Journal of Alloys and Compounds 483 (2009) 560–562
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Journal of Alloys and Compounds
journal homepage: www.elsevier.com/locate/jallcom
Magnetically induced anisotropy in Co rich Finemet type nanocrystalline alloys
Aleksandra Kolano-Burian a,∗ , Roman Kolano a , Lajos K. Varga b
a
b
Institute of Non-Ferrous Metals, Sowińskiego 5, 44-101 Gliwice, Poland
Research Institute for Solid State Physics and Optics, 1525 Budapest, P.O.B. 49 Hungary
a r t i c l e
i n f o
Article history:
Received 30 August 2007
Received in revised form 11 July 2008
Accepted 18 July 2008
Available online 17 December 2008
Keywords:
Amorphous materials
Nanostructured materials
Quenching
Magnetic measurements
a b s t r a c t
The relationship between magnetic field induced anisotropy and magnetic properties in Co-doped
Finemet type nanocrystalline alloys was studied. Low remanence ratio (Flat) B–H curves can be obtained
by the transverse field annealing. The kinetics of the induced anisotropy was studied conducting the
isotherm heat treatment at different annealing temperatures and treatment time. The activation energy
of about 3–3.2 eV has been obtained, which is similar to the activation energy of an amorphous crystalline
transformation in the Co-doped Finemet samples.
© 2008 Elsevier B.V. All rights reserved.
1. Introduction
In many applications flat and linear magnetization curve is
required, which can be obtained by gaped ferrite or better, by the
transverse induced anisotropy of integer toroidal samples. However, the flatness measured as an inverse of the effective initial
permeability (eff ) cannot be diminished by magnetic field annealing to below eff ∼20 000 for the ordinary Finemet composition.
This is why, following an example of the Co based and zero lambda
amorphous alloys (e.g. VITROVAC 6050 and 6030), the attempts
are sometimes made to induce higher transverse anisotropy in
Co-doped Finemet, where Fe is replaced with Co. The advantage
of the Co-doped Finemet compared to the amorphous Co-based
alloys consists in better thermal stability of the magnetic properties and in relatively lower Co concentration. Since the first
heat treatment of the amorphous alloys in a magnetic field [1]
flattens the hysteresis loop by the magnetic field annealing it is
commonly used for producing toroidal samples from zero lambda
amorphous alloys with an effective permeability (eff ) around
1500 and from ordinary Finemet with eff between 20 000 and
90 000. Yoshizawa has demonstrated recently [2] that the Co-doped
Finemet containing 9 at.% Si is highly susceptible to flattening the
magnetization curve by the transverse magnetic field annealing so
that an induced anisotropy can be as high as 1800 J/m3 for the
Fe8.8 Co70 Cu0.6 Nb2.6 Si9 B9 composition, which has almost as high
Co/(Fe + Co) ratio (∼0.9) as that for the zero lambda amorphous
composition VITROVAC 6050. Moreover, the flattening down to
eff ∼ 200 was obtained at the expense of coercivity increase to
about 30 A/m. This is why we have performed a systematic study
of the Co-doped “ordinary” Finemet Fe73.5−x Cox Si13.5 B9 Nb3 Cu1 ,
which proved to be applicable at higher temperatures than the
Co free Finemet [3,4]. In this work, we present results from a
detailed study of the kinetics of the transverse anisotropy induced
under isothermal conditions at different temperatures and annealing times.
2. Experimental
The Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 and Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 amorphous ribbons were fabricated by melt-spinning technique. Before casting, chemical
composition of the master alloys was examined using X-ray microanalyser. Amorphousness of the ribbons was checked by means of the X-ray diffractometry. Samples
in a form of toroidal cores were prepared from the amorphous precursor ribbon and
annealed at the temperatures between 380 and 500 ◦ C for different periods of time
ranging from 1 to 320 min in a protective atmosphere of argon, in an external magnetic field HT of 500 kA/m oriented along the toroid axis. After the thermo-magnetic
treatment, the AC (50 Hz) magnetic properties of the cores were measured using a
computerized hysteresis loop tracer (REMACOMP C-100). The induced anisotropies
Ku , were estimated from the measured anisotropy field HK , and magnetization Js
data. The anisotropy field was evaluated from the remanence branch of the hysteresis loop using the singular point method in a version proposed by Barandiaran et al.
[5].
3. Results and discussion
∗ Corresponding author. Tel.: +4832 2380 251; fax: +4832 2316 933.
E-mail address: olak@imn.gliwice.pl (A. Kolano-Burian).
0925-8388/$ – see front matter © 2008 Elsevier B.V. All rights reserved.
doi:10.1016/j.jallcom.2008.07.154
In order to obtain flat hysteresis loops characterized by the
effective permeability eff even below 10,000 it was necessary
A. Kolano-Burian et al. / Journal of Alloys and Compounds 483 (2009) 560–562
561
Table 1
An effect of the annealing temperature and time on the induced magnetic anisotropy Ku (A – Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 , B – Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 ).
t (min)
1
10
20
40
80
160
240
320
Ta = 500 ◦ C
Ta = 480 ◦ C
Ta = 460 ◦ C
Ta = 440 ◦ C
Ta = 420 ◦ C
Ta = 400 ◦ C
Ta = 390 ◦ C
Ta = 380 ◦ C
A
B
A
B
A
B
A
B
A
B
A
B
A
B
A
B
75
167
202
243
312
364
361
745
1044
1152
1147
1204
1271
1242
75
76
76
138
186
210
642
902
967
998
1060
1084
70
73
75
90
103
118
188
185
638
852
891
922
953
967
976
958
13
73
75
72
74
78
594
540
599
651
639
721
13
73
71
72
71
71
65
71
594
553
599
620
664
710
768
820
9
11
11
69
72
73
594
556
594
594
594
572
10
10
11
11
11
12
588
545
594
594
594
588
11
11
11
11
11
12
568
545
581
583
584
570
to conduct the annealing process in a presence of the
transverse magnetic field. Hysteresis loops for both composition (Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 and Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 )
annealed in a transverse magnetic field of 500 kA/m were increasingly flat with the increase of the annealing temperature and time.
From the hysteresis loops obtained for the samples heat-treated
in a presence of the magnetic field, distributions of a transverse
anisotropy field were determined as a second derivative of the
returning branch from the saturation down to the remanent magnetization multiplied by (−H) [5]:
p(HK ) = −H
∂2 M
∂2 H
The induced magnetic anisotropy constant Ku was determined
as Ku = Js HK /2. An effect of the annealing temperature and time
on the induced magnetic anisotropy Ku is shown in Table 1. The
value of Js was 0.86 and 1.08 for the Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9
and Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 alloys, respectively. Figs. 1 and 2
show Ku as a function of t for different annealing temperatures.
A strong increase in Ku was observed from the temperatures of 420 ◦ C and 460 ◦ C for the Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 and
Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 compositions, respectively. The highest value of Ku was obtained for the temperature of 500 ◦ C after
160 min annealing. With further increase of the annealing time an
increase in the induced annealing anisotropy was not observed.
For the 9 at.% Si containing Co-doped Finemet, the value of Ku was
about five times higher than in the case of 13 at.% Si containing
Co-doped Finemet. The transverse induced magnetic anisotropy
allows to reduce permeability to 780 and 340 for 13 at.% and 9 at.%
Si containing Co doped Finemet, respectively. Figs. 3 and 4 show the
Fig. 1. The dependence of Ku on t for Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 alloys annealed
at the temperatures between 380 and 500 ◦ C in a transverse magnetic field HT of
500 kA/m.
Fig. 2. The dependence of Ku on t for Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9 alloys annealed at the
temperatures between 380 and 500 ◦ C in a transverse magnetic field HT of 500 kA/m.
dependence of ln(t − to ) on 1/Ta . The Kronmüller’s relaxation model
of the induced anisotropy was used to calculate activation energy Q.
Although our activation energy determination is affected by significant error (∼±0.5 eV), it can be assumed that for both compositions
we have obtained the same activation energies, Q ∼ 3–3.2 eV, which
is similar to the value obtained for the amorphous-crystalline transformation of the studied Co-doped Finemet alloys. It is worth
mentioning that for the Co-free Finemet composition the activation
Fig. 3. The dependence of ln(t − t0 ) on 1/Ta for the Fe14.7 Co58.8 Cu1 Nb3 Si13.5 B9 alloys
taking ln(t − t0 ) necessary to induce the same Ku ∼ 175 J/m3 at different Ta .
562
A. Kolano-Burian et al. / Journal of Alloys and Compounds 483 (2009) 560–562
4. Conclusions
The experimental values collected in Table 1 make it possible to
select proper values of the annealing temperature and time for the
required induced anisotropy (i.e. planned flatness of the magnetization curve). Starting from the amorphous state, the activation
energy determined through the variation with time of the induced
anisotropy (Ta being the parameter) proved to be in good agreement
with the value obtained by the Kissinger plot of DSC measurements.
Acknowledgements
This study was partially financed by the Ministry of Education and Science as a Targeted Research Project, over the period
2005–2008.
L.K. Varga was supported by the Hungarian OTKA grant K 62466.
References
Fig. 4. The dependence of ln(t − t0 ) on the 1/Ta for the Fe13.8 Co65 Cu0.6 Nb2.6 Si9 B9
alloys taking ln t necessary to induce the same Ku ∼ 900 J/m3 at different Ta .
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than that for the Co-doped alloys. It turns out that we have actually measured the activation energy of crystallization through the
induced anisotropy. The activation energy for the development of
an induced anisotropy should be measured on previously nanocrystallized samples as it was done by Emura et al. [7]. They have found
that an activation energy for the induced anisotropy was 2.9 eV in
the case of Co-free nanocrystalline Finemet and 1.9 eV in the case
of amorphous Finemet.
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