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SOLID STATE
Designed and
Presented by
INTRODUCTION
• The state of matter in which materials retain their boundaries without
support, the atoms or molecules occupying fixed positions with respect
to each other and unable to move freely.
• Cause of existence of substance as solid are –
1. Intermolecular forces
2. Thermal energy
• Study of structure of crystalline solid and their properties is know as
Crystallography
• There are broadly two type of solid - Crystalline solid and Amorphous
solid depending upon their structure.
Preview
We are going to cover the following topic in this
module.
1. Types of solid
2. Crystal structure
3. Crystal lattice and unit cell
4. Cubic crystals
5. Structure of graphite
6. Structure of NaCl
7. Structure of diamond
8. Crystal imperfection
9. Conclusion
TYPES OF SOLIDS
Crystalline solid
 They have definite and regular geometry due
to definite and orderly arrangement of atoms,
ions or molecules in three-dimensional
space.
 They have sharp melting points and change
abruptly into liquids.
 Crystalline solids are anisotropic.
 These are considered as true solids
 Example: NaCl, KCl, Sugar, Quartz, etc.
Amorphous solids
 They do not have any pattern of arrangement
of atoms, ions or molecules and, thus do not
have any definite geometrical shape.
 Amorphous solids do not have sharp melting
point and do not change abruptly into liquids.
 Amorphous solids are isotropic
 These are considered pseudo solids or
supercooled liquid.
 Example :Plastic, Glass, Rubber etc
There are basically two types of solids on the basis of molecular arrangement
1. Crystalline solids
2. Amorphous solid
VIDEO
Radius Ratio of Ionic Crystals
Ionic solids posses different coordination number, because of differences in the number and relative sizes of the
cations and anions. Larger the size of anion, greater will be the number of cations which can be packed in a unit
cell.
Radius Ratio is the ratio of the cation to that of the anion in an ionic solid. Thus, radius ratio is
Radius of cation / radius of anion = r
Crystal lattices and lattice cell
• Crystal lattice is a highly ordered three dimensional structure, formed by its constituent atom
or molecule or ions. Lattice is regarded an infinite set of point repeated regularly throughout
space.
• Unit cell is the smallest building unit in space of crystal, which when repeated over and over
again in three dimensions, result in a space lattice of the crystalline substance.
The unit cell in a three dimensional lattice is characterised
by the length and angle. These are collectively know as the
Unit cell parameters.
From the variation in these parameter, a total of seven
Crystal lattice can be constructed. These different unit cell
are know as Bravais lattices.
Fourteen Bravais lattices of the
seven Crystal systemsCrystal Systems
Cubic CrystalsIn a cubic crystal , the intercept on three axes are equal and all the angle are equal to 90 degree.
A cubic crystal can be any of the following three types
1. Simple or primitive crystal lattice (SC)
2. Body centred crystal lattice (BCC)
3. Face centred crystal lattice (FCC)
(i) SIMPLE CRYSTAL LATTICE – In simple crystal
lattice there are lattice point at the eight corners of the
unit cell. In a simple cubic structure, an atom
situated at any corner of each unit is shared by
a total of eight unit cell , thus , each unit cell
has 1/8 th share of every corner atom.
So the total contribution of all the eight corner
atom is equal to 1.
= 8 x 1/8 = 1atom/ unit cell of SC
(ii)BODY CENTRED CRYSTAL LATTICE –
In the body centred crystal lattice, there are lattice
points at eight corner and at the centre of the unit cell
The atom at the centre is independent of other cell,
while each of the eight atoms situated at the corners
is shared by total of eight unit cells. Thus , the total
number of atom per unit cell
= 1( at the centre) + 8 x 1/8 ( at the corners)
= 1 + 1 = 2 atom/ unit cell of BCC
(iii) FACE CENTRED CRYSTAL LATTICE –
In the face centred crystal lattice, there are lattice points
at the centre of all faces, in addition to those at the eight
Corner of the unit cell. Every atom situated at the centre of
a face of a unit cell is shared by two adjoining unit cell.
Thus, the total number of atom per unit cell
= 1/2 x 6 ( at the centre of face) +
8 x 1/8 (at the corner)
= 3+1 = 4 atom/ unit cell of FCC
Coordination Number of a cubic lattice
The total number of nearest neighbour atoms of a particular atom in a crystal lattice, is called
Coordination Number
(i) Simple cubic cell (SC) – In such a
cell, there are six atom which are the nearest
neighbour for every corner atom.
Hence , the coordination is 6
(ii) Body centred cell (BCC) - In this, an atom
in the centre of the cell has all the eight corner atoms as
its close neighbours.
Hence, the coordination number is 8
(iii) Face centred cell (FCC) –
In this , each atom is in direct contact with 12 nearest neighbours – 6 of which lies in one
layer in the same plane , 3 from layer above and 3 from layer below. Hence, the
coordination number is 12
this structure is akin to tetrahedral structure.
Cu, Au, Al crystallize in fcc lattice.
Radius Ratio of Ionic Crystals
• Ionic solids posses different coordination number, because of different in the number and relative
sizes of the cation and anion.
• Radius Ratio is the ratio of the cation radius to the anion in an ionic solid. Thus radius ratio is
radius of cation / radius of anion = r+/ R-
• From the value of radius ratio, one can know
the coordination number and hence
predict the shape of solid
• Higher the radius ratio, larger is the size
of the cation and hence , greater is its
co-ordination number.
CALCULATION OF DENSITY OF CUBIC CRYSTAL
Let Z be the number of atom in unit cell ; M be the atomic mass and A be the edge
length of the crystal
volume of unit cell = A3
mass of the unit cell = ( no. of the atom per unit cell ) x [ mass of the each
atom ]
= Z x (M/Na )
Density = Mass of the unit cell/ volume of the unit cell
= Z M/ A3 Na
Structure of graphite
• There is planar ( sp2 – Hybridisation ) arrangement and every
carbon atom is bounded to three other carbon atoms,
forming the hexagonal network sheet ( like those in benzene
rings )
• The distance between two carbon atom in a layer is 1.42 A0
• The hexagonal layers are held parallel by weak van der waals
forces
• The distance the layer is 3.40 Ao
• Due to weak force between the layer , graphite is soft,
slippery and flaky in nature.
•
• NaCl has a cubic unit cell.
• It is best thought of as a face-centered
cubic array of anions with an
interpenetrating fcc cation lattice
(or vice-versa).
• The cell looks the same whether you start
with anions or cations on the corners.
• Each ion is 6-coordinate and has a local
octahedral geometry.
STRUCTURE OF NaCl
STRUCTURE OF DIAMOND
• Diamond is a metastable allotrope of
carbon.
• Each carbon atom is sp3 hybridised and
have tetrahedral structure
• The distance between two carbon is 1.54 Ao
• Each carbon atom is bonded covalently
with other surrounding four carbon atoms
and are arranged in a variation of the face
centred cubic crystal structure called a
diamond lattice .
CRYSTAL IMPERFECTIONS
• Imperfections in ionic crystals means any deviation from the perfectly ordered
arrangement of the constituent ions of the crystal , thereby resulting in change in
the properties.
• Electronic imperfections-which correspond to defects in ionic crystals , thereby
resulting in change in the properties.
• Atomic impurities-arise due to irregularity in the arrangement of atoms or ions in
the crystal lattice.
• There are two type of point imperfection in ionic crystal
1. Stoichiometric defect
2. Non – stoichiometric defect
Stoichiometric defect
Frenkel defect Schottky defect
Non stoichiometric defect
Metal ion deficiency defect
due to missing cation.
Metal ions deficiency defect
due to presence of an
impurity ion or higher
valency.
Metal ions
excess defect
due to extra
interstitial cation
Metal ion excess
defect due to
vacancies
Thank you

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Solid state

  • 2. INTRODUCTION • The state of matter in which materials retain their boundaries without support, the atoms or molecules occupying fixed positions with respect to each other and unable to move freely. • Cause of existence of substance as solid are – 1. Intermolecular forces 2. Thermal energy • Study of structure of crystalline solid and their properties is know as Crystallography • There are broadly two type of solid - Crystalline solid and Amorphous solid depending upon their structure.
  • 3. Preview We are going to cover the following topic in this module. 1. Types of solid 2. Crystal structure 3. Crystal lattice and unit cell 4. Cubic crystals 5. Structure of graphite 6. Structure of NaCl 7. Structure of diamond 8. Crystal imperfection 9. Conclusion
  • 4. TYPES OF SOLIDS Crystalline solid  They have definite and regular geometry due to definite and orderly arrangement of atoms, ions or molecules in three-dimensional space.  They have sharp melting points and change abruptly into liquids.  Crystalline solids are anisotropic.  These are considered as true solids  Example: NaCl, KCl, Sugar, Quartz, etc. Amorphous solids  They do not have any pattern of arrangement of atoms, ions or molecules and, thus do not have any definite geometrical shape.  Amorphous solids do not have sharp melting point and do not change abruptly into liquids.  Amorphous solids are isotropic  These are considered pseudo solids or supercooled liquid.  Example :Plastic, Glass, Rubber etc There are basically two types of solids on the basis of molecular arrangement 1. Crystalline solids 2. Amorphous solid
  • 6. Radius Ratio of Ionic Crystals Ionic solids posses different coordination number, because of differences in the number and relative sizes of the cations and anions. Larger the size of anion, greater will be the number of cations which can be packed in a unit cell. Radius Ratio is the ratio of the cation to that of the anion in an ionic solid. Thus, radius ratio is Radius of cation / radius of anion = r
  • 7. Crystal lattices and lattice cell • Crystal lattice is a highly ordered three dimensional structure, formed by its constituent atom or molecule or ions. Lattice is regarded an infinite set of point repeated regularly throughout space. • Unit cell is the smallest building unit in space of crystal, which when repeated over and over again in three dimensions, result in a space lattice of the crystalline substance. The unit cell in a three dimensional lattice is characterised by the length and angle. These are collectively know as the Unit cell parameters. From the variation in these parameter, a total of seven Crystal lattice can be constructed. These different unit cell are know as Bravais lattices.
  • 8. Fourteen Bravais lattices of the seven Crystal systemsCrystal Systems
  • 9. Cubic CrystalsIn a cubic crystal , the intercept on three axes are equal and all the angle are equal to 90 degree. A cubic crystal can be any of the following three types 1. Simple or primitive crystal lattice (SC) 2. Body centred crystal lattice (BCC) 3. Face centred crystal lattice (FCC) (i) SIMPLE CRYSTAL LATTICE – In simple crystal lattice there are lattice point at the eight corners of the unit cell. In a simple cubic structure, an atom situated at any corner of each unit is shared by a total of eight unit cell , thus , each unit cell has 1/8 th share of every corner atom. So the total contribution of all the eight corner atom is equal to 1. = 8 x 1/8 = 1atom/ unit cell of SC
  • 10. (ii)BODY CENTRED CRYSTAL LATTICE – In the body centred crystal lattice, there are lattice points at eight corner and at the centre of the unit cell The atom at the centre is independent of other cell, while each of the eight atoms situated at the corners is shared by total of eight unit cells. Thus , the total number of atom per unit cell = 1( at the centre) + 8 x 1/8 ( at the corners) = 1 + 1 = 2 atom/ unit cell of BCC (iii) FACE CENTRED CRYSTAL LATTICE – In the face centred crystal lattice, there are lattice points at the centre of all faces, in addition to those at the eight Corner of the unit cell. Every atom situated at the centre of a face of a unit cell is shared by two adjoining unit cell. Thus, the total number of atom per unit cell = 1/2 x 6 ( at the centre of face) + 8 x 1/8 (at the corner) = 3+1 = 4 atom/ unit cell of FCC
  • 11. Coordination Number of a cubic lattice The total number of nearest neighbour atoms of a particular atom in a crystal lattice, is called Coordination Number (i) Simple cubic cell (SC) – In such a cell, there are six atom which are the nearest neighbour for every corner atom. Hence , the coordination is 6 (ii) Body centred cell (BCC) - In this, an atom in the centre of the cell has all the eight corner atoms as its close neighbours. Hence, the coordination number is 8
  • 12. (iii) Face centred cell (FCC) – In this , each atom is in direct contact with 12 nearest neighbours – 6 of which lies in one layer in the same plane , 3 from layer above and 3 from layer below. Hence, the coordination number is 12 this structure is akin to tetrahedral structure. Cu, Au, Al crystallize in fcc lattice.
  • 13. Radius Ratio of Ionic Crystals • Ionic solids posses different coordination number, because of different in the number and relative sizes of the cation and anion. • Radius Ratio is the ratio of the cation radius to the anion in an ionic solid. Thus radius ratio is radius of cation / radius of anion = r+/ R- • From the value of radius ratio, one can know the coordination number and hence predict the shape of solid • Higher the radius ratio, larger is the size of the cation and hence , greater is its co-ordination number.
  • 14. CALCULATION OF DENSITY OF CUBIC CRYSTAL Let Z be the number of atom in unit cell ; M be the atomic mass and A be the edge length of the crystal volume of unit cell = A3 mass of the unit cell = ( no. of the atom per unit cell ) x [ mass of the each atom ] = Z x (M/Na ) Density = Mass of the unit cell/ volume of the unit cell = Z M/ A3 Na
  • 15. Structure of graphite • There is planar ( sp2 – Hybridisation ) arrangement and every carbon atom is bounded to three other carbon atoms, forming the hexagonal network sheet ( like those in benzene rings ) • The distance between two carbon atom in a layer is 1.42 A0 • The hexagonal layers are held parallel by weak van der waals forces • The distance the layer is 3.40 Ao • Due to weak force between the layer , graphite is soft, slippery and flaky in nature. •
  • 16. • NaCl has a cubic unit cell. • It is best thought of as a face-centered cubic array of anions with an interpenetrating fcc cation lattice (or vice-versa). • The cell looks the same whether you start with anions or cations on the corners. • Each ion is 6-coordinate and has a local octahedral geometry. STRUCTURE OF NaCl
  • 17. STRUCTURE OF DIAMOND • Diamond is a metastable allotrope of carbon. • Each carbon atom is sp3 hybridised and have tetrahedral structure • The distance between two carbon is 1.54 Ao • Each carbon atom is bonded covalently with other surrounding four carbon atoms and are arranged in a variation of the face centred cubic crystal structure called a diamond lattice .
  • 18. CRYSTAL IMPERFECTIONS • Imperfections in ionic crystals means any deviation from the perfectly ordered arrangement of the constituent ions of the crystal , thereby resulting in change in the properties. • Electronic imperfections-which correspond to defects in ionic crystals , thereby resulting in change in the properties. • Atomic impurities-arise due to irregularity in the arrangement of atoms or ions in the crystal lattice. • There are two type of point imperfection in ionic crystal 1. Stoichiometric defect 2. Non – stoichiometric defect
  • 20. Non stoichiometric defect Metal ion deficiency defect due to missing cation. Metal ions deficiency defect due to presence of an impurity ion or higher valency. Metal ions excess defect due to extra interstitial cation Metal ion excess defect due to vacancies