Lecture 06 : Basics of Materials Science - V (Part 01)

IIT Kanpur July 201
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Aug 2, 2024
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students welcome to the lecture number
six and this is the course on a IML in
materials engineering hope you are
enjoying the
lectures and in this portion of the
lectures I've been discussing about the
basics of Material Science
so let's continue on that because these
aspects you must have clear idea in your
mind if you want to design materials
using machine learning or deep learning
approaches so first obviously we are
going to do some recap as usual and I've
been telling this again and again to you
that basics of material science
engineering is basically the connection
between processing structure and
properties almost all materials are
processed to give different kinds of
components right so hence you want to
make something out of a material you
need to use some processing
route and depending on the type of
routes you're going to use the material
structure will change and that's why you
can create different kinds of
structures and which in turn will have a
direct correlation with the property so
that's why it is important to understand
these certain
aspect so that you can actually design
materials with Target properties and
hence use
structure as a playing Ground to achieve
those properties so with this let's
begin and you know structure means
different kind of structures this I've
been telling you again and again please
keep in mind that's why you have been
telling first one is OB atomic structure
because every material in this world is
made of basically or basic unit called
atom and when atoms actually assemble it
can form Crystal or amoral structures we
have not discussed it amoral structure
so far we'll do it later so we have
discussed about crystalline materials so
once you know at a group of atoms come
together and they arrange in a definite
way or regular fashion it form a crystal
and when the crystals actually arrange
in the three dimensional space they can
form micro
structure and properties means we're
talking about mechanical physical
magnetic Electronics electrical all
these kinds of properties you are
important for you to understand rather
fully understand this correlation
between structure with the
properties and as far crystal structure
is concerned most of the metals actually
crystallizes in three different
structures first one is a body Center
Cube that is called BCC structure
and it is a very simple unit cell I can
draw it here and show you that
okay so this is the unit
cell you can draw your cell that's why
I'm drawing and in this unit cell Each
corner will be occupied by one atom
along with that you'll have a atom in
the center now Center atom can be
different type or same type if it's
different type then it's
a order BC structure forget about that
simply consider the central atomies all
same type then is basically called a
simple or PCC structure okay so that's
what it is because this atom is at the
center of the unit cell that's why it is
called a body Center cubic
structure very important materials like
ion mum Tung and chromium these are
widely used they crystallizes the
crystallize in the
structure and that's why is important in
fact there are other materials also have
shown this kind of crystal structure
many Ceramics also well second important
structure which we discussed which is
prevalently present in material system
is f Center cubic structure so therefore
let's say I draw the unit cell so you
should follow me because this is
something you should know very well how
to draw it otherwise if you want to
teach like me you may not be able to do
it yourself this is a cubic cell so now
place the atoms so you have atoms Each
corner of the UN cell right you can see
that and you also atom in the F
centers so there are six pH centers
that's why there are six atom in the
face centers and there are eight Corners
that's why the face Center cubic itself
and you know in this case effective
number of atom is four why it is four
because each cor atom is giving 1/8
because each unit cell can be shared
with eight other unit cells which you
can do yourself very easily that's so 1
by 8 into 8 is 1 and each phase is
shared with another un cell that's why
each face set atom gives half so 6 into
half is three so 1 + 3 is 6 for body C
the Cub un cell the effect atom is two
you have eight atoms in the coordinates
that gives One Atom 1 by 8 into 8
basically 1 by 8 into 8 plus the central
atom is inside the unit cell so it
belongs to the unit cell that's why it
is one that's gives you two so I can
write down 1 by 8 here into 8 + half
into 6 that gives you 4 so this is the
effective number of atoms in the FCC
that's why you see FCC is more dense
back structure the the B CER cubic
structure has about
68% space is filled and fenter cubic has
about
74% space is filled so Body Center cubic
structure is more open than the F Center
cubic structure P center CU structure is
called a close pack structure because
atoms are basically touching each other
in this kind of structure Body Center
cubic structure is not a close pack
structure so many important metal like
copper which is used in IC applications
silver gold nickel lead aluminium
actually form penter cubic structure if
you know Ceramics like carides many of
the carides actually form fenter cubic
structures Tangen caride is one such
naum carbide many carbides actually form
P cubic structure and the last important
structure is hexagonal close pack
structure and this structure is also
widely seen in material system system
okay both in metals and Ceramics so let
me draw an hexagonal cuic unit cell so
first I draw an hexagon and I draw a
little bit perspective way so that you
can see the whole unit cell very nicely
this is an hexagon then I take this
things
up connect it I also take this up
connect it then I also take this up
connect it okay then this one connect it
okay
okay this is hexagon is now you can see
here hexagon has a each pH of the
hexagon has a center Center is occupied
by one atom corers of hexagon is
occupied by each cor Ed by one
atom so and in addition to there are
three atom
inside okay so actually speaking if I
draw this one let's do that yeah
I can take out this in cell which you
can clearly see I'm marking it with with
this red color thing I'll draw it here
also I draw it
here for
your purpose so that you can understand
this is a
rhombohedron okay not a cube rron
basically rbus in three dimensional so
Each corner of the Rus one
atom and you know here at the center you
have one atom so therefore how many
effective number atoms hexagon Crystal
has let us do it from the hexagon six
will be 1 by 6 into 6 and that means 6 +
6 is 12 so 12 1X 6 by
12 and then there are two atoms on the
face Center so 1X 2 by two because this
is shared and there are three atom
inside so 2 + 1 + 3 6 right and here you
see there are only two atoms because
inside one atom and there are
coordinates as eight coordinates as one
by8 so you can consider each of these
any of these as a unit cell doesn't
matter that's how it test understood
hexagonal clack structure is close
packed again it has uh 24% space
occupied by the crystals only remaining
space about 36% space is vacant just
like a standard cubic structure and many
of the important Metals magnesium
titanium zinc as well as many of the
Ceramics will crystallize in this like
aluminium
oxide okay is one of the important
Ceramics which forms hexagonal Crystal
structures many Ceramics are there I
can't remember all of them now but they
form this Crystal stru these three
actually are very important they are
very important
crystal
structure
in
materials
they are widely seen in material
system they are widely seen in the
matrial structure so therefore please
remember these aspects very well now
from the crystal how do you start from
the micro structure very easy you can
actually put crystals large numbers and
from grains right I already talked about
it and then between two grains you will
have boundaries where the atoms are not
arranged properly HP that's why they
called G boundaries so by this way you
can form the whole micr structure so now
you can see that there are two aspects
here in a normal material in the micro
structures one is the green where elment
of atoms are regular other one is the
boundary that's why the bound atoms are
hly aligned or placed so therefore G
boundaries are having lot of free space
present where atoms can migrate a lot of
things can happen okay and this is an
important area of subject and G
boundaries can also be different types
which we are not going to discuss but
there are different types they can also
play role in determining the mechanical
physical properties this is a picture of
the optical microgap of pure iron you
can see here this I've been showing you
for last three lectures so after that we
talked about something about imperf this
is very important actually that's why
I'm talking to you again and again
because no crystal is perfect including
silicon single crystals which use for
your devices like mobile phones or
laptops or any electronic devices by the
way washing
machines they have chips and each chips
has silicon single crystals so they are
also not perfect there are defects
inside it in perfe Rise form because of
inability of Sol solidifying material to
continue replicating the units properly
or it can be also introduced in
purposely like allowing can lead to or
deformation can lead to the three types
of defects we talked about it Point
defects line defects and plan defects
Point defects is nothing but a vacany so
in a metallic structure vacancies have
no charge so it can be simply Bing of
one atom form his location like here you
can clearly see this one atom here is
missing so this atom here is
missing right so this is what is called
vency but for Ceramics is a charg
compounds or charge material so
therefore you cannot have one atom
missing this will lead to imbalance of
charges that's why either you have both
the atoms missing that's called ionic
pair vency or you can have interstitial
possible then there's no loss of any
charge or otherwise you can have Frankle
defects like atom is displaced from his
original position to some intertial
position okay this is very unable
situation you can see here atom cannot
remain but nonetheless it happens so you
can create all kinds of defects then you
have a line defect which is nothing but
a connected group of Point effects that
from a line L structure and we talked
about two dislocation age and screw this
age dislocation is nothing but extra row
atom extra row of atom you can see here
this is the extra row of atom here this
one which is missing at the bottom below
this and this is your sleep
plane correct that's why this is the
symbol it is used and screw dis location
is basically it's just like a spiral
with a lat structure wrapped around the
imperfection line it's just like a screw
if you take a screw and put inside a
wood so that's what it will look like
it's a screw moving inside a crystal so
if you look at from this side it looks
like a
screw so you can also have planner
defects the defects which are extend in
plane like boundaries like twinning is
one such gun b is another one twinning
is basically large scale deformation it
is such way that one part of the crystal
is a mirror image of the other part of
the crystal that's why a twin is called
you can see there a twin plane here this
part of the crystal is Mir image of this
part of the crystal same thing here twin
plane can be extended area also this
part of the crystal is M of the other
part of the crystal on the this right
side so in the micro structure it will
look like a this kind of objects you can
see that it's an extra row atom that
means if I draw a green it will look
like
this that's why is a tnis so this is
something which you are understanding
slowly that atoms the chemistry of our
pieces of the atoms they are the most
important unit of the materials and it's
not only that it is the way they arrange
in a crystal that actually is from the
internal structure of material so
internal structure we mean arrangement
of the atoms basically and this can
dictate micro structure subst structures
or even many other things which we are
not talking about it in addition to that
you have electronic structure electrons
actually bonds with different atoms and
that's also dictates material properties
yesterday in the last lecture I talked
about it so let's talk about little bit
more on this so this is something I
showed you that atoms are the basic unit
they form Crystal Crystal form micro
structures or structures okay here and
then it forms a component so this is
macro
scale and this is
microscale so there's a connection
between these
two and this connection is basically
trying to understand micr structure will
con phases and the defects and defects
can be frequency dislocation twins G
boundaries voids cracks
everything and this can be controlled by
this processes the casting metal forming
powder metal welding or Machining okay
so I'll not talk much of these aspects
we'll directly go to the engineering
materials which started in the last
lecture engineering materials are can be
two types metal and nonmetals non-metal
means polymer Ceramics Composites and
metals means FAS and non feras because
feras is the largest quantity we use in
the world we produce about 1 1,800
million tons of Steels per year in the
world so that's why is the largest T of
material use after Concrete in this
world and that's why they group together
in feros and everything else is non
ferus so feros metal means Steels Steels
are nothing but iron and carbon alloy
with a little bit of carbon about 02 to
about 2% carbon and they can be plain
carbon steel All Steel plain carbon
Steels will have no allo elements added
they are basically like having carbon
concentration varying from2 to 1 weight
per and some other things like
impurities like phosphorus sulfur or
maganese can be present where the alloy
Steels have many alloy elements like
chromium nickel tungsten Molly they
added interally to create Alloys so this
phase diagram I don't want to discuss
much but let me only tell you that this
is the basis for the steel and Caston so
steel composition is varying from about
0 to about 1 percentage cast perc 3.5 to
about 4.5 percentage this is what it is
carbon concentration so this part of the
phase diagram is important part Ste so
here you can see this is FCC oite
phase and then you have parite this is
called BCC phage this is Alpha iron and
then you have centi which is nothing but
a carbide I already discussed about it
that if you add carbon to iron it is
going to form carbides so this is this
mixture of iron and carbide which
actually gives you the best properties
of the steel and steel is a material
which can be modeled actually very
interestingly it has a lot of data to do
a machine learning Bas or deep daring
Bas model
so in a micro structure there will be
two types of things possible one is a
solute Solutions other one is a compound
so let's talk about a little bit of
solute Solutions because solute
Solutions are more widely seen like here
in case of iron carbon this IDE which
FCC solute solution of iron with carbon
so carbon is small quantity but iron is
the largest species large species means
majority species and carbon is added in
a minor quantity that's why this is a
Sol solution of carbon
in Iron similarly Alpha also is a solute
solution but it has very less amount of
carbon about
02 we% of carbon that's what but centi
is not a solute solution but it's a
compound okay so in a phase diagram or
phase mixture you can either have a
solute solution or have a compound and
compounds can be fixed toet or can be
variable stomry possible so but here f3c
is a strict stomry it has has a fixed
composition of carbon about 6.6 78%
carbon and so IFC if you look at it has
carbon about 6.67 weight percentage and
iron is remaining that's about
93 uh you know
33 weight per. so total will go up to
100% that's what is the content of
carbon but it has a fixed isometry that
is you cannot change carbon
concentration much in the i3c or
cementite so that is what we are
discussing a little bit more in detail
manner so that understand so what are
solute solutions they are less like a
liquid solution if I take sugar and put
in water and St it sugar will dissolve
in water and that's nothing but a liquid
solution of sugar in water you can add
even salt also that will also dissolve
in water right or let's talk about even
glucose in water you add glucose into
water it will form a liquid solution
whether same thing can be done in solids
or not that's the question actually
asking yes it is true same thing can be
done in solid also if I add nickel into
copper it forms solid solution
difference between solid and liquid is
what only in state liquid means it's
liquid state solid means in solid state
so here we are showing a phas diagram of
copper and nickel this side is copper
and this side is nickel so this is
copper side this is nickel side you can
see this is 100% this is 100%
copper pure nickel and pure copper and
in between you have a lens sep region is
what is called Liquid Plus solid region
below which you have a Sol solution
called Alpha and since nickel and copper
are both from FCC right Nel copper you
have seen both of them form FCC crystal
structure they have a similar like
latice parameters and they both are
metals same almost similar row of
periodic tables no not same row Peri
same column but they are similar
properties actually so they mix together
nicely and form solid
solution that's something which is
unique for the NC and copper and this is
what it is shown so in all concentration
of nickel and copper you can form solute
Solutions so we'll show you in detail
manner solute Solutions can be two types
one is where you add substitute in
solute solution that means you are
adding an atom which is replacing the
other atom like if I take a nickel and
replace nickel atoms by copper then it
form a Subs solute solution you can see
here copper and zinc also form a Subs
Sol solu right hand side you can see
here these are zinc atoms the these gray
atoms and the other atoms actually
copper so you can have mixture of two
atoms possible on the other hand you can
also have interstial solute solution
what are these this actually iron atom
let's say and these are carbon atoms if
atoms are the solute solution atom is
small solute atom is small okay by the
way here the majority atom is called
solvent and the minority atom is called
solute very clearly right solvent atoms
actually large number solute atoms are
small number that's why they solvent
atoms called majority and solute atoms
are called minority so here you can see
both of them have same size almost
similar size right copper and zinc has
almost similar size copper and nickel
has almost similar size but iron and
carbon has different size car is carbon
is very very small compared to Iron so
it cannot replace carbon iron atom it
can only goes into the voids or the
intertial positions of the iron latice
so iron is a FCC or BCC ltis it can go
there that's what it is so you can see
in the three dimensional picture also
the black atoms are carbon atoms so
we'll talk about much how this voids
already have talked about some of the
voids and other things tal voids in
Diamond cubic structure we'll talk more
about it how it this atoms can go inside
the voids and form a solute solution in
the next part of the lecture
thank you
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