1. IntroductionIn recent decades, magnetic cooling refrigerators based on the magnetocaloric effect (MCE) have received considerable attention. Compared with the traditional gas compression for refrigeration, magnetic cooling offers advantages in terms of low cost, safety, size, low mechanical vibration, high cooling efficiency, and environmental friendliness.[1–4] The application of magnetic refrigeration is strongly dependent on the MCE of materials. The large MCE observed in coupled materials has led to the widespread investigation of compounds that exhibit a magnetic first-order transition, e.g., LaFe
Si
x
,[5] MnFeP
As
,[6] Gd5Si
Ge
x
,[7] and especially Ni-Mn-based ferromagnetic shape memory alloys.[8,9]
Recent experimental and theoretical work demonstrates that the MCE in Ni-Mn-based magnetic shape memory alloys is related to the thermal and magnetic-field-induced magnetostructural transformation (MT), which can be tuned by changing the valence electron concentration (
. The MT and coupled MCE have been widely investigated in Ni-rich Ni-Mn-based Heusler alloys, such as Ni50Mn37Sn13,[10] Ni43Co7Mn39Sn11,[11] Ni50Mn
Sb
B
x
,[12] Ni44Co
Mn
In
,[13] Ni
Cu
x
Mn31Ga19,[14] and Ni
Co
x
Mn
Al
.[15] The MT and MCE are also observed in high-Mn-content Mn2NiX (
, Sn, and Ga) inverse Heusler alloys.[16–18] It is known that Mn50Ni40In10 alloy undergoes an MT from ferromagnetic austenite to weak magnetic martensite during cooling, and Co-doping leads to an increase in the magnetization difference (
between the two phases.[17,18]
A similar transition is observed in Mn50Ni40Sn10 alloy. The MT in Mn50Ni40Sn10 alloy is very sensitive to the p-d hybridization, which can be influenced by atomic substitution, resulting in a tunable MCE.[19,20] Attempts have been made to tune the MT through the partial substitution of Ni by Cu or Co in Mn50Ni40Sn10 alloys.[21,22] However, the influence of sp-elements like antimony (Sb) on the MT and magnetic properties of Mn-rich Mn2NiSn inverse Heusler alloys has not yet been reported. In the current work, Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys are prepared by arc-melting. The effects of Sb-substitution on the structure, magnetic phase transition, and MCE around the MT are investigated and discussed in detail. Our results reveal that the MCE and transition temperature of Mn50Ni40Sn
Sb
x
alloys are strongly dependent on the Sb concentration, and demonstrates that Sb-doped Mn2NiSn alloys are competent candidates for refrigeration applications.
3. Results and discussionThe RT XRD patterns of the Mn-rich Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys are shown in Fig. 1. The presence of (220), (400), and (422) peaks indicates that the Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys exhibit a Heusler-type B2 structure with the space group
at RT. Using the XRD data, the lattice parameter a and unit cell volume were calculated (listed in Table 1). Because the atomic size of Sb (
Å) is smaller than that of Sn (
Å), both a and unit cell volume decrease with increasing Sb content.
The thermal-induced structural transformations in the Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys were investigated by DSC in heating and cooling cycles. As shown in Fig. 2, large endothermic and exothermic peaks are observed, corresponding to the occurrence of the first-order structural transformation between martensite and austenite. As x increases from 1 to 4, the endothermic and exothermic peaks in the heating and cooling processes increase by 37 K and 38 K, respectively. It has been reported that the structural transformation temperature in Ni–Mn-based magnetic shape memory alloys is strongly related to e/a. The calculated e/a for the Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys are given in Table 2. Here, the 3d and 4s electrons are considered as valence electrons in transition metals, and the 5s and 5p electrons are considered to be valence electrons in main-group elements. Because Sn has fewer 5p electrons than Sb, e/a increases with the Sb content. With the increase in e/a, the structural transformation shifts to higher temperatures. A similar relation between the structural transformation temperature and e/a has been observed in other Ni–Mn-based magnetic shape memory alloys.[22–25] Additionally, previous reports on Ge-doped NiMnSn and Ga-doped NiMnIn alloys indicate that the structural transformation temperature increases as the unit cell volume decreases.[26,27] In the present study, the Sb substitution causes the lattice to shrink, which may enhance the hybridization between Ni and Mn/Sn, leading to an increase in the structural transformation temperature.[28]
Figure 3 shows the temperature dependence of magnetization (
for the samples under an applied magnetic field of 0.01 T in the heating and cooling processes. In the heating process, the Mn50Ni40Sn9Sb1 alloy experiences the magnetic order–disorder transition of martensite at approximately 170 K, followed by a sharp MT to ferromagnetic austenite at around 198 K. With further heating to 313 K, the magnetization in this sample gradually decreases to zero, corresponding to the Curie temperature of austenite. An obvious irreversibility between the heating and cooling curves is observed during the MT, indicating the first-order nature of this transition. The characteristic temperatures of the MT, austenitic start temperature
, austenitic finish temperature
, martensitic start temperature
, and martensitic finish temperature
, are listed in Table 2. As compared in Table 2 and Fig. 3, the MT shifts to higher temperatures asxincreases, which agrees with the DSC measurements. As the transformation temperature is tuned to be close to the Curie temperature of austenite, the magnetization of austenite decreases remarkably with Sb substitution, leading to low values of
.
To study the magnetic properties around MT in more detail, the isothermal magnetization (M–B) was measured by the so-called loop method.[29] Before applying the magnetic field, the samples were cooled to full martensitic state, then slowly heated to the measurement temperature with a ramp rate of 3 K/min. As shown in Fig. 4, the metamagnetic behavior can be observed when the temperature is close to
, which corresponds to the magnetic field-induced MT from martensite to austenite. The existence of magnetic hysteresis indicates the first-order nature of the transition. The observed magnetic field-induced MT is related to
between martensite and austenite.[30] For x = 1, 2, 3, and 4, the values of
under 5 T are 42 A·m2/kg, 40 A·m2/kg, 26 A·m2/kg, and 28 A·m2/kg, respectively. The decrease of
leads to the reduced magnetic field driving capacity in Mn50Ni40Sn6Sb4 alloy.
According to the M–B curves, the isothermal magnetic entropy change (
as a function of temperature was estimated under different magnetic field variations for Mn50Ni40Sn
Sb
x
(x = 1, 2, 3, and 4) alloys using Maxwell's equation:[31]
| (1) |
As shown in Fig.
5, the maximum values of
under a magnetic field variation of 0–5 T are 19.16 J·kg
K
, 17.29 J·kg
K
, 12.63 J·kg
K
, and 8.65 J·kg
K
for
x = 1, 2, 3, and 4, respectively. As the magnetic field variation decreases to 0–2 T, the corresponding values reduce to 9.17 J·kg
K
, 6.67 J·kg
K
, 4.63 J·kg
K
, and 2.88 J·kg
K
, respectively. The values of
decrease with the increase in Sb content. The maximum values of
in Fig.
5 are comparable to those in Mn
50Ni
Co
x
Sn
10 and Ni
Co
x
Mn
32Al
18 ferromagnetic shape memory alloys.
[32,33] As well as
, the effective refrigeration capacity (RC
) is an important parameter for evaluating the magnetic cooling capacity of MCE materials. The RC
of Mn
50Ni
40Sn
Sb
x
(
x = 1, 2, 3, and 4) alloys was determined by subtracting the average hysteresis loss (HL) from the refrigeration capacity (RC). Here, the values of RC were obtained by integrating the area under the
curves as a function of temperature within the full width at half maximum, and the average HL was calculated from the area surrounded by the
M–
B curves in Fig.
4. For Mn
50Ni
40Sn
Sb
x
(
x = 1, 2, 3, and 4) alloys, the RC values are found to be 131.9 J·kg
, 123.9 J·kg
, 72.1 J·kg
, and 71.9 J·kg
and the average HL values are 88.2 J·kg
, 84.8 J·kg
, 35.3 J·kg
, and 17.5 J·kg
, respectively. Therefore, the corresponding RC
is 43.8, 39.1 J·kg
, 36.8 J·kg
, and 54.5 J·kg
under a magnetic field variation of 0–5 T. Furthermore, as the MT of Mn-rich Mn
50Ni
40Sn
Sb
x
alloys is highly dependent on the Sb content, the MCE can be tuned over a wide temperature range, which is a valuable property for magnetic refrigerants.