Structural and Magnetic Properties of Yb 0.5 Ce 0.5 Ni 5

: The rare-earth magnetism in the intermetallic compound Yb 0.5 Ce 0.5 Ni 5 was studied using X-ray diffraction, magnetization, heat capacity, and electrical resistivity measurements. The effect of spin ﬂuctuations (SF) was observed in M ( T ) at ~40 K. The measurement of thermal and transport properties supported the results obtained from magnetic measurements. Collected experimental data showed that Yb/Ce substitution shifts the maximum temperature for spin ﬂuctuations to a lower temperature compared to that for pure CeNi 5 . Moreover, at low temperatures, an anomaly in the heat capacity of possible magnetic origin arising from Yb 3+ was detected. Ce atoms seemed to remain in a non-magnetic valence state at almost 4+.


Introduction
The systematic investigation of rare-earth intermetallic compounds has brought new knowledge to the field of condensed matter [1][2][3][4]. A strong correlation between electrons, due to the hybridization of f -electrons and conduction electrons, can cause a number of outstanding low-temperature features. Among the rare-earth elements, a large variety of these phenomena have been found for Yb-and Ce-based intermetallics. One of the most fascinating issues in the study of these compounds is the quantum phase transitions that take place in heavy fermions. In this case, this kind of transition results from the competition between the Kondo effect, which acts to screen the Ce (or Yb) magnetic moments, and long-range RKKY interactions, which favor an ordered magnetic state [5][6][7][8]. Compared to heavy fermions, far fewer studies have been dedicated to the transition between enhanced paramagnetic behavior, on the verge of itinerant magnetism, and ferromagnetic order. This is the case for CeNi 5 and YbNi 5 compounds. Both compounds crystallize in a hexagonal CaCu 5 form, and therefore they are prone to form a continuous solid solution (Ce,Yb)Ni 5 .
CeNi 5 is a Stoner-enhanced paramagnet with a spin fluctuation contribution [9], whereas YbNi 5 orders ferromagnetically at 0.55 K, with magnetic properties dominated by Yb 3+ ions and a negligible contribution from the Ni atoms [10]. It is worth noting that the magnetic susceptibility of CeNi 5 does not follow the Curie-Weiss law, showing a broad maximum around 100 K. This maximum originates from spin fluctuations due to hybridization, which are characteristic of systems close to the onset of magnetism. In fact, in a detailed investigation of polarized-neutron scattering, it was found that magnetization was localized exclusively on the Ni atoms, whereas Ce was found to be non-magnetic, almost in the 4+ valence state [11,12].
The effect of alloying on the ground state of CeNi 5 has been investigated in both Ce and Ni sites. Regarding the Ce site, the substitution of Ce for Pr or Nd suppresses the contribution of spin fluctuation to the electrical resistivity [13].
In this work, we focus on the Yb/Ce substitution in the Ce site, which drives the competition between spin fluctuations and magnetically ordered states. In particular, this paper presents the results of an experimental investigation on the structural and physical properties of the Yb 0.5 Ce 0.5 Ni 5 compound, which is located midway between a compound on the verge of itinerant magnetism (CeNi 5 ) and a compound where magnetism is dominated by 4f electrons (YbNi 5 ).

Experimental Details
The polycrystalline sample was prepared using the induction melting technique. Stoichiometric amounts of the elements with the purities Yb, 99.99 wt.%; Ce, 99.99 wt.%; and Ni, 99.999 wt.% were enclosed in small tantalum crucibles and sealed by arc welding under pure argon. The samples were melted in an induction furnace (homemade) under a stream of pure argon. To ensure homogeneity during the melting process, the crucible was continuously shaken. After that, the sample was annealed at 700 • C for ten days in a quartz ampule sealed in a vacuum and quenched at room temperature in cold water.
The crystal structure was studied using an X-ray Bruker D8 Advance diffractometer (Bruker Corporation, Billerica, MA, USA) located at Department of Earth Sciences and Condensed Matter Physics at University of Cantabria equipped with a Lynxeye multidetector (Bruker Corporation, Billerica, MA, USA) which uses a solid-state array, and the data were recorded between 20 • and 100 • with a 2θ increment of 0.02 • at high resolution with the wavelength of 0.15418 nm, corresponding to Cu Kα radiation. The surface analysis was performed with the scanning electron microscope EVO MA 15. (Carl Zeiss, Oberkochen, Germany) The electron acceleration voltage reached 30 kV, and the magnification varied between ×7 and ×106. The system was equipped with an X-ray energy dispersive spectroscopy system (EDX).
Magnetic measurements were performed using a Magnetic Property Measurement System (MPMS) commercial device (Quantum Design, San Diego, CA, USA), SQUID, in the temperature range 2-300 K with an applied magnetic field of up to 5 T. Heat capacity, electrical resistivity, and magnetoresistivity were measured with DynaCool (Quantum Design, San Diego, CA, USA)) and the Helium-3 refrigerator PPMS (Quantum Design, San Diego, CA, USA) in the temperature range 400 mK-300 K with an applied magnetic field of up to 9 T. Figure 1a shows the experimental X-ray powder diffraction pattern and the Rietveld refinement performed for Yb 0.5 Ce 0.5 Ni 5 compound with the FULLPROF suite package (version September 2020, open source software) [14] under the WinPlotr shell (version April 2019, open source software) [15]. The Bragg diffraction reflections were correctly identified and indexed based on the hexagonal CaCu 5 crystal structure (space group P6/mmm), while the lattice parameters obtained were a = b = 0.4869 nm and c = 0.3985 nm. These parameters were located between those of CeNi 5 and YbNi 5 . Only a couple of very weak extra peaks in the low theta range were observed. The reliability factors obtained from the Rietveld refinement were R f = 13.05%, R B = 15.13%, and Chi 2 = 2.48. In Table 1, the atomic coordinates are displayed.

Atom
Site The morphological analysis of the studied sample is presented in Figure 1b. From more than 10 EDX spectra (not shown) collected from the sample surface, it was determined that, within the experimental error (0.1 at. %), the small discrepancies between the synthesis compositions and the measured compositions may be due to the presence of traces of some spurious phases, as evidenced by the very weak extra peaks present in the XRD at low angles.
The temperature dependence of the magnetization in the applied magnetic fields (B = 0.1 T and B = 0.01 T) is displayed in Figure 2a. The broad maximum connected with spin fluctuations is visible at around T = 40 K. At lower temperatures, an upturn of magnetization occurs, which, in the case of CeNi5, was interpreted in different ways. Some authors believe that it is associated with the intrinsic properties of the material, which is on the verge of ferromagnetism [16,17]. On the other hand, it is known that even small concentrations (in the order of tens of ppm) of magnetic impurities can cause such an upturn. Earlier investigations of CeNi5 material do not show low-temperature upturns in magnetic susceptibility measurements [18][19][20][21], indicating that this effect does not arise from intrinsic properties but from ferromagnetic impurities. Instead, the broad maximum at 100 K in the magnetic susceptibility for pure CeNi5 is an intrinsic property mediated by spin fluctuations. The shifting of this maximum to lower temperatures observed in magnetization in Yb0.5Ce0.5Ni5 may be related to the competition of magnetic order and spin fluctuation which is present in this sample, which was prepared midway between CeNi5 and ferromagnetic YbNi5 [10]. By applying increasing magnetic fields, the temperature where the maximum occurs was not shifted, but its intensity decreased. From the Curie-  The morphological analysis of the studied sample is presented in Figure 1b. From more than 10 EDX spectra (not shown) collected from the sample surface, it was determined that, within the experimental error (0.1 at. %), the small discrepancies between the synthesis compositions and the measured compositions may be due to the presence of traces of some spurious phases, as evidenced by the very weak extra peaks present in the XRD at low angles.
The temperature dependence of the magnetization in the applied magnetic fields (B = 0.1 T and B = 0.01 T) is displayed in Figure 2a. The broad maximum connected with spin fluctuations is visible at around T = 40 K. At lower temperatures, an upturn of magnetization occurs, which, in the case of CeNi 5 , was interpreted in different ways. Some authors believe that it is associated with the intrinsic properties of the material, which is on the verge of ferromagnetism [16,17]. On the other hand, it is known that even small concentrations (in the order of tens of ppm) of magnetic impurities can cause such an upturn. Earlier investigations of CeNi 5 material do not show low-temperature upturns in magnetic susceptibility measurements [18][19][20][21], indicating that this effect does not arise from intrinsic properties but from ferromagnetic impurities. Instead, the broad maximum at 100 K in the magnetic susceptibility for pure CeNi 5 is an intrinsic property mediated by spin fluctuations. The shifting of this maximum to lower temperatures observed in magnetization in Yb 0.5 Ce 0.5 Ni 5 may be related to the competition of magnetic order and spin fluctuation which is present in this sample, which was prepared midway between CeNi 5 and ferromagnetic YbNi 5 [10]. By applying increasing magnetic fields, the temperature where the maximum occurs was not shifted, but its intensity decreased. From the Curie-Weiss law and its higher temperature fit, a paramagnetic Curie temperature θ P = −32.33 K and an effective paramagnetic moment of µ eff = 4.07 µ B /f.u were obtained ( Figure 2a in the inset at the top). The negative value of the paramagnetic Curie temperature indicates a dominating antiferromagnetic exchange interaction in a high temperature range. The value of the effective paramagnetic moment (4.07 µ B /f.u.) is slightly smaller than the free Yb 3+ ion value (4.54 µ B /f.u.). Weiss law and its higher temperature fit, a paramagnetic Curie temperature θP = −32.33 K and an effective paramagnetic moment of μeff = 4.07 μB/f.u were obtained (Figure 2a in the inset at the top). The negative value of the paramagnetic Curie temperature indicates a dominating antiferromagnetic exchange interaction in a high temperature range. The value of the effective paramagnetic moment (4.07 μB/f.u.) is slightly smaller than the free Yb 3+ ion value (4.54 μB/f.u.).  range of parameters of the two binary compounds. This fact seems to indicate a scenario where Ce and Yb valences are unchanged in the solid solution compared to the binary compounds-i.e., almost 4+ for Ce and 3+ for Yb ions. In fact, with Ce 3+ being larger than Ce 4+ , a change in Ce valence would increase the lattice parameters of Yb 0.5 Ce 0.5 Ni 5. To verify this, one should investigate this compound using spectroscopic techniques such as XPS. On the other hand, we observed a possible magnetic order at low temperatures (see the section on heat capacity), which should correspond to Yb in the magnetic 3+ state. In fact, it is well known that if the valence of Yb decreased to, e.g., 2.9, this would be sufficient for the magnetic order to vanish. Finally, the slightly lower value of the effective moment obtained with respect to the free Yb 3+ ion value may be due to the contribution of the "almost" 4+ valence state of Ce.
The isothermal magnetization is plotted in Figure 2b as a function of the applied magnetic field up to 5 T at different temperatures. The tendency towards saturation is evident, and the ordering temperature is expected to be below 2 K. The Arrott plot for Yb 0.5 Ce 0.5 Ni 5 is presented as the inset in Figure 2b. The nature of the magnetic transition can be obtained by analyzing the Arrott isotherms giving M 2 as a function of B/M. The "S" shape of the Arrott plot is typical for temperatures above the critical temperature. According to the Banerjee criterion [22], this method allows us to determine the nature of the magnetic transition depending on the slope of the M 2 vs. (B/M) plots at high magnetic fields. Indeed, a positive slope indicates a second-order magnetic transition. The Banerjee criterion shows that these curves present a positive slope at high magnetic fields, implying that this compound exhibits a second-order phase transition.
The heat capacity measurement of Yb 0.5 Ce 0.5 Ni 5 up to 300 K (not plotted) shows a typical metallic behavior and, in the high-temperature range, it follows the Dulong-Petit law 3nR~150 J/mol·K. From the C(T)/T vs. T 2 dependence (shown in Figure 3), at 6 T the magnetic order is suppressed, and it is possible to estimate the electronic Sommerfeld γ coefficient as γ 6T~2 00 mJ/mol·K 2 .   In Figure 4, the low temperature dependence of the heat capacity is shown for various values of applied magnetic fields up to 6 T. We observe at around 0.8 K a sharp anomaly in Metals 2022, 12, 230 6 of 8 the zero magnetic field. By increasing the magnetic fields, this anomaly evolves, with its intensity increasing, shifting to higher temperatures, and becoming broader, similar to the trends observed in other Yb systems [23]. The sharp anomaly at 0.8 K may be associated with a magnetic order, but this should be confirmed by magnetic measurements below 1 K.   Figure 5 shows the electrical resistivity between 0.5 K and 300 K for different magnetic fields. The measurements detect a typical metal behavior.  Figure 5 shows the electrical resistivity between 0.5 K and 300 K for different magnetic fields. The measurements detect a typical metal behavior.

Conclusions
Based on our knowledge of the compounds YbNi5 and CeNi5, we prepared a new polycrystalline sample Yb0.5Ce0.5Ni5 of the hexagonal CaCu5 type. Microstructure analysis, as well X-ray diffraction, confirmed the good quality of the prepared sample with desired stoichiometry. At high temperatures, Yb atoms exhibit a localized 4f electron nature with