1 Introduction

Nowadays, a great attention has been paid to perovskite-type manganese oxides (the so-called manganites) with general formula RE1−xAExMnO3 (RE = rare-earth element and AE = alkaline-earth element) owing to their intriguing magnetic properties [1] and large magnetocaloric effect (MCE) [2,3,4]. The interest of these materials is related to their possible applications in magnetic refrigeration (MR) which is considered to be more energy efficient and environmental friendly compared to traditional gas-compression refrigeration [5,6,7]. MCE, the base of MR technology, refers to the isothermal magnetic entropy change (accompanied by adiabatic temperature variation) of a magnetic material induced by the application of an external magnetic field. This effect is maximized when the material is near its magnetic ordering temperature (Curie temperature, TC in the case of ferromagnetic materials) [8, 9]. The research of new materials which exhibit large MCE at low applied fields close to room temperature becomes the main challenge today in order to achieve active magnetic refrigerants working at room temperature. Manganite oxides have been suggested as good candidates for applications in MR technology, since they present some advantageous properties like their extraordinary chemical stability, low cost, easy preparation and high resistivity. Moreover, high magnetic entropy change at low magnetic field changes, wide working temperature ranges and the ability to tailor the magnetic transition temperatures in the vicinity of room temperature by substitution routes indicate that these systems have potentials for MR at various temperatures including room temperature. Phan and Yu [10] have provided an overview of MCEs in manganites oxides and they have explained that their large magnetic entropy could be originated from the strength of double exchange interaction of Mn3+–O–Mn4+ and the strong spin–lattice coupling.

The barium-doped lanthanum manganites (La1−xBaxMnO3, LBMO) are typical materials that have been less studied compared to the La1−xSrxMnO3 (LSMO) and La1−xCaxMnO3 (LCMO) compounds. Meanwhile, LBMO systems are of great interest due to their fascinating magnetic properties and considerable MCE [11,12,13,14,15]. Indeed, LaBa-based manganite is one of the interesting exceptions which do not show any signature of antiferromagnetic and charge orders, in contrast to the LaSr- and LaCa- based manganites [12]. In the case of x = 0.33, this compound undergoes a ferromagnetic (FM)-paramagnetic (PM) transition at TC = 350 K and it shows a magnetic entropy change of 1.72 J/kg K under µ0H = 2T around its magnetic ordering temperature, as reported by Xu et al. [16]. However, the TC of La0.67Ba0.33MnO3 is quite far from room temperature, limiting its applicability in domestic cooling devices. Fortunately, one can easily tune the transition temperature TC of perovskite manganites towards room temperature by either La-site or Mn-site doping. During recent years, numerous studies have been made on the effects of the replacement of Mn by foreign elements [17,18,19,20,21]. It has been shown that the introduction of other transition metal elements (Fe, Cr, Ti, etc…) in manganites system always affects the magnetic properties, particularly the decreasing of TC which depends on the nature of doping element. Among these doping elements, nickel (Ni) is of particular interest due to its effects of the Mn-site substitution on the magnetic and magnetocaloric properties [22,23,24]. It has been observed that Ni doping at Mn site alters the curial Mn3+–O–Mn4+ network. In turn, it affects the strength of double-exchange interaction between Mn3+ and Mn4+ via oxygen and hence causes an additional change in the magnetic properties as well as MCE in doped manganites. In the vast literature on manganites, it is worth noting that there is no published report concerning the effect of Ni content on the magnetocaloric properties of LBMO systems.

In this context, the main objective of our work is to tune the MCE of La0.67Ba0.33MnO3 to near room temperature with Ni substitution. Hence, the present study deals the effect of Ni-doping on the structural, magnetic and magnetocaloric properties of La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds synthesized by sol–gel method.

2 Experimental details

Polycrystalline samples La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) were prepared by the sol–gel method from La2O3, BaCO3, MnO2 and Ni2O3 (99.9% purity) precursors in the appropriate stoichiometric proportions. The precursors were dissolved in nitric acid with continues stirring at 60 °C. Suitable amounts of citric acid and ethylene glycol were added until a completely homogeneous and transparent solution was achieved. The solution was then evaporated at 130 °C, resulting in the formation of a gel. The later was dried at 300 °C and calcined at 600 °C with intermediate grinding to get fine powders. The samples were then pressed into pellets (of about 1 mm thickness under an axial pressure of 4 tons for 2 min) and sintered at 1000 °C for 24 h, crushed, pressed another time and finally heated up to 1100 °C in air for 24 h.

The structure, phase purity and homogeneity were determined by X-ray powder diffraction (XRD) at room temperature using a ‘‘Panalytical X’Pert Pro’’ diffractometer with CuKα radiation (λ = 1.54059 Å) between 10° and 80° with a step size of 0.02° in 2θ mode. The diffraction data were performed by the Rietveld [25] method using the FULLPROF program [26]. Magnetization measurements versus temperature in the range 50–400 K and versus magnetic applied field up to 5 T were recorded by a vibrating sample magnetometer (VSM) J3590 mini CFM of Cryogenics. MCE results were estimated from the magnetization measurements versus magnetic applied field up to 5 T at several temperatures.

3 Results and discussion

3.1 Structural properties

Figure 1 shows the room temperature X-ray diffraction (XRD) patterns with the fitted curves of the synthesized La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) samples. As shown in this figure, XRD patterns prove that all our samples are single phase and can be indexed in the rhombohedral system (Hexagonal setting) with \({\text{R}}\bar {3}{\text{c}}\) space group. Thus, by substitution no apparent structural changes can be identified. Rietveld refinement yields a good fit between the observed and the calculated profiles. The refined structural parameters as well as the goodness of the fit factor (χ2) are grouped in Table 1. We can see in this table that the unit cell volume decreases with the replacement of partial Mn ions by Ni ions, which confirm the incorporation of Ni in the Mn site. This observation of structural behavior agrees well with those reported in the literature for Ni-doped manganites [22, 27]. This decrease may be due to a smaller ionic radius of Ni3+ (0.56 Å) in comparison with that of Mn3+ (0.645 Å) [28].

Fig. 1
figure 1

X-ray diffraction patterns and the corresponding Rietveld refinement for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds at room temperature

Table 1 Refined structural parameters of La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds and crystallite size estimated from the Scherrer method

The average crystallite size (DSC) was calculated using Scherrer relation as follows [29]:

$${{\text{D}}_{{\text{SC}}}}=\frac{{{\text{K}}\uplambda }}{{\upbeta \cos \uptheta }},$$
(1)

where K = 0.9 is the shape factor, \(\uplambda\) is the X-ray wavelength, \(\uptheta\) is the diffraction angle and \(\upbeta\) is the full width at half maximum (FWHM) of the most intense peak. The values of the average crystallite size are given in Table 1.

3.2 Magnetic properties

The magnetization as a function of temperature M (T) curves measured in the field-cooled (FC) mode under an applied magnetic field of 0.05 T for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) samples are depicted in Fig. 2. Our synthesized samples exhibit a paramagnetic (PM) to ferromagnetic (FM) transition with decreasing temperature. The magnetic transition temperature TC, determined from the minimum of the dM/dT curve, shifts to lower temperature with Ni substitution. The obtained Curie temperature values are found to be 336, 328 and 302 K for x = 0, 0.025 and 0.075, respectively. The trend of reduction in TC is consistent with the results reported in [22,23,24] for Ni-doped manganites. The substitution of Ni ions into the Mn site disturbs the Mn3+–O–Mn4+ chains, which leads to a change in the Mn3+/Mn4+ ratio [30]. As a consequence of this variation, the double exchange (DE) interaction, which is the origin of the ferromagnetism in the manganites is weakened [31], and therefore the TC will decrease. Also, the partial substitution of Mn3+ by Ni3+ ions generates new antiferromagnetic (AFM) bonds between Ni and Mn ions, which are non-DE interactions and therefore promote AFM coupling. The promotion of AFM coupling then weakens the DE and lowers the TC. Moreover, the decrease in TC is mainly explained by the decrease of 〈θMn/Ni−O−Mn/Ni〉 bond angle and the increase of 〈dMn/Ni−O〉 bond length as the Ni content increases (Table 1). Both effects lead to the decrease of the bandwidth W and the mobility of eg electrons. For ABO3-type perovskites, the bandwidth W can be expressed empirically by [32]:

Fig. 2
figure 2

Variation of the magnetization versus temperature M (T) and the dM/dT curves as a function of temperature measured at µ0H = 0.05 T

$${\text{W}} \approx \frac{{\cos \left[ {1/2\left( {\uppi - \langle {\uptheta _{{\text{Mn}}/{\text{Ni}}-{\text{O}}-{\text{Mn}}/{\text{Ni}}}}\rangle } \right)} \right]}}{{{{({{\text{d}}_{{\text{Mn}}/{\text{Ni}}-{\text{O}}}})}^{3.5}}}}.$$
(2)

The calculated values of W are 0.0917, 0.0915 and 0.0914 for x = 0, 0.025 and 0.075, respectively. The observed decrease, induced by the Ni doping, reduces the overlap between the 3d orbital of the Mn ions at B-site and the 2p orbital of the O anion, which in turn weakens the DE coupling of Mn3+–O–Mn4+, and hence reduces the FM coupling between neighboring manganese, resulting in a reduction of TC as well. Similar behaviors were previously reported in La0.67Ba0.33Mn1−xCrxO3 [33] and La0.7Sr0.3Mn0.9M0.1O3 (M = Cr, Sn and Ti) [21]. Interestingly, our TC values span the room temperature range, which is beneficial for magnetic refrigeration at room temperature.

In order to confirm the ferromagnetic behavior at low temperatures of our samples we measure the isothermal magnetization versus magnetic applied field µ0H up to 5 T at several temperatures, which is plotted in Fig. 3. For all the studied samples, the magnetization below TC increases quickly at low magnetic fields and tend to saturation above 1 T, corresponding to ferromagnetic state.

Fig. 3
figure 3

Isothermal magnetization curves for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds

The Arrott plots M2 versus µ0H are used to clarify the nature of the FM–PM phase transition based on the measured data of the M (µ0H) isotherms [34]. The order of the magnetic transition can be determined from the slope of Arrott plot according to the criterion proposed by Banerjee [35], i.e., a negative slope corresponds to first order magnetic transition while a positive slope corresponds to second order one. The Arrott plots reported in Fig. 4 gives a positive slope for all the temperatures. This implies that our samples undergo a second-order magnetic phase transition.

Fig. 4
figure 4

Arrott plots (M2 as a function of µ0H/M) for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds

3.3 Magnetocaloric properties

In order to study the MCE in the investigated materials, the changes of magnetic entropy upon application of magnetic fields can be calculated using the thermodynamic Maxwell’s relation given by the following equation [10, 36]:

$$\Delta {{\text{S}}_{\text{M}}}\left( {{\text{T}},{\upmu _0}{\text{H}}} \right)={{\text{S}}_{\text{M}}}\left( {{\text{T}},{\upmu _0}{\text{H}}} \right) - {{\text{S}}_{\text{M}}}\left( {{\text{T}},0} \right)=\mathop \int \limits_{0}^{{{\upmu _0}{\text{H}}}} {\left( {\frac{{\partial {\text{M}}\left( {{\text{T}},{\upmu _0}{\text{H}}} \right)}}{{\partial {\text{T}}}}} \right)_{{\upmu _0}{\text{H}}}}{\upmu _0}{\text{dH}}~.$$
(3)

For magnetization measurements performed at discrete fields and temperature intervals, the magnetic entropy change defined in Eq. (3) can be approximated as [10, 36]:

$$\Delta {{\text{S}}_{\text{M}}}({\text{T}},{\upmu _0}{\text{H}})=\mathop \sum \limits_{i} \frac{{{{\text{M}}_{{\text{i}}+1}}\left( {{{\text{T}}_{{\text{i}}+1}},{\upmu _0}{\text{H}}} \right)- {{\text{M}}_{\text{i}}}\left( {{{\text{T}}_{\text{i}}},{\upmu _0}{\text{H}}} \right)}}{{{{\text{T}}_{{\text{i}}+1}} - {{\text{T}}_{\text{i}}}}}{\upmu _0}\Delta {\text{H}},$$
(4)

where Mi and Mi+1 are the experimental values of magnetization measured at temperatures Ti and Ti+1, respectively, under an applied magnetic field µ0H.

From the isothermal magnetization measurements, one can calculate the magnetic entropy change associated with magnetic field variation using Eq. (4). The correspondingly calculated − ΔSM(T, ΔH) curves are plotted in Fig. 5. This figure shows an increase in − ΔSM with increasing µ0H from 1 to 5 T for each composition. The − ΔSM is found to be positive in the entire temperature range for all magnetic fields, which confirms the ferromagnetic character. It is obviously that the magnetic entropy change originates from the considerable change of magnetization in the vicinity of TC. As expected, ΔSM alternates with temperature and exhibits a peak at a temperature near its PM–FM transition temperature at all applied fields. Furthermore, the maximum of magnetic entropy changes, \(- ~\Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}\), shifts towards lower temperatures when the Ni content increases, following the same trend of TC (Fig. 2) that is tuned towards room temperature by the substitution. The downward shift of \(- ~\Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}\) with Ni doping provides the opportunity to fabricate compounds useful for magnetic refrigeration around room temperature. For µ0H = 5 T, \(- ~\Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}\) is found to be 2.12, 2.78 and 1.78 J/kg K, for x = 0, 0.025 and 0.075 samples, respectively.

Fig. 5
figure 5

Temperature dependence of the magnetic entropy change at several magnetic fields for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) samples

The evaluation of the cooling efficiency of a magnetocaloric material passes through the so-called relative cooling power (RCP) [10, 37] corresponding to the amount of heat transferred between the cold and the hot skins in the ideal refrigeration cycle. RCP depends on both the maximum value of the magnetic entropy change \(\left( { - ~\Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}} \right)\) and the full-width at half-maximum δTFWHM of the magnetic entropy change curve. It is given by:

$${\text{RCP}}=~ - \Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}({\text{T}},{\upmu _0}{\text{H}}) \times \updelta {{\text{T}}_{{\text{FWHM}}}}$$
(5)

The different values of RCP of our samples under a magnetic field varying from 1 to 5 T at TC are shown in Fig. 6. It is clearly observed that RCP values increase linearly with increasing the applied magnetic field, which is due to the effect of spin coupling that is less important when the applied magnetic field is higher. A comparison between the RCP values corresponding to a magnetic field of 5 T for our studied systems and other magnetocaloric materials is also presented in Table 2. As can be seen from this table, our RCP values are larger than those obtained for other perovskite manganites around room temperature [22, 38,39,40,41,42,43]. Moreover, our RCP values for x = 0, 0.025 and 0.075 compounds are respectively about 60%, 54% and 66% of that of the prototype magnetic refrigerant material Gd [7] for the same field change. Among the samples, the x = 0.075 composition shows the highest RCP of 271 J/kg under 5 T around room temperature. In magnetic refrigeration technology, a promising material for magnetic refrigeration application should have higher RCP and the value of TC should be close to room temperature. Therefore we can deduce that La0.67Ba0.33Mn0.925Ni0.075O3 material possesses appropriate properties for a good candidate as magnetic cooling at ambient temperature.

Fig. 6
figure 6

The magnetic field dependence of RCP for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) samples

Table 2 Experimental values of TC, magnetic entropy change \(- \Delta {\text{S}}_{{\text{M}}}^{{\hbox{max} }}\) and relative cooling power (RCP) for La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) compounds in comparison with those of several magnetocaloric materials taken from the literature

4 Conclusion

La0.67Ba0.33Mn1−xNixO3 (x = 0, 0.025 and 0.075) manganites were synthesized via the sol–gel method and their structural, magnetic, and magnetocaloric properties were investigated. All our samples crystallize in the rhombohedral structure with the \({\text{R}}\bar {3}{\text{c}}\) space group. Magnetic measurements show that all compounds present a second order PM-FM phase transition with a decrease in Curie temperature TC, probably due to the decrease of the ferromagnetic double exchange (DE) interactions. For La0.67Ba0.33Mn0.925Ni0.075O3 composition, the maximum value of the magnetic entropy change is found to be 1.78 J/kg K and the relative cooling power is about 271 J/kg under 5 T at 302 K. The achieved results suggest that the La0.67Ba0.33Mn0.925Ni0.075O3 can thus be used as an active magnetic refrigerator working at room temperature.