{'fraction_non_alphanumeric': 0.02842696629213483, 'fraction_numerical': 0.01348314606741573, 'mean_word_length': 4.550670408481447, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 2, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Exploration of the Effect of Oxygen on Superconductivity in MgB 2 Bulk by Using Boron Powder with Different Particle and Puriﬁcation

the Effect of on Superconductivity in MgB 2 Using Abstract: In this study, boron powder with different particle sizes was puriﬁed by both chemical and heat treatment methods. The reduction in the particle size can improve the chemical puriﬁcation with no effort on the heat treatment. The superconducting properties of the powder drastically changed even with only a partial elimination of oxygen. On the one hand, less oxygen content resulted in high T c and J c values under the low magnetic ﬁeld, and most importantly, a signiﬁcant improvement in the superconducting connectivity ( A f value). On the other hand, the degradation of J c under a high ﬁeld and a change in the pinning mechanism were also found, along with decreasing oxygen. This result indicated that oxygen, probably MgO, might act as the pinning center and as an obstacle for the supercurrent in MgB 2 at the same time. This work paves the way for obtaining pure oxygen-free MgB 2 and understanding the real effect of oxygen in MgB 2 .


Introduction
MgB 2 , with a transition temperature of 39 K, was discovered in 2001 and has attracted significant attention worldwide [1] owing to its weak-link free-grain boundaries, considerable coherence length, low material cost, and superconducting properties. However, the presence of the impurity, MgO, is inevitable [2][3][4][5] in all kinds of MgB 2 materials, including bulk, wires, tapes, thin films, and single crystals.
The effect of MgO on MgB 2 , especially in terms of its superconductivity, remains unclear after nearly 20 years of research. Some groups insist that MgO is one of the main barriers of the supercurrent flow, which decreases its critical current density (J c ) [6][7][8]. Some groups believe that MgO is a kind of dopant that can increase the pinning force and J c at the high magnetic field. For example, Jiang et al. added nanosized MgO to MgB 2 and found J c to be enhanced [9].
In summary, there are no reports on obtaining pure MgB 2 without any oxygen impurity, and thus, the effect of MgO on MgB 2 remains unclear. There are two MgO sources, namely, MgO existing in Mg precursor powder and B 2 O 3 existing in B precursor powder. These powders react with Mg during synthesis. Only a few groups have tried to eliminate the oxygen in Mg powder [10,11].
Most studies on purification have focused on B powder. The first study on lowpurity B powder on MgB 2 was reported in 2006 [12,13]. Since then, few researchers have purified B powder in order to eliminate the oxygen [12,14,15]. In 2019, we reported a systematical investigation on the purification of B powder by both heat treatment and chemical methods [16]. At that time, we found the heat treatment method to be more effective than the chemical method; however, both methods had limitations. The oxygen in the B powder could not be eliminated. Based on our analysis, as shown in Figure 10 from Reference [16], when a small B particle agglomerates to a larger one, the oxygen inside the large particles cannot be purified.
In this study, we determined the effect of particle size on the purification results obtained using the heat treatment method and chemical method to test if our analysis is correct. The effect of the initial oxygen purification on the superconductivity was also investigated, which can offer more insights into the real effect of oxygen on the superconducting properties of MgB 2 .

Materials and Methods
The purification process is described in our previous report [16]. Briefly, the B powder was treated by the high temperature and chemical solution. In this paper, we only chose the 15 vol% HCl solution. To explore the effect of particle size, for the sample with grinding, the B powder was manually ground in an agate mortar for 0.5 h and then purified by the aforementioned methods. Only the best-purified B powder and Raw B powder were used to synthesize MgB 2 bulk using the same process as our previous report [16].
An oxygen and nitrogen analyzer (Mettler GPro 500, Udorf, Switzerland) was used to determine the oxygen content. The phase analysis of the samples was conducted using X-ray diffraction (XRD, Bruker D8, Karlsruhe, Germany) with Cu Kα. Lattice parameters, the grain size, and the phase proportion were calculated from the XRD results using the Rietveld method. The microstructures of the samples were observed by scanning electron microscopy (SEM, FEI Quanta FEG, Hillsboro, OR, USA) and transmission electron microscopy (TEM, Tecnai G2 20 S-TWIN FEI, Hillsboro, OR, USA). The zero-field-cooled curve was measured using a physical property measurement system (PPMS, Quantum Design, San Diego, CA, USA) under an applied magnetic field of 5 mT. The critical current densities, Jc (in Am−2), of the samples were calculated by applying a standard Bean model expression for spherical grains to magnetic hysteresis loops using the following formula: where ∆M (in Am−1) is the vertical width of the magnetization loop, and a ≥ b >> c (in m) are the dimensions of the measured bulk. Resistance vs. temperature curves (R-T curves) under different applied fields of MgB 2 bulks were recorded. In the curve, 10% and 90% of transition points are defined as the relevant irreversible field (H irr ) and upper critical field (H c2 ). Figure 1 shows the XRD results of samples prepared using B powders with different particle sizes. The B 2 O 3 peak is significantly eliminated in all purified samples, as evidenced by the dashed line, which is consistent with the result reported by Jiang et al. [11]. Table 1 shows the oxygen contents and particle sizes of different B powders. After grinding, the average particle size was decreased. As shown in Figure 2, the large chunk of B powder was separated into a smaller one, which caused more surface of the B powder to be exposed. At the same time, the morphology of the different B powders was nearly the same. It allows us to investigate the effect of the particle size of B powder on the purification results solely and test our former speculations [10].

Results
It is interesting to note that although both chemical and heat treatment methods could eliminate the oxygen content in the B powder, when the particle size was reduced, there were different results. In samples subjected to chemical purification, the oxygen content continuously decreased as the particle size was decreased. However, in samples subjected to heat treatment, the particle size did not affect the oxygen content. It implies that there is an intrinsic difference in the purification mechanism between the two methods. We will discuss this part in a later section.
The grinding+1050-purified B powder and unpurified sample were used in the synthesis to explore the effect of the purification on the superconducting properties of MgB 2 . Figure 3a shows the XRD results of MgB 2 bulk containing B powders with different particle sizes. Both samples had MgB 2 as the main phase with a small amount of MgO. The area of 61 • to 65 • is zoomed in to focus on the MgO (002) peak and MgB 2 (102) peak, as shown in Figure 3b. As seen, the MgO peak intensity is higher than the MgB 2 peak intensity in the Raw B sample but nearly the same in the purified one. These results sufficiently prove the oxygen elimination effect of the purification process.     Table 2 summarizes the calculated lattice parameters, the grain sizes, and the phase contents of MgB 2 bulk prepared using B powders with different particle sizes. The lattice parameters of both samples shown in Table 2 were nearly the same as their theoretical values (a = 3.084, c = 3.522), indicating that the purification of B powder did not affect the MgB 2 lattice structure. However, the grain size presented a noticeable difference. After purification, the MgB 2 grains had evident growth. It is thought that the change in the grain size was mainly caused by the elimination of oxygen, which will be discussed later.  Figure 4 shows the microstructures of bulk MgB 2 prepared using different B powders. Under low magnification, both samples show identical porous structures without any visible difference. Under high magnification, in the unpurified sample, the boundary of each MgB 2 particle is clear. However, the MgB 2 particle in the purified sample shows better connectivity than that in the unpurified one. To obtain more details on the microstructure, TEM was used to observe individual particles. As seen in Figure 4e, there are many small dots with a size of tens of nanometers. In contrast, the MgB 2 particle in the purified sample is very clean. Thus, the nanosized dots in Figure 4e could be MgO.  Figure 5 show the superconducting properties of the MgB 2 bulk prepared using different B powders with different purification. As shown in Figure 5a-c, the purified sample has a higher J c value under low field at all measured temperatures; however, it decreases faster than that corresponding to the unpurified one. Furthermore, such a cross point was found between the two J c curves around 3.5 T at 20 K, also proved by the pinning force results, as shown in Figure 5d-f. Consequently, purification can only improve J c under low field but degrade the pinning of the MgB 2 . As there is an apparent difference in the pinning force, it is worth exploring the pinning mechanism further. The pinning force curves are fitted based on Ref. [17]. Moreover, to eliminate the effect of anisotropy in bulk MgB 2 , H n , where F p reaches half of F p max , is used instead of H irr [18]. All the F p /F p max curves are fitted using the simple scaling laws where h is the reduced field h = H/H n [18], as shown in Figure 5g-i. Furthermore, there is a noticeable difference in the pinning mechanism between the samples prepared using B powders with different particle sizes. The m and n values are 1/2 and 2 for the unpurified samples and 1 and 2 for the purified one. This fitting number combination corresponds to a standard surface pinning and normal point pinning. Subsequently, the pinning center becomes smaller as the B powder is purified. Figure 5j shows the critical field of bulk MgB 2 prepared using B powders with different particle sizes. Although purification can make MgB 2 clearer, the critical field, especially H c2 , was degraded. Figure 5k shows the critical transition value. Both samples have a steep transition curve. Moreover, due to the better phase formation of the sample prepared using purified B powder, T c is slightly higher. One of the primary roles of MgO in MgB 2 is the obstacle of supercurrent, so evaluating superconducting connectivity is very crucial.
, can quantitively evaluate the superconducting connectivity of bulk MgB 2 [19]. In this formula, ρ 300K and ρ 40K are the measured resistivities of bulk MgB 2 , as shown in Figure 5l, and ∆ρ ideal is chosen as 7.3 µΩ cm [20,21]. A f values of the sample with Raw B and purified B powder are 6.49% and 11.32%, respectively.

Discussion
Based on the results above, there is no doubt that the B powder's purification can affect the superconducting properties. However, there are still three questions that need to be discussed briefly.
What is the difference between the chemical purification method and heat treatment purification method? Interestingly, reducing the particle size can further enhance the purification effect of the chemical method but does not affect the heat treatment method. It partially proved our speculation that there is some B 2 O 3 inside the big chunk of B powder. This B 2 O 3 barely touched the chemical solution. Subsequently, when the big chunk is broken, the B 2 O 3 can be eliminated. However, during the heat treatment purification, the B 2 O 3 also can melt and volatilize. Therefore, reducing the particle size did not cause any positive effect.
After multiple research studies on B powder's purification by using both chemical method and heat treatment method, the advantages and disadvantages of each method are summarized. The purification effect is not strong enough for the chemical method, especially for the micro size B power. Decreasing B powder's particle size can help eliminate the oxygen better, but it is still not good enough. According to the literature [22,23], the hydroxyl in the chemical solution could attach to the surface of the boron powder, which can cause further oxidization during the synthesis of MgB 2 . In contrast, the purification effect of the heat treatment method is much better, and it does not have the hydroxyl problem. However, the high temperature is a highly sensitive environment for B powder. Even with a small amount of oxygen, it can cause severe oxidation of B powder. Thus, a special furnace or furnace tube is required. Furthermore, until now, we did not find any further agglomeration of B powder after a long heat treatment time. However, the B powder is microsize right now, which does not tend to agglomerate to each other. If the nanosize B powder is used, there is a possibility that the particle size will increase after heat treatment, which may affect the superconducting properties of MgB 2 .
Why could we not completely eliminate the oxygen in B powder?
We now investigate why we could not wholly purify all the oxygen in B powder. There are two possible reasons: where is the oxygen, and what is the oxygen?
As shown in the previous research [16], it is thought that the oxygen was embedded inside the B powder, which could not be eliminated. In this study, we tried to grind the B powder to decrease the particle size, which can expose more oxygen inside the powder. It is found that such a process only worked on the chemical solution method. It proved our previous speculation. Since the particle size is only partially decreased, which is far away from B powder's grain size, there is a possibility that the residual oxygen still existed inside the powder.
Since all our purification processes are focused towards eliminating the B 2 O 3 , if the oxygen content is not B 2 O 3 , our process will never work. As such, the second reason might be relevant to how the commercial powder was a Self-propagating high-temperature synthesis [24]. The gas route gives very pure crystalline boron (≥99%) in standard conditions, whereas the magnesiothermic reaction route produces boron with lower purity (90-97%). From the commercial point of view, the gaseous reaction is more expensive, whereas the magnesiothermic reaction produces amorphous B with a purity value of 95-97% at a much lower cost [25].
In this study, the B powder was purchased from a local company. The purity on the tag is "99.9% metals basis" [26]. However, the B powder comes from the magnesiothermic route, which reduces B 2 O 3 using Mg. The primary impurities in this route could be MgB 2 , MgO, and B 2 O 3 . MgO, which has high stability and high melting point, can remain inert in the heat treatment method. Considering that MgO was produced together with B, the MgO could be embedded into the B particles instead of only on the surface. Therefore, we surmised that it might be challenging to eliminate the oxygen in the B powder coming from the magnesiothermic reaction route.
What is the effect of the purification of B powder on the superconducting properties of MgB 2 ? After systematically investigating the effect of the purification of B powder on the superconducting connectivity, it can be found that even only a partial purification of the B powder can significantly affect the superconducting properties of bulk MgB 2 . The J c at the low field of the sample with purified B power is improved; however, pinning is reduced simultaneously. Further, notably, the pinning center became smaller according to our fitting. The superconducting connectivity was doubled. Even the B powder was only partially purified.
From the results, an initial conclusion is that the MgO could be the pinning center to MgB 2 and a supercurrent barrier. When the B powder is purified, the MgO amount decreases. Consequently, the pinning force at the high field is decreased, and the superconducting connectivity is enhanced. There is another speculation that the purified B powder may also cause a reduction in the size of MgO, which expresses a change in the pinning mechanism.
Moreover, the purification of the B powder can help us further understand the superconducting properties of pure polycrystalline MgB 2 without oxygen, thereby allowing us to reveal the effect of MgO finally. As a future study, the superconducting connectivity that significantly increased due to eliminating MgO sized B powder from the gaseous reaction route, such as that from Specialty Materials Inc., USA [27], or Pavezyum Company, Turkey [28], could be purified and investigated.

Conclusions
In this study, we investigated the effect of particle size on the purification results for B powder. The particle size reduction can aid the chemical method toward purifying the B powder further but does not affect the heat treatment method. The effect of the initial purifying effect on the superconducting properties was also investigated. The purification of the B powder can eliminate the MgO impurities in the bulk MgB 2 . J c of the purified sample was much higher at the low field but dropped faster when the magnetic field increased. The superconducting connectivity significantly increased due to the elimination of oxygen, probably MgO. It can be concluded that the purification of B powder is the key to understanding the superconducting properties of pure MgB 2 and the effect of MgO. We also discussed the reasons why oxygen could not be eliminated.

Conflicts of Interest:
The authors declare no conflict of interest.