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CRYSTAL
STRUCTURES
VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN
MECHANICAL ENGINEERING
WHAT IS A CRYSTAL STRUCTURE …..?
A crystal structure is defined as the particular repeating arrangement of atoms
(molecules or ions) throughout a crystal. Structure refers to the internal
arrangement of particles and not the external appearance of the crystal.
However, these are not entirely independent since the external appearance of a
crystal is often related to the internal arrangement. For example, crystals of
cubic rock salt ( NaCl ) are physically cubic in appearance. Only a few of the
possible crystal structures are of concern with respect to simple inorganic salts
and these will be discussed in detail, however, it is important to understand the
nomenclature of crystallography.
VIGNAN INSTITUTE OF ENGINEERING FOR WO
MECHANICAL ENGINEERING
Basic Concepts of Crystal Structure
 Study of Properties of Metals by Structure
Types of Solids
Crystalline Solids
The atoms are positined in systematic pattern.
E.g. Iron, Copper, Aluminum
Non Crystalline Solids
The atoms are positined in nonsystematic pattern.
E.g. Amorphous materials .
VIGNAN INSTITUTE OF ENGINEERING FOR
WOMEN
MECHANICAL ENGINEERING
VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN
MECHANICAL ENGINEERING
SPACE LATTICE :-
A space lattice is an array of points showing
how particles (atoms, ions or molecules) are
arranged at different sites in three dimensional
spaces. Unit cells are easiest to visualize in two
dimensions.
VIGNAN INSTITUTE OF ENGINEERING FOR
WOMEN
MECHANICAL ENGINEERING
A unit cell is the most basic and least
volume consuming repeating structure
of any solid. It is used to visually
simplify the crystalline patterns solids
arrange themselves in.
UNIT CELL :-
VIGNAN INSTITUTE OF ENGINEERING
FOR WOMEN
MECHANICAL ENGINEERING
LATTICECONSTANTANDANGLE
 LATTICE CONSTANT
 The lattice constant (or
lattice parameter)
refers to the constant
distance between unit
cells in a crystal
lattice.
 LATTICE ANGLE
lattice parameter is
one of the physical
dimensions
and angles that
determine the
geometry of the unit
cells in a crystal lattice.
VIGNAN INSTITUTE OF ENGINEERING
FOR WOMEN
MECHANICAL ENGINEERING
CRYSTAL SYSTEMS :-
cubic
System Axial Lengths and Angles Unit Cell Geometry
a=b=c, α = β = γ = 90°
tetragonal a = b ≠ c, α = β = γ= 90°
orthorhombic a ≠ b ≠ c, α = β = γ= 90°
rhombohedral a = b = c, α = β = γ ≠ 90°
VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN
MECHANICAL ENGINEERING
System Axial Lengths and Angles Unit Cell Geometry
hexagonal a = b ≠ c, α = β = 90°, γ = 120°
monoclinic
a ≠ b ≠ c, α = γ = 90°, β ≠ 90°
triclinic a ≠ b ≠ c, α ≠ β ≠ γ
VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN
MECHANICAL ENGINEERING
TYPES OF CRYSTAL STRUCTURE
1. Simple Cubic Crystal
Structure (SC)
2. Body Centered Crystal
Structure (BCC)
3. Face centered Crystal
Structure (FCC)
4. Hexagonal Closed Packed
Structure (HCP)
VIGNAN INSTITUTE OF ENGINEERING
FOR WOMEN
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Simple Cubic Crystal Structure (SCC)
Ne =No of corner atoms = 8
Nf =No of face atoms =0
Ni =No of interior atoms=0
Navg=Average no of atoms per unit cell
= Nc + Nf+ Ni
8 2 1
8 + 0 + 0
8 2 1
Navg=1
VIGNAN INSTITUTE OF ENGINEERING
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Body centered Crystal Structure (BCC)
Nc= No of corner atoms =8
Nf =No of face atoms =0
Ni =No of interior atoms=1
Navg=Average no of atoms per unit cell
=Nc+Nf+ Ni
8 2 1
8 + 0 + 1
8 2 1
Navg=2
VIGNAN INSTITUTE OF ENGINEERING
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Face centered Crystal Structure (FCC)
Ne =No of corner atoms = 8
Nf =No of face atoms = 6
Ni =No of interior atoms =0
Navg=Average no of atoms per unit cell
=Nc + Nf + Ni
8 2 1
8 + 6 + 0
8 2 1
Navg=4
VIGNAN INSTITUTE OF ENGINEERING
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Hexagonal Closed Packed Structure (HCP)
Nc=No of corner atoms=12
Nf =No of face atoms=2
Ni =No of interior atoms=3
Navg=Average no of atoms per unit cell
=Nc + Nf + Ni
6 2 1
12 + 2 + 3
6 1 2
Navg=6
VIGNAN INSTITUTE OF ENGINEERING
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THANK YOU
VIGNAN INSTITUTE OF ENGINEERING
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Presentation2(CRYSTAL STRUCTURES).pptx

  • 1. CRYSTAL STRUCTURES VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 2. WHAT IS A CRYSTAL STRUCTURE …..? A crystal structure is defined as the particular repeating arrangement of atoms (molecules or ions) throughout a crystal. Structure refers to the internal arrangement of particles and not the external appearance of the crystal. However, these are not entirely independent since the external appearance of a crystal is often related to the internal arrangement. For example, crystals of cubic rock salt ( NaCl ) are physically cubic in appearance. Only a few of the possible crystal structures are of concern with respect to simple inorganic salts and these will be discussed in detail, however, it is important to understand the nomenclature of crystallography. VIGNAN INSTITUTE OF ENGINEERING FOR WO MECHANICAL ENGINEERING
  • 3. Basic Concepts of Crystal Structure  Study of Properties of Metals by Structure Types of Solids Crystalline Solids The atoms are positined in systematic pattern. E.g. Iron, Copper, Aluminum Non Crystalline Solids The atoms are positined in nonsystematic pattern. E.g. Amorphous materials . VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 4. VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 5. SPACE LATTICE :- A space lattice is an array of points showing how particles (atoms, ions or molecules) are arranged at different sites in three dimensional spaces. Unit cells are easiest to visualize in two dimensions. VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 6. A unit cell is the most basic and least volume consuming repeating structure of any solid. It is used to visually simplify the crystalline patterns solids arrange themselves in. UNIT CELL :- VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 7. LATTICECONSTANTANDANGLE  LATTICE CONSTANT  The lattice constant (or lattice parameter) refers to the constant distance between unit cells in a crystal lattice.  LATTICE ANGLE lattice parameter is one of the physical dimensions and angles that determine the geometry of the unit cells in a crystal lattice. VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 8. CRYSTAL SYSTEMS :- cubic System Axial Lengths and Angles Unit Cell Geometry a=b=c, α = β = γ = 90° tetragonal a = b ≠ c, α = β = γ= 90° orthorhombic a ≠ b ≠ c, α = β = γ= 90° rhombohedral a = b = c, α = β = γ ≠ 90° VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 9. System Axial Lengths and Angles Unit Cell Geometry hexagonal a = b ≠ c, α = β = 90°, γ = 120° monoclinic a ≠ b ≠ c, α = γ = 90°, β ≠ 90° triclinic a ≠ b ≠ c, α ≠ β ≠ γ VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 10. TYPES OF CRYSTAL STRUCTURE 1. Simple Cubic Crystal Structure (SC) 2. Body Centered Crystal Structure (BCC) 3. Face centered Crystal Structure (FCC) 4. Hexagonal Closed Packed Structure (HCP) VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 11. Simple Cubic Crystal Structure (SCC) Ne =No of corner atoms = 8 Nf =No of face atoms =0 Ni =No of interior atoms=0 Navg=Average no of atoms per unit cell = Nc + Nf+ Ni 8 2 1 8 + 0 + 0 8 2 1 Navg=1 VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 12. Body centered Crystal Structure (BCC) Nc= No of corner atoms =8 Nf =No of face atoms =0 Ni =No of interior atoms=1 Navg=Average no of atoms per unit cell =Nc+Nf+ Ni 8 2 1 8 + 0 + 1 8 2 1 Navg=2 VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 13. Face centered Crystal Structure (FCC) Ne =No of corner atoms = 8 Nf =No of face atoms = 6 Ni =No of interior atoms =0 Navg=Average no of atoms per unit cell =Nc + Nf + Ni 8 2 1 8 + 6 + 0 8 2 1 Navg=4 VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 14. Hexagonal Closed Packed Structure (HCP) Nc=No of corner atoms=12 Nf =No of face atoms=2 Ni =No of interior atoms=3 Navg=Average no of atoms per unit cell =Nc + Nf + Ni 6 2 1 12 + 2 + 3 6 1 2 Navg=6 VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING
  • 15. THANK YOU VIGNAN INSTITUTE OF ENGINEERING FOR WOMEN MECHANICAL ENGINEERING