-CRYSTALLOGRAPHY 
(ME010 304) 
BY 
Asst.Prof. ABHILASH KK
MATERIAL SCIENCE 
 Study of materials is basically a study 
of structure and properties of 
engineering materials and on 
investigation of structure-property 
relationship 
 Structure-the arrangement of internal 
components of matter in a material 
 Property- response of material when 
exposed to an external stimulus 
asst.prof. ABHILASH KK 2
LEVEL OF STRUCTURE 
 MACRO SCOPIC: Substance visible to 
naked eye 
 MICROSCOPIC: Structure obtained 
under optical microscope.magnification 
upto 1500 times linear 
 Sub structure: refers to the structure as 
obtained using a microscope 
 Crystal structure: showing arrangement 
of atoms with in the materials. The main 
technique employed for determining the 
crystal structure is X-ray diffraction 
asst.prof. ABHILASH KK 3
 Electronic structure: it refers to 
arrangement of electrons in outer 
orbital of individual atoms in a solid 
material. spectroscopic technique are 
used in determining electron structure 
 Nuclear structure: provides the details 
regarding constituents with in the 
nucleus of atoms in the material. 
nuclear magnetic response and 
mossbaur studies are the usual 
technique used 
asst.prof. ABHILASH KK 4
CLASSIFICATION OF 
MATERIALS 
 Classification based on chemical 
make –up 
 Classification based on arrangement 
of atoms 
 Classification based on application 
asst.prof. ABHILASH KK 5
Classification based on chemical 
make up 
 Metals-metals are the elements with 1,2,3 
valance electrons in outer shells. engineering 
materials are either metals or its alloys 
Ferrous & non-ferrous 
 Ceramics-ceramics are in organic 
components between metallic and non – 
metallic elements.these includes oxides 
,carbides,nitrides,borides,cilicates etc.of 
various metals. Example- glasses, clay..etc 
 Polymers-organic compounds based on 
carbon ,hydrogen and other non-metalic 
elements .They are either natural material or 
synthetically processed materials like 
plastics,phenol ..etc 
asst.prof. ABHILASH KK 6
 Composites- composites are 
combination of other above three 
categories to produce best , high 
quality engineering materials. 
asst.prof. ABHILASH KK 7
Classification based on 
arrangement of atoms in a 
material  Crystalline material-in which atoms are 
arranged in regular, repetitive manner 
having long range order. Example-materials 
and some ceramics 
 Amorphous materials: in which atomic 
arrangement does not have any order of 
atoms 
Example-ceramics and a few polymers 
 Molecular materials: grouping of atoms 
in short range order exists. 
Example- most of the polymers 
asst.prof. ABHILASH KK 8
asst.prof. ABHILASH KK 9
Based on application 
 Structural materials-no moving 
parts(eg.-dams,buildings) 
 Materials for machines-moving 
parts(automobile) 
 Materials for devices-materials for 
small parts of devices like measuring 
instruments 
asst.prof. ABHILASH KK 10
Bonding force 
 Consider two atoms which are 
separated by a small distance ,then we 
can see that force between atoms is very 
high 
 force can be classified in to two-attractive 
force (fa),repulsive force(fr) 
 Net force fn= fa+fr 
 At the point where net force equal to 
zero is known as point of equilibrium 
where fa and fr balance each other 
 Here the distance between centers of 
two atoms(equilibrium state) is known as 
bond length ,denoted as r0 
asst.prof. ABHILASH KK 11
 Where ‘E0’ is the minimum energy required 
separate two atoms in an infinite position. 
asst.prof. ABHILASH KK 12
CRYSTAL STRUCTURE 
asst.prof. ABHILASH KK 13
HCP 
asst.prof. ABHILASH KK 14
 . SPACE LATTICE:-space lattice is 
defined as an array of points in three 
dimensions in which every point has 
identical to that every other points in the 
array 
 UNIT CELL:-The tiny block formed by 
arrangement of small group of atoms is 
called a unit cell. The unit cell is the 
smallest component of the space lattice 
 LATTICE POINT:-if Each atoms in lattice 
is replaced by a point, then each point is 
called lattice point 
asst.prof. ABHILASH KK 15
 Co-ordination number:-it is defined as 
the number of nearest atoms which 
are directly surrounding a given atoms 
 SIMPLE CUBIC STRUCTURE:-6 
 BODY CENTERED CUBIC-8 
 FACE CENTERED CUBIC-12 
asst.prof. ABHILASH KK 16
TOTAL NO.OF ATOMS IN A 
UNIT CELL 
asst.prof. ABHILASH KK 17
 FOR SIMPLE CUBIC STRUCTURE-asst. 
prof. ABHILASH KK 18
ATOMIC RADIUS 
 ATOMIC RADIUS:-defined as the 
distance between nearest neighbours in 
a crystal of a pure element 
 Simple Cubic Structure:-In this structure, 
atoms touch each other along the 
lattice, as shown in Fig. 
 a = 2r 
 or r = a/2 
 SC 
asst.prof. ABHILASH KK 19
 BCC 
asst.prof. ABHILASH KK 20
asst.prof. ABHILASH KK 21
 FCC 
asst.prof. ABHILASH KK 22
ATOMIC PACKING 
FACTOR(APF) 
 Atomic packing factor(APF)-defined as 
the fraction of volume occupied by the 
atoms in a unit cell, compared to the 
total available volume of the unit cell. 
asst.prof. ABHILASH KK 23

MATERIAL SCIENCE-CRYSTALLOGRAPHY (ATOMIC RADIUS,APF,BONDING ENERGY)

  • 1.
    -CRYSTALLOGRAPHY (ME010 304) BY Asst.Prof. ABHILASH KK
  • 2.
    MATERIAL SCIENCE Study of materials is basically a study of structure and properties of engineering materials and on investigation of structure-property relationship  Structure-the arrangement of internal components of matter in a material  Property- response of material when exposed to an external stimulus asst.prof. ABHILASH KK 2
  • 3.
    LEVEL OF STRUCTURE  MACRO SCOPIC: Substance visible to naked eye  MICROSCOPIC: Structure obtained under optical microscope.magnification upto 1500 times linear  Sub structure: refers to the structure as obtained using a microscope  Crystal structure: showing arrangement of atoms with in the materials. The main technique employed for determining the crystal structure is X-ray diffraction asst.prof. ABHILASH KK 3
  • 4.
     Electronic structure:it refers to arrangement of electrons in outer orbital of individual atoms in a solid material. spectroscopic technique are used in determining electron structure  Nuclear structure: provides the details regarding constituents with in the nucleus of atoms in the material. nuclear magnetic response and mossbaur studies are the usual technique used asst.prof. ABHILASH KK 4
  • 5.
    CLASSIFICATION OF MATERIALS  Classification based on chemical make –up  Classification based on arrangement of atoms  Classification based on application asst.prof. ABHILASH KK 5
  • 6.
    Classification based onchemical make up  Metals-metals are the elements with 1,2,3 valance electrons in outer shells. engineering materials are either metals or its alloys Ferrous & non-ferrous  Ceramics-ceramics are in organic components between metallic and non – metallic elements.these includes oxides ,carbides,nitrides,borides,cilicates etc.of various metals. Example- glasses, clay..etc  Polymers-organic compounds based on carbon ,hydrogen and other non-metalic elements .They are either natural material or synthetically processed materials like plastics,phenol ..etc asst.prof. ABHILASH KK 6
  • 7.
     Composites- compositesare combination of other above three categories to produce best , high quality engineering materials. asst.prof. ABHILASH KK 7
  • 8.
    Classification based on arrangement of atoms in a material  Crystalline material-in which atoms are arranged in regular, repetitive manner having long range order. Example-materials and some ceramics  Amorphous materials: in which atomic arrangement does not have any order of atoms Example-ceramics and a few polymers  Molecular materials: grouping of atoms in short range order exists. Example- most of the polymers asst.prof. ABHILASH KK 8
  • 9.
  • 10.
    Based on application  Structural materials-no moving parts(eg.-dams,buildings)  Materials for machines-moving parts(automobile)  Materials for devices-materials for small parts of devices like measuring instruments asst.prof. ABHILASH KK 10
  • 11.
    Bonding force Consider two atoms which are separated by a small distance ,then we can see that force between atoms is very high  force can be classified in to two-attractive force (fa),repulsive force(fr)  Net force fn= fa+fr  At the point where net force equal to zero is known as point of equilibrium where fa and fr balance each other  Here the distance between centers of two atoms(equilibrium state) is known as bond length ,denoted as r0 asst.prof. ABHILASH KK 11
  • 12.
     Where ‘E0’is the minimum energy required separate two atoms in an infinite position. asst.prof. ABHILASH KK 12
  • 13.
  • 14.
  • 15.
     . SPACELATTICE:-space lattice is defined as an array of points in three dimensions in which every point has identical to that every other points in the array  UNIT CELL:-The tiny block formed by arrangement of small group of atoms is called a unit cell. The unit cell is the smallest component of the space lattice  LATTICE POINT:-if Each atoms in lattice is replaced by a point, then each point is called lattice point asst.prof. ABHILASH KK 15
  • 16.
     Co-ordination number:-itis defined as the number of nearest atoms which are directly surrounding a given atoms  SIMPLE CUBIC STRUCTURE:-6  BODY CENTERED CUBIC-8  FACE CENTERED CUBIC-12 asst.prof. ABHILASH KK 16
  • 17.
    TOTAL NO.OF ATOMSIN A UNIT CELL asst.prof. ABHILASH KK 17
  • 18.
     FOR SIMPLECUBIC STRUCTURE-asst. prof. ABHILASH KK 18
  • 19.
    ATOMIC RADIUS ATOMIC RADIUS:-defined as the distance between nearest neighbours in a crystal of a pure element  Simple Cubic Structure:-In this structure, atoms touch each other along the lattice, as shown in Fig.  a = 2r  or r = a/2  SC asst.prof. ABHILASH KK 19
  • 20.
     BCC asst.prof.ABHILASH KK 20
  • 21.
  • 22.
     FCC asst.prof.ABHILASH KK 22
  • 23.
    ATOMIC PACKING FACTOR(APF)  Atomic packing factor(APF)-defined as the fraction of volume occupied by the atoms in a unit cell, compared to the total available volume of the unit cell. asst.prof. ABHILASH KK 23