Li0.5Fe2.5-xCrxO4 spinel nanoparticles (x = 0, 0.5, 0.75,
1 and 1.25) were obtained by using a citrate sol-gel
method. The samples have the cubic spinel structure
at room temperature with the lattice constant a
slightly decreases with increasing Cr content. The
good crystallinity single domain particles has average
diameter 22-30 nm. The core-shell model was
applied for the nanoparticles in order to estimate the
contribution of the spin disorder at the surface layer
to the net magnetization, indicating an average
surface thickness of 0.8 nm. Magnetic data reveal a
small amount of Li1+ ions in the B sites interchanges
with Fe3+ ions in the A sites and the possible
collinear ferrimagnetic order for all the samples. The
variation of the magnetic coercivity of the particle
assemblies as a function of Cr content is qualitatively
explained in terms of the model for an aggregate
mixture of uniaxial anisotropic single- and
multidomain particles and other factors including the
anisotropy, saturation magnetization, and
interparticle interactions.
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Vietnam Journal of Chemistry, International Edition, 55(4): 521-526, 2017
DOI: 10.15625/2525-2321.2017-00502
521
Effect of chromium substituted on structural and magnetic
characterization lithium ferrite nanoparticles
Nguyen Thi Lan
1*
, Phuong Dinh Tam
1
, Nguyen Phuong Duong
2
, Than Duc Hien
2
1
Advanced Institute for Science and Technology, Hanoi University of Science and Technology (HUST)
2
International Training Institute for Materials Science, HUST
Received 16 June 2017; Accepted for publication 28 August 2017
Abstract
In this work, we present a structural, morphology and magnetic study of the Li0.5Fe2.5-xCrxO4 spinel nanoparticles (x
= 0, 0.5, 0.75, 1, and 1.25) with mean particle size of 20-30 nm prepared by sol-gel method. The lattice constants and
the size of particle decrease with increasing Cr concentration. In these samples, the preference of Cr
3+
and Li
+
ions in
the octahedral sites and a small degree of site-interchange between Li
+
in the octahedral sites and Fe
3+
in the tetrahedral
sites were found which increases with increasing the Cr content. A decrease of magnetization due to the spin disorder in
the surface layer of the particles was observed. The spontaneous magnetization at 5K suggests the Néel type of
magnetic ordering in these samples. The magnetic coercivity is discussed in terms of particle size, morphology and
chromium substitution.
Keywords. Chromium substitution, sol-gel method, nanoparticles, lithium ferrite.
1. INTRODUCTION
Lithium ferrite Li0.5Fe2.5O4 possesses high saturation
magnetization, high Curie temperature and soft
magnetic hysteresis loop. For a long time it has
continuously been interested for application in the
fields of low-cost microwave devices, memory cores
[1, 2] and for cathode materials in rechargeable
lithium batteries [3]. Li0.5Fe2.5O4 is an inverse spinel
with the Li
+
and the three-fifths of the Fe
3+
ions
occupying the octahedral B sites of the cubic spinel
structure of the general formula AB2O4. The rest of
the Fe
3+
ions are located at the tetrahedral A sites.
The substitution of other 3d ions for iron plays
an important role on the modifications of the site
occupancy as well as on the electrical and magnetic
properties of lithium ferrite [4]. Among others,
chromium substituted lithium ferrites have been the
subject of extensive technical and fundamental
investigation through the years. Several groups
performed Mössbauer experiments in order to
specify the cation distribution at A and B sites of
Li0.5Fe2.5-xCrxO4 (0 ≤ x ≤ 2) samples prepared by
different techniques [5-9]. A general conclusion is
that Cr
3+
has a strong tendency to occupy B site by
replacing Fe
3+
ions because of favorable crystal field
effects. With a successive increases of Cr
3+
, Li
1+
ions
are driven to the A site to satisfy the charge
compensation condition. The crystal structure shifts
from order to disorder form up on chromium
substitution [6, 7]. Thereby, the nominal cation
distribution in the Li0.5Fe2.5-xCrxO4 series can be
summarized as in table 1.
One of the known effects of substitution by Cr is
to disrupt the interatomic exchange interactions
between Fe
3+
ions and hence the Curie point
decreases monotonously with Cr content x. On the
other hand, the chromium substituted lithium ferrites
are among the few systems exhibiting the effect of
magnetic compensation which was first pointed out
by Gorter [10]. However, irregular distribution of
cations in the two crystallographic sites often take
place in ferrite nanoparticles prepared at lower
sintering temperatures in comparison with the
conventional ceramic method.
Dey et al. have
characterized the Li0.5Fe2.5O4 nanoparticles prepared
by citrate precursor method and showed that in the
preparation process the formation of a gel followed
by spongy mass may lead to random distribution of
Li
+
between the octahedral and tetrahedral sites
during sintering of the samples [11]. The authors
have shown that the number of Li
+
ions in the
tetrahedral sites is 0.36 and 0.34 ions per formula
unit for the samples with average particle diameter
of 9.9 nm and 19.4 nm, respectively. The change in
cation distribution leads to substantial modifications
VJC, 55(4) 2017 Nguyen Thi Lan et al.
522
of magnetic properties such as sublattice moments,
magnetic interactions and anisotropy.
Although many works have been reported on
the preparation and characterization of the
Li0.5Fe2.5-xCrxO4 in bulk and nanosized forms, there
is a lack of neutron scattering and magnetization
data at low temperatures which are helpful for the
discussion of magnetic ordering in these materials.
This paper presents the study of crystal structure and
the magnetization of the Li0.5Fe2.5-xCrxO4 (0 ≤ x ≤ 1)
nanoparticles prepared by a citrate sol-gel route. The
motivation for the study on the nanoparticle samples
is due to their relevance to the modern technological
applications [12, 13]. Discussions are focused on the
size confinement and cation distribution effects
toward the spontaneous magnetization, coercivity,
and magnetic ordering.
2. EXPERIMENTAL
Stoichoimetric amounts of LiNO3, Fe(NO3)3,
Cr(NO3)3 were dissolved completely in deionized
water. In these processes, Li
+
/[(1-x)Fe
3+
+xCr
3+
] was
fixed at 0.5/2.5 and xCr
3+
/(1-x)Fe
3+
was varied with
x = 0, 0.5, 0.75, 1 and 1.25. Each aqueous solution
containing Li
1+
, Fe
3+
and Cr
3+
was poured into citric
acid (AC) with the total cations/citric acid molar
ratio = 1/1. Ammonium hydroxide in aqueous form
was added to the mixed solutions and the pH of the
solutions was adjusted to about 7. The mixtures were
stirred at 1000 rpm and slowly evaporated at 80
o
C
to form gels. The gels were dried at 120
o
C for 2 h
and then heated in air at 350
o
C for 2h in order to
form xerogels. The nanoparticle samples were
obtained after sintering the products at 600
o
C in 2h.
X-ray diffraction (XRD, Cu-Kα, Siemens D-
5000) was employed to identify the crystal structure
of the samples at room temperature. High-resolution
transmission electron microscope (Tecnai G2 F30)
was used to examine the particle size and
morphology. The Fe/Cr ratios at sample surfaces
were determined on an X-ray microanalysis system
(ThermoNora). The magnetic loops at 5 K were
measured using a superconducting quantum
interference device (SQUID) by Quantum Design
with a maximum field of 5T.
3. RESULTS AND DISCUSSION
3.1. Structure and morphology analysis
X–ray patterns show that all the samples contain
only cubic spinel oxide phase (Fig. 1a).
Superstructure lines were observed for x = 0 and x =
0.5 which arise from the partial ordering of the
lithium sublattice [14]. These lines are largely
suppressed for x = 0.75 and vanish at higher levels
of chromium substitution. This indicates that Cr
3+
ions are statistically disordered within the structure
and disrupt the ordered lithium arrangement.
The cubic lattice parameter a is determined
from the XRD patterns and listed in Table 1. For x =
0, a value of 0.834 nm was found for a, which is
comparable to that of the bulk Li0.5Fe2.5O4.
15
A
systematic decrease in lattice parameter with
increasing chromium substitution is seen which is
similar to the results of previous studies of materials
prepared by conventional ceramic and other
chemical methods [13, 14]. Fig. 1b show the Bragg
angle at peak (311) increase with increasing Cr
substitution. This variation in unite cell size may be
attributed to the ionic radius of six-fold-coordinated
Cr
3+
being smaller (0.064 nm) than that of six-fold-
coordinated Fe
3+
(0.067 nm) [16]. The crystallite
size of the nanocrystalline samples was measured
from XRD line broadening analysis applying
Scherrer’s formula [17].
cos
k
d
(1)
where d is the mean dimension of the crystallites, λ
the wavelength of the X-ray radiation, the Bragg
angle, k a shape factor taken to be 0.95 and β the
peak width measured at half of the maximum
intensity. The mean crystallite size d decreases with
the increase of x which is probably related to the
decrease in the lattice constant. Decreasing tendency
of particle size was also observed for other Cr
substituted ferrites in the forms of nanoparticles and
polycrystalline bulk [16, 18]. However, the
mechanism for the grain growth has been proposed
and requires further investigation.
20 30 40 50 60
(3
1
1
)
(2
2
1
)
(2
1
0
)
x = 1.25
x = 1.0
x = 0.75
x = 0.5I
n
te
n
s
it
y
(
a
rb
.
u
n
it
)
(2
2
0
)
(3
1
1
)
(4
2
2
)
(4
0
0
)
(5
1
1
)
(4
4
0
)
2degrees
x = 0
a
34 35 36 37
b
Figure 1: Indexed XRD patterns of the
Li0.5Fe2.5-xCrxO4 nanoparticle samples
VJC, 55(4) 2017 Effect of chromium substituted on structural
523
The substitution of other 3d ions for iron plays
an important role on the modifications of the site
occupancy as well as on the electrical and magnetic
properties of lithium ferrite [4]. Among others,
chromium substituted lithium ferrites have been the
subject of extensive technical and fundamental
investigation through the years. Several groups
performed Mössbauer experiments in order to
specify the cation distribution at A and B sites of
Li0.5Fe2.5-xCrxO4 (0 ≤ x ≤ 2) samples prepared by
different techniques [5, 6, 8, 10, 15]. A general
conclusion is that Cr
3+
has a strong tendency to
occupy B site by replacing Fe
3+
ions because of
favorable crystal field effects. With a successive
increase of Cr
3+
, Li
1+
ions are driven to the A site to
satisfy the charge compensation condition. The
crystal structure shifts from order to disorder form
up on chromium substitution [6, 10]. Thereby, the
nominal cation distribution in the Li0.5Fe2.5-xCrxO4
series can be summarized as in Table 1.
Table 1: Nominal composition (using a notation
where round brackets denote tetrahedral sites and
square brackets denote octahedral sites), the lattice
constant a and average crystallite size d of the
Li0.5Fe2.5-xCrxO4 nanoparticles
x Nominal composition
a
(nm)
D
(nm)
0 (Fe1)[Li0.5Fe1.5]O4 0.834 29.9
0.5 (Fe1)[Li0.5Fe1Cr0.5]O4 0.833 26.9
0.75 (Fe1)[Li0.5Fe0.75Cr0.75]O4 0.832 25.1
1.0 (Fe1)[Li0.5Fe0.5Cr1]O4 0.831 21.9
1.25 (Fe1)[Li0.5Fe0.25Cr1.25]O4 0.829 21.08
Figure 2: HR-TEM photographs of the sample x =
1.0 in magnification scales 20 nm (a) and 5 nm (b)
The representative HR-TEM photographs of the
ensembles x = 1 are shown in Fig. 2. Via high-
resolution HR-TEM experiments, the well-ordered
crystallographic planes in an individual particle of
the samples are observed. The particles have
polyhedral shapes with particles size in the range of
12-50 nm. Due to the sintering step, some parts of
the samples are composed of interconnected
particles. The derived average particle sizes of the
samples 20.7 nm are comparable to the average
crystallite sizes calculated from XRD line
broadening. In addition, the element analyses reveal
that the Cr/Fe ratios of the substituted samples are
very close to the stoichiometries.
3.2. Magnetization loops at 5 K
In order to study the magnetization process in the
ground state, the hysteresis loops were measured at 5
K after cooling the samples in zero field. The data
are plotted in Fig. 3a. The M–0H curve of the
samples approaches to saturation around 1 T and
with further increase of magnetic field it is
accompanied by a linear high-field susceptibility HF
(table 2). The spontaneous magnetization Ms was
derived by extrapolating the linear part of the curve
to zero field. The Fig. 3b shows the loop of the
sample x = 0.75 at the low field from which the
coercivity Hc is determined. The experimental data
of these samples are listed in table 2. For
comparison, also shown is the Néel magnetic
moment Ms
Néel
which is the difference of the
magnetic moments of A and B sublattice, i.e. M =
MB – MA for nominal compositions with spin-only
cation moments. As plotted in Fig. 4, the Ms
decreases almost proportionally with the increase of
Cr content x. These results correspond to collinear
spin structures where the Cr
3+
ions of lower spin
substitute successively for the Fe
3+
ions in the B
sublattice of the dominant magnetic moment.
-4 -2 0 2 4
-2
-1
0
1
2
M
(
/
f
.u
.)
H(Oe)
M
(
/
f
.u
.)
H(Oe)
x=0
x=0.5
x=0.75
x=1.0
x= 1.25
a
-2000 0 2000
-1
0
1
b
x = 0.75
Figure 3: The hysteresis loops of the fixed
Li0.5Fe2.5-xCrxO4 nanoparticles at 5 K (a) and the
sample x = 0.75 at the low field (b)
First, we consider the pure lithium ferrite
sample. The observed spontaneous magnetization is
2.1 B/f.u. which is smaller than the calculated value
VJC, 55(4) 2017 Nguyen Thi Lan et al.
524
2.5 B/f.u. The reduced value of Ms can be attributed
to the surface effects arising from the broken
exchange interactions and reduced coordination in
the nanosized particles [14].
The contribution of the
disordered spins in the surface shell to the total
magnetic moment is manifested by the high-field
susceptibility HF, being dependent on the surface
anisotropy. Assuming the core-shell morphology for
one nanoparticle in which the magnetically
disordered layer has a constant thickness t, the
dependence of magnetization of the sample on the
particle size d can be expressed by the following
equation [19]:
Ms(d) = Ms(bulk)(1-6t/d) (2)
where Ms(d) is the spontaneous magnetization for
particles of size d. Using the average d value of 30
nm and Ms(bulk) = 2.5 B/f.u. (table 1), t is obtained
as 0.8 nm which is comparable to the lattice constant
0.834 nm. The obtained value is within order of
magnitude of those reported earlier for other lithium
ferrite nanoparticle systems [14, 20].
0.0 0.5 1.0 1.5
0.0
0.5
1.0
1.5
2.0
2.5
M
s
(
B
/f
.u
.)
Cr content (x)
Figure 4: The variations of the spontaneous
magnetization Ms at 5 K () and the corresponding
Néel magnetic moment () of the Li0.5Fe2.5-xCrxO4
nanoparticles as a function of the Cr content x.
Lines are guides to the eyes
On the other hand, the spontaneous
magnetizations of the substituted samples are higher
than the calculated values which reveal the site-
interchange between Fe
3+
and Li
1+
in A and B sites,
respectively. This result is consistent with the
previous studies on the samples with the same
composition prepared by the ceramic method [16,
21]. In the work of Gorter et al., [21] it was specified
that with increasing Cr content, the proportion of
Li
1+
ions occupying the tetrahedral sites increases
which is responsible the imbalance of magnetic
moment between A and B sublattices. As mentioned
above, Ms is originated from the core part of the
particles. The cation distribution was corrected via
Ms(bulk) calculated from Eq. (2) where the Ms(d)
value, the corresponding particle size and the surface
layer thickness (taken as one lattice constant) are
input parameters. The number of Li
1+
ions in the
tetrahedral sites in these materials is estimated and
listed in table 2.
Table 2: Lithium ion content at the tetrahedral sites,
high-field susceptibility HF, magnetic coercivity
0Hc and spontaneous magnetization Ms of the
Li0.5Fe2.5-xCrxO4 nanoparticles
x
Li
+
content at
A sites
(ions/f.u.)
HF
(10
2
T
f.u./B)
0Hc
(mT)
Ms
(B/f.u.)
Ms
Néel
(B/
f.u.)
0 0 4.50 25 2.10 2.5
0.50 0.048 3.40 24 1.59 1.5
0.75 0.050 2.62 22 1.20 1.0
1.00 0.056 1.96 31 0.85 0.5
1.25 0.090 2.60 25.5 0.70 0.0
The values of Ms
Néel
calculated based on the Néel model
(= MB – MA) with the spin-only cation moments are also
shown.
From the hysteresis loops, the magnetic
coercivity Hc of the samples are determined and
illustrated in table 2. Generally, for the nanoparticles
of soft ferrites, 30-40 nm is the critical size below
which the particles are within the range of single
domain size limit. The TEM results in Fig. 2 show
that the samples in our study are composed of both
dispersed particles and interconnected particles due
to the sintering process, of which the former
corresponds to single domain state and the latter
corresponds to the multidomain state. For single
domain particle the magnetization process proceeds
by coherent rotation of magnetic moment at high
applied magnetic fields following the Stoner-
Wohlfarth behavior whereas for multidomain
particle, domain wall motion dominates. According
to magnetism theory [22], in the case of a uniaxial
anisotropy material with first order anisotropy
constant K1 < 0, the coercivity of an aggregate of
single domain particles can be estimated as Hc =
K1/Ms whereas for the aggregate of particles with a
multidomain structure, Hc = 0.24K1/Ms. Thus their
coercivity is expected to be between 0.24K1/Ms and
K1/Ms [22]. Indeed, the coercivity of the pure
lithium ferrite sample x = 0 (0Hc = 25 mT) lies in
between the coercivity limits (K1/Ms ~ 660 Oe) as
estimated by using the reported K1 and Ms values of
VJC, 55(4) 2017 Effect of chromium substituted on structural
525
Li0.5Fe2.5O4 [4, 22].
The Hc values of the samples fluctuate between
21.3 and 31 mT and do not follow a certain tendency
when x increases from 0 to 1.25. It should be noted
that the coercivity depends on the particle size and
morphology of the samples but also on other sources
such as K1, Ms, long-range dipolar coupling and
short-range exchange interaction of interconnected
particles. The influence of chromium substitution on
the magnetic anisotropy of Cr substituted lithium
ferrites was investigated for low Cr concentrations x
0.4 [16, 18], which showed the reduction of K1
upon chromium substitution.
The samples prepared lithium-chromium nano
ferrites of all compositions have the crystallite size
from 22 nm and 30 nm. Ferrites with such low
particle size are expected to show
superparamagnetic behavior. This has motivated the
author to investigate the superparamagnetic behavior
of these samples by performing Zero Field Cooled
(ZFC) and Field Cooled (FC) magnetization
measurements using the SQUID.
Figure 5 shows the Magnetization–Temperature
curves recorded in FC and ZFC modes for the
samples in an external magnetic field of 100 Oe and
cooled from 300 K down to 5 K.
Phenomenologically, the peak of the ZFC curves
corresponds to a state where the particles cross from
0 100 200 300
ZFC
x =0.75
x =0.5
M
(a
rb
.
u
n
it
)
M
(a
rb
.
u
n
it
)
T(K)
x =0
FC
ZFC
FC
FC
x = 1
T
B
0 100 200 300
ZFC
T
B
x = 1.25
Figure 5: ZFC and FC magnetization curves for the
Li0.5Fe2.5-xCrxO4 nanoparticle samples measured
in an applied field of 100 Oe
superparamagnetic behavior to ferromagnetic
behavior with decreasing temperature. The
temperature at which this peak occurs is commonly
referred to as the blocking temperature. As seen in
Fig. 5, at low temperatures the magnetization in the
FC curve is higher than that in the ZFC curve and
the two curves overlap when the temperature rises
above the blocking temperature for the sample x=1
and x = 1.25, and not appearing in other samples. TB
value is defined from the ZFC-FC curve of the
samples x = 1 and x = 1.25 in the range 200 K and
180 K, respectively. Caused bythis phenomenon due
to the Fe ions be replaced with chromium ions,
resulting nanoparticle size is reduced. The critical
particle size limit for superparamagnetism decreased
with increasing concentrations of Cr
4. CONCLUSION
Li0.5Fe2.5-xCrxO4 spinel nanoparticles (x = 0, 0.5, 0.75,
1 and 1.25) were obtained by using a citrate sol-gel
method. The samples have the cubic spinel structure
at room temperature with the lattice constant a
slightly decreases with increasing Cr content. The
good crystallinity single domain particles has average
diameter 22-30 nm. The core-shell model was
applied for the nanoparticles in order to estimate the
contribution of the spin disorder at the surface layer
to the net magnetization, indicating an average
surface thickness of 0.8 nm. Magnetic data reveal a
small amount of Li
1+
ions in the B sites interchanges
with Fe
3+
ions in the A sites and the possible
collinear ferrimagnetic order for all the samples. The
variation of the magnetic coercivity of the particle
assemblies as a function of Cr content is qualitatively
explained in terms of the model for an aggregate
mixture of uniaxial anisotropic single- and
multidomain particles and other factors including the
anisotropy, saturation magnetization, and
interparticle interactions.
Acknowledgment. The work was supported by
Foundation of HUST for Science and Technology
Development through a research project (Code:
T2016-PC-012).
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Corresponding author: Nguyen Thi Lan
Advanced Institute for Science and Technology
Hanoi University of Science and Technology
No. 1, Dai Co Viet Road, Hai Ba Trung Dist., Hanoi
E-mail: lanchoac@gmail.com or lan.nguyenthi1@hust.edu.vn.
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