Soft magnetic materials, from statics to radiofrequencies - - PowerPoint PPT Presentation
Soft magnetic materials, from statics to radiofrequencies - - PowerPoint PPT Presentation
Soft magnetic materials, from statics to radiofrequencies Victorino Franco Sevilla University. Spain Current trends in Confirmed invited speakers Magnetic Refrigeration J. I. Betancourt Reyes (UNAM); E.H. Bruck (Delft University of
Current trends in Magnetic Refrigeration
- Magnetocaloric materials:
– Giant magnetocaloric materials – Second order phase transition materials – Nanostructured materials – Multiphase materials and composites
- Modeling the magnetocaloric effect
- Experimental techniques for the
characterization of magnetocaloric materials
- Magnetic refrigeration devices
- Related topics on thermomagnetic energy
harvesting
Confirmed invited speakers
- J. I. Betancourt Reyes (UNAM);
- E.H. Bruck (Delft University of Technology);
- G.P. Carman (UCLA);
- A. Fujita (Tohoku University);
- Z.W. Liu (South China University of Technology);
- V.K. Pecharsky (Ames Laboratory);
- M.H. Phan (University of South Florida);
- A. Rowe (University of Victoria);
- J. L. Sánchez Llamazares (IPICYT);
- K. Skokov (Technische Universität Darmstadt);
- K. G. Suresh (IIT Bombay).
http://www.mrs.org/imrc-2013-cfp-7b/
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- Introduction
– 5 key questions in a nutshell: What, which, where, when, why
- Optimization of soft magnetic properties
– Coercivity: disorder is not a bad quality all the time. – Frequency response: losses – Do we always need the highest permeability?: high frequency power conversion
- Example of sensor application: GMI
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Soft magnets in the global market
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
JMD Coey, J. Alloy. Compd. 326 (2001) 2
Where are they used?
- Magnetic shielding (passive)
- Flux concentrators
- Sensors, anti-theft systems
- Power conversion
– Transformers, inductors – Motors, generators
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Tesla car; induction motor
What we need
- High saturation magnetization
– composition
- Low coercivity
– microstructure
- High Curie temperature
- High permeability (most of the times)
- Frequency response low losses
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Evolution of soft magnetic materials
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
JMD Coey, Magnetism and Magnetic Materials, Cambridge University Press, 2010 M.A. Willard, M. Daniil, K.E. Kniping, Scripta Mater. 67 (2012) 554
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
M.E. McHenry, M.A. Willard, D.E. Laughlin, Prog Mater Sci 44 (1999) 291
Warning: The importance of the demagnetizing field
M H
appl demag demag
H H H H NM
a appl
M H ( ) ( ) (1 )
a appl a a a
H H NM H N H H N
(1 )
a
N
Material: Internal field “intrinsic” susceptibility Measurement: Applied field Apparent susceptibility
1
a
N
If N or the susceptibility are large,
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- Small applied fields for samples with high
permeability
- M(T) for different
applied fields
(1 )
a
N
(1 )
appl appl appl
H H NM H N N H 1
a
N
150 200 250 300 350 1 2 3 10 15 20 25 30
M (memu) T (ºC)
field (Oe): 1 10 100 1000 5000 10000
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
OPTI MI ZATI ON OF COERCI VI TY
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Domain wall pinning and defects
- Potential energy E of the
wall (per area unit):
– Random function of position
- Local stresses
- Defects
- 180º domain wall of area A
moving a distance x
– Magnetization change from
- M to M
– Energy change
- Equilibrium:
( 2 ) 2
i i
d E H Mx dx dE H M dx
2
i
H Mx
R.C. O’Handley, “Modern magnetic materials: principles and applications”. John Wiley and Sons, 1999
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Grain size and coercivity
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- G. Herzer, J. Magn. Magn. Mater. 112 (1992) 258
Reduce defects to decrease coercivity
Grain size and coercivity
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- G. Herzer, J. Magn. Magn. Mater. 112 (1992) 258
SI MPLE ANALOGI ES TO EXPLAI N THE SMALL CRYSTAL SI ZE RANGE
(AKA: understanding the random anisotropy model without formulae)
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Who will feel the irregularities?
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Floor of Colegiata de Santa María de Arbas, León (Spain)
The key is the different length scale (irregularities vs. shoes)
Refrigerator magnets
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Side view Reverse side Front (decorated side) Field lines Domains
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Refrigerator magnets
Side view Reverse side Front (decorated side) Field lines Domains
Characteristic lengths
- Two characteristic lengths along the direction of
movement:
– Substrate (separation between stripes) – Mobile piece
- Parallel orientations:
– Lsubstr. ~ separation between stripes – Lmobile ~ Lsubstr. – Movement significantly alters the energy of the system
- Perpendicular orientations:
– Lmobile ~ size of the mobile piece – Lsubstr.< < Lmobile – We cannot detect, macroscopically, energy differences
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Two different correlation lengths
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Correlation lengths structural magnetic
Let’s quantify
- Select randomly the
- rientation of particles
- Choose magnetic
correlated areas of different sizes
- Displace the correlated
area thoughout the “sample”
- Measure the dispersion
in energy
- Average multiple times
Victorino Franco. European School of Magnetism. Cargèse (France) 2013 2 4 6 8 10 0.0 0.2 0.4 0.6 0.8 1.0
Emax-Emin (a.u.) # of correlated particles (x1000)
1000 10000 0.03 0.04 0.05 0.06 0.07 0.08 0.09
1 N
Random anisotropy model
* 3 * 4 6 *3
/ K K N L N l K K l A
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- K. Suzuki, in Handbook of Advanced Magnetic
Materials, Springer, 2006, pp. 339-373
- G. Herzer, J. Magn. Magn. Mater. 112
(1992) 258
Finemet alloy
- Composition: Fe73.5Si13.5B9Cu1Nb3
- Magnetically softer after nanocrystallization
– Two phase nature – Influence of the addition of Cu & Nb
- Segregation of Cu-rich clusters
- Rejection of Nb at the crystal interfaces
- Importance
– Technological applications (magnetic sensors, anti-theft systems, etc.) – Fundamental studies in magnetism
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
25 nm
Production of amorphous alloys I : melt spinning
Video courtesy of Joseph F . Huth III MAGNETICS, div. of SPANG & CO.
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Crystallization behavior
Fe76Si10.5B9.5Cu1Nb3
- Devitrification takes
place in two main stages
– 1st exotherm: -Fe,Si – 2nd exotherm: Fe2B, ...
- Compositional effects
– Substitution of Fe by Cr
- r Mo
- Enhancement
- f
the stability of the amorphous phase
700 800 900 1000
dH/dt ( kW / kg ) T ( K )
0.0 0.1
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Microstructure
25 nm
Amorphous Nanocrystalline Fully crystallized
40 60 80 100
2 (º)
40 60 80 100
2 (º)
40 60 80 100
2 (º)
25 nm 350 nm
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Thermomagnetic measurements
400 600 800 1000 20 40 60 80 100 120 140 b a c
M ( a. u. ) T ( K )
- As cast sample (a):
– Tc(Amorphous) – Onset of Crystallization – Tc(Fe,Si)
- Nanocrystalline (b,c):
– Tc(residual amorphous) – Tc(Fe,Si)
- Fully crystallized (d):
– Tc(Fe,Si) (change in % Si) – Tc(Fe2B) – Tc(boride type phase)
400 600 800 1000 20 40 60 80 100 120 140 a
M ( a. u. ) T ( K )
400 600 800 1000 20 40 60 80 100 120 140 d b a c
M ( a. u. ) T ( K )
V . Franco, C.F . Conde, and A. Conde, J. Magn. Magn. Mater. 185 (1998) 353
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Coercivity
400 600 800 1000 10 20 30 40 2000 4000
HC ( A / m ) Ta ( K )
Stress relaxation Nanocrystallization onset Averaging of anisotropy 2nd crystallization stage
V . Franco, C.F . Conde, A. Conde, L.F . Kiss, J. Magn. Magn. Mater. 215 (2000) 400
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
High temperature soft magnetic nanocrystalline alloys
- Can we keep the soft magnetic
properties at higher temperatures? Limitations:
– Microstructural evolution – Magnetic softness
- Individual nanoparticles
– Superparamagnetism
- No hysteresis
- Overlapping of magnetization curves
- Limited by anisotropy energy (TB)
- Nanocrystalline alloys?
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Superparamagnetism in nanocrystalline alloys
- Low temperature: blocked state (ferromagnetic
matrix)
- High temperature: superparamagnetic relaxation
– Not controlled by blocking temperature, but by the ferromagnetism of the matrix
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
400 600 800 1000 20 40 60 80 100 nanocrystalline as cast
M ( a. u. ) T ( K )
Superparamagnetic relaxation
- Requisites:
– No hysteresis – Overlapping of magnetization curves
- Limited by:
– Anisotropy energy (TB) – Decoupling of the grains – 2nd crystallization stage
0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0
615K 630K 648K 670K 687K
M(T)/Ms (T) Ms(T) · H / T
V . Franco, C.F . Conde, A. Conde, L.F . Kiss, J. Magn. Magn. Mater. 215 (2000) 400
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Cr-containing Finemet alloy
- Thermal stability is
enhanced
- Cryst. volume fraction
is reduced
- Smaller mean grain
size
800 850 900 950 1000
0.1
T (K)
Fe63.5Cr10Si13.5B9Cu1Nb3
V . Franco et al., J. Appl. Phys. 90 (2001) 1558
Thermomagnetic properties
300 400 500 600 700 800 900 1000 0.0 0.2 0.4 0.6 0.8 1.0 c b a
M (a.u.) T (K)
- Significant
reduction of Tc
am
- Nanocrystallization
- nset is less
detectable
- Tc (rem. am.)?
V . Franco, C.F . Conde, A. Conde, J. Magn. Magn. Mater. 203 (1999) 60
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Thermomagnetic properties (low T)
- Tc(rem. am.) is
reduced with increasing Ta
– Grains should be easily decoupled
100 150 200 250 300 0.0 0.2 0.4 0.6 0.8 1.0
Ta=798K Ta=823K Ta=848K
'' (a.u.)
T (K)
0.0 0.2 0.4 0.6 0.8 1.0
' (a.u.)
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Hysteresis loops
700 800 900 1000 1100 5 10 2000 4000 6000 8000 10000 Dynamical treatments Isochronal treatments
Hc (A/m) Ta(K)
Stress relaxation Nanocrystallization onset 2nd crystallization stage
Averaging of anisotropy?
V . Franco et al., IEEE Trans. Mag. 38 (2002) 3069
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Hysteresis loops
- Coercivity has a
maximum around room temperature
- It is displaced to lower
temperatures as crystalline volume fraction increases
– Tc(res. Am.)
100 200 300 400 500 600 700 10 20 30 40 50
Xc 7 % 16 % 20 %
Hc (Oe) T (K)
V . Franco et al., Phys. Rev. B 66 (2002) 224418
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Superparamagnetic relaxation
160 320 480 640 0.0 0.2 0.4 0.6 0.8 1.0
630 K 650 K 670 K 690 K 710 K
M(T)/Ms(T) H/T (A m
- 1 K
- 1)
Ta px Dx (nm) <> (103 B) D (nm) 775 K undetectable undetectable 18 7 5.2 0.7 800 K 0.066 9 2 41 6 6.8 0.5 825 K 0.197 12 2 112 6 9.6 0.5 850 K 0.385 13 2 113 6 9.6 0.5
V . Franco et al., J. Appl. Phys. 90 (2001) 1558
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Dipolar interactions between SPM nanoparticles
- 1000
- 500
500 1000
- 1.0
- 0.5
0.0 0.5 1.0
H (Oe) M/Ms
- 1000
- 500
500 1000
- 1.0
- 0.5
0.0 0.5 1.0
H (Oe) M/Ms
Sample with px= 20 % , measured at 400 K
V . Franco et al., Phys. Rev. B 66 (2002) 224418; Phys. Rev. B 72 (2005) 174424
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
*
kT H
*
( ) H M N L k T T
*
1 1
app
T T
Production of amorphous alloys I I : mechanical alloying
- Powders can be
compacted to
- btain the final
shape
- For the same
nominal composition, properties are different from those of melt spun alloys
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
0.00 0.05 0.10 0.15 0.00 0.05 0.10 0.15
Collision point Detachment point
Y (m) X (m)
Initial ball position
- 0.02
0.00 0.02
- 0.02
0.00 0.02
Detachment point at the collision time Collision point Detachment point Initial ball position
Y (m) X (m)
Ipus et al, Intermetallics 16 (2008) 470
I nfluence of the starting phases
Fe75Nb10B15 composition prepared using:
– crystalline boron (c-B alloy) – amorphous boron (a-B alloy)
(Fe75Nb10)100 composition (n-B alloy)
10 15 20 25 30 35 40
2 [degrees]
Exerimental Fitted Boron R-3m (34%) (N3)(NB9H11) (18%) Amorphous halo (48%)
intensity [a.u.]
Commercial amorphous boron Crystalline boron
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
J.J. Ipus, J.S. Blázquez, V . Franco, A. Conde, J. Appl. Phys. 113 (2013) accepted
Global microstructure I XRD patterns
1 2 3 4 3 6 9 12 15
bcc-Nb phase fraction [%] t [h]
n-B alloy c-B alloy a-B alloy
- Bcc Nb phase dissapears after 4 h miling
- Amorphous phase developed only in B
containing alloys
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
XRD results
1 10 1 2
e [%] milling time [h]
20 40 60 n-B alloy c-B alloy a-B alloy
D [nm]
0,286 0,288 0,290 0,292
a [nm]
10 20 30 40 0,0 0,2 0,4 0,6 0,8 1,0
crystalline fraction milling time [h]
c-B alloy a-B alloy
- Faster amorphization in a-B alloy
- Microstructural parameters of crystalline
phase almost stabilized after 4 h milling
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
TEM sample preparation
Powder particle selected
(Focused Ion Beam)
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
TEM sample preparation
Deposition of a protective Pt layer
Pt layer
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
TEM sample preparation
After cutting with Ga ion beam
sample bridge
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
TEM sample preparation
Sample attached to a Cu grid
Cu grid Pt deposition
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
TEM sample preparation
Final thinning using Ga ion beam
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
TEM sample preparation
Bright field TEM image of the sample
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Ipus et al, Phil. Mag. 89 (2009) 1415
Local microstructure
Amorphous matrix with boron inclusions and dispersed -Fe type nanocrystals
400 nm
10 nm-1
(0 0 2) (1 1 1)
SAD amorphous matrix CBED crystalline inclusion
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Microanalysis
200 300 400 500 Matrix
E [eV]
Boron particle
counts [a.u.]
Spectrum Line
- Inclusions highly enriched in boron
- Presence of boron in the matrix
Compositional profiles: line spectra Spot spectra
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Hysteresis loops
- 10000
10000
- 200
- 100
100 200
M [emu/g] H [Oe]
0,5 h 4 h 6 h 20 h 40 h n-B alloy
- 10000
10000
- 200
- 100
100 200
M [emu/g] H [Oe]
c-B alloy
- 10000
10000
- 200
- 100
100 200
M [emu/g] H [Oe]
a-B alloy
- 100
- 50
50 100
- 10
10
M [emu/g] H [Oe]
a-B alloy Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Saturation magnetization
0,0 0,2 0,4 0,6 0,8 40 80 120 160 c-B alloy (350 rpm) c-B alloy (150 rpm) a-B alloy
MS [emu/g] XC 10 20 30 40 40 80 120 160 n-B alloy c-B alloy a-B alloy
milling time [h] MS [emu/g]
10 20 30 40 80 120 160 n-B alloy c-B alloy a-B alloy
MS [emu/g] <HF> [T]
MS decreases as amorphous phase develops
Linear correlation between MS and < HF> Two slopes in MS vs Xc should indicate different rates of B incorporation into the matrix
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Coercivity
Coercivity initially increases and further on decreases
10 20 30 40 30 60 90 120 n-B alloy
HC [Oe] milling time [h]
a-B alloy c-B alloy
S C eff c
M H K p
Herzer, IEEE Trans Mag 26, 1397 (1990)
0.64
c
p
for cubic shape particles
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Magnetic anisotropy
10 20 30 40 30 60 90 120 n-B alloy
HC [Oe] milling time [h]
a-B alloy c-B alloy
0,0 0,4 0,8 1,2 1,6 4 8 12
pc Keff [10
3(J/m 3)]
microstrains [%]
c-B alloy a-B alloy n-B alloy
- Initial increase due to the increase of
microstrains
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Magnetic anisotropy
10 20 30 40 30 60 90 120 n-B alloy
HC [Oe] milling time [h]
a-B alloy c-B alloy
0,0 0,5 1,0 1,5
10 20 30
Keff
2 [10 7(J/m 3]
XC
2 D 3 Keff 3/2 [10
- 18(J/m)
3/2]
2 2 2 3 3 2 2 1 3 2
3 3 2 2
C eff eff S ma S mi
X D K K K A
Shen, Phys. Rev. B 72, 014431 (2005); Ipus Phys. Express 2, 8 (2012)
- Reduction after 6h
due to crystal refinement
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
LOSSES
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Hysteresis losses
- Quasistatic
hysteresis loop
- Energy dissipated in
a toroidal core over
- ne cycle
- Combining Ampere
and Lenz laws
- The energy lost per
unit volume is given by the area of the loop
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
0 ( ) ( ) t T t
W i t V t dt
t T t
dB W lA H dt lA HdB dt
I ncreasing frequency
- Loops get broader and
rounder
- Effect of eddy currents
induced in the material
- Change in Minduced
voltage which opposes the flux change
- Losses emerge due to
the heating of the sample due to these currents
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
D.C. Jiles, J. Appl. Phys. 76 (1994) 5849
Classical eddy currents
- The material is
uniformly magnetized
- Change in
Minduced voltage which opposes the flux change
- Losses emerge due
to the heating of the sample caused by these currents i2R
- Powe loss per unit
volume at low frequency
- Reduce losses by:
– Reduzing d – Increasing resistance
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
R.C. O’Handley, “Modern Magnetic Materials”, Willey, 2000
2 2 2
/
m class
B d P vol
- The flux change is
restricted to the environment of the wall
- Losses depend on the
velocity of the wall
– Drag field
- For multiple walls,
currents interfere and reduce the losses
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
I nfluence of induced anisotropies
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
F . Fiorillo, C. Beatrice, J Supercond Nov Magn 24 (2011) 559
More sofisticated models
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
F . Fiorillo, C. Beatrice, J Supercond Nov Magn 24 (2011) 559
Perspectives of core loss reduction in GOSS
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- T. Kubota, M. Fujikura, Y
. Ushigami J. Magn. Magn. Mater. 215-216 (2000) 69
HI GH FREQUENCY POWER CONVERSI ON
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- Designing an inductive component
- For the same voltage amplitude, the
section is inversely proportional to the frequency
- Go to higher frequencies in power
converters to decrease the volume and weight
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
2
cos( ) cos( )
- dB
dI N A V NA L LI t I t dt dt l
- High frequency power converters use
active switching circuits and PWM
– Superposition of many frequencies – Materials should have broadband capabilities
- Heat dissipation in the inductors
– Scaling down the surface while keeping the dissipated heat brings thermal management problems
- We have to add winding losses and core
losses
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- Lower permeability allows larger
efficiency under some circumstances
- For the same induction, we need
larger H (more current or more turns) for lower permeability materials
- Depending if the added stored
energy is larger than the additional heating, it could be beneficial
A.M. Leary, P.R. Ohodnicki, M.E. McHenry, JOM 64 (2012) 772
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
SENSORS: GI ANT MAGNETO I MPEDANCE
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
- 3
- 2
- 1
1 2 3
- 1.0
- 0.5
0.0 0.5 1.0
M/MS H/HK
The (very) basics of GMI
- Skin penetration depth
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Giant magnetoimpedance
- 8000
- 4000
4000 8000 0.6 0.8 1.0
H (A/m) |Z| ()
Amorphous (as-cast) Amorphous (structurally-relaxed) Nanocrystalline (annealed at the onset) Nanocrystalline (annealed at the end)
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
GMI vs Fluxgate field sensors
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
Y . Honkura, J Magn Magn Mater 249 (2002) 375
Relationship anisotropy/ GMI
500 600 700 800 900 75 150 0.0 0.2 0.4 0.6
X/X
Ta(K)
16 at. % Si 9 at. % Si
R/R
500 600 700 800 900 50 100 150 200 250 16 at. % Si 9 at. % Si
<H
K> (A/m)
Ta (K)
Victorino Franco. European School of Magnetism. Cargèse (France) 2013
V . Franco, A. Conde, Materials Letters 49 (2001) 256
Conclusions
- Soft magnetic materials are used in
numerous energy-related applications
- Coercivity can be optimized by properly
designing the microstructure of the materials
– Random anisotropy model
- High temperature soft magnetic
amorphous alloys are a challenge
- Amorphous and nanocrystalline alloys
can be a good testing ground to develop models of multiphase magnetic systems
Victorino Franco. European School of Magnetism. Cargèse (France) 2013