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• Paramagnetic- Weakly attracted by magnetic field. eg. O2
, Cu2+
etc.
• Diamagnetic- Weakly repelled by magnetic field. H2
O, NaCl, etc.
• Ferromagnetic- permanent magnetism even in absence of magnetic
fields eg. Fe, Ni, CO, CrO2
, etc.
• Ferrimagnetic- Magnetic moment is smaller than that of
ferromagnetic substances. eg.
• Antiferromagnetic- Zero magnetic moment due to equal no. of anti-
parallel domains. eg. MnO, etc.
• Conductors- Valence bond is partially filled or it overlaps with higher
energy unoccupied conduction bands.
• Semi-conductors- Small energy gap between valance and conduction
bands.
• Insulators- Large energy gap between valance and conduction bands.
• n-type semiconductor: (by doping e-
rich impurities
• p-type semiconductor: (by doping e-
deficient impurities
ELECTRICAL PROPERTIES
MAGNETIC PROPERTIES
MAGNETIC & ELECTRICAL PROPERTIES
Crystal
Structure
Lattice
Points
C.N. Number of Formula
Units per unit cell
Example
Cl-
,-CCP
Na+
-OV
6:6 4
LiCl, KCl
RbCl, AgCl
S2-
-CCP
Zn2+
-Alternate TV
4:4 4
ZnS, Bes,
CuCl, CuI
Cl-
-Corners
Cs+
-Body centre
8:8 1 CsBr, CsI,
CsCN
Ca2+
-CCP
F-all TV
8:4 4
SrF2
, BaF2
,
SrCl2
O2-
-CCP
Li+
-all TV
4:8 4
K2
O, Li2
O,
K2
S
STRUCTURE OF VARIOUS IONIC CRYSTALS
Rock salt
NaCl type
Zinc-Blende
Zns type
CsCl type
(BCC type)
Fluorite type
(CaF2
)
Anti-Fluorite
type (Na2
O)
Packging Efficiency
(P.E.)
Density
3
A
Z M
d
N a
×
=
×
Coordination No.
(C.N.)
3
3
4
Z r
3
PE 100
a
× π
= ×
It is no. of nearest
Neighbours of a
lattice point
DEFECTS IN CRYSTALS
IN NON-IONIC
SOLIDS
IN IONIC
SOLIDS
Interstitial
Defects
Vacancy
Defects
NON STOICHIOMETRIC
DEFECT
• Some of the
lattice sites
are vacant
• Decrease in
density
• Some particles
occupy an
interstial site
• increase in
density
Frenkel
Defects
Schottky
Defects
• Equal no. of
cations and
anions are
missing
• Decrease in
density
• Smaller ion is
dislocated from
it's normal site
to an interstitial
sites
• no change density
Metal deficiency
Defects
Metal excess
Defect
• It may arise either
due to anionic
vacancies or due to
presence of extra
cations at interstitial
Sites
• Generate F-centres
which are responsible
for colour in crystal
• Occurs due to cationic
vacancy and presence
of a cation having
higher charge.
• Appearance in oxides
of d-block metals.
STOICHIOMETRIC
DEFECTS
O2-
Fe3+
Fe3+
e-
TETRAHEDRAL
VOIDS (TV)
Surrounded by 4 spheres
Present on body diagonal line at a
distance of from corner of FCC
unit
C.N. = 4
a 3
4
OCTAHEDRAL VOIDS (OV)
Surrounded by 6 spheres
Present on edge centre and body
body centre of FCC unit
C.N. = 6
Types of Crystal Lattice/
14 Bravis Lattices
Cubic
Tetragonal
Orthorhombic
Monoclinic
Hexagonal
Rhombohedral
Triclinic
a = b = c
a ≠ b ≠ c
a = b ≠ c
a ≠ b ≠ c
a = b ≠ c
a = b = c
a ≠ b ≠ c
α = β = γ = 90°
α = β = γ = 90°
α = β = γ = 90°
α = γ = β ≠ 90°
α = β = 90° γ = 120°
α = β = γ ≠ 90°
α ≠ β ≠ γ ≠ 90°
Simple Cubic
Unit Cell (S.C.C.)
Body Centered Cubic
Unit Cell (B.C.C.)
Face Centered Cubic
Unit Cell (F.C.C.)
Hexagonal Closed Packed
Unit Cell (H.C.C.)
Lattic
points
Effective Number
of atoms (Z)
Packing Efficiency
(PE)
52% 68% 74% 74%
12 12
6 8
Coordination No.
Corners Corners + Body
Center
Corners + All
Face Center
Corners + Face Centers
+ 3 atoms in middle layers
 
1
8 1
8
 
 
× =
1
8 1 2
8
× + =
 
 
 
1 1
8 6 3
8 2
× + × =
 
 
 
1 1
12 2 3 6
6 2
× + × + =
 
 
 
CRYSTALLINE & AMORPHOUS
SOLIDS
CRYSTALLINE AMORPHOUS
• Have a long range
order of particles
• Anisotropic
• True solids
• Sharp melting point
• NaCl, Quartz, ZnS
• Do not have ordered
structure or have a very
short order
• Isotropic
• Pseudo solids
• Diffused melting point
• Glass, Rubber, etc.
Molecular Covalent/Network
Ionic Solid Metallic Solids
A regular 3-D arrangement of constituent
particles.
UNIT CELL
CRYSTAL LATTICE / SPACE
LATTICE
Fe3
O4
, MgFe2
O4 .
TYPES OF
UNIT CELLS
Smallest repeating
unit which repeats
itself over and over
again to generate
entire crystal.
SOLID
STATES
VOIDS
DR. Anand Mani
anand_mani16 https://www.anandmani.com/ https://discord.io/anandmani t.me/anandmani001

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C1 Solid State.pdf

  • 1. • Paramagnetic- Weakly attracted by magnetic field. eg. O2 , Cu2+ etc. • Diamagnetic- Weakly repelled by magnetic field. H2 O, NaCl, etc. • Ferromagnetic- permanent magnetism even in absence of magnetic fields eg. Fe, Ni, CO, CrO2 , etc. • Ferrimagnetic- Magnetic moment is smaller than that of ferromagnetic substances. eg. • Antiferromagnetic- Zero magnetic moment due to equal no. of anti- parallel domains. eg. MnO, etc. • Conductors- Valence bond is partially filled or it overlaps with higher energy unoccupied conduction bands. • Semi-conductors- Small energy gap between valance and conduction bands. • Insulators- Large energy gap between valance and conduction bands. • n-type semiconductor: (by doping e- rich impurities • p-type semiconductor: (by doping e- deficient impurities ELECTRICAL PROPERTIES MAGNETIC PROPERTIES MAGNETIC & ELECTRICAL PROPERTIES Crystal Structure Lattice Points C.N. Number of Formula Units per unit cell Example Cl- ,-CCP Na+ -OV 6:6 4 LiCl, KCl RbCl, AgCl S2- -CCP Zn2+ -Alternate TV 4:4 4 ZnS, Bes, CuCl, CuI Cl- -Corners Cs+ -Body centre 8:8 1 CsBr, CsI, CsCN Ca2+ -CCP F-all TV 8:4 4 SrF2 , BaF2 , SrCl2 O2- -CCP Li+ -all TV 4:8 4 K2 O, Li2 O, K2 S STRUCTURE OF VARIOUS IONIC CRYSTALS Rock salt NaCl type Zinc-Blende Zns type CsCl type (BCC type) Fluorite type (CaF2 ) Anti-Fluorite type (Na2 O) Packging Efficiency (P.E.) Density 3 A Z M d N a × = × Coordination No. (C.N.) 3 3 4 Z r 3 PE 100 a × π = × It is no. of nearest Neighbours of a lattice point DEFECTS IN CRYSTALS IN NON-IONIC SOLIDS IN IONIC SOLIDS Interstitial Defects Vacancy Defects NON STOICHIOMETRIC DEFECT • Some of the lattice sites are vacant • Decrease in density • Some particles occupy an interstial site • increase in density Frenkel Defects Schottky Defects • Equal no. of cations and anions are missing • Decrease in density • Smaller ion is dislocated from it's normal site to an interstitial sites • no change density Metal deficiency Defects Metal excess Defect • It may arise either due to anionic vacancies or due to presence of extra cations at interstitial Sites • Generate F-centres which are responsible for colour in crystal • Occurs due to cationic vacancy and presence of a cation having higher charge. • Appearance in oxides of d-block metals. STOICHIOMETRIC DEFECTS O2- Fe3+ Fe3+ e- TETRAHEDRAL VOIDS (TV) Surrounded by 4 spheres Present on body diagonal line at a distance of from corner of FCC unit C.N. = 4 a 3 4 OCTAHEDRAL VOIDS (OV) Surrounded by 6 spheres Present on edge centre and body body centre of FCC unit C.N. = 6 Types of Crystal Lattice/ 14 Bravis Lattices Cubic Tetragonal Orthorhombic Monoclinic Hexagonal Rhombohedral Triclinic a = b = c a ≠ b ≠ c a = b ≠ c a ≠ b ≠ c a = b ≠ c a = b = c a ≠ b ≠ c α = β = γ = 90° α = β = γ = 90° α = β = γ = 90° α = γ = β ≠ 90° α = β = 90° γ = 120° α = β = γ ≠ 90° α ≠ β ≠ γ ≠ 90° Simple Cubic Unit Cell (S.C.C.) Body Centered Cubic Unit Cell (B.C.C.) Face Centered Cubic Unit Cell (F.C.C.) Hexagonal Closed Packed Unit Cell (H.C.C.) Lattic points Effective Number of atoms (Z) Packing Efficiency (PE) 52% 68% 74% 74% 12 12 6 8 Coordination No. Corners Corners + Body Center Corners + All Face Center Corners + Face Centers + 3 atoms in middle layers   1 8 1 8     × = 1 8 1 2 8 × + =       1 1 8 6 3 8 2 × + × =       1 1 12 2 3 6 6 2 × + × + =       CRYSTALLINE & AMORPHOUS SOLIDS CRYSTALLINE AMORPHOUS • Have a long range order of particles • Anisotropic • True solids • Sharp melting point • NaCl, Quartz, ZnS • Do not have ordered structure or have a very short order • Isotropic • Pseudo solids • Diffused melting point • Glass, Rubber, etc. Molecular Covalent/Network Ionic Solid Metallic Solids A regular 3-D arrangement of constituent particles. UNIT CELL CRYSTAL LATTICE / SPACE LATTICE Fe3 O4 , MgFe2 O4 . TYPES OF UNIT CELLS Smallest repeating unit which repeats itself over and over again to generate entire crystal. SOLID STATES VOIDS DR. Anand Mani anand_mani16 https://www.anandmani.com/ https://discord.io/anandmani t.me/anandmani001