In recent decades, nanotechnology and nanoscience have been of great interest so they are
considered as a revolution in the 21st century. Nanotechnology encompasses design, analysis, fabrication
and application of structures, devices or systems by controlling the shape, size on a nanometer scale. The
subject of these technologies is nanomaterialsNanomaterials with very small sizes (about 1-100 nm) exhibit
exciting properties that are different from those of the bulk materials. Based on their size effects,
nanomaterials have open new applications in electronics, mechanics, environmental remediation, especially in biomedicine.
For dielectric and magnetic materials, inductive heating is the physical phenomenon by which the
materials become thermo-seeds when they are irradiated by proper alternating electromagnetic field. In the case of bulk magnetic materials, the Magnetic Inductive Heating (MIH) using alternative magnetic field
(AMF) relies on two mechanisms of energy dissipation, which are energy losses due to Joule heating and
energy losses associated with magnetic hysteresis. In nano scale, it is generally known that the energy losses associated with magnetic properties such as hysteresis loss and relaxation loss mainly contribute to the heating.
For biomedical applications, magnetic nanoparticles (MNPs) have to be dispersed in a solvable
solvent to create nano ferrofluids. MNPs are coated by a surfactant for preventing the nanoparticles from
aggregation and keeping them well dispersed for many years. So, the nano ferrofluids in fact consist of core, shell and solvent. Various magnetic nanoparticles such as magnetic metal nanoparticles, magnetic alloy nanoparticles or magnetic metal oxide nanoparticles have been used as the core of nanofluids. The shell materials can be polymer, copolymer or an oxide material. The fabrication of a magnetic nanofluids may be realized using water or other solvents such as benzyl ether, phenyl ether. It is generally known that there are many methods such as co-precipitation, sol – gel, solvo-thermal, hydrothermal, thermal decomposition or reverse micelle, normally used in synthesing MNPs . The size and size distribution or magnetic properties of nanoparticles depend on the synthesis method. Therefore, it is difficult to experimentally study the effect of one or more parameters of a nano ferrofluid on the physical phenomenon.
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MINISTRY OF
EDUCATION AND TRAINING
VIETNAM ACADEMY OF
SCIENCE AND TECHNOLOGY
GRADATE UNIVERSIY OF SCIENCE AND TECHNOLOGY
Luu Huu Nguyen
THE CHARACTERISTICS OF
MAGNETIC INDUCTIVE HEATING
AND THEIR IMPACTS BY
THE PARTICLE ANISOTROPY AND FERROFLUID VISCOSITY
Major: Electronic materials
Code: 9.44.01.23
SUMMARY OF DOCTORAL THESIS IN MATERIAL SCIENCE
Ha Noi - 2019
This thesis was done at:
Laboratory of Magnetism and Superconductivity, Institute of Materials and
Sciene, Vietnam Academy of Science and Technology.
Supervisor: Prof., Dr. Nguyen Xuan Phuc
Assoc. Prof., Dr. Pham Thanh Phong
Reviewer 1: ......................................................
Reviewer 2: ......................................................
Reviewer 3: ......................................................
The dissertation will be defended at Graduate University of Science and Technology, 18
Hoang Quoc Viet street, Hanoi.
Time: ...h..., .../.../2019
This thesis could be found at National Library of Vietnam, Library of Graduate
University of Science and Technology, Library of Institute of Materials and Science,
Library of Vietnam Academy of Science and Technology.
1
INTRODUCTION
In recent decades, nanotechnology and nanoscience have been of great interest so they are
considered as a revolution in the 21st century. Nanotechnology encompasses design, analysis, fabrication
and application of structures, devices or systems by controlling the shape, size on a nanometer scale. The
subject of these technologies is nanomaterialsNanomaterials with very small sizes (about 1-100 nm) exhibit
exciting properties that are different from those of the bulk materials. Based on their size effects,
nanomaterials have open new applications in electronics, mechanics, environmental remediation, especially
in biomedicine.
For dielectric and magnetic materials, inductive heating is the physical phenomenon by which the
materials become thermo-seeds when they are irradiated by proper alternating electromagnetic field. In the
case of bulk magnetic materials, the Magnetic Inductive Heating (MIH) using alternative magnetic field
(AMF) relies on two mechanisms of energy dissipation, which are energy losses due to Joule heating and
energy losses associated with magnetic hysteresis. In nano scale, it is generally known that the energy losses
associated with magnetic properties such as hysteresis loss and relaxation loss mainly contribute to the
heating.
For biomedical applications, magnetic nanoparticles (MNPs) have to be dispersed in a solvable
solvent to create nano ferrofluids. MNPs are coated by a surfactant for preventing the nanoparticles from
aggregation and keeping them well dispersed for many years. So, the nano ferrofluids in fact consist of core,
shell and solvent. Various magnetic nanoparticles such as magnetic metal nanoparticles, magnetic alloy
nanoparticles or magnetic metal oxide nanoparticles have been used as the core of nanofluids. The shell
materials can be polymer, copolymer or an oxide material. The fabrication of a magnetic nanofluids may be
realized using water or other solvents such as benzyl ether, phenyl ether. It is generally known that there are
many methods such as co-precipitation, sol – gel, solvo-thermal, hydrothermal, thermal decomposition or
reverse micelle, normally used in synthesing MNPs . The size and size distribution or magnetic properties of
nanoparticles depend on the synthesis method. Therefore, it is difficult to experimentally study the effect of
one or more parameters of a nano ferrofluid on the physical phenomenon.
Besides, the nano ferrofluids must satisfy two main conditions: they should have large heating power
with minimum amount of nanoparticles, they should have good biocompatability. In order to achieve these
goals, the so far studies focused on improving the heating power of magnetic nanoferrofluids. Based on
previous works, the heating power depends on several physical and magnetic parameters of the particles
including: particle size (D) – size distribution, saturation magnetization (Ms), magnetic anisotropy constant
(K), viscosity of magnetic fluid (η) as well as the AMF frequency and amplitude. Because there are so many
parameters affecting the heating power, experimental studies of optimizing MIH effect are difficult to
realize. Therefore, theoretical studying the role of physical parameters of different nanomaterials could be a
good approach to provide guidelines for experimental works, becausetheoretical calculations in fact play the
role as a “Digital experiment”, which contributes to predicting experimental results. Based on these
theoretical results, the experimental parameters can be adjusted to search for suitable materials according to
the researchers' goals.
In Vietnam, the basic and application works associated with magnetic nano materials are concerned
by a number of research groups at Institute of Materials Science (IMS), Institute for Tropical Technology,
Ho Chi Minh city Institute of Physcis - Vietnam Academy of Science and Technology, Hanoi University of
Science and Technology, Faculty of Physics in Hanoi University of Science, etc. However, only the research
2
group of Prof., Dr. Nguyen Xuan Phuc at IMS permomed theoretical and experimental studies of MIH and
focus on both aspects: the synthesis method such as magnetic metal nanoparticles (Fe), magnetite
nanoparticles (Fe3O4), doped magneitc nanoparticles (Mn0.3Zn0.7Fe2O4, Mn0.5Zn0.5Fe2O4, La0.7Sr0.3MnO3) or
core – shell magnetic nanoparticles - Fe3O4@ poly(styrene-co-acrylic acid), Fe3O4@ poly
(Nisopropylacrylamide-co-acrylic acid) and the physical mechanism of MIH.
Up to now, the experimental results on MIH are abudant and diverse. These results indicated the
advantage of particular materials, which is used as a core, shell or solvent of biomedical nano ferrofluids.
Besides, the experimental results of studying physical parameters on MIH contributed to explain its physical
mechanism. However, the dependence of MIH on the ferrofluid physical parameters has not been detailly
mentioned in recent experimental works and systematically considered in theoretical reports. So, a series of
questions should have satisfactory answers in the research process. Firstly, the heating efficiency of MIH is
optimal at which critical size of each mangnetic nano materials? Secondly, the same question for saturation
magnetization, hydrodynamic diameter and especially in magnetic anisotropy (K). How the characteristic
parameters of MIH are affected in low K or high K magnetic nanofluids? In other words, how can we
classify materials based on this parameter or other physical factors in MIH? How the heating efficiency of
MIH is affected when the particle is not monodispersive or the viscosity changes? These answers will
contribute to optimizing the MIH in each materials and orienting the applicability of these materials. It is a
challenge for us and other groups.
Based on the above reasons, we chose the research project for thesis, namely: “The characteristics
of magnetic inductive heating and their impacts by the particle anisotropy and ferrofluid viscosity”.
Research targets of the thesis:
(i) To thereticallystudy the overall characteristics of MIH and their impacts based on theoretical
calculation
(ii) To carry out experiments on the influence of alternating magnetic field, particle size and
viscosity on specific loss power for CoFe2O4 and MnFe2O4, chosen as representative of respectively high K
and low K magnetic nanoparticles; and to compare the experimental behavior with that obtained by
theroretical calculations.
Scientific and practical meaning of the thesis:
Applying Linear Respones Theory (LRT) to find the competition between the Néel and the
Brownian relaxation which helps to more clearly understand about the role of magnetic anisotropy for
classifying materials in MIH.
Research methodology:
The thesis was carried out by theoretical calculation based on LRT (using MATLAB software) and
practical experimentation combined with numerical data process. CoFe2O4 and MnFe2O4 samples were
fabricated by hydrothermal synthesis at Laboratory of Magnetism and Superconductivity, Institute of
Materials and Sciene, Vietnam Academy of Science and Technology. Samples were characterized by
electron microscopes (FESEM). The viscosity of magnetic fluids was measured by Sine wave Vibro
Viscometer SV 10. DLS was used to determine the hydrodynamic diameter of magnetic fluid. Magnetic
properties of materials were investigated by Vibrating-Sample Magnetometer (VSM), and were used to
evaluate the presence of functional groups on magnetic nanoparticles. Magnetic Induction Heating was
carried out on RDO-HFI-5 kW set up installed at Institute of Materials Science..
3
Research contents of the thesis:
(i) Overview of Magnetic inductive heating for nano ferrofluids
(ii) Investigating the effect of physical parameters on the specific loss power based on LRT
(iii) Compare theoretical results with experimental results of the influence of alternating
magnetic field, particle size and viscosity on specific absorption rate power for CoFe2O4 and
MnFe2O4 magnetic nanoparticles
Layout of the thesis:
The contents of thesis were presented in 3 chapters.
• Introduction
• Chapter 1. Magnetic inductive heating for nano ferrofluids
• Chapter 2. The theoretical results of the specific loss power based on Linear Respones Theory
• Chapter 3. Verifying theory by experimental results
• Conclusion
Research results of the thesis were published in 06 scientific reports including: 02 ISI reports, 03
national reports, 01 report in international scientific workshop.
CHAPTER 1
MAGNETIC INDUCTIVE HEATING FOR NANO FERROFLUID
1.1. Overview of Magnetic inductive heating
1.1.1. Magnetic nanoparticle and superparamagnetic particle: basic properties
1.1.1.1. Domain of magnetic nanoparticle
In a bulk magnetic material, the magnetic moments are uniformly oriented in regions of certain sizes,
which are called “magnetic domains” or “domains”. tIn the absence of external filed, the moments vary from
domain to domain to make total magnetization minimized to zero. When the size of bulk material decreases,
the domain size decreased and the domain structure, the width of the domain wall changes. When the particle
was smaller than a critical size, it could not consist of two domains separated by a domain wall and the
particle becomes a single domain particle. The critical size for single domain behavior
depends on type of magnetic materials.
1.1.1.2. Superparamagnetism
If single-domain nanoparticles become small enough, thermal energy is larger than anisotropy
energy so spontaneously reverse the magnetization of a particle from one easy direction to the other likes a
single spin in paramagnetic materials. The spin system can be rotated synchronously and the magnetic state
of small size and non-interacting nanoparticles is called “superparamagnetic”.
The temperature at which the transition between the superparamagnetic state and the blocked state
occurs is called the blocking temperature TB . The blocking temperature TB also depends on other factors
such as magnetic anisotropy, size and the measurement time (τm). So, the blocking temperature depends on
size andτm for each materials. While the critical size of single domain is determined by the balance of energy
forms, superparamagnetic behavior depends on the measurement time.
1.1.1.3. Dependence of magnetic anisotropy on particle size
The anisotropy energy is the energy required by the external magnetic field to move the magnetic
moment from easy to hard direction of magnetization. It is the internal magnetocrystalline energy if
saturation magnetization is not oriented towards easy axis. This energy, which is associated with
4
magnetocystalline anisotropy and the crystal symmetry of the material is called magnetocystalline anisotropy
energy.
For fine or thin flim magnetic nanoparticles, surface anisotropy contributes yet to magnetocystalline
anisotropy. The surface anisotropy is caused by the breaking of the symmetry and a reduction of the nearest
neighbour coordination. Surface effects in small magnetic nanoparticles are a major source of anisotropy.
The effective anisotropy energy per unit volume is given by:
6eff V SK K KD
= + (1.8)
1.1.2. Nano ferrofluid: synthesis and application
The magnetic nanoparticles coated by surfactants and suspended in liquid carrier are called
ferrofluids or magnetic fluids, which is a commonly concept in biomedical applications. The magnetic fluids
are distingnuished not only by magnetic properties of nanoparticles (core) but also properties of liquids. For
example, the Néel and Brownian relaxations mainly contribute towards MIH of ferrofluids based on
superparamagnetic nanoparticles. Therefore, the physical effects of ferrofluid are influenced by magnetic
nanoparticles in the core, the shell , the solvent and also the synthesis method used.
1.1.3. Magnetic inductive heating and application
Inductive Heating (IH) is the physical phenomenon by which electromagnetic materials become
thermal seeds when they are inserted in proper alternating electromagnetic field. In case of nanosized
magnetic materials, it is generally known that the energy losses associated with magnetic properties such as
hysteresis loss, relaxation loss, vv. mainly contribute to the heating. The MIH has been of great interest
because of their potential applications such as (i) adsorbent material desorption, (ii) cell activation for insulin
regulation, (iii) to characterize the nanoparticle distribution in organs and in tissues, (iv) thawing of
cryopreserved biomaterials, (v) hyperthermia-based controlled drug delivery and (vi) hyperthermia-based
cancer treatment.
1.2. Magnetic inductive heating mechanisms
1.2.1. Contribution factors to thepower of magnetic inductive heating
MIH of magnetic nanoparticles is derived from the process of adsorbed energy from external
alternating magnetic field. The total absorbed energy includes surface Joule loss (PF), hysteresis loss (PH),
Néel (PN) and Brown (PB) relaxation losses. Because, most nano materials are of high electrical resistivity
and small size, this leads to very low eddy current loss. Thus the MIH of nanoparticles is mainly caused by
the hysteresis loss, Néel and Brown relaxation losses.
The hysteresis loss refers to the loss due to irreversible magnetization process in AC field. This is the
mainly heat generation of ferrite or ferromagnetic multi – domain materials. For the superparamagnetic
nanoparticles, it is generally known that Néel and Brown relaxation losses mainly contribute to the MIH of
materials. The Néel relaxation loss is originated from relaxation effects of magnetization in magnetic field,
the Brown relaxation loss is due to the rotation of the nanoparticles as a whole in ferrofluid.
Nowadays, the theoretical models of MIH such as Rayleigh model, Stoner–Wohlfarth model based
theories (SWMBTs), and Linear Response Theory (LRT) depend on the applicable conditions. The
dimensionless parameter ξ to indicate the limit of validity of each theoretical model.
0 S
B
M VH
k T
µ
ξ = (1.9)
5
When ξ < 1, nanoparticles show superparamagnetic behavior or H<<HC. The relationship between M
and H can be approximated to a linear function. Therefore, the LRT can be applied. This model is based on
two mechanisms: Néel and Brown relaxation losses. In contrast, the hysteresis loss is the mainly heat
generation of ferrite or ferromagnetic multi – domain when the parameter ξ > 1. Thus Rayleigh and
SWMBTs models are applicable depending on field used.
1.2.2. Hysteresis loss
SW model is a theoretical model based on the hysteresis loss, which can be estimated from the area
of the hysteresis loop when the magnetization material is saturated. Note that the hysteresis loop changes
with the amplitude and frequency of the AMF.
For low AMF, Rayleigh model has been applied and it has been shown that the law SLP ∝ H3 could
describe the hysteresis losses. SWMBTs was built by the hypothesis: single domain ferromagnetic particles
with non interaction uniaxial anisotropy and orient randomly. According to the SWMBTs, the loss power
was equal to twice the anisotropic energy density. In fact, J. Carey et Al. found that it was equal to 1.92 the
anisotropic energy density.
1.2.3. Néel relaxation loss
For single domain particles, the anisotropy energy is smaller than thermal energy so that the particle
magnetic moment can rotate freely in the absence of an external magnetic field. Heating is accomplished by
rotating the magnetic moment of each particle against an energy barrier.
1.2.4. Brown relaxation loss
The Brown relaxation loss refers to the rotation of particle as a whole in magnetic fluid. This is
significant when the direction of the magnetic moment is tightly attached to particle (high magnetic
anisotropy) and low viscosity.
1.2.5. Linear Response Theory
LRT describes the ability of the magnetic moment to respond AMF. Based on theoretical results, J.
Carey et. al found that the condition of validity for the LRT is ξ < 1. So, LRT based on Néel and Brown
relaxation losses is suitable for superparamagnetic nanoparticles or H<<HC.
Loss power of MIH based on relaxation losses is given by:
( )
,, 2
0LRTP f H fµ πχ= (1.20.)
1. 3. Difficulties and challenges in experimental study of optimal MIH of nano ferrofluids
In biomedical applications, the preferred size of the nanoparticles (core) is typically around 10–50 nm,
nanoparticles have high saturation magnetization and must satisfy two main conditions: they should have
large heating power with minimum amount of nanoparticles and they should have good stability in
ferrofluids. Therefore, the major issue that is being investigated is optimal MIH.
Specific Loss Power – SLP or Specific Absorption Rate – SAR is commonly used to describe the
MIH capacitance or the ability to absorb energy from AMF of the magnetic nanopaerticles:
/ PSLP SAR
ρ
= (1.23.)
1.3.1. Size particle and problem in controlling size and narrow size distribution
There are many magnetic nanoparticle synthesis methods such as co-precipitation, sol – gel, solvo-
thermal, hydrothermal, thermal decomposition or reverse micelle. The size and size distribution or magnetic
properties of nanoparticles depend on the synthesis method. So, it is difficult to control size particle, size
distribution and material crystallization. For example, synthesizing magnetic fluids with a same medium size
6
but different size distribution or same size distribution with different medium size is not feasible. Therefore,
it is difficult to study of the effect of one or more parameters of nano ferrofluid on a physical phenomenon.
1.3.2. Saturation magnetization and attenuation from saturation magnetization by surface dead layer
The magnetization of a magnetic material is the sum of the magnetic moments per unit volume.
Surface effects and finite size effects are responsible for the difference between nanoparticle and bulk
material magnetization. The corresponding contributions of the two effects are opposite. The attenuation
from magnetic saturation of the nanoparticles is due to the existence of a dead layer or spin canting on the
particle surface.
1.3.3. Magnetic anisotropy of nanoparticle
For bulk magnetic materials, magnetic anisotropy depends on composition and crystal field of each
material. Because of the increased ratio of surface atoms to core ato