In summary, the present study has shown that Y3Fe5-xInxO12 (x = 0 ÷ 0.7) powders with size between
50 – 100 nm were fabricated using the sol-gel method. The single phase structural was observed for x
as large as 0.6. At x = 0.7, a small amount of orthoferrite YFeO3 appears (~ 2%). The value of lattice
constant increases with increasing x. Our results show that In3+ ions can replace for Fe with the
concentration up to x = 0.7. Saturation magnetization of substituting samples increases with increasing
of In3+ concentration x while the Curie temperature gradually decreases. The magnetic properties can be
understood with assumption that In atoms mainly occupy the octahedral sites.
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VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 28-34
28
Effect of Substituted Concentration on Structure and Magnetic
Properties of Y3Fe5-xInxO12
Vu Thi Hoai Huong, Dao Thi Thuy Nguyet, Nguyen Phuc Duong*
ITIMS, Hanoi University of Science and Technology,
No. 1, Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam
Received 09 November 2018
Revised 18 December 2018; Accepted 18 December 2018
Abstract: This study examines the effect of substituted concentration on the structure and magnetic
properties of Y3Fe5-xInxO12 (x = 0.1 ÷ 0.7) powder samples prepared using the sol-gel method. The
morphological properties of the samples were analysed using XRD, SEM. The single phase of garnet
was obtained in x = 0.1 ÷ 0.6 samples. The lattice parameters of the samples exhibit a linear increase
with the increasing In3+ content, which can be explained by a substitution of In3+ ions for Fe3+ ions,
considering the larger ionic radius of In3+ compared with that of Fe3+. Crystallite sizes were
determined via the XRD data which are of 38 – 49 nm while the particle sizes were estimated from
SEM images to be in range of 50 - 100 nm. Magnetization and Curie temperature of the single phase
samples were studied by magnetization curves in fields up to 10 kOe and in the temperature range
from 80 K to 560K. With the increase of In3+, the magnetization gradually increases while the Curie
temperature decreases due to the occupation of In atoms at the a sites and the reduction of
intersublattice interaction, respectively.
Keywords: Yttrium iron garnet, Indium substitution, cation distribution, magnetization, Curie
temperature.
1. Introduction
Yttrium ferrite garnet Y3Fe5O12 (YIG) is known as one of the most important garnets for microwave
applications. It is material that widely used in microwave devices, transformers, electric generators, bio-
processing, and storage devices [1-7] because of its combine good high-frequency dielectric properties
with a ferrimagnetic order. YIG has three different crystallographic sites with 16 Fe3+ ions in the
octahedral [a] site, 24 Fe3+ ions in the tetrahedral site (d) and 24 Y3+ ions in the dodecahedral {c} site.
The Fe atoms on the octahedral sites couple anti-ferromagnetically to the Fe atoms on the tetrahedral
________
Corresponding author. Tel.: 84-915527063.
Email: duong@itims.edu.vn
https//doi.org/ 10.25073/2588-1124/vnumap.4298
V.T.H. Huong et al. / VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 28-34
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sites (Jad < 0) and there is no coupling to the dodecahedral sites because yttrium is a nonmagnetic atom.
The magnetization of YIG per formula unit calculated by 3 tetrahedral and 2 octahedral sites,
corresponding to a net moment of 5(3 - 2)µB = 5µB. The interest in the structural, microstructural and
magnetic properties of YIG has been due to the fact that all these properties can be widely varied by
dopant substitutions [8-10]. In previous studies, nonmagnetic ion as V5+ was substituted on Fe ions at d
site and that is reason leading to reduce magnetization and Curie temperature of the system [11, 12]. In
most applications of ferrite garnets, enhancement of the magnetization of the materials is required which
can be achieved by substituting non-magnetic ions on the a sublattice. In this work, In3+ ions were
substituted for Fe3+ and the effect of the presence of non-magnetic ions on the structure and magnetic
properties were investigated.
2. Experimental
2.1. Sample preparation
The Y3Fe5-xInxO12 nanoparticle samples (x = 0 ÷ 0.7) were prepared by using sol-gel method. Starting
materials for preparation of the samples were high purity Fe(NO3)3, Y2O3, In2O3 (99,99%, Sigma
Aldrich). The oxides were dissolved in HNO3 1M to form nitrate solutions. The metal nitrate solutions
were mixed the required amount of the metal ions in a stoichiometric ratio of Y: Fe: In = 3: (5 – x): x.
An aqueous solution of citric acid was added into the solution with the total cation/citric acid molar ratio
is 1/3. The mixtures were stirred at 400 rpm and slowly evaporated at 80C to form gels. The gels were
dried at 95C for more than 12 hours in order to form xero-gels. The nanoparticle samples were obtained
after burning the xero-gels at 400C in 2 hours and annealing at 900C in 5 hours.
2.2. Analytical methods
The phase structure and crystallite sizes of the powder samples at room temperature were
investigated using X–ray diffraction (XRD) (Cu-Kα, Siemens D-5000) operating with Cu-Kα radiation
( =1.54060 Å) in the range of 20-70 by a 2 scan mode and 0.03 scan step at room temperature. The
grain size and morphology of samples were measured by using Scanning Electron Microscope
(SU3500). Magnetic measurements were carried out by using a vibrating sample magnetometer (VSM)
in maximum applied magnetic field of 10 kOe and at temperatures from 88 to 550 K. For the magnetic
measurements, the nanoparticles were pressed in the forms of platelets.
3. Results and discussion
3.1. Structure, cation distribution and morphology of particle samples
Fig.1 shows the XRD patterns of the Y3Fe5-xInxO12 (x = 0 – 0.7) nanoparticle samples sintered at
900C in 8 hours in which, the planes of a cubic unit cell of garnet structure were indexed as (321),
(400), (420), (422), (521), (611), (444), (640), (642), (800), (752), (840). On the others XRD studies of
samples sintered at 800C and 850C in 8 hours, the amount of YFeO3 phase is present. Therefore, the
temperature of 900C in 8 hours is the lowest temperature of the sol-gel method for preparing In
substituted YIG nanoparticle samples. This temperature is also lower than the 1000C of the mechanical
alloying method [13] and conventional mix oxide route [14].
V.T.H. Huong et al. / VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 28-34
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Figure 1. XRD patterns of Y3Fe5-xInxO12 (x = 0 – 0.7) samples. Small figure is enlarged image of diffraction
peak (420).
The samples with the In concentrations, x ≤ 0.6 are of single phase while the sample x = 0.7 exhibited
the second phase orthoferrite YFeO3. Similar result is also observed in other study on indium substituted
YIG polycrystalline samples [15]. The lattice constant, a, was computed using the interplanar spacing d
and the corresponding Miller indices (h,k,l). It is also observed that a increases from12.38 Å to 12.442
Å as x increasing from 0.1 to 0.7. Fig. 2 shows monotonous increasing of lattice constants with
increasing of In3+ contents. The observed variation in lattice constant can be explained by Vegard’s law,
according to that, if the radius of displacing ion is larger than the displaced ion, the lattice is expanded
and the lattice constant increases [16]. The ionic radius of In3+ (0.79 Å – in octahedral site) is larger than
that of Fe3+ (0.645 Å – in octahedral site; 0.49 Å – in tetrahedral site), resulting in the gradual increase
of the lattice constant with increasing In3+ content. The diffraction peaks (420) of the substituted samples
are found to shift to lower Bragg angles in comparison with the pure sample (x = 0) as shown in the
small Fig. 1. The value of a obtained at x = 0.1÷ 0.4 samples in this study are similar to the
polycrystalline samples with the same concentration prepared by conventional mixed oxide [14] and
mechanical alloying [13].
Table 1. Lattice parameter a (Å) and average crystallize size DXRD (nm) of Y3Fe5-xInxO12 (x = 0 ÷ 0.7)
x = 0 x = 0.1 x = 0.2 x = 0.3 x = 0.4 x = 0.5 x = 0.6 x = 0.7
a (Å) 12.371 12.38 12.387 12.398 12.407 12.423 12.433 12.442
DXRD (nm) 38 49 47 46 43 41 43 42
The average crystal size DXRD determined based on the width of the (420) peak using the Debye –
Scherrer varies from 41 to 49 nm as shown in Table 1. On the other hand, the morphological shape
particle of samples were characterized by SEM images shown that average sizes are in the range of 50
– 100 nm. SEM image of Y3Fe5-xInxO12 (x = 0.2; 0.3; 0.4; 0.6) samples were indicated in Fig. 3, in which,
due to the influence of temperature during annealing process, the grains are melted and clustered
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together, forming a porous structure. The difference in average crystal size and particle size is explained
by the fact that each particle observed on the SEM image contains several crystallites which have
dimensions in the orders of DXRD values. The structural heterogeneity region between these grains is
also known as crystal dislocation region where the crystal growth temporarily halted [17].
x = 0.2 x = 0.3
Figure 2. Lattice constant of Y3Fe5-xInxO12
(x = 0 ÷ 0.7) samples
x = 0.4 x = 0.6
Figure 3. SEM micrographs of Y3Fe5-xInxO12
(x = 0.2; 0.3; 0.4; 0.6)
3.2. Magnetic properties
Magnetic properties of samples were studied by means of origin magnetization curves measured in
magnetic fields up to 10 kOe at temperature from 88 K to 570 K. Fig. 4 demonstrates the M(H) curves
of Y3Fe5-xInxO12 (x = 0.1 ÷ 0.6) samples at 88 K. At all of the survey temperatures, the M(H) curves
reach saturation state in a magnetic field greater than 2 kOe. The value of the saturation magnetization
Ms were determined based on the flat part of the curves in the higher field region. Ms(T) curves in Fig.
5 show the dependence of Ms value of samples on the temperature. The saturation magnetization Ms(0)
at 0 K were determined by extrapolation of the graphical plot of Ms against T to T = 0 according to a
modified Bloch law [18]: Ms(T) = Ms(0) (1 – BTα) where B is the Bloch’s constant and α is the Bloch
exponent The experimental curves were the best reproduced with α 1.6 as shown in Fig. 5. The
extrapolated magnetic moments in ground state express in Bohr magneton per formula unit (µB/f.u) were
calculated according to the formula: m(0) = Ms(0)×W/5585 where W is the molar mass.
In order to evaluate the effect of substituted concentrations on the magnetic moment of samples, the
experimental magnetization values are identified at 0 K and compared with theory values. Applying the
Néel model for the assumption that In ions substituted in a sublattice, the theoretical values of m(0)theo
of substituted samples are identified based on formula (4): m(0)theo = m(tetra) – m(octa) = 3×5 µB – (2 – x)×5
V.T.H. Huong et al. / VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 28-34
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µB where m(tetra) and m(octa) are magnetization of tetrahedral and octahedral sites at 0 K. The theory and
experimental values m(0)exp of magnetizations are listed in Table 2.
Figure 4. The M(H) curves of Y3Fe5-xInxO12
(x = 0.1 ÷ 0.7) samples at 88 K
Figure 5. Temperature dependence of
magnetization values Ms of Y3Fe5-xInxO12
(x = 0 ÷ 0.7) samples
The increase of magnetic moment with increasing indium contents indicates that In atoms prefer to
enter the a site. The experiment values are smaller than the theoretical values for all the samples which
can be explained due to both dislocations and canting of the magnetic moments in the main phase. The
canting effect was reported previously for Sc substituted YIG samples in which non-magnetic Sc atoms
occupy the a site [18].
The Curie temperature TC values of Y3Fe5-xInxO12 samples are listed in Table 2. The TC of YIG
sample is similar to that of the bulk counterpart [19] while the TC of substituted samples decreases
gradually with x. The reduction of TC is due to the magnetic dilution effects. Comparison is made among
the TC values of magnetically diluted YIG systems which is shown in Table 2. It is seen that with the
same substitution level, TC decreases faster in the systems with substitution takes place at the d sites
compared to that at the a sites. This phenomenon can be explained by the fact that the number of pair
interactions between Fe ions in the a and d sublattice for the case (3-x)×2 is larger than that for the case
3×(2-x) where x represents the mole fraction of non-magnetic ions.
Table 2. Saturation magnetization Ms (0) and Curie temperature TC of Y3Fe5-xInxO12 (x = 0 ÷ 0.7) samples
x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Mexp (0 K) (emu/g) 35.5 41.05 43.58 44.5 46.56 47.58 49 50
m(µB/f.u.)exp (0 K) 4.72 5.47 5.84 6.04 6.34 6.54 6.78 6.98
m(µB/f.u.)theo (0 K) 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5
TC (K) 560 546 530 512 493 478 460 405
TC (K){Y}3[Fe2](Fe3-xAlx) O12 [20] - - - - - 480 - -
TC (K)
{Y3-xCax}[Fe2-xSnx](Fe3) O12 [21]
- 530 - 502 - 463 - -
V.T.H. Huong et al. / VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 28-34
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4. Conclusion
In summary, the present study has shown that Y3Fe5-xInxO12 (x = 0 ÷ 0.7) powders with size between
50 – 100 nm were fabricated using the sol-gel method. The single phase structural was observed for x
as large as 0.6. At x = 0.7, a small amount of orthoferrite YFeO3 appears (~ 2%). The value of lattice
constant increases with increasing x. Our results show that In3+ ions can replace for Fe with the
concentration up to x = 0.7. Saturation magnetization of substituting samples increases with increasing
of In3+ concentration x while the Curie temperature gradually decreases. The magnetic properties can be
understood with assumption that In atoms mainly occupy the octahedral sites.
Acknowledgments
This work was financially supported by the Vietnam National Foundation for Science and
Technology Development under Grant No. 103.02-2016.05.
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