or free electrons to carry electric current.  E.g. Glass, quartz, rubber, bakelite etc. Semi- conductors:  Semi- conductors are those solids which are perfect insulators at absolute zero, but conduct electricity at room temperature.  Semiconductors have a conductivity, 𝝈 between 10-8 S/cm (insulators) and 103 S/cm (conductors) (for silicon it can range from 10-5 S/cm to 103 S/cm);  Semi-conductors allow a portion of electric current to flow through them.  On increasing the temperature of a semiconductor, its resistivity decreases or conductivity increases.  At higher temp, a semiconductor conducts better. Thus, the semiconductors have negative temp coefficient of resistance  Moderate gap between VB and CB  Si, Ge, As, Ga etc.
  • 2. JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ] Semiconductors Extrinsic Semiconductors n- type Semiconductors p- type Semiconductors Intrinsic Semiconductors Fermi Level Energy, Ef – “The hypothetical energy level, where the probability of movement of e- at the starting of the conduction is maximum. “ Intrinsic semiconductor- On increasing T ; Ef increases. p- type semiconductor- On increasing T ; Ef increases. n- type semiconductor- On increasing T ; Ef decreases. Valence Band Valence Band n-type p-type Intrinsic semi- conductors (Semi-conductors due to thermal agitations)  At zero Kelvin pure substance silicon and germanium act as insulators because electrons fixed in covalent bonds are not available for conduction.  But at higher temperature some of the covalent bonds are broken.  To break a covalent bond in the crystal lattice, a certain amount of energy is required. For e.g. Energy for Ge is 0.72eV, for Si 1.12eV and for Ga 1.3 eV.  After breaking the covalent bond electrons are released and become free to move in the crystal and thus conduct electric current.  This type of conduction is known as intrinsic conduction as it can be introduced in the crystal without adding an external substance. Extrinsic semi-conductors: (Semi-conductors due to impurity defects)  Pure semiconductors have small conductivity at room temp. therefore, they are not of much use.  By adding some amount of impurity atoms to a pure semiconductor, we can change its conductivity or characteristics.  The process of adding impurity to a pure semiconductor is called “doping”.  On adding impurities, either the no. of electrons or holes increases.  A doped semiconductor is called “extrinsic semiconductor”.  Types of extrinsic semiconductors,  N – type semiconductor  P – type semiconductor  When impurity of next group is added, a free electron gives rise to the conductivity forming n-type semiconductors.  Examples- when group 15 elements are mixed with the crystal of group 14 elements, or when group 14 elements are mixed with the crystal of group 13 elements.  When impurity of previous group is added, a hole gives rise to the conductivity forming p-type semiconductors.  Examples- when group 13 elements are mixed with the crystal of group 14 elements, or when group 14 elements are mixed with the crystal of group 15 elements. rwtdgreat@gmail.com www.slideshare.net/RawatDAgreatt Google+/blogger/Facebook/Twitter-@RawatDAgreatt +919808050301, +917017378183
  • 3. JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ] Ferro- magnetism Below Tc, spins are arranged parallel in magnetic domains. Anti- ferromagnetism Below TN, spins are arranged anti-parallel in magnetic domains. Ferri-magnetism Below Tc, spins are arranged anti-parallel in magnetic domains, but do not cancel out completely. 2. Magnetic Properties of Solids  The magnetic properties of different materials are studies in terms of their magnetic moments which arise due to the orbital motion as well as spinning of the electron.  As electron is charged particle, the circular motion of the electric charge causes the electron to act as a tiny electro magnet.  Magnetic moment is a vector quantity and it is represented by μ.  Bohr Magneton (B.M.) is the fundamental unit of magnetic moment.  μ(spin only) = √ ( ) B.M. where n is no. of unpaired electrons.  Due to the magnetic moment of the electrons different substances behave differently towards the external applied magnetic field.  Based on the behaviour in the external magnetic field, the substances are divided into different categories as explained below. v (i) Diamagnetic substance:  Substances which are weakly repelled by the external magnetic fields,  Diamagnetic substances have all their electrons paired.  Net magnetic moment zero.  e.g. TiO2, NaCl, benzene etc. (ii) Paramagnetic substances:  Weakly attracted by external magnetic field,  They have unpaired electrons in their atoms, ions or molecules,  Magnetic moments are distributed in all the direction.  The paramagnetic substances lose their magnetism in the absence of magnetic field.  e.g. TiO, VO2 and CuO, O2, Cu+2 , Fe+3 etc. (iii) Ferromagnetic substances:  It is a domain property.  They are strongly attracted by a magnetic field.  Such substances remain permanently magnetised, once they have been placed in magnetic field, even in the absence of the magnetic field.  This type of magnetism arises due to spontaneous alignment of magnetic moment of unpaired electrons in the same direction.  e.g. Fe, Co, Ni, gadolinium, CrO2 etc. show Ferromagnetism. (iv) Anti-Ferromagnetic substances:  It is a domain property.  Substances which are expected to possess paramagnetism or Ferromagnetism on the basis of unpaired electron but actually they possess zero net magnetic moment are called anti Ferromagnetic substances  Anti-Ferromagnetism is due to presence of equal number of magnetic moments in the opposite direction.  e.g. MnO, Mn2O3, MnO2. (v) Ferrimagnetic substances:  It is a domain property.  Substance which are expected to possess large magnetism on the basis of the unpaired electrons but actually have small net magnetic moments are called Ferrimagnetic substances  Net magnetic moment is non-zero.  e.g. ferrites, magnetic garnets, magnetite ( Fe3O4) Curie temperature, TC- The temperature at which a ferromagnetic substance behaves like paramagnetic substance. It is because of the unlocking of magnetic domains. The Néel temperature, TN- The temperature above which an antiferromagnetic Material becomes paramagnetic (H) is Direction of Applied Magnetic Field (H) (H)
  • 4. JFC Properties of Solids By Rawat Sir [M.Sc. Chemistry, 3 times NET (JRF), GATE ] 3. Dielectric properties  A dielectric substance is, in which an electric field gives rise to no net flow of electric charge.  Because electrons in a dielectric substance are tightly held by individual atoms.  But when electric field is applied, Polarization takes place i.e. nuclei are attracted to one side and the electron cloud to the other side.  The alignment of these dipoles may result in the net zero dipole moment or it may have a non-zero net dipole moment.  The non-zero net dipole moment leads to certain characteristic properties to solids. Piezoelectricity (or pressure electricity): Pyroelectricity (or heat electricity): Ferroelectricity: Anti Ferroelectricity:  When mechanical stress (pressure) is applied on crystals so as to deform them, electricity is produced due to displacement of ions.  The electricity thus produced is called piezoelectricity and the crystals are called piezoelectric crystals.  If electric field is applied to such crystals, atomic displacement takes place resulting into mechanical strain. This is sometimes called Inverse piezoelectric effect.  The crystals are used as pick – ups in record players where they produce electrical signals by application of pressure.  They are also used in microphones, ultrasonic generators and sonar detectors.  Examples of piezoelectric crystals include titanates of barium and lead, lead zirconate (PbZrO3), ammonium dihydrogen phosphate (NH4H2PO4) and quartz.  Crystals which produce small amount of electricity when heated are known as pyroelectric crystals.  The electricity thus produced is called pyroelectricity.  Example- Tourmaline (a silicate material)  In some of the piezoelectric crystals, the dipoles are permanently polarized even in the absence of the electric field. However on applying electric field, the direction of polarization changes.  All ferroelectric solids are piezoelectric but the reverse is not true.  Examples- Barium titanate (BaTiO3), sodium potassium tartarate (Rochelle salt) and potassium dihydrogen phosphate (KH2PO4).  In some crystals, the dipoles align themselves alternately, pointing up and down so that the crystal does not possess any net dipole moment. Such crystal are said to be anti-Ferroelectric  Example- Lead zirconate (PbZrO3) rwtdgreat@gmail.com www.slideshare.net/RawatDAgreatt Google+/blogger/Facebook/Twitter-@RawatDAgreatt +919808050301, +917017378183