Journal of Rare Earths 38 (2020) 612e616
Contents lists available at ScienceDirect
Journal of Rare Earths
journal homepage: http://www.journals.elsevier.com/journal-of-rare-earths
Magnetocaloric effect in ErNi2 melt-spun ribbons*
nchez Llamazares a, *, P. Ibarra-Gayta
n a, b, C.F. Sa
nchez-Valde
s c, **, D. Ríos-Jara a,
J.L. Sa
d
P. Alvarez-Alonso
a
n Científica y Tecnolo
gica A.C., Camino a la Presa San Jos
Instituto Potosino de Investigacio
e 2055, Col. Lomas 4ª, San Luis Potosí, S.L.P. 78216, Mexico
rik, Park Angelinum 9, 04154 Kosice, Slovakia
CPM-TIP, University Pavol Jozef Safa
c
rez (UACJ), Calle Jos
n Multidisciplinaria, Ciudad Universitaria, Universidad Auto
noma de Ciudad Jua
Divisio
e de Jesús Macías Delgado # 18100, Ciudad
rez 32579, Chihuahua, Mexico
Jua
d
Departamento de Física, Universidad de Oviedo, Calvo Sotelo s/n, 33007 Oviedo, Spain
b
a r t i c l e i n f o
a b s t r a c t
Article history:
Received 28 March 2019
Received in revised form
23 July 2019
Accepted 26 July 2019
Available online 17 August 2019
ErNi2 ribbons were produced by rapid solidification using the melt spinning technique. Their structural,
magnetic and magnetocaloric properties in the as-solidified state were studied by X-ray diffraction,
scanning electron microscopy, magnetization and specific heat measurements. Samples are single phase
with the MgCu2-type crystal structure, a Curie temperature TC of 6.8 K and a saturation magnetization at
2 K and 5 T of 124.0 A$m2/kg. For a magnetic field change m0DH of 5 T (2 T) ribbons show a maximum
max
magnetic entropy change jDSpeak
M j of 24.1 (16.9) J/(kg$K), and an adiabatic temperature change DTad of
8.1 (4.4) K; this is similar to the previously reported literature for bulk alloys that were processed through
conventional melting techniques followed by prolonged thermal annealing. In addition, the samples also
show slightly wider DSM(T) curves with respect to bulk alloys leading to a larger refrigerant capacity.
© 2020 Chinese Society of Rare Earths. Published by Elsevier B.V. This is an open access article under the
CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Keywords:
ErNi2 Laves phase
Melt-spun ribbons
Magnetic entropy change
Adiabatic temperature change
Rare Earths
1. Introduction
In the past three decades, the magnetocaloric properties of a
long list of rare-earth metals, their solid solutions and rare-earthbased intermetallic compounds have been studied.1e6 Rare-earth
(RE) intermetallic compounds based on heavy rare earths elements undergoing a second-order ferromagnetic-to-paramagnetic
transition are of particular interest because they might show a large
reversible magnetocaloric effect (MCE) in the temperature range of
nitrogen and hydrogen liquefaction (i.e., from 10 to 80 K). In these
compounds, the high magnetic moment of the lanthanide leads to a
high saturation magnetization MS, whereas the crystalline field at
the RE site may lead to a sui-generis anisotropic behavior of
magnetization. Among them, binary ferromagnetic Laves phases
RNi2 with R ¼ Tb, Dy, Ho or Er, have received significant attention
*
Foundation item: Project supported by the SEP-CONACYT, Mexico (A1-S37066), the MINECO, Spain (MAT2014-56116-C4-R) and Principado de Asturias,
Spain (IDI/2018/000185).
* Corresponding author.
** Corresponding author.
nchez Llamazares),
E-mail addresses:
[email protected] (J.L. Sa
nchez-Valde
s).
[email protected] (C.F. Sa
since they are stable, easy to produce and below 50 K exhibit large
maximum magnetic entropy jDSpeak
M j and adiabatic temperature
max
DTad
changes.7e9 In view of that, they have been referred as
suitable working substances for their use in cryogenic magnetic
refrigerators.10,11
These compounds typically crystallize into the cubic MgCu2type crystal structure with the space group Fd3m (also known as
the C15 structure of Laves phases),12 and their magnetism only
comes from the large localized magnetic moment of the 4f rare
earth element (i.e., Ni atoms do not carry a magnetic moment) and
their parallel coupling through the exchange interaction via conduction electrons. Present contribution reports the magnetocaloric
(MC) properties of as-solidified melt-spun ribbons of the intermetallic compound ErNi2 with the available data of literature reported for bulk alloys. This compound shows the lowest Curie
temperature (TC) among the above-mentioned ones (around
7 K),13e15 as well as an interesting anisotropic behavior of magnetization as revealed by Gignoux and Givord,16 who performed
magnetization measurements at 1.5 K up to a high magnetic field of
14 T for a single crystal through the significant crystallographic
directions. Their study demonstrated that the spontaneous
magnetization at moH ¼ 0 is found throughout the [100] direction
although the crystalline field favors the [111] direction. The
https://doi.org/10.1016/j.jre.2019.07.011
1002-0721/© 2020 Chinese Society of Rare Earths. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/
licenses/by-nc-nd/4.0/).
nchez Llamazares et al. / Journal of Rare Earths 38 (2020) 612e616
J.L. Sa
spontaneous magnetization through those directions were 5.0 mB/
Er3þ and 2.9 mB/Er3þ, respectively. Furthermore, along both the
[111] and [110] crystalline directions, the magnetization M(moH)
increases rapidly at relatively low fields, surpassing the magnetization obtained along the [100] direction; the differences become
significant above 2 T, since the magnetization along the easy direction tends to saturate, whereas along [110] and [111] directions
progressively rise with the increasing of the magnetic field.
The existing information on the magnetocaloric properties of
ErNi2 is limited to the earlier theoretical calculations done by von
Ranke et al.8 and then by Plaza et al.,9 and the experimental studies
carried out by Tomokiyo et al.17 and more recently by Cwik
et al.18
The study of Plaza et al. considered the conventional and
anisotropic magnetocaloric effect9; for the conventional MCE they
compared the shape and trend obtained for the DSM(T) and DTad(T)
curves that were in reasonable agreement with the experimental
data. Their calculations were based on a Hamiltonian that
considered the effects of the crystalline electrical field, the exchange
interaction in a molecular-field approximation, and the Zeeman
energy; the authors highlighted that the results of this theoretical
calculation are more accurate than in their previous work.8 To the
best of our knowledge, all the experimental results reported on the
magnetocaloric properties of this compound correspond to bulk
polycrystalline alloys that were produced by arc melting followed by
a long-term thermal annealing under vacuum at temperatures
between 1100 and 1173 K from 2 to 20 d.9,17,18 The present research
was undertaken to fabricate ErNi2 melt-spun ribbons in order to
assess their MC response. This fabrication technique has been
successfully applied in recent years to synthesize the isostructural
Laves phases RNi2 with R ¼ Tb, Dy, Ho.19e21
613
3. Results and discussion
Fig. 1(a) shows several representative secondary electron SEM
images of the ribbons microstructure. The foreground image corresponds to the free surface, whereas the cross-section appears at
2. Experimental
First, a 4 g ingot with the stoichiometric composition of ErNi2
was produced by Ar arc-melting from highly pure Er (99.9%,
Sigma Aldrich) and Ni (99.998%, Alfa Aesar). To ensure its good
starting homogeneity, the ingot was re-melted three times; the
final mass of the as-cast ingot coincided with the starting one.
From this sample, melt-spun ribbons flakes were obtained under
a highly pure Ar atmosphere at a linear speed of the rotating
copper wheel of 25 m/s in an Edmund Bühler model SC melt
spinner system.
The X-ray diffraction (XRD) pattern of finely powdered meltspun ribbons was recorded between 20 and 100 with a 2q
increment of 0.01 in a high-resolution Rigaku Smartlab diffractometer with a wavelength of 0.15418 nm corresponding to Cu Ka
radiation. A dual beam scanning electron microscope (SEM, Helios Nanolab model ESEM FEI Quanta 200) was used in order to
obtain secondary electron images of the microstructure; the
system was equipped with an energy dispersive spectroscopy
(EDS) detector.
The magnetic measurements were carried out using a 9 T
Quantum Design Dynacool® physical property measurement system (PPMS) by means of the vibrating sample magnetometer option. Measurements were done on a needle-like ribbon sample
applying the external magnetic field through the major length
ribbon axis (that it is coincident with the rolling direction) to
reduce the effect of the internal demagnetizing field. The temperature dependence of the specific magnetization, the M(T) curves,
were measured under static magnetic fields of 5 mT and 5 T at a
temperature sweeping rate of 1.0 K/min. The specific heat cp as a
function of temperature was measured by using the heat capacity
module of a Quantum Design Evercool-I® PPMS® system; this
option measures the thermal response of a small thin sample by
means of a thermal-relaxation calorimeter.
Fig. 1. (a) SEM micrographs showing the ribbon free surface (foreground image) and
cross-section (inset); (b) Experimental and Le Bail refinement (Bragg R-factor of 0.692)
of the room temperature X-ray power diffraction of melt-spun ribbons; (c) Temperature dependence of the specific magnetization determined under low (5 mT; full red
symbols) and high (5 T; full black symbols) magnetic fields. Inset: dM/dT(T) curve at
5 mT; the Curie phase transition temperature TC appears at 6.8 K.
nchez Llamazares et al. / Journal of Rare Earths 38 (2020) 612e616
J.L. Sa
614
the inset. Ribbons are polycrystalline, they show an average ribbon
thickness of 21 mm, and are composed by micrometers in size grains
with no visible orientation with respect to the ribbon plane. The
cross-section shows a homogeneous distribution of grains, with no
appreciable differences in grain morphology, in contrast to the
columnar growth trend that has been observed in other RNi2 meltspun ribbons.20,21 No secondary phases are observed. A large
number of EDS analyses, performed on both ribbon surfaces and
their cleaved cross-section, confirmed the average 1:2 composition
in the fabricated samples (within a 0.1 at% of instrumental error).
Fig. 1(b) displays the room temperature X-ray powder diffraction
pattern together with the Le Bail refinement performed using the
FullProf suite package.22 It was correctly indexed considering the
Bragg reflections of the cubic MgCu2-type crystal structure of the
Laves phases (Strukturbericht designation: C15; space group:
Fd3m; PDF card: 04-001-0543); the cubic structure shows a lattice
constant a ¼ 0.7126(1) nm. No evidence of secondary phases, either
amorphous or crystalline, was found in the pattern (which agrees
with SEM observations). As Table 1 evidences, the determined
lattice constant is in good agreement with the values found in
literature for bulk alloys.13,18,23,24 Selecting several flat ribbons, a
second XRD pattern was recorded (not shown) by directing the Xray beam onto their free surface. No significant differences were
found in the intensities of the Bragg reflections of this XRD pattern
with respect to the one displayed in Fig. 1(b), confirming the
absence of meaningful crystallographic texture. It is well known
that ribbons fabrication by melt spinning of metallic crystalline
alloys is a quite empirical process and the attainment of grainoriented ribbons of a given material is not a simple task. With
such a purpose, the effect of several synthesis parameters, such as
linear speed of the copper wheel, temperature of the molten alloy
(that strongly influences its viscosity), nozzle-to-wheel distance,
ejection angle and overpressure to eject the liquid, on ribbons'
microstructure must be carefully studied and favorably combined.
Temperature dependencies of magnetization at low- and highmagnetic fields are presented in Fig. 1(c). The low magnetic field
curve unveils that the material undergoes a single well-defined
second-order magnetic phase transition. From the minimum of
the first derivative of the M(T) plot at 5 mT (displayed in the inset)
in the phase transition region we obtained a Curie temperature TC
of 6.8 K. As shown in Table 1, this is in good agreement with the
available data for bulk ErNi2 alloys. The effective magnetic moment
meff estimated from the Curie-Weiss law was 9.61 mB, which is
slightly below the recently reported by Cwik
et al. of 9.8 mB.18 The
M(T) curve at 5 T spreads out over a wide temperature interval
across the magnetic transition region; the observed shift of its
inflexion point towards a temperature higher than TC is explained
by the interaction of the magnetic moments with the strong
applied magnetic field that tends to keep the ferromagnetic order.
Samples show a saturation magnetization MS at 2 K and 5 T of
124.0 A$m2/kg which is lower by about 7.4% than the early value
et al.
reported by Voiron25 and close to the value reported by Cwik
2
18
(~126 A$m /kg) for bulk alloys.
In order to characterize the MC response of the ribbon samples,
we measured a set of isothermal magnetization curves up to
moHmax ¼ 5 T (with a temperature step of 0.5 K between consecutive
Fig. 2. (a) Magnetization isotherms determined from 2 to 30 K up to a maximum
magnetic field of 5 T; (b) Specific heat cp and total entropy ST as a function of temperature measured in absence of magnetic field.
curves), as well as the temperature dependence of the specific heat
cp(T) at zero magnetic field; the resulting curves appear in Fig. 2(a)
and (b), respectively. M(m0H) isotherms illustrate that ribbons do
not reach the saturated state even at m0H ¼ 5 T. It is in agreement
with the observed behavior of both single-crystal and polycrystalline ErNi2.16,18 Roughly speaking, the shape and values of the
cp(T) dependence are consistent with those previously
reported13e15,17,18; the curve exhibits the typical l-type shape at the
ferromagnetic-paramagnetic phase transition. From cp(T) we
calculated the thermal dependence of the total entropy at zero field
RT
as ST ðTÞ ¼ 0 ðcp ðT 0 Þ=T 0 ÞdT 0 (also plotted in Fig. 2(b)). Fig. 3(a)
shows the DSM(T) curves for magnetic field changes m0DH of 2 and
5 T obtained from numerical integration of the Maxwell relation
RmH
(i.e., DSM ðT; m0 DHÞ ¼ m0 00 max ½vMðT; m0 H 0 Þ=vTm0 H0 dH0 ), whereas
the relevant MC parameters derived from these curves are listed in
Table 2. From ST(T) and the DSM(T) curves obtained from Maxwell
relation, we determined ST ðT; m0 DHÞ ¼ ST ðT; 0Þ þ DSM ðT; m0 DHÞ
(not shown) and estimated the DTad(T) curves for m0DH ¼ 2 and 5 T
Table 1
Lattice constant, Curie phase transition temperature and saturation magnetization at 2 K and 5 T for ErNi2 melt-spun ribbons. The data are
compared with the data reported for bulk alloys.
Alloy
ErNi2 ribbons
ErNi2 bulk alloys
a
This work.
a (nm)
TC (K)
a
0.7126(1)
0.7123,13 0.7117,18 0.71249(4),23 0.712624
a
6.8
6.7,13 6.5,14 7,16 6.5,18 6.524
2
M5T
S (A$m /kg)
124 at 2.0 Ka
134 at 4.2 K25
nchez Llamazares et al. / Journal of Rare Earths 38 (2020) 612e616
J.L. Sa
Fig. 3. DSM(T) (a) and DTad(T) (b) curves at moDH ¼ 2 and 5 T for as-solidified melt-spun
ribbons compared with the available experimental and theoretical data reported in the
literature.
615
from DTad ðT0 ; m0 DHÞ ¼ TðST ; m0 HÞ TðST ;0Þ ¼ TðST ; m0 HÞ T0 26; the
results are plotted in Fig. 3(b). In Fig. 3(a) and (b) we compared the
DSM(T) and DTad(T) curves for magnetic field changes of 2 and 5 T
with the experimental9,17,18 and theoretical9 data informed in
literature. Note that, as it was expected, the maximum for both
max
jDSM(T)j and DTad(T) curves appears at T ~ TC. DTad
reaches values
of 4.4 and 8.1 K at 2 and 5 T, respectively. For a more comprehensive
comparison, the significant parameters are listed in Table 2. It is
also worth mentioning that these values agree, within the expected
uncertainty, with those of bulk polycrystalline alloys. This situation
coincides to the previous finding for as-solidified TbNi2 ribbons,19
and contrasts with the behavior of DyNi220 and HoNi221 ribbons,
in which enhanced MC properties were obtained due to the
favorable combination of texture effects along ribbon length
(extrinsic feature) and the anisotropic behavior of magnetization
(i.e., due to the angle between the magnetic field and easy
magnetization direction). But it is consistent with the absence of
preferential grain growth in the fabricated ribbon samples. In order
to verify the isotropic nature of the ribbons, a powdered sample
was prepared from several ribbon flakes. The powder was carefully
mixed with a tiny amount of GE-7031 varnish into a cylindrical
shaped VSM powder sample holder. The sample was sonicated
during several minutes in order to disperse particles until varnish
solidification; this procedure avoids any preferential orientation of
powder particles upon the application of an external magnetic field
(i.e., preserving their spatial random orientation). The MC properties of this sample, that has been referred to as “pulverized ribbons”, derived from the DSM(T) curves at 2 and 5 T are listed in
Table 2. Notice that jDSpeak
M j value for melt-spun and pulverized
ribbons for both magnetic field changes do not show a significant
difference, highlighting the isotropic behavior of the MCE in the
ErNi2 melt-spun ribbons.
We have also determined the refrigerant capacity (RC), a figure
of merit typically used to compare the amount of heat that can be
removed from the load and to the environment by the working
substance during an ideal refrigeration cycle. The RC is commonly
estimated through three methods (hereafter referred to as RC-1,
RC-2 and RC-3): RC-1 ¼ jDSpeak
Tcold), RCM j (Thot
RT
2 ¼ Thot
D
S
ðTÞjdT
(T
and
T
are
the
temperatures
that define
j
hot
cold
M
cold
the temperature interval dTFWHM of the full width at half-maximum
Table 2
max
DTad
, jDSpeak
M j, refrigerant capacity determined following different criteria (i.e., RC-1, RC-2 and RC-3, see text for definition), and DSM(T) full-width at half-maximum temperature parameters (at m0DH ¼ 2 and 5 T) for as-solidified ErNi2 melt-spun ribbons compared with the obtained for pulverized ribbons, and calculated,9 and experimental data
reported for bulk polycrystalline alloys.9,17,18
Method
Magnetization measurements
Samples state
Melt-spun
ribbons
m0DH (T)
DTmax
ad (K)
jDSpeak
M j (J/(kg$K))
2
4.4c
14.1
146
113
10.5
14.7
4.3
74
10
14.5
4.4
RC-1 (J/kg)
RC-2 (J/kg)
dTFWHM (K)
Thot (K)
Tcold (K)
RC-3 (J/kg)
dTRC-3 (K)
b
TRC-3
hot (K)
b
TRC-3
cold (K)
a
b
c
d
e
f
Specific heat measurements
Bulk18,a
Pulverized
ribbons
5
8.1c
20.0
382
299
19.1
23.5
4.4
191
18
22.5
4.5
2
e
12.4
118
91
9.5
13.9
4.4
59
10
14.3
4.3
5
e
20.2
347
274
17
21.5
4.4
177
16
20.4
4.7
2
e
15.1
88
63
5.8
10.5
4.7
47
8.4
13
4.4
5
e
24.3
314
229
12.9
17.5
4.6
157
13
17.4
4.6
Bulk17,a,d
Bulk18,a,e
2
e
e
e
e
e
e
e
e
e
e
e
2
3.8
13.4
123
94
9.2
13.5
4.3
62
10.5
14.5
4.0
4.86
8.8
24.1
375
291
15.5
20.0
4.5
188
15
19.5
4.6
Estimated values from the reported curves.
Related to RC-3.
Determined combining specific heat and entropy change curves determined from magnetization measurements.
Annealed at 1173 K during 2 days in vacuum.
Annealed at 1100 K during 1 month in vacuum.
This work does not describe synthesis conditions.
Theoretical
calculation9,a
Bulk9,a,f
5
e
e
e
e
e
e
e
e
e
e
e
2
4.0
13.5
120
91
8.9
13.6
4.7
61
10.2
14.6
4.4
5
7.9
20.3
330
257
16.2
20.9
4.7
165
16.1
20.8
4.7
2
7.7
18.2
160
118
8.8
12.2
3.4
80
9.5
12.6
3.1
5
12.9
27.2
373
273
13.7
16.8
3.1
195
19.8
22.4
2.6
616
nchez Llamazares et al. / Journal of Rare Earths 38 (2020) 612e616
J.L. Sa
of the jDSM ðTÞj curve: dTFWHM ¼ Thot
Tcold), and RC-3 as the
maximum rectangular area that can be inscribed below the jDSM(T)j
curve.26e29 Relevant data of the ErNi2 ribbons for 2 and 5 T have
been gathered in Table 2; note that the as-quenched and pulverized
ribbons display comparable RC's for moDH ¼ 5 T as a result of their
similar DSM(T) curves. When comparing them to the estimated
parameters from the reported DSM(T) in the literature (see Table 2),
one can observe certain dispersion of values; nevertheless, those
obtained from the ribbons are slightly larger mainly due to their
extended span temperatures.
4. Conclusions
To conclude, we have evidenced that through the melt-spinning
technique we were able to produce monophasic melt-spun ribbons
of the ErNi2 Laves phase with similar structural, magnetic and
magnetocaloric properties than the data reported for bulk polycrystalline alloys that were fabricated using the conventional arcmelting technique followed by long-term high-temperature thermal annealing. The absence of texture explains the isotropic magnetocaloric response of the fabricated ribbon samples along the
longitudinal direction; however, the slight extension of the working temperature span in comparison to the data reported for bulk
alloys leads to a moderate, but perceptible improvement of their
refrigerant capacity.
Acknowledgments
The support received from the following organizations is
gratefully acknowledged: (a) Laboratorio Nacional de Nanociencias
y Nanotecnología (LINAN, IPICYT), (b) Consejo Potosino de Ciencia y
Tecnología (COPOCYT), and (c) Banco Santander Central Hispano
and University of Oviedo. Authors are also indebted to M.Sc. B.A.
~ a Maldonado and Dr. G.J. LabradaRivera-Escoto, M.Sc. A.I. Pen
n thanks
Delgado for the technical support given. P.J. Ibarra Gayta
to CONACYT for supporting his doctoral and postdoctoral studies at
nchez-Valde
s is grateful to
IPICYT and UPJS, respectively. C.F. Sa
DMCU-UACJ for supporting his research stays at IPICyT (program
PFCE and academic mobility grant); also, for the financial support
received from SEP-CONACYT, Mexico. P. Alvarez-Alonso
acknowledges the support received from MINECO, and Principado de
Asturias, Spain.
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