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Chapter I
The unquenching thrust among the scient~sts to impmve tlic pn\pcrt\es of
available materials lead to the development of new materials with astounding physicul
properties. One such area in which researchers are t ~ i n g to find out new lnugnctlc
materials with unbelievable physical propertles hetter than knitcs to have flowahility.
unlque thermal propeny like h a t transfer abll~ty to work etfwtively, swlunt, dampers
etc. In addition, in later part of 20Ih century. the new nano pm~clcs w e into being to
utilize the above unbelievable physical properties. Nanomugnetism and maynetlc
behaviour of nano part~cle are net+ areas where pcwple wsntd to exploit their advantaps.
Hence the process of understanding the magnetic hchavior of nanopan~cles needs to hegiti
w~th the fundamentals of magnctlsm. These foundat~ons will cnablc to havr (in 111-depth
understanding and appreciat~on of the uniquc behavior of magnetic nanopartlclcs and
their deviations from respective hulk properties.
1.1 Origin of magnetism
The force of magnetism, experienced at a distance, has always fascinated
mankind. Magnetism originates from the mov~ment of elwtric charges. All materiuls
exhibit some kind of magnetic responses. However most of these eN'bts are very small.
The electrons In an atom govern magnet~c propertles of matter in two difircnt ways The
first is the electron acting as a splnning charged sphere, where the spin rcs~mblcs the
magnetic field of a tiny bar magnet. The spin is a quantum mechanical propdy wh~ch
can be oriented in one of two directions, the upward ( f ) direction or the downward (1 ) direction. The second one is the effect of the electron circulating around the nucleus of
the atom, which resembles a current loop. The flow of charge in a circular current loop
produces magnetic lines of force known as a dipole [ I ]
The magnetic moment of a material is the measure of the strength of the dipole.
An electron in an atom has a magnetic moment due to its spin only or due to both spin
and orbital motion. An orbiting electron responds to an applied magnetic field, which is
gowned by the spin configuration of the atoms of the material. The orbital motions of
e l e m n s create atomic current loops, which generate the magnetic field. Therefore, all
Chapter l
materials inherently possess mapellc fields generated by the o h ~ t a l mcltlons of the~r
electrons
1.1.1 Magnetism in materials
Materials are classified by the~r response to an externally applied magnctlu ficld.
Descriptions of orientations of the magnetic naments in a material enable us to identify
different fonns of magnetism observed in naturc (Flg.l.1). Fivc hns~c types of magnetism
can be described as diamagnetism, paramagnetlsni, f'erromug~lct~sm, ant~tiem~magnetism
and fernmagnetism.
Figure 1.1 Different types of magnetic behavior 121
In the presence of an externally applied magnetic field the atomic current loops
created by the orbital motion of electrons tend to oppose the applied field. The materials
which display this type of weak repulsion to a magnetic ficld known as diamagnetic.
However, diamagnetism is very weak and therefore any other form of magnetic behavior
that a material may possess usually over-powers the effects of the current loop. In terms
of eiectronic configurations of materials, diamagnetism is observed in materials with
Chapter 1 -~
filled electronic sub-shells where the mapettc moments u e pii~rat and overall cancel
each other. Dlarnagnaic matenals have a negative susceptibility ( x < 0 ) and we&ly
repel the applied magnetic field. The eti'mts of these atomic currcnl Imps un. suppn3sd
if the material displays a net magnetlc moment or has long-range ordering of magti~qic
moments.
All the other types of magnetic behavior.ohserved in muterials tve at least partially
attributed to unpaired electrons in atomic shells, offen 111 the 3d or 4t'shells ofeach atonl.
Materials whose atomic magnetic moments are uncoupled dtsplay paranlagnetlsm
Therefore, paramagnetic materials have no long-range order. A gcilcrulizd descript~c~n of'
paramagnetism is when each atom carries a magnetlc moment, which pafl~ully al~gns with
the direction of applied magnetic field and hence enhances the mngnetlc tlux dens~ty.
This field acts independently on each atomic dipole. Therefore, there IS no long-range
order. There is a small positive magnetic susceptibil~ry ( X 2 0 ) (31. Materials, wh~ch
possess ferromagnetism, have aligned atomic magnetic moments of 'qual magnitude and
their crystalline structure allows for direct coupling interactions between the moments.
which may strongly enhance the flux dens~ty. Further, the aligned moments In
ferromagnetic materials can confer a spontantnus magnetlzatlon In the absence of an
applled magnettc field. Materials, which retain their permanent magnetization in the
absence of an applied field, arc known as hard magnets. The hard magnetic malcnals
retain a wnsiderable amount of magnetic energy; even when the magnetlc lield is
removed. These matenals may be used to form permanent magnets. Materials, which are
easy to magnetise and demagnetize, are called soft magnetic materials. The soft magnetic
materials retain a small amount of magnetic energy even after the magnetic field is
removed. These materials are also called as temporary magnets.
Materials having atomic magnetic moments of equal magnitude arranged in a
antiparallel fashion display antifemmagnetism. The exchange interaction coupia the
moments such that they are a n t i p d k l leaving a zero net magnetization [4]. Above the
NCI temperature (TN) thermal energy is sufficient to cause the equal and oppositely
aligned atomic moments to randomly fluctuate leading to a disappearance of their long-
range order. In this state, the material exhibits paramagnetic behavior. Ferrirnlypletism is
similar to antifemmagnetism where two different sub-lattices exist with
Chapter I -
antiferromagnetic exchange interactions. However, the malyl~tudcs of the two d i l T m t
types of moments, arranged antiparallel, not being cqual in magnitude lead to a net non
zero magnetization.
1.1.2. Theory of ferromagnetism and ferrimagnetisrn
A complete discussion of the theory of femagnet ism is beyond the smpc of this
introduction. However, the fundamentals are provided to addrcss the magnctizotion
processes in ferrimagnetic nanoparticles and thelr dlspers~ons. We~ss tint developed the
molecular theory of ferromaqetism in early 1Q00s, uh~cl i gave o sen11-quantltatlve
description. The theory is based on the assumption that each atornlc dlpolc IS subjected to
a local field that is proportional to the mubmetization summ~vi over all thc other dip)lcs in
the material [1,4,5]. Later, the development of quantum mechanics led lo the conccpt of
exchange interactions between two atoms which is a spin-dependent intcract~ons. The
spin exchange interaction is derived From the Paul1 exclus~on princ~ple, whcrc antiparallel
spln arrangements in an atomic shell arc forbidden [ h ] . The exchange Interaction is
essentially different from coulomhic cnerglcs applicable to direrent spln configurations
in the sample [j]. Above a certain temperature, known as the C'uric tcmpcraturc ('I'( ). the
aliqmcnt of the moments in ferromagnetic and Serrimagnetic matenals is lost due to
thermal tnergy and the material displays paramagnetic hchavior.
Ferrimagnetism is similar to antiferrornagnetism sincc the spln arrangemcnts arc
antiparailel, however, the sub-lattice magnetlc moments are of unequal magnitude, which
produces a net magnetization in an applied field. The net magnetization observed in
fenimagnetic materials is typically lower than that of ferromagnetic matenals primarily
because of the antiparallel spin arrangement in the former. Despitc the differences in
alignments of magnetic moment the theories that describe ferromagnetism can he applied
to fenimagnetism with modifications to account for the existence of the sub-lattice
interactions and antiparallel orientations of spins.
The ferrimagnetic crystalline structure is comprised of two different magnetic ions
occupying two kinds of lattice sites, tetrahedral 'A' site and octahedral 'B' site [1,5]. For
spinel crystalline structures, such as magnetite, surprisingly all exchange interactions
Chapter I - --
(AA, AB and BB) favor antlparallel allpment. The fernmapet~c behavior IS due to thc
strong AB lnteractlon. [ I ]
1.1.3. Ferrites
Femtes are one class of the magnetic niatcnals. They ure also calld fi.nimugnrtic
materials. These are complex compounds of vanous metals and ox~des, which exhibit thc
phenomenon of fermmagnetism. They are non-metals, hut possess strong ferromagnetic
properties such as domain structure, hysteresis remwence and coew~vity etc.. sinlilar to
those of metallic ferromagnets.
1.1.4. Structure and Magnetic Properties of Spinel Ferritcs
The magnetic part~cles possess a spinel structure. This structure consists ofa cuhic
close packing of oxygen ions with the metallic ions occupying the tetrahedral ' A ' s~ te and
octahedral 'B' interstitial sites [7]. The structure of a cuhic splnel ferntc IS shown In
Fig. 1.2.
Fig.1.2. Structure of vpinel lerrlte
The unit cell contains eight formula units ABzO,, with eight tetrahedral 'A ' sites,
16 octahedral 'B' sites and 32 oxygen atoms. The 32 large oxygen ions form a cubic
closed packed (fcc) m y with two kinds of interstitial sites mupied by the metallic ions.
Chapter I --
One IS called tetrahedral 'A' srte because catron IS located at the center ol a tetrahedron
with comers occupled by the oxysen Ions. The= are 64 tetrahedral sites surrounded by 4
oxygen Ions The other 'B' site IS called octahedral slte. because the oxygen ions around
catlon occupy the comers of an octahedron There are 32 octahedral s~tes surrounded by 6
oxygen Ions [l.7-IS]
The general formula for representing the spin4 stmctum is given as
where Me is a d~valent metal ions such as Fe" , ~ o " . NI". MI,". %II" ctc.. und
'x ' is the degree of invers~on. The octahedral 'B' posltlons arc usually shown hy squure
brackets.
According to distribution of cations the ferrospinels arc of following types.
x= l leads to normal spinel
x =O leads to inversc spinel
O< x< I mixed spinel
I ) In normal spinel structure, all Me2' ions occupy A-sites. The structural formula of
such ferrites is Me2'[~e2''] 0 4 ' . This type of distribution exists In the ~ i n c fkrritc: Zn!'[ Fe3' Fe"l 0 2.
4 .
2) In inverse spinel structure, all ~ c " are In 'B' plsltlons and Fe" ions are equally
distributed between 'A' and 'B' sites. The structural formula of these ferrites IS
Fe"[Me2' Fe"'~04''. Magnetite (FelOd). Nickel fenita (NiFc204) and Cobalt ferrites
(CoFe204) have inverse spinel structure.
3) In mixed spinel structure, the cations Me2' and Fe" occupy both ' A ' and 'B'
positions. The structural formula of such ferrites is (~e~',1., ,~e'*. ) [ ~ e ' * & Fe"2.J 04'.
where parameter 'x' indicates the degree of inversion. CoFe20, represent this typc of
structure. If it an invmion degree of x 4 . 2 and its structural formula is:
(CO~'~.~F~"O.~)[CO~*O~F~"I s]04'..
Chapter I - -
Neel explained the magnetic propaty of ferrites. He postulated that the magnetic
moments of fenites are a sum of magnetic moments of individual sublatt~ces. In the
fcrrospinels, the magnetic structure depends upon the types of the magnetic ions resld~ng
on the sublattice 'A ' consisting of cattons in tetrahedral positions and sublatt~ce '6' with
cations in octahedral psitions and the rclat~vc strengh of the inter (JAll) and the intrii
(JAA and JBE) sub-lattice interactions. Since In spinel. all the thrtv excllarigc intmctions
viz: JAA, JBB, JAB are negative, there exists a compatit~on hetwcc~i intra and inter suh-
lattice interactions and generally. JAB >> Jtls '> JAA The spontaneous niagnet~zation 111
spinel ferrites is then the diflercnce between the net magnetlc moment of 'B' s ~ t c and 'A '
site ions. This interaction leads to coniplcte or partla1 (u~iconipcnsutd)
antiferromagnetism (ferrimabmetism) [XI
The possibility of changing continuously the ccincentratlon o f non-nlagnctlc on
like Zn, Cd, Mg. Ca etc, in the d~fferent sub-lattices makes the krntes very Itltercstlng
material to study the appearance of the various magnetic structures like ferrimugnetlc
order, superparamagnetic, spin glass depcndlng on the rclat~ve s ~ t c prefcrcncc oftlie ions
present. These non -magnetic ions may enter e~ther one o f the suh-latticcs or hoth. 'I'hc
diamagnetic substitution in ' A ' sub lattice represent the most clear cut case, in wh~ch the
Zn substituted ferrites hcing a well known example, bwausc o f J A A - - ~ . thc 'AD'
interactions are effect~vely weakened.
If the number of substituted ions In ferromagnet~c materials is not too high (up to
30 to 40%) then the overall ferromagnetic arrangements cannot bc destroyed even at m o
Kelvin. But some loosely bound spins may become locally canted or disordered at higher
temperature Tq,. For larger substitution the 'AB' interaction may become comparable to
or even weaker than the 'BB' interactions and which may lead to a non-wllinear spin
structure.
1.2. Ferrofluid
F m f l u i d &e a colloidal suspension of nano sized magnetic particles in a cania
liquid. The cania liquid can be an organic solvent, water, or a variety of oil bases. The
magnetic particles are coated with a d q m m t to prevent agglomeration of particles.
Chapter I
These suspensions are stable and maintain their properties at extreme temperatures and
over a long period of time.
1.2.1. Ferrofluid: components
Ferrofluids are new class of magnetic materials,ahich combine both fluid and
magnetic properties comparable to those of a solid magnet. This rare combination of
fluidity and the capability of interacting with a magnetic field are achieved in ferrofluids
because of their composition [16]. Ferrofluids constitute of single domain particles
suitably dispersed in a camer liquid (two phases) with the help of a surfactant (three-
components). In short, ferrofluid is single domain two phase and three component system.
The two phases of the system are the solid magnetic phase (dispersed or discontinuous),
which is colloidally dispersed in a magnetically passive liquid phase.
The three components required to prepare ferrofluids are
1. Magnetic particles
2. Canier liquid
3. Surfactant (dispersant)
1.2.2. Magnetic Particles
The nature of the particle is ferromagnetic e.g., Fe, Co, Ni or ferrimagnetic like
magnetite, maghemite or mixed femtes. Scholten reported that, though a large number of
magnetic materials exist; only a few are candidates for making magnetic fluid [17].
Ferromagnetic materials have high saturation magnetization, but when the size is reduced
to the nano range, surface oxidation becomes more pronounced. Hence ferrimagnetic
materials have low saturation magnetization when compared to ferromagnetic materials.
In addition, fenimagnets, i.e., most of the ferrites are stable in atmosphere. Moreover,
adsorption of surfactant over the particle surface should also be possible. Hence, mostly
ferrites are preferred forthe preparation of ferrofluids.
The magnetic particles to be dispersed should be of single domain, size of which
normally ranges from 30 to 100 A' [IS]. The size of the magnetic particles should be
C h a p t e r 1
small enough to be suitably dispersed in a canier liquid, but not too small, since at sizes
less than 10-20 A' their magnetic properties tend to disappear [18]. Therefore, it is
advantageous to develop the ability to prepare particles having controlled size and size
distribution still retaining uniformity among other important properties such as
composition, qstallinity and magnetization.
1.2.3. Car r i e r liquid
Camer liquid plays a dominant role in deciding the suitability of magnetic fluid
for different applications, as it governs the overall physical properties of a magnetic fluid.
Camer liquid should be so chosen as to cater to the need of specific application.
Commonly used carrier liquids are water, hydrocarbon, ester, mineral and vacuum oil,
silicon oil, fluorocarbon etc. Properties of carrier liquids depend on the ultimate use. In
general, the camer-liquid must have following characteristics. It should be magnetically
passive and chemically stable. Its vapor pressure, viscosity and other physical properties
must be chosen according to the type of application. It should be compatible with the
surfactant.
Low evaporation rate, low viscosity and chemical inertness are desirable
properties for the carrier liquid. Scholten has discussed the evaporation and solidification
problems along with the advantages and disadvantages of using different camer liquids,
the availability of dispersant etc [17]. The canier liquid should bind itself with the free
chain of the surfactant. Finally, the carrier liquid should be compatible with the
environment (construction materials) with which the magnetic fluid comes in contact.
1.2.4. Surfactant o r Dispersant
The requirements meant for a surfactant are rather specific. It should have an
anchor group that has a high affinity for the particle surface, as well as a flexible tail of
proper length, which is soluble in the canier liquid. The surfactant therefore has to be
tailored to the particlesurface as well as to the carrier liquid [17]. The surfactant should
also be chemically stable in the environment in which it is to be used. Surfactant must
prevent particles from aggregating.
Chapter I
For sterically stabilized ferrofluids, steric repulsion between particles is usually
achieved by coating the particle surface with long chain monomolecular layer of an
appropriate surfactant, which accounts for the stability of a magnetic fluid. A molecule of
a simple surfactant consists of a linear chain of non-polar hydrocarbon atoms at one end
and an anchor polar group of atoms at the other end. The anchor group is called polar
head. The chain is called non-polar tail. The surfactant is so chosen that its molecules rn
interact with the magnetic particles, through a bond of hnctional group, to form a tightly
bonded monomolecular layer around the particles. The long-chain fragment of a
surfactant molecule must resemble that of the carrier liquid, so that the thermal motion is
not inhibited.
The choice of a surfactant for each particular application presents a rather dificult
problem, and is usually selected experimentally. Scholten has given the choices of
appropriate surfactant for different carrier liquids with their structures [19]. Usually
unsaturated fatty acids having chain length between Cg - CIX are used as surfactants. This
is because for shorter chain length acid, formation of clump occurs while for saturated
fatty acids the complete dispersion of magnetic particles is not achieved. The best
stabilizers available namely the polymeric ones, generally take up too much space
because of the long chain length. This will reduce the number concentration of the
magnetic particles and hence the magnetic property of the fluid. It has been reported that
CI2 - CIS acids can stabilize water based magnetic fluid despite their slight insolubility in
water [20]. Oleic acid (CIR) is the most commonly used dispersing agent for hydrocarbon-
based (with relatively low molecular weight) magnetic fluid. Oleic acid is used as the
surfactant for the present work and hence study on mode of adsorption of surfactant (oleic
acid) becomes mandatory.
1.2.5. Mode of adsorption of surfactant
For preparing ferrofluids having heptane (less viscous and volatile hydrocarbon)
as the camer liquid, ole!c acid is used as surfactant. Oleic acid contains a polar head and
non-polar tail.
Chapter I
Oleic acid:
P d u Non.plutril head r l r 1
CHdCH2)rCH = C H ( C H z ) , C - O H
Polar head - Carboxylic group Tail - Non polar end ( hydrocarbon chain)
The polar head reacts with the surface bound OH ions and get adsorbed on the
particle surface and non-polar chain provides a hydrophobic sheath to individual particles
[21]. Excepting the anchor part (polar head chemically adsorbed on the particle surface),
the adsorbed molecules (tail) perform thermal movements. When a second particle
approaches closely, the chains have to bend aside and their motion is restricted severely.
Thus when magnetic particles coated with a layer or shell of surfactant, long chain
molecules come close together. A repulsive force (referred to as a steric force) arises
thereby preventing aggregation of particles avoiding sedimentation.
Theoretical calculations can give the required amount of surfactant. However the
suitable amount of a surfactant can be decided only through experiments. The stabilizer
must not only prevent particles from agglomeration but also provide the formation of a
colloidal solution in canier liquid. For clear understanding, the appearance of the particles
coated with surfactant is given in Fig.l.3. The effective thickness of the solvated sheath
is therefore very important in order to determine the stability of magnetic fluid against the
inter-particle attractive forces like van der Waals and magnetic attractive forces. Hence it
will be appropriate to study the stability requirements.
Chapter 1
Fig.l.3 Appearance of the surfactant coated particles
1.3. Stability conditions for ferrofluids
The practical applications of ferrofluid are decided considering the stability of the
fluid and the vapor pressure of the canier liquid at the operating temperature [17]. In
order to ensure the suitability of the magnetic fluid for the particular application, the
stability of fluid is an important parameter. A magnetic fluid is called a stable one if no
ageing or phase separation occurs after a long exposure to a gradient magnetic field [2].
In order to prevent the phase separation particle size should be reduced such that the
Brownian motion keeps them in suspension. This is the most important factor but not the
only requirement. A magnetic fluid becomes stable when several inter particle attractive
as well as repulsive forces are balanced. The energy of the thermal motion in the fluid
must exceed that of attractive forces between the particles.
In a magnetic fluid the inter particle forces encountered are magnetic attraction,
van der Waals adraction, steric repulsion or electric repulsion.
The various energy terms involved are
Thermal energy = k~ T
Magnetic energy = po MHV
Gravitational energy = ApVg L
where,
ke is the Boltzmann constant,l.38 x 1v2' ~ . k "
Chapter I
T is the absolute temperature in Kelvin
p, is the permeability of free space and has the value 4n x 10" Him
V = n d3 1 6 in m' Volume of a spherical particle of diameter 'd'
L is the elevation in the gravitational field.
M is the magnetization
H is the applied field
1.3.1. Stability in a magnetic field gradient
The particles are attracted to the higher-intensity regions of a magnetic
field, while thermal motion counteracts the field force and provides statistical motions
that allow the particle to sample all portions of the fluid volume [2]. The magnetic energy
(b MHV) represents the reversible work in removing a magnetized particle from a point
in the fluid, where the field is H to a point in the fluid that is outside the field.
when some part of the fluid volume is located in a field free region, then stability
against segregation is favored by a high ratio of the thermal energy to the magnetic
energy
Thermal energy = k B T Magnetic energy p,MHV
Rearranging and substituting for the volume of a sphere gives an expression for
maximum particle size
Considering Fe304 particles subjected to the magnetic gradient field, it can be
shown that the size is d98.1 x lw9m or 8.1 nrn. From the calculation, it can be
seen that the particle size cannot be much larger than the range of a colloid lOnm to
remain stable against segregation in a field gradient [2]
C h a p t e r I
The concentration of particles in regions of more intciise magnetic field is Illnitd.
Steric hindrance puts an upper limit on the particle number concentration. Although
concentration gradient can be established in situation like this, when the field is removed
particles of a well-stabilized ferrofluid spontaneously redistribute throughout the fluid
volume over a period of time.
1.3.2. Stability against Gravitational Field
Gravity constantly pulls an individual particle downward in the container
while thermal agitation tends to keep the particle disperscd throughout the fluid matrix.
This is similar to a magnetic force providing unidirectional forcc. Thc rclativc influencc
of gravity to magnetism is descrihcd hy the ratio
gravitational energy A p g l = -- magnetic energy poM H
The ratio is approximately equal to 0.047. Thus b~avity is less of a threat to
the segregation than in a magnetic lield [2].
1.3.3. Stability against magnetic agglomeration
A typical ferrofluid contains particles of the order of 10~'im' and collisions
between particles are frequent. Hence if the particles adhere together agglomeration will
be rapid. Each particle is permanently magnetized, so more energy to separate a pair of
particles of diameter 'd' is needed when the particles are aligned.
m, .m, = m2
(m,.rXm,.r)= m'r"
is the dipole -dipole pair energy
Chapter 1 --- --
where L = 2Sld. with S surface to surface separation d~stancc. Whcn the panlclcs are in
contact,
Again thermal agitation is available to disrupt the agglomerates, with the
effectiveness of the disruption governed by the ratio
thermal energy 24k ,T dipole - dipole contact energy = m]
Accordingly for particles to escape aglomeration, this ratio must bc b~cater than
unity,
Hence particle size is given by
From t h ~ s equation for magnetic particles at room temperature the diameter of the
particle should be less than or equal to 9.8nm.
1.3.4. Net interaction curve
The algebraic sum of attraction and repulsion energies gives the net potential
energy curve. Fig.l.4. shows the net potential energy curve [2]. It is seen that the net
potential energ)! curve presents an energy barrier of more than 20ksT in order to prevent
the agglomeration. The sum of attraction energy is equated to repulsion energy
A value of ' 6 ' , thickness of stabilizing layer is calculated (6=2nm for D=lOnm) which
gives a reasonable energy banier say 25ke.T.
Chapter I
Fig.l.4. Potential energy versus surface-to-surface separation of sterically stabilized
lOnm size particle
1.3.5. Dispersant Structural Guidelines
The polar adsorbing group can be carboxyl, sulfosuccinate, phosphate, phosphoric
acid etc. The polar reactive group may be located at the head of the dispersant or
distributed over the length of a polymer. These coating take up a good deal of volume and
limit the concentration of magnetic solid in the colloidal magnetic fluids as given by
where 9, is the volume fraction of magnetic solid and
cp, the volume fraction of coated particle.
For 6 = 2 m and d=lOm, q, = 0.74 and (p,= 0.27.
The increase in particle packing leads to a rapid increase of colloidal viscosity.
Hence fluids with solid fraction of less than 20 vol% alone can provide flowability.
C h a p t e r I
1.4. Superparamagnetism: Fine particle a n d magnetic properties of ferrofluids
Ferrofluids usually exhibit superparamagnetic behavior [22]. The typical particle
size in a ferrofluid should be about 10 nm, which is smaller than a size of magnetic
domain [2]. Because of the nano-size, magnetic fluidJ contain only single domain
particles. Therefore they have a permanent magnetic moment proportional to their
volume. Hence each particle is permanently magnetized [18]. The particles experience
appreciable thermal translation that maintains them in suspension against the force of
gravity, while in the absence of field, thermal re-orientation of particles results in zero
remanence and coercivity, i.e. ferrofluids are magnetically soft. The magnetic moments of
ferrofluids are much larger than the magnetic moment of a paramagnet and it is for this
reason, ferrofluids are called as supcrparamagnetic [2.23].
If the ferrofluid is to be superparamagnetic, the dipole moment of each particle
should be free enough to rotate. Each single domain particle in the camer bears magnetic
moment 'm' that can freely orient itself in the direction of an external magnetic field 'H'.
Thermal motion tends to disorient parallel alignment of magnetic moments to 'H'. The
effect of these two forces determines the resulting value of magnetization 'M' (magnetic
moment per volume M=mlV) 1241
1.4.1. Magnetic relaxation observed in ferrofluids
Usually two modes of rotation are possible in ferrofluids. The two different
processes help in understanding how the magnetization of these fluids obeys the changes
in external field. If the magnetic moment of the particle is fixed with respect to its crystal
structure, the relaxation will take place by the physical rotation of the particles. Such
particles are called magnetically hard, and the relaxation of magnetically hard particles
will take place by rotation of whole particle. This way of rotation of the particle is called
Brownian rotation and the relaxation processis called as Brownian relaxation [24]. The
Brownian Relaxation time is given by,
Chapter I
where 'Vh' denotes the hydrodynamic volume of the particles (including the surfactant
layer), '11' is the dynamic viscosity of the liquid.
On the other hand, if the magnetic moment is rotating inside the particle relative
to the crystal structure, the rotation is called Neel rotation and the relaxation is called
Neel relaxation. This kind of relaxation of particles, magetically weak, can take place if
the thermal energy is high enough to overcome the energy barrier provided by the
crystallographic anisotropy of the magnetic material. The Neel relaxation time is given by
the expression
where 'K' is the anisotrdpy constant of the particles and 'El' is the Lannour frequency of
the magnetization vector in the anisotropy field of the particle [24].
The Neel relaxation depends on the volume of the magnetic core of the particle,
while the Brownian relaxation is influenced by its hydrodynamic size. In the case of
mono-dispersed ferrofluid the relaxation of magnetization will follow the process of
shorter relaxation time. For smaller particles 'TN' will be smaller than 're' and the
relaxation will take place by the rotation of the moment inside the particle.
Near the critical diameter (transition from Nee1 to Brownian relaxation) the
relaxation takes by a mixture of both given by effective relaxation time.
In the case of ferrofluids some of the particles relax by Nee1 process and some
other by Brownian process due to poly dispersive nature.
Assuming that ferrofluid is a system of non-interacting spherical particles having
thermally agitated magnetic dipoles, the well-known relation deduced by Langevin for
paramagnetic system can be used to describe the dependence of the magnetization of the
fluid 'M' on the strength of the magnetic field 'H'.
Chapter 1
The Langevin argument ' a ' represents the ratio of magnetic interaction energy of
the particle mH to the thermal energy 'ksT' [2].
1.5. Ferrofluid: Historical background
In the early part of the 20Ih century, almost all the efforts of scientists were put
into dealing with the diverse phenomena of the solid matter. The conceptual paradigm of
the solid matter is the picture of a dense periodic lattice and basis of atoms. This
paradigm has been spectacularly successful in describing the properties of the solid matter
and continued to underlie much of the ongoing work [ I , 8-10]. In the mean time, the other
significant progress in science and technology was, the sprouting of the nanoscale science
and technology [25,26]. Nanoscience and technology emphasize materials of small
dimensions, typically IOOnm, which connect the macroscopic and the microscopic areas
of research. Strict control of the chemical and structural perfection of the samples is the
essence of the nanoscale technology. These novel techniques capable of fabricating
nanoscale building blocks have opened up a revolutionary method of exploring material
properties and device characteristics, and the work is expanding rapidly worldwide.
Therefore, nanoscience is a very broad and interdisciplinary area of research. Hence this
brings tremendous common interest of research to chemists, physicists, engineers and
biologists. Generally, the worldwide research in nanoscience is carried out as
nanoparticles, nanostructured materials and nano devices. Among these categories, the
work on the dispersion of nanoparticles in liquids leads to a hybrid of colloidal science
and nanoscience.
There have been many attempts in the past decade to create platform for
technologies to have a colloidally stable ferrofluid, which combine both fluidic and
magnetic properties. New technological demands have motivated the preparation of
ferrofluids. They are stable colloidal suspensions of magnetic particles in a liquid
medium. They respond to magnetic field and thus have found their way into a variety of
applications such as sealing rotating shafts and delivery of drugs in a human being. Early
Chapter 1
in 1779, Gowan Knight tried to disperse iron particles in water, but the mixture did not
have a long-term stability [27]. Following him, Bitter prepared a colloidal solution of
magnetite, which was stable under gravity but became unstable in the presence of
magnetic fields [28]. Elmore, Craik and Griffiths [29-311 produced fine dispersions of
magnetite (Bitter colloid), which was used to detect the boundaries of magnetic domains
in bulk ferromagnetic materials. But as the parti~les~sisize was too large to prevent
sedimentation it did not have the quality of ferrofluid. In 1960's, a particular class of
materials appeared named ferrofluid, which was also called magnetic fluid 1321. A major
breakthrough in developing magnetic fluids was achieved by Papell [32]. In 1965, Papell,
under a grant by NASA, first developed successfully a method for making the magnetic
colloid in kerosene by wet ginding with steel balls in presence of a surfactant (Oleic
acid). Then he synthesized magnetic fluid which can be mixed with rocket fuels so that
fuels can be pumped under zero gravity condition by means of external magnetic tields.
This motivated Papell to develop an additive to missile fuel such that the fuel could be
kept by magnetic means from entraining vapour during pumping [32].
In 1968, Papell was the first to report the fonation of colloid magnetic
nanoparticles dispersions with oleic acid [33]. In the mid of 1960's, Neuringer and
Rosensweig performed a substantial amount of the pioneering work in developing
physic0 chemical aspects of ferrofluid. They were interested in preparing ferrofluids and
used them for magneto caloric energy conversion devices [34-361. Gable and Kerr
employed chemical synthesis, which has a remarkable solubility in water [37]. All these
ferrofluids use a surface adsorbed layer of long-chain surfactant, polymer or protein
molecule to provide a short- range repulsion preventing particles from sticking to each
other.
In the case of magnetite, particle can be prepared from the co-precipitation of
hydroxides from an aqueous solution of ~ e ~ ' and ~ e " in the mole ratio of approximately
1:2 using a base [38]. Khalafalla and Reimer prepared magnetic fluids using the above
mentioned particle by peptization techniques [38]. In 1978, Scholten gave a review of the
chemical and physical problems associated with the preparation of h o f l u i d , which listed
the advantages and disadvantages, associated with different camer liquids 139). Massart
Chapter I
developed ferrofluids in aqueous media that are stabilized by the electric double layer
mechanism [40].
Massart proposed a convenient chemical method of synthesizing ionic ferrofluids.
The fine particles of femte were precipitated and then dispersed in water using an
appropriate particle surface treatment [40]. This methoiwas widely used to synthesize
several ferrite particles and to obtain aqueous and non aqueous ferrofluids [41,42]
Massart, in 1981, studied aqueous colloidal suspensions using surfactants to stabilize the
system known as sterically stabilized ferrofluids. But suspension can also be stabilized by
the presence of a charge on the particles (electrostatically), which are known as charge
stabilized ferrofluid or ionic ferrofluids [40].
Hoon et al. have reported the preparation of colloidal solution of nickel particles
by the irradiation of nickel carbonyl with ultrav~olet light and by the reduction of
nickelocene [43]. Co-precipitation process is an extremely versatile method of producing
femte particles. Particles of different size and magnetic properties may be prepared by
simply controlling the experimental conditions. Massart, Cabuil and his co-workers
showed that the particles of the desired size can be prepared by controlling the mole
fraction ratio of ~ e " : ~ e ~ ' , their concentration, and that of the alkali medium[41,44,45].
Davies et al. studied the effect of precipitation temperature on particle size, the
effect of heating the precipitate in the alkaline medium, and the effect of addition of
surfactant to the reaction mixture [46]. Nakatani and Furubayashi et al. prepared iron
nitride particles by two methods, first by plasma chemical vapour deposition (CVD)
reaction of iron pentacarbonyl with nitrogen gas and second one, by heating a solution of
iron pentacarbonyl in kerosene containing a surfactant in which a constant stream of
ammonia was passed. It might be also possible to prepare alloy particle of the transition
metals by the thermolysis of mixed-metal organometallic compounds in the presence of
surfactants [47,48].
Fujita et al. reported that ferrites have relatively low Nee1 temperature (-100°C)
and thus high thenno magnetic coefficient at these temperatures, wuld be used to study
thennomagnetic convection [49]. Nakatsuka prepared temperature sensitive fluids for
Chapter 1
heat transfer applications [SO]. Misra et al. have studied the preparation of ferrotluid by
reverse micelle technique [S 1-53].
Currently, various magnetic fluids were prepared by different techniques using
various solvents for different technological applications. These magnetic fluids are also
known as ferrofluid.
1.5.1. Advancement in Co-Zn substituted ferrites for preparation of ferrofluids
The physical properties of Co -Zn nanoparticles are of current interest due to their
size-dependent behavior observed in the nanometer length scale, high crystallinity and
temperature sensitive application. Several groups of workers reported thc production of
cobalt zinc particles. Thomas et al. reported preparation of a very narrow size particle
ideal for the production of stable colloids [54]. Hess and Parker did detailed investigation
in the presence of different copolymers of acrylonitril-styrene in the reaction solution
showed that greater the concentration of polar groups along the polymer chain, the
smaller the size of the particles formed [5S]. Smith reported that the reaction is polymer-
catalyzed, which results in the formation of a polymer-carbonyl complex which then
decomposes to form elemental cobalt [56]. Anantharaman et al. has studied acicular
gamma fenic oxide containing cobalt by using oxalate precursors method [57]. Papirer et
al. showed that the decomposition could also be catalyzed by the presence of surfactants
[58]. Charles and Well reported that by selecting an appropriate surfactant, the size of the
particle can be controlled effectively [59]. They found that the saturation magnetization
of the particles to be consistently lower (75%) than that of the bulk value of 17900 Gauss
(l.79T) [S9]. Measurements of the magnetic anisotropy of cobalt particles have been
undertaken by several groups of workers [59, 601. Lattice constant for Co-Zn femtes, has
been reported by Jin-Ho Lee et al. [61]. Yeong 11 Kim et al. have synthesized CoFe204
magnetic nanoparticles by temperature controlled co-precipitation method [62]. Shi-Youg
Zhan et al, have reported the surface modification by surfactant adsorption (Oleic acid) on
Fe304 and CoFezOl [63]. Wagener and Blums have also reported the preparation of
stable colloidal based oil [64]. Massart has prepared the ionic based manganese and
cobalt ferrites [65]. Dey and Ghose has reported the preparation of the Coo.zZna.sFe204
fine particles by chemical co-precipitation method followed by sintering [66]. Jeyadevan
Chapter 1
has successfUlly prepared nearly monodispersed single-domain cobalt femte particles,
which could be used for the high-density recording media [67]. Morais et al, reported the
possibility of controlling the size of nanoparticla using different stirring speeds 1681.
Temperature sensitive magnetic fluid having Coo 3Zm 7Fe204 particles was used for the
study of thennal convection [49]. Fannin et al. showed the preparation of diester based
ferrofluid with Coo7Zm 1Fe204 nanoparticles [69]. Arulmlylgan et al, have synthesized
Col.,Zn,Fe204 nanoparticles with x varying from 0.1 to 0.5. [70]. Gul and Maqsood have
studied the influence of Zn-Zr ions on physical and magnetic properties of co-
precipitated cobalt ferrite nanoparticles [71]. Park et al. has studied size-controlled
magnetic nanoparticles with lecithin for biomedical applications [72]. Abu Bakar reported
liquid-liquid phase-transfer synthesis of magnetite nanocrystals affording enhanced size
reduction[73]. Structural, magnetic and electrical properties of Col-,Zn,Fe204
synthesized by co-precipitation method has been studied by Gul 1741. Giovanni
Baldi et al. has reported the control of the particle size and surface state and their effects
on magnetic properties of cobalt femte nanoparticles [75]. Upadhyay and his co-workers
have reported the effect of size and synthesis route on the magnetic properties of
chemically prepared nanosize ZnFe204 1761. Yimin Xuan, Qiang Li and Gang Yang have
reported on the synthesis and magnetic properties of Mn-Zn ferrite nanoparticles [77].
1.6. Ferrofluids: application
In the recent years there has been an increased interest in the application of
ferrofluids. Magnetic fluids are an interesting group of liquids because they have liquid
properties and act like ferromagnetic material. The applications of ferrofluids are often
based on their controllability by an external magnetic force in addition to their fluid
properties. Thus, a number of different applications of ferrofluids in various fields have
been investigated.
The magnetic control of ferrofluids forced strong efforts in the design of
applications using the influence of a magnetic fluid. Berkovsky et al. have used to
Position the fluid inside a technical device, which leads to several applications [78]. Some
of them reached commercial importance and are widely used in day-to-day life. For
example, a loud speaker consists mainly of a membrane connected with the voice coil
Chapter I
being located in the magnetic field of a permanent magnet system. For high power
loudspeakers or speakers with a reduced size as they are used in car Hi-Fi systems, the
ohmic heat produced in the voice coil leads to a critical limitation of the maximum power
of the speaker. Placing a ferrofluid in the magnetic field around the voice foil increases
thermal conductivity in this region and enables thus an increased heat transfer to the
speaker structure. This increases the cooling p ~ s s i b i l i t i e s ~ d connected with an increased
cooling, there by, the maximum power of the system can be increased [79,80]. Besides
this for thermal application, Raj et al. reported the application of ferrofluid in D'Arsonval
galvanometer, stepper motors and ferrofluid sensors [81]. John Philip et al. showed that
the ferrofluid could be used as a new optical technique for the detection of defects in
ferromagnetic materials 182,831. Ferrofluids are also used in mechanical systems like
bearings as frictionless sealing [78]. Charles in his invited paper reported the use of
ferrofluid as magnetic ink [84]. Childs et al. explained use of magnetic fluid to grind the
surface [85]. Recently, ferrofluids have also been used in biomedical field. Biological
application using maghemite ferrofluids: magnetic cell sorting and magnetocytolysis were
reported by Roger et al. [86]. Especially, treatment of cancer by magnetic hyperthermia
[87,88], magnetic drug targeting 1891 eye surgery [90] are gaining much attentilatior. in
recent days.
1.7. State of problem and motivation
From the literature survey, it is clear that synthesis and characterization of
transformer oil based ferrofluid has not been studied extensively for different types of
ferrofluid. This thesis projects to address the problem of preparation of transformer oil
based ferrofluid, which could be a possible candidate for solving the heat transfer and
thermo magnetic problems.
1.7.1. Ferrofluids for heat transfer enhancement
Heat transfer in a fluid having a temperature gradient is accompanied by natural
convection caused by hon-uniform density distribution (Archimedes force or Buoyant
force). In the case of ordinary fluids the more dense layers tend to move downwards
displacing the less dense layers. But thennoconvective motion does not develop, if denser
layers are at the bottom. Similarly in the magnetic fluids, the layers with higher
Chapter i
magnetization tend to move in the direction of magnetic field gradient, provided the
layers with less magnetization are in this direction. But if the magnetization increases in
the direction of field gradient, magnetically induced convection for thermal dissipation
will not be possible [16]. The driving force and conditions (both temperature and
magnetic field should oppose each other) for thermomagnetic convection are depicted in
Fig.l.5.
Fig.l.5 Conditions for thermomagnetic convection
When a magnetic fluid, whose magnetization strongly depends on temperature
(temperature sensitive magnetic fluid), is heated in a non-uniform magnetic field and the
gradient of magnetic tield intensity coincides with the temperature gradient, a
destabilizing magnetic body force appears in the fluid. 'This force can drive a convective
flow that is purely controlled by the strength and direction of the applied magnetic
field 1911.
If a volume element of the fluid with temperature 'T' and Magnetization 'M' is
displaced adiabatically to a position 'TI' and 'MI' in the direction of the temperature
gradient, it will find itself in a region of high temperature, T P T and lower magnetization
MI<M. This is because the direction of magnetization gradient is opposite to that of the
temperature gradient (shown in the Fig.l.5). The volume element will be surrounded by
hotter fluid and 'MI' will be less than 'M' (as a rule, aMlaT<O). Therefore the volume
element will have higher magnetization than the surrounding and will thus experience a
force in the direction of initial displacement [24,92].
Chapter I
Thus, if the vectors 'VH' and 'VT' are parallel, any displacement of the fluid
element from the equilibrium position will result in a force tending to the displacement of
the fluid from the equilibrium position and promote the development of convective
motion in the fluid. Magnetically induced convection for thermal dissipation can be
achieved only in the case of magnetic fluids whose mamizat ion changes considerably
in a temperature gradient, provided the magnetic field intensity is maximum at the high
temperature region (as seen in Fig. 1 .S.). Normal magnetic fluids cannot serve this purpose
ind requires explicitly temperature sensitive magnetic fluids.
1.7.2. Temperature sensitive magnetic fluid
For different technological applications, one has to synthesize magnetic fluids
with varying physical properties. Thermomagnetic energy conversion using ferrofluids
proposed during the early stage of research has not yet been fully realized because of the
need for improved material properties [2]. In order to use ferrofluids for heat transfer
application or energy conversion devices, it is necessary to use a fluid with a large
pyomagnetic coefficient (dM1aT)~ i.e., fluid with a high saturation magnetization and a
low Curie temperature [93].
The particles, which are commonly used for the preparation of magnetic fluids,
are magnetite (FelOh), maghemite (yFezO1) substituted femtes etc., [79,94-1201. These
particles have high saturation magnetization and Curie temperature higher than the
boiling point of the carrier liquid. Hence in order to prepare a temperature sensitive
ferrofluid, particles having Curie temperature lower than the boiling point of the carrier
liquid and relatively high magnetization are required. This is because the change in
magnetization with respect to temperature is large near the Curie temperature region. It is
well known that for the inverse spinels ( ~ e ~ ~ ) * [ ~ e ~ ~ ~ e ~ + ] ~ 0 4 with Me2+ = Fez+, co2*,
~ i " and CU*' have a C.urie temperature (Tc) between 728 K and 858 K. Due to strong
'AB' and 'BB' interactions compared to 'AA' interactions the Curie temperature
depends on the respective exchange integrals 'J' as
Chapter I
where 'ke' is the Boltzmann constant, 'n,,' is the n u m a of nearest exchange-coupled
neighbors and 1 S lis the absolute spin value [121]. For Fel04, the change in
magnetization with temperature was found to be large between 500-700 K.
Hence Fe304 cannot be utilized practically for energy conversion or thermal
dissipation purpose, as the boiling point of most of the camer liquid is lower than
473 K [121].
In the case of MnFe204, 80% of the ~ n ~ ' ions occupy the .A' site while the
remaining 20% occupies the 'B' site, t h ~ s results in the reduction of the exchange
interaction between 'MnA' and 'Fee' by a factor of 2 compared to 'FeA-Fee' interactions.
This will reduce the Curie temperature of the bulk MnFezOd, which is 585 K. But the
temperature range, which can be practically utilized for application, is very small
(between 373-573 K). Now if the Mn ion from the 'A' site is replaced with a non-
magnetic ion such as Zn2', the Curie temperature will be further reduced. The saturation
magnetization may increase provided the cation distribution is not altered [93]. Zinc
substituted mixed fenites are attractive because Zn2' substitution alters their magnetic
parameters over a wide range.
Preparation and properties of temperature sensitive magnetic fluid having
MqZnl.,Fe204 fine particles, with Me=Mn2+, x=0.5 and Me=~e", ~ ~ 0 . 5 and 0.7 are
reported [121-1271. Upadhyay et al, have reported Gd substituted Mn-Zn ferrite for the
preparation of temperature sensitive magnetic fluid [128]. Zins et al. have reported new
aqueous magnetic fluid.having Nil.,ZnxFezOd particles with x varying b m 0.1 5 to 0.66
[129]. Temperature sensitive ferrofluids having different Zn2+ substitution in mixed
fenites ( M @ , , c ~ . ~ Z n o ~ F q o ~ : Me=h4nZ', Fez', co2', cu2* and M ~ Z ' , Ni0.2Cao.1Zno.6Fe204
C h a p t e r I
and Me0 ,Zna,Fez01: Me = ~ e " , co2', ~ i ~ ' and CU") have heen used for the study of
thermal convection [49].
1.8. Scope of the work
The aim of the thesis is to prepare ferrofluids W i n g Co-Zn substituted ferrite
nano-particles which can be used for heat transfer enhancement making use of the
magnetically induced convection and to study the effect of zinc substitution on the
particle size and magnetic properties of fine particles. Literature survey on Co-Zn ferrite
nano-particles reveals that the preparation conditions and properties of Co-Zn femtes
have not yet been studied exhaustively. They almost do not touch the problem of
synthesis and characterization of these ferrofluids. Therefore, a detailed systematic study
on the preparation of Co-Zn fine particles, the effect of zinc substitution on the magnetic
properties of fine particles, study on thermomagnetic co-efficient and the magnetic
properties of the fluids becomes mandatory.
The thesis entitled "Synthesis and characterization of Co-Zn ferrite
nanoparticles used for ferrofluid preparation" consists of seven chapters and the
contents of each chapter are as follows:
The first chapter provides a review of the important developments in both
preparation and application aspects of ferrofluid. It includes a brief introduction to
ferrofluid dealing with the preparation aspects, size restriction imposed by the stability
requirements, magnetic materials used and their magnetic properties. Purpose and task of
the thesis with justification for the samples chosen and ferrofluid for heat dissipation
using the magnetically induced convection are discussed.
The second chapter deals with the theoretical concepts of the various analytical
tools employed for the characterization of Co-Zn substituted fenite nanoparticles with x
v%ng from 0 to 1.0 are discussed.
Chapter 1
The third chapter of the thesis elaborates the experimental techniques used for
the characterization of fine particles and ferrofluid. The following experimental
techniques have been used.
X- ray difiaction was used for structural analysis and estimation of particle size.
Powder-X software was used for indexing and r e f in i e of cell parameters. Average
crystallite size for each composition was calculated using the Debye-Scherrer formula.
The full-width at half maximum values was estimated for the indexed peaks after
deconvoluting. For this peakfit software was used.
Room temperature magnetic measurements with a maximum magnetic field of
1194.15kAim were carried out using a Lakeshore vibrating sample magnetometer (VSM)
(model 7404). The parameters like specific saturation magnetization (M,), coercive force
(H,) and remanence (MJ were evaluated for Col.,Zn,Fe204 nanoparticles.
The magnetic parameters of transformer oil based Co1.,Zn,FezO4 ferrofluid with x
varying from 0 to 0.7 were canied out using pulse field technique and the specific
saturation magnetization of the fluid samples were estimated.
Estimation of co2' ,2n2* and ~ e " in the final product was carried out using ICP
Analyst 5.2 Ultima 2 (JY Jobin Yvon Horiba). The particles were dissolved using
concentrated HCl and carefully diluted so that the dilution was well within the linear limit
depending on the sensitivity for the estimation of the respective cation.
FTIR spectra were recorded for dry samples (uncoated and coated with oleic acid)
of Col.,Zn,Fe20r with x varying from 0 to 1.0 with an ABB BOMEM 104 FTIR (range
400-4000m-') spectrometer. The dry samples were mixed with the KBr matrix, and
spectra were measured according to transmittance method. The spectra were resolved
with a resolution of 4cm". For spinel structure an attempt has been made to identify some
Me-0 vibrations as well as vibrations to indicate the presence of the water adsorbed on
the particle surface. To understand the adsorption mechanism of the oleic acid on the
surface of the cobalt nanoparticles, FTIR measurements were also carried out on pure
Chapter I
oleic acid, transformer oil and for transformer oil based Co1.,Zn,Fe204 ferrofluid with x
varying from 0 to 0.7.
EPR measurements were canied out using JEOL JES-TE 100 spectrometer having
X-band frequencies (9GHz). EPR spectra were recorded at room temperature (RT) at
300K and at liquid nitrogen temperature (LNT) at 77K fonhe dry samples (uncoated and
coated with oleic acid) of Col.,Zn,Fe~04 with x varying from 0 to 1.0. The powder
samples containing in 3mm diameter quartz tubes were cooled to 77K using liquid
llitrogen dewar insert loaded in the cavity. The cooling was done at different values of the
applied magnetic fields. The spectrum was the first derivative microwave absorption with
respect to f i e l d ( d ~ / d ~ ) . For each sample, the value of peak-to-peak line-width (AH,,)
was computed as the difference between the extreme values 'Hi' and 'H2' of the magnetic
field (the maximum and minimum of the resonance curves, respectively). The resonant
magnetic field (H,) was computed as (Hl+H2)/2. Similarly the EPR spectrum was also
recorded at room temperature (RT) at 300K and at liquid nitrogen temperature (LNT)
77K for the transformer oil based Col.,Zn,Fe204 ferrofluid with x varying from 0 to 0.7.
The value of peak-to-peak line-width (AH,) and the resonant magnetic field (H,) was
computed.
Simultaneous differential thermal analysis and thermogravimetry (DTA-TG) were
carried out on the dried precipitate by using a thermal analyzer (NETZSCH STA 409).
Samples were heated from room temperature to 1273K at a heating rate of S0C/min. The
associated water content was estimated by TG analysis by monitoring the weight of the
sample when heated to a maximum of 1273K (rate S°C/min.) in a nitrogen atmosphere
(NETZSCH STA 409). The water content was estimated from the weight difference
measured from room temperature to 1273K.
The fourth chapter describes the synthesis and characterization of Co-Zn ferrite
nano particles. Details about the preparation technique used f w the precipitation of fine
particles, ferrofluid preparation, are described here. The preparation technique includes
the effects of pH, initial molar concentration, and temperature. Ultra fine particles of
COI.,ZII,F~O~ with x varying from 0 to 1.0 were prepared by co-precipitating aqueous
Chapter I
solutions of CoC12,ZnCl2 and FeCll mixtures respectively in alkaline medium. The mixed
solution of CoC12, ZnC12 and FeCI, in their respective stoichiometry (100 ml. of 0.5 M
CoC12, 100 ml. of 0.5 M ZnCI2 and I00 ml. of 2 M FeCI, in the case of Coo ~Znci 5Fe204
and similarly for the other values of x) was prepared and kept at 60 '~ . This mixture was
added to the boiling solution of NaOH (0.63 M dissolved in 1200 ml. of distilled water)
within 10 seconds under constant stirring. 4
Nano ferrites were formed by conversion of metal salts into hydroxides, which
took place immediately, followed by transformation of hydroxides into femtes. The
solutions were maintained at 95'C for one hour. This duration was sufficient for the
transformation of hydroxides into spinel ferrite (dehydration and atomic rearrangement
involved in the conversion of intermediate hydroxide phase into ferrite).
In addition the results obtained from the XRD, VSM. FTIR, EPR and DTA-TG
(STA) are also discussed. The amount of zinc concentration used in partial substitution
with Co has a definite impact in the ferrite formation and its properties.
The XRD pattern has indicated the formation of ferrite nano particles for Co-Zn
ferrite. All the peaks in the diffraction pattern were indexed and the refinement of the
lattice parameter was done using Powder-X software. The average clystallite size for each
composition calculated using the Debye-Scherrer formula was found to decrease with the
increase in the zinc concentration. The lattice constant increased with the increase in zinc
substitution.
The percentage of zinc affected the associated water content. The water content
varied from 14.78% to 22.52% in the case Co-Zn ferrite. The loss of water content in the
sample was found to be maximum around 300 to 700K. This indicated the presence water
molecules chemically adsorbed to the magnetic particle surface (associated water
content). Further from 700 to 1273K the loss of water content was small.
The formation of fcnites was in accordance with their initial stoichiometry. The
ratio of ( ~ e ~ * ) / ( ~ e ' + ) initially taken was 0.5 and the ratio obtained form the final product
varied form 0.507 to 0.484 in the case of Co-Zn ferrite. Co-Zn fenites did not deviate
Chapter I
(within the allowed experimental errors including estimation of water content, dilution
etc.,) from their initial stoichiometry and matched well with the initial degree of
substitution. It is interesting to note that the initial and final Zn concentration do not
deviate and the preparation condition completely favors the formation of femtes allowing
us to study the effect of Zn substitution on the properties of the femtes. 9
The DTA curves for Col.,Zn,Fe20~ with x varying from 0 to 1.0 show an
endothermic peak around 350K, which confirms the presence of water, content in the
Col.,ZnxFe20~ samples. The broad hump at around 800 to 1200K may correspond to
complete crystallization in the cubic spinel phase (formation of femte).
Chapter five gives the magnetic properties of the fine particles. The room
temperature magnetization and the temperature dependence of magnetization of the
powder samples are estimated and discussed.
The magnetic parameters like specific magnetization (Ms), remanence (M,) and
coercivity (Hc) of the prepared powder samples (Co-Zn substituted femtes) measured at
room temperature in a maximum field of 1194.15kAlm showed a strong dependence on
the Zn concentration. The change in magnetic properties such as Ms, Hc and Curie
temperature was due to the influence of the cationic stoichiometry and their occupancy in
the specific sites.
For particles, the variation pattern of specific saturation magnetization (M,) as a
function of Zn content shows an increase for small substitutions, reaches a maximum
value of 46.55 Am2/kg at 1 194.1SkA/m for x=0.1 and then decreases. The particles do not
show any saturation for x=0.9 and 1.0. even at 1194.1SkAim and it almost behaves linear.
The remanence (M,) and coercivity (H,) for Col.,ZnXFezO4 with x varying from 0 to 1.0
decrease with the increase in zinc substitution.
Temperature dependent magnetization was measured at 8 O W m for
Co1,Zn,Fe~0~ with x varying from 0 to 0.7. The Curie temperature decreases with the
addition of zinc. This is due to the replacement of more non-magnetic ion (zn2+) instead
of co2+ in the A site. The Curie temperature for the samples xM.7 cannot be obtained
Chapter 1
because of the low magnetic volume force when dispersed in a camer liquid, particles
with x > 0.7 are not considered. Thermomagnetic coefficient k~ ( k ~ = -AMIAT) is
calculated from the first derivative of the temperature dependent magnetization curve for
each concentration.
m The practical applications of ferrofluid are decided considering the stability of the
fluid and the vapor pressure of the camer liquid at the operating temperature. Ferrofluid
can be operated at a temperature of around 423K (150°C) without losing much of the
stability. Ferrofluid having the maximum value of thermomagnetic coefficient around this
temperature range can be utilized for energy conversion applications. Simultaneous
reduction in the Curie temperature and higher value of thermomagnetic coefficient shown
by Co-Zn ferrites will enable us to prepare temperature sensitive ferrofluid for practical
applications
Preparation and properties of ferrofluid having Co-Zn fine particles are given in
sixth chapter. Procedure for preparing low viscous transformer oil based ferrofluid with
the role of pH, mode of adsorption while coating of the surfactant is discussed. In
addition preparation of temperature sensitive ferrofluid, based on the value of
thermomagnetic coefficient of the prepared particles is also given. Such temperature
sensitive ferrofluid can be used for energy conversion application.
The pH of the solution was reduced to ~ 1 0 . 5 for effective coating of the
surfactant. Oleic acid (ClaH3402) was used as the surfactant and coating of surfactant was
carried out at a temperature of about 80°C. To coagulate the oleic acid coated particles,
dilute HCI was added. After decantation, the coated particles were dispersed in
transformer oil and centrifuged.
The results obtained from the magnetization of the fluid samples carried out by
pulse field technique to. a maximum field of lkOe at room temperature are discussed.
FTIR measurements were canied out on pure oleic acid, transformer oil and for
transformer oil based Col.,Zn,Fez04 ferrofluid with x varying from 0 to 0.7. EPR
spectrum was also recorded at room temperature (RT) at 300K and at liquid nitrogen
temperature (LNT) 77K for the transformer oil based Col.,ZnxFe2O4 f m f l u i d with x
Chapter I
varying from 0 to 0.7 and the value of peak-to-peak line-width (AH,) and the resonant
magnetic field (H,) were computed. The results are discussed.
SANS measurements were carried out on transformer oil based Col.,Zn,Fe~O~
ferrofluid with x varying from 0 to 0.7. The particle s i z w a s calculated using the core
shell program. The variation of core particle size with different Zn substitution has been
given.
In the case of magnetically responsive fluids, the viscosity of the fluid depends not
only on the carrier fluid, but also on the number concentration and temperature. In
addition, the presence of an external magnetic field includes a change in the viscosity of
ferrofluid. By the application of a sufficiently large field, the orientation of the particles
can be fixed, thereby altering the viscosity. It is attempted to study the variation of
viscosity of a ferrofluid in the presence of an external magnetic field. Viscosity studies
have been carried out using a Brookfield LV DV-111 ultra programmable rheometer.
Modification has been made in the spindle to make it non-magnetic. Instead of stainless
steel spindle, aluminum spindle (non-magnetic) has been utilized and variation in
viscosity has been studied.
The salient features of the experimental results with the summary and conclusion
are given in the seventh chapter.