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KME303 UNIT 1
CRYSTAL DEFECTS
2
CRYSTAL DEFECTS AND IMPERFECTIONS
An ideal crystal is a perfect crystal in which each atom
has identical surroundings. Real crystals are not perfect.
A real crystal always has a large number of
imperfections in the lattice.
Since real crystals are of finite size, they have a surface
to their boundary.
At the boundary, atomic bonds terminate and hence the
surface itself is an imperfection.
One can reduce crystal defects considerably, but can
never eliminate them entirely.
3
CRYSTAL DEFECTS AND IMPERFECTIONS
The study of imperfections has a two fold purpose, namely,
A better understanding of crystals and how they affect the
properties of metals.
Exploration of possibilities of minimizing or eliminating
these
defects.
The term “defect” or “imperfection” is generally used to
describe any deviation from the perfect periodic array of
atoms in the crystal.
4
CRYSTAL DEFECTS AND IMPERFECTIONS
Crystal imperfections can be classified on the basis of their
geometry as,
Point Imperfections,
Line imperfections
Surface (or) plane imperfections and
Volume imperfections
5
6
POINT IMPERFECTIONS
They are imperfect point- like regions, one or two
atomic diameters in size and hence referred to as
‘zero dimensional imperfections’.
There are different kinds of point imperfections.
VACANCIES
If an atom is missing from its normal site in the
matrix, the defect is called a vacancy defect.
It may be a single vacancy, divacancy or a trivacancy.
7
POINT DEFECT-VACANCY
8
POINT IMPERFECTIONS
In metals vacancies and created by thermal excitation.
When the temperature is sufficiently high, as the atoms vibrate
around their regular positions, some acquire enough energy to leave
the site completely.
When the regular atom leaves, a vacancy is created.
A pair of one cation and one anion can be missed from an ionic
crystal.Such a pair of vacant ion sites is called Schottky imperfection.
This type of defect is dominant in alkali halides.
PH 0101 UNIT 4 LECTURE 7 9
SCHOTTKY IMPERFECTIONS
PH 0101 UNIT 4 LECTURE 7 10
SUBSTITUTIONAL IMPURITY
It refers to a foreign atom that substitutes for or
replaces a parent atom in the crystal.
Pentavalent or trivalent impurity atoms doped
in Silicon or Germanium are also substitutional
impurities in the crystal.
PH 0101 UNIT 4 LECTURE 7 11
SUBSTITUTIONAL IMPURITY
PH 0101 UNIT 4 LECTURE 7 12
INTERSTITIAL IMPURITY
An interstitial defect arises when an atom occupies a
definite position in the lattice that is not normally occupied
in the perfect crystal.
In crystals, packing density is always less than 1.
If a small sized atom occupies the void space in the parent
crystal without disturbing the parent atoms from their
regular sites, then it is called as ‘interstitial impurity’.
PH 0101 UNIT 4 LECTURE 7 13
INTERSTITIAL IMPURITY
PH 0101 UNIT 4 LECTURE 7 14
FRENKEL IMPERFECTION
In ionic crystals, an ion displaced from a regular site to an
interstitial site is called ‘Frenkel imperfection’.
As cations are generally the smaller ones, it is possible for
them to get displaced into the void space.
Anions do not get displaced as the void space is too small
compared to the size of the anions.
A Frenkel imperfection does not change the overall electrical
neutrality of the crystal. This type of defect occurs in silver
halides and CaF2.
PH 0101 UNIT 4 LECTURE 7 15
DIAGRAM SHOWING THE
IMPERFECTIONS
16
EFFECT OF POINT IMPERFECTIONS
The presence of a point imperfection introduces distortions
in the crystal.
In the case of impurity atom, because of its difference in size,
elastic strains are created in the regions surrounding the
impurity atom.
All these factors tend to increase the potential energy.
17
LINE IMPERFECTIONS
The defects, which take place due to dislocation or
distortion of atoms along a line, in some direction are
called as ‘line defects’.
Line defects are also called dislocations. In the geometic
sense, they may be called as ‘one dimensional defects’.
A dislocation may be defined as a disturbed region
between two substantially perfect parts of a crystal.
It is responsible for the phenomenon of slip by which
most metals deform plastically.
18
LINE IMPERFECTIONS
The two types of dislocations are,
Edge dislocation
Screw dislocation
19
EDGE DISLOCATION
In perfect crystal, atoms are arranged in both vertical and
horizontal planes parallel to the side faces.
If one of these vertical planes does not extend to the full
length, but ends in between within the crystal it is called ‘edge
dislocation’.
In the perfect crystal, just above the edge of the incomplete
plane the atoms are squeezed and are in a state of compression.
Just below the edge of the incomplete plane, the atoms are
pulled apart and are in a state of tension.
20
The distorted configuration extends all along the edge
into the crystal.
Thus as the region of maximum distortion is centered
around the edge of the incomplete plane, this distortion
represents a line imperfection and is called an edge
dislocation.
Edge dislocations are represented by ‘’ or ‘‘ depending
on whether the incomplete plane starts from the top or from
the bottom of the crystal.
These two configurations are referred to as positive and
negative edge dislocations respectively.
EDGE DISLOCATION
21
EDGE DISLOCATION
22
BURGERS VECTOR
The magnitude and the direction of the displacement are
defined by a vector, called the Burgers Vector.
In figure (a), starting from the point P, we go up by 6 steps,
then move towards right by 5 steps, move down by 6 steps
and finally move towards left by 5 steps to reach the starting
point P.Now the Burgers circuit gets closed.
When the same operation is performed on the defect crystal
(figure (b)) we end up at Q instead of the starting point.
23
BURGERS VECTOR
So, we have to move an extra step to return to P,
in order to close the Burgers circuit.
The magnitude and the direction of the step
defines the Burgers Vector (BV).
BV = = b
The Burgers Vector is perpendicular to the edge
dislocation line.
QP















24
BURGERS VECTOR
25
SCREW DISLOCATION
In this dislocation, the atoms are displaced in two separate
planes perpendicular to each other.
It forms a spiral ramp around the dislocation.
The Burgers Vector is parallel to the screw dislocation line.
Speed of movement of a screw dislocation is lesser compared
to edge dislocation. Normally, the real dislocations in the
crystals are the mixtures of edge and screw dislocation.
26
SCREW DISLOCATION
27
SURFACE IMPERFECTIONS
Surface imperfections arise from a change in the stacking
of atomic planes on or across a boundary.
The change may be one of the orientations or of the
stacking sequence of atomic planes.
In geometric concept, surface imperfections are two-
dimensional. They are of two types external and internal
surface imperfections.
28
GRAIN BOUNDARIES
They are the imperfections which separate crystals or grains of
different orientation in a poly crystalline solid during nucleation or
crystallization.
It is a two dimensional imperfection. During crystallization, new
crystals form in different parts and they are randomly oriented with
respect to one another.
They grow and impinge on each other.
The atoms held in between are attracted by crystals on either side
and depending on the forces, the atoms occupy equilibrium
positions.
29
GRAIN BOUNDARIES
These positions at the boundary region between two
crystals are distorted.As a result, a region of transition
exists in which the atomic packing is imperfect.
The thickness of this region is 2 to 10 or more atomic
diameters.
The boundary region is called a crystal boundary or a
grain boundary .
The boundary between two crystals which have different
crystalline arrangements or different compositions, is
called as interphase boundary or commonly an interface.
30
GRAIN BOUNDARIES
31
32
TILT BOUNDARIES
This is called low-angle boundary as the orientation
difference between two neighbouring crystals is less than 10°.
The disruption in the boundary is not so severe as in the
high-angle boundary. In general low-angle boundaries can be
described by suitable arrays of dislocation.
Actually a low-angle tilt boundary is composed of edge
dislocation lying one above the other
The angle or tilt will be
where b = Burgers vector and
D = the average vertical distance between dislocations.
D
b


33
TILT BOUNDARIES
34
TWIN BOUNDARIES
If the atomic arrangement on one side of a boundary is
a mirror reflection of the arrangement on the other side,
then it is called as twin boundary.
As they occur in pair, they are called twin boundaries.
At one boundary, orientation of atomic arrangement
changes.
At another boundary, it is restored back. The region
between the pair of boundaries is called the twinned
region.
These boundaries are easily identified under an optical
microscope.
35
TWIN BOUNDARIES
36
STACKING FAULTS
Whenever the stacking of atomic planes is not in a
proper sequence throughout the crystal, the fault caused
is known as stacking fault.
For example, the stacking sequence in an ideal FCC
crystal may be described as A-B-C-A-B-C- A-B-C-
……. But the stacking fault may change the sequence to
A-B-C-A-B-A-B-A-B-C. The region in which the
stacking fault occurs (A-B-A-B) forms a thin region and
it becomes HCP.
This thin region is a surface imperfection and is called
a stacking fault.
37
STACKING FAULTS
38
VOLUME IMPERFECTIONS
Volume defects such as cracks may arise in crystals when
there is only small electrostatic dissimilarity between the
stacking sequences of close packed planes in metals.
Presence of a large vacancy or void space, when cluster of
atoms are missed is also considered as a volume
imperfection.
Foreign particle inclusions and non crystalline regions
which have the dimensions of the order of 0.20 nm are also
called as volume imperfections.
39

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types of crystal defects, dislocations and descriptions

  • 2. 2 CRYSTAL DEFECTS AND IMPERFECTIONS An ideal crystal is a perfect crystal in which each atom has identical surroundings. Real crystals are not perfect. A real crystal always has a large number of imperfections in the lattice. Since real crystals are of finite size, they have a surface to their boundary. At the boundary, atomic bonds terminate and hence the surface itself is an imperfection. One can reduce crystal defects considerably, but can never eliminate them entirely.
  • 3. 3 CRYSTAL DEFECTS AND IMPERFECTIONS The study of imperfections has a two fold purpose, namely, A better understanding of crystals and how they affect the properties of metals. Exploration of possibilities of minimizing or eliminating these defects. The term “defect” or “imperfection” is generally used to describe any deviation from the perfect periodic array of atoms in the crystal.
  • 4. 4 CRYSTAL DEFECTS AND IMPERFECTIONS Crystal imperfections can be classified on the basis of their geometry as, Point Imperfections, Line imperfections Surface (or) plane imperfections and Volume imperfections
  • 5. 5
  • 6. 6 POINT IMPERFECTIONS They are imperfect point- like regions, one or two atomic diameters in size and hence referred to as ‘zero dimensional imperfections’. There are different kinds of point imperfections. VACANCIES If an atom is missing from its normal site in the matrix, the defect is called a vacancy defect. It may be a single vacancy, divacancy or a trivacancy.
  • 8. 8 POINT IMPERFECTIONS In metals vacancies and created by thermal excitation. When the temperature is sufficiently high, as the atoms vibrate around their regular positions, some acquire enough energy to leave the site completely. When the regular atom leaves, a vacancy is created. A pair of one cation and one anion can be missed from an ionic crystal.Such a pair of vacant ion sites is called Schottky imperfection. This type of defect is dominant in alkali halides.
  • 9. PH 0101 UNIT 4 LECTURE 7 9 SCHOTTKY IMPERFECTIONS
  • 10. PH 0101 UNIT 4 LECTURE 7 10 SUBSTITUTIONAL IMPURITY It refers to a foreign atom that substitutes for or replaces a parent atom in the crystal. Pentavalent or trivalent impurity atoms doped in Silicon or Germanium are also substitutional impurities in the crystal.
  • 11. PH 0101 UNIT 4 LECTURE 7 11 SUBSTITUTIONAL IMPURITY
  • 12. PH 0101 UNIT 4 LECTURE 7 12 INTERSTITIAL IMPURITY An interstitial defect arises when an atom occupies a definite position in the lattice that is not normally occupied in the perfect crystal. In crystals, packing density is always less than 1. If a small sized atom occupies the void space in the parent crystal without disturbing the parent atoms from their regular sites, then it is called as ‘interstitial impurity’.
  • 13. PH 0101 UNIT 4 LECTURE 7 13 INTERSTITIAL IMPURITY
  • 14. PH 0101 UNIT 4 LECTURE 7 14 FRENKEL IMPERFECTION In ionic crystals, an ion displaced from a regular site to an interstitial site is called ‘Frenkel imperfection’. As cations are generally the smaller ones, it is possible for them to get displaced into the void space. Anions do not get displaced as the void space is too small compared to the size of the anions. A Frenkel imperfection does not change the overall electrical neutrality of the crystal. This type of defect occurs in silver halides and CaF2.
  • 15. PH 0101 UNIT 4 LECTURE 7 15 DIAGRAM SHOWING THE IMPERFECTIONS
  • 16. 16 EFFECT OF POINT IMPERFECTIONS The presence of a point imperfection introduces distortions in the crystal. In the case of impurity atom, because of its difference in size, elastic strains are created in the regions surrounding the impurity atom. All these factors tend to increase the potential energy.
  • 17. 17 LINE IMPERFECTIONS The defects, which take place due to dislocation or distortion of atoms along a line, in some direction are called as ‘line defects’. Line defects are also called dislocations. In the geometic sense, they may be called as ‘one dimensional defects’. A dislocation may be defined as a disturbed region between two substantially perfect parts of a crystal. It is responsible for the phenomenon of slip by which most metals deform plastically.
  • 18. 18 LINE IMPERFECTIONS The two types of dislocations are, Edge dislocation Screw dislocation
  • 19. 19 EDGE DISLOCATION In perfect crystal, atoms are arranged in both vertical and horizontal planes parallel to the side faces. If one of these vertical planes does not extend to the full length, but ends in between within the crystal it is called ‘edge dislocation’. In the perfect crystal, just above the edge of the incomplete plane the atoms are squeezed and are in a state of compression. Just below the edge of the incomplete plane, the atoms are pulled apart and are in a state of tension.
  • 20. 20 The distorted configuration extends all along the edge into the crystal. Thus as the region of maximum distortion is centered around the edge of the incomplete plane, this distortion represents a line imperfection and is called an edge dislocation. Edge dislocations are represented by ‘’ or ‘‘ depending on whether the incomplete plane starts from the top or from the bottom of the crystal. These two configurations are referred to as positive and negative edge dislocations respectively. EDGE DISLOCATION
  • 22. 22 BURGERS VECTOR The magnitude and the direction of the displacement are defined by a vector, called the Burgers Vector. In figure (a), starting from the point P, we go up by 6 steps, then move towards right by 5 steps, move down by 6 steps and finally move towards left by 5 steps to reach the starting point P.Now the Burgers circuit gets closed. When the same operation is performed on the defect crystal (figure (b)) we end up at Q instead of the starting point.
  • 23. 23 BURGERS VECTOR So, we have to move an extra step to return to P, in order to close the Burgers circuit. The magnitude and the direction of the step defines the Burgers Vector (BV). BV = = b The Burgers Vector is perpendicular to the edge dislocation line. QP               
  • 25. 25 SCREW DISLOCATION In this dislocation, the atoms are displaced in two separate planes perpendicular to each other. It forms a spiral ramp around the dislocation. The Burgers Vector is parallel to the screw dislocation line. Speed of movement of a screw dislocation is lesser compared to edge dislocation. Normally, the real dislocations in the crystals are the mixtures of edge and screw dislocation.
  • 27. 27 SURFACE IMPERFECTIONS Surface imperfections arise from a change in the stacking of atomic planes on or across a boundary. The change may be one of the orientations or of the stacking sequence of atomic planes. In geometric concept, surface imperfections are two- dimensional. They are of two types external and internal surface imperfections.
  • 28. 28 GRAIN BOUNDARIES They are the imperfections which separate crystals or grains of different orientation in a poly crystalline solid during nucleation or crystallization. It is a two dimensional imperfection. During crystallization, new crystals form in different parts and they are randomly oriented with respect to one another. They grow and impinge on each other. The atoms held in between are attracted by crystals on either side and depending on the forces, the atoms occupy equilibrium positions.
  • 29. 29 GRAIN BOUNDARIES These positions at the boundary region between two crystals are distorted.As a result, a region of transition exists in which the atomic packing is imperfect. The thickness of this region is 2 to 10 or more atomic diameters. The boundary region is called a crystal boundary or a grain boundary . The boundary between two crystals which have different crystalline arrangements or different compositions, is called as interphase boundary or commonly an interface.
  • 31. 31
  • 32. 32 TILT BOUNDARIES This is called low-angle boundary as the orientation difference between two neighbouring crystals is less than 10°. The disruption in the boundary is not so severe as in the high-angle boundary. In general low-angle boundaries can be described by suitable arrays of dislocation. Actually a low-angle tilt boundary is composed of edge dislocation lying one above the other The angle or tilt will be where b = Burgers vector and D = the average vertical distance between dislocations. D b  
  • 34. 34 TWIN BOUNDARIES If the atomic arrangement on one side of a boundary is a mirror reflection of the arrangement on the other side, then it is called as twin boundary. As they occur in pair, they are called twin boundaries. At one boundary, orientation of atomic arrangement changes. At another boundary, it is restored back. The region between the pair of boundaries is called the twinned region. These boundaries are easily identified under an optical microscope.
  • 36. 36 STACKING FAULTS Whenever the stacking of atomic planes is not in a proper sequence throughout the crystal, the fault caused is known as stacking fault. For example, the stacking sequence in an ideal FCC crystal may be described as A-B-C-A-B-C- A-B-C- ……. But the stacking fault may change the sequence to A-B-C-A-B-A-B-A-B-C. The region in which the stacking fault occurs (A-B-A-B) forms a thin region and it becomes HCP. This thin region is a surface imperfection and is called a stacking fault.
  • 38. 38 VOLUME IMPERFECTIONS Volume defects such as cracks may arise in crystals when there is only small electrostatic dissimilarity between the stacking sequences of close packed planes in metals. Presence of a large vacancy or void space, when cluster of atoms are missed is also considered as a volume imperfection. Foreign particle inclusions and non crystalline regions which have the dimensions of the order of 0.20 nm are also called as volume imperfections.
  • 39. 39