DiscoveryDiscovery ofof thethe newnew superconductorsuperconductor MgBMgB22 andand itsits recentrecent developmentdevelopment by Yuji Zenitani and Jun Akimitsu

We recently discovered that the interme- which technology is built in the future. Spe- so far been in the region of 30 K, and no su- tallic compound diboride (MgB2) cifically, it could lead to major developments perconductors had been found to have high- exhibits the highest superconducting transi- such as: (i) a revolution in transport and dis- er superconducting transition temperatures. tion temperature (Tc = 39 K) of all metallic tribution methods, such as linear motor cars, Until now, the highest superconducting tran- superconductors. In this paper we report on (ii) highly efficient electric power generation sition temperature of an intermetallic com- the basic superconducting characteristics of and lossless power distribution using super- pound superconductor was that of Nb3Ge

MgB2 and the current status of the search conductors, (iii) faster and higher-capacity (23 K). However, we have discovered that the for applications for this material. In particu- information devices using superconduct- intermetallic compound MgB2 exhibits super- lar, we summarize the research into its criti- ing integrated circuits, (iv) high-performance conductivity with a transition temperature of cal current (Jc) and critical magnetic field H( c), medical sensors such as MRI scanners, and Tc=39 K, which is the highest yet recorded which are important parameters for practical applications to standard measurement de- for an intermetallic compound.1) applications of this material. vices, and (v) applications to small high-per- formance superconducting magnets, which 3. Synthesis Method 1. Introduction would be useful for a wide range of industri- Powdered magnesium (99.9% pure) and The search for practical applications of al and commercial applications. Even in these (amorphous, 99% pure) are mixed superconductors was spurred on by the dis- broad categories, superconductors should together in a molar ratio Mg:B = 1:2 inside covery of high-temperature copper oxide find a wide range of applications by creating a dry box filled with highly pure argon gas, superconductors in 1986, and after that ev- a technological paradigm shift. and the mixture is press-formed into pellets. ery university research center and private But in order for superconductors to be Pelletized samples are then wrapped in tan- corporation joined in the search for new su- widely applied until they achieve social and talum foil and placed in a graphite crucible, perconductor materials and applications for economic recognition, it is necessary to care- and using an O2-Dr. HIP made by Kobe Steel them. But in practice, the difficulty of pro- fully ascertain the benefits and drawbacks of Co. Ltd., they are fired at 973-1173 K for cessing oxide-based superconductors pre- copper oxide high-temperature superconduc- 1-10 hours in an atmosphere of argon gas vented them from finding many practical tors and intermetallic compound supercon- at 196 MPa to obtain single-phase samples applications. Although the superconduct- ductors. We have investigated the possibility of MgB2. ing transition temperature of oxide materials of appearing in various dif- Other possible synthesis methods include is substantially greater than that of metallic ferent types of material from various differ- sealed vacuum tube synthesis, ultra-high compound superconductors, finding practical ent viewpoints, and recently discovered that pressure pyrogenic synthesis, and synthesis applications for them still involved overcom- magnesium diboride (MgB2) has the highest by a solid-phase reaction in a stream of ar- ing the hurdle of having to cool them to low superconducting transition temperature of all gon gas. However, the HIP method is got the temperatures. However, in the 15 or so years metal superconductors. most efficient results in MgB2 samples with that have passed since then, remarkable This paper describes how we made this the greatest purity. progress has been made in the development discovery, and describes the superconductiv- A possible reason for this is that magne- of highly efficient cooling equipment that is ity and other physical properties of MgB2. We sium has low melting and boiling points and able to cool superconductors without the use also report on our current expectations for reacts with elements such as oxygen to form of liquid helium, and it now seems that prac- future applications of this material. highly stable compounds. When using an arc tical applications for this equipment will soon welding synthesis method, only the magne- begin to appear. 2. MgB2 : A New Superconduc- sium melts, and as a result the raw materials Although superconductors are thus faced tor separate out into magnesium and boron. Ul- with various obstacles on the path to practi- In intermetallic compound superconduc- tra-high pressure pyrogenic synthesis entails cal applications, the reason why many peo- tors, which are referred to as BCS-based su- very high costs for each time synthesis is per- ple are looking for practical applications for perconductors, or in superconductors that formed. In the sealed vacuum tube synthesis these materials is that superconductors have do not contain copper-oxide, the limit of the method and the method involving low-tem- the potential to radically alter the basis on superconducting transition temperature has perature synthesis in a stream of argon gas,

Department of Physics, College of Science and Engineering, Aoyama Gakuin University (6-16-1 Chitosedai, Setagaya-ku, Tokyo 157-8572) E-mail: [email protected]

4 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 5 CuK�

(101) a=0.3086nm the magnesium can easily become oxidized. c=0.3524nm When the inert gas argon is used in a hot hydrostatic compression method, the melt- ing and boiling points of the magnesium are increased, and it becomes possible to synthe-

size MgB2 at higher temperatures than in the above mentioned sealed vacuum tube syn- (100) thesis method or the method involving low- Intensity (arbitrary units) (arbitrary Intensity

temperature synthesis in a stream of argon (110) (002)

gas. This method also suppresses the genera- (201) (102) (001) tion of impurities such as oxides and can syn- (111) (200)

thesize single-phased MgB2. It is also capable 10 20 30 40 50 60 70 80 of synthesizing large volumes of samples at Diffraction angle � /180 (degrees) the same time. For these reasons, we used

the O2-Dr. HIP made by Kobe Steel Co. Ltd. Fig. 1: X-ray diffraction spectrum of synthesized MgB2. This spectrum corresponds to a hexagonal in space group P6/mmm (no. 191), where a = 0.3086 nm and c = 0.3524 nm. All the peaks have corresponding indices, so 4. The Structure and Super- the sample must be single-phase. conducting Characteristics of MgB2 Figure 1 shows the X-ray diffraction

spectrum of powdered MgB2. These results indicate that the mate- c rial has a hexagonal crystal structure in space group P6/mmm (no. 191), where a = 0.3086 nm and c = 0.3524 nm. All the peaks have corresponding indices, so the sample must a a be single-phase. Figure 2 shows a model of

MgB2 crystal structure based on parameters derived from this structural analysis. As you can see from this model, the structure is made from an alternating se-

quence of Mg and B2 layers. The Mg layers consist of triangular lattice planes, and the

B2 layers consist of hexagonal honeycomb lattice planes similar to those of graphite. Since these planes have a two-dimensional structure, the material is expected to exhibit two-dimensional superconductivity as a re- sult of its crystalline structure. The distance

between adjacent B sites in the B2 layers is about 0.178 nm, and the distance between Fig. 2: The crystalline structure of MgB2 based on the parameters derived from structural analysis. As the upper figure

Mg sites in the Mg layers is about 0.3086 shows, the crystal consists of Mg planes containing only magnesium and B2 planes containing only boron, which are nm, which is the same as the a-axis length. layered alternately along the c axis. The lower figure shows the appearance from the [001] direction. The Mg layers consist of triangular lattice planes, and the B2 layers consist of hexagonal honeycomb lattice planes similar to those of The Mg atoms are located on the central ax- graphite.

4 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 5 ����

���� is of the hexagonal columns formed by the � ���� T������� B atoms. This structure is referred to as an 2,3) ���� AlB2-type structure, and is expressed by the general formula MB2 (where M represents a ���� metallic element). Figure 3 shows how the DC susceptibil- ity varies with temperature. After the sample ���� has been cooled in the absence of a mag- ������ netic field, it is measured while increasing the ���������������������� ���� H���� temperature of the sample in an externally applied field of 1 mT (zero field cooling: ZFC), � �� �� �� �� �� �� and then its temperature is reduced again and measured in the same field (field cool- ��������������� ing: FC). As you can see from the results, it exhibits a large Meissner diamagnetism (a Fig. 3: The temperature variation of DC susceptibility in MgB2. After the MgB2 has been cooled to 5 K in a zero field, it is measured while increasing the temperature of the sample in an external field of 1 mT (zero field cooling: ZFC), and characteristic of superconductors) from 39 K then its temperature is reduced again and measured in the same field (field cooling: FC). In both cooling processes it in all the cooling processes, and the super- exhibits the Meissner paramagnetism characteristics of superconductors from 39 K, and the volumetric proportion of superconductor at 5 K as determined from the susceptibility when cooling in a magnetic field (FC) is found to be 49%. conducting volume fraction at 5 K as deter- mined from the susceptibility when cooling in a magnetic field (FC) is found to be 49%. It can thus be seen that the supercon-

ducting transition temperature of MgB2 is 39 K. Since the volumetric proportion of super- conductor at 5 K as determined from the sus- � ceptibility in a magnetic field (FC) is 49%, we ���� know that it is a bulk superconductor. Next, �

����� ����� Fig. 4 shows how the DC magnetization de- � pends on the magnetic field M( -H curve).

���� ����� In the measurements made below the �� � �� superconducting transition temperature, it

� ����� ��

� exhibits typical behavior seen in type 2 su- � perconductors, and based on this graph, the � estimated lower critical field Hc1 and mag- ����� �� � ��� �

�� netic field penetration length at 0 K are ap-

�� �� � � ����� �� ����� proximately 75 mT and 97 nm, respective- �� ����� ly. The results of measurements made by �� �� ���� other groups are reported as 28-48 mT and �� ����������������� � ��� ��� ��� ��� ��� ����������������� ������������������ 85-180 nm. In general, when estimating Hc1 �� from the magnetization curves of type 2 su- ��� �� � � �� ������������������ perconductors, any irregularities such as crys- talline defects and impurities in the crystal act so as to pin the magnetic flux, so that the Fig. 4: Variation of DC magnetization with magnetic field in MgB2. This graph shows the typical behavior seen in type observed magnetization increases even when 2 superconductors. Based on this graph, the estimated lower critical field Hc1 and magnetic field penetration length at 0 K are approximately 75 mT and 97 nm, respectively. Hc1 is exceeded, and it is thus important to

6 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 7 1.4

m) 1.2 �

take care when entering such discussions. � ( This is probably the reason for the wide dis- 1.0 Tc=39(K) tribution in the values measured by each group. 0.8 Also, the magnetization of mixed states in a type 2 superconductor reflects the mag- 0.6 netic characteristics due to flux pinning, and it is possible to estimate the superconduct- 0.4

ing critical current Jc from the magnetization 0.2

curves of flux in a trapped state using models resistivity electrical DC such as those proposed by Bean4) and Kim.5) Numerous reports have already been 0 0 50 100 150 200 250 300 made regarding the variation of J with mag- c Temperature (K) netic field and temperature in bulk samples, powder samples, wires, tapes and thin films. The values obtained in bulk samples are ≈ Fig. 5: The temperature dependence of electrical resistivity in MgB2. The electrical resistivity decreases linearly from 105 A/m2 at H=0 T, ≈108 A/m2 at H=6 T, and room temperature down to about 150 K, below which it decreases in proportion to the second or third power of tem- perature. Since a sintered sample was used for these measurements, it has a large electrical resistivity of approximately ≈106 A/m2 at H=10 T.6) These values are all 0.7 µV/A·m above the superconductivity transition temperature (Tc). Like the results for the temperature dependence 1-2 orders of magnitude smaller than those of DC susceptibility, the electrical resistivity drops sharply at 39 K, and at 38 K it exhibits zero resistance. obtained with metallic superconductors that

are already in practical use (Nb3Sn and Nb-Ti). In powder samples, a value of 3 × 1010 A/m2 is obtained at H≤1 T, which is larger than the alloyed with metals such as Ti, Ag, Cu and perature down to about 150 K, below which

value obtained with Nb3Sn or Nb-Ti. Howev- Mo the value of Jc increases almost indepen- it decreases in proportion to the second or 9) er, it decreases rapidly in the presence of an dently of Tc, and Soltanian et al. reported third power of temperature. external magnetic field, and it has been re- on the shielding effect of the Fe sheath with For these measurements we used a sin- ported to drop down to 106 A/m2 in a strong respect to external magnetic fields in the pro- tered sample with a large grain size and a magnetic field of H=7 T.7,8) Also, the value cessing of Fe-coated tape.5) rather rough structure. As a result, the elec- 9-13) 14-19) 2) 22) of Jc in wire and tape samples is low- Kim et al., Eom et al., and Parantha- trical resistivity above Tc is quite large at 0.7 er than the values obtained from bulk and man et al.23) have reported on thin film sam- µΩm. However, a much smaller value of powder samples, especially at low magnetic ples, and suggest that it has a performance approximately 0.0038 µΩm was obtained 10 2 fields. However, the attenuation resulting better than the value of 10 A/m obtained above Tc in measurements made with a

from external magnetic fields is suppressed with Nb3Sn and Nb-Ti, albeit at low magnetic dense sample obtained by ultra-high-pressure due to the shielding effects of the processed fields. However, at high magnetic fields it synthesis, and this is substantially lower than 9 shape, so these samples has a high Jc of 10 has a Jc smaller than that of Nb3Sn and Nb- the value of 0.11 µΩm obtained with the A/m2 at H=5 T. Ti in the same way as a powder sample. As conventional intermetallic compound super-

In other papers, Suo et al. reported that a method for addressing these drawbacks, conductor Nb3Sn. This low resistivity should

in tape processing the value of Jc could be in- Eom et al. also reported that it is possible to allow it to transfer large electrical currents 8 2 creased approximately tenfold by an anneal- obtain a large Jc of 10 A/m even under high even in the normal conduction state. ing process,20) Wang et al. reported that in Fe fields of H=14 T by incorporating oxygen or The DC resistivity drops sharply at the coated wire processing it is possible to obtain MgO into the sample. same temperature of 39 K where a reduction performance similar to that of prolonged sin- Figure 5 shows the temperature depen- in DC susceptibility is seen, becoming zero at tering by performing repeated ,10) Jin dence of electrical resistivity. The electrical 38 K. Even though the measured sample was et al. reported that in the processing of wires resistivity decreases linearly from room tem- not finely structured, a very narrow transition

6 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 7

5 � 4 range of about 1 K is still obtained, thus indi- cating the favorable nature of the supercon- 3 ducting characteristics. Figure 6 shows the variation of thermo- electromotive force with temperature. Af- 2 ter making a discontinuous jump at Tc, the sign of the thermoelectromotive force be- 1 comes positive (indicating that the carriers are holes), and increases in proportion to the temperature up to about 150 K (a behavior Thermoelectromotive force ( V/K) ( force Thermoelectromotive 0 often exhibited by ordinary metals). As the 0 50 100 150 200 250 300 temperature increases further, it approaches Temperature (K) a fixed value. This sort of temperature dependence Fig. 6: The temperature dependence of thermoelectromotive force in MgB2. After jumping discontinuously at the su- perconductivity transition temperature of 39 K, the sign of the thermoelectromotive force becomes positive (hole car- variation is observed not only in the electrical riers) and increases in proportion to the temperature up to about 150 K (a behavior often exhibited by ordinary met- resistivity as described above, but also in the als). As the temperature increases further, it approaches a fixed value. Hall effect. Below 150 K, the proportional co- efficient of the thermoelectromotive force is about 3-4 times the value for ordinary met- als such as Cu and Au. However, it does not agree with the high carrier density value of 23 -3 0.6 10 cm estimated from the Hall coefficient 0T by other groups. Such a large carrier density 0.5T is about 2 orders of magnitude greater than 0.5 1T 1.5T that of the intermetallic compound supercon- 24)

m) m) 2T ductor Nb3Sn, and one possible explanation � 0.4 3T for such a large figure is the existence of two � 4T types of carrier as mentioned above. 5T 0.3 7T Next, Fig. 7 shows the temperature de- 9T pendence of electrical resistivity in a mag- netic field. As the applied magnetic field 0.2 increases, the temperature at which the su- DC resistivity ( ( resistivity DC perconductivity transition starts and the tem- 0.1 perature at which the resistance becomes zero both tend to decrease. This behavior is 0 very similar to that observed in conventional 0 15 20 25 30 35 40 45 metallic superconductors (e.g. A15 type su- Temperature (K) perconductors), and contrasts with the be- havior of copper oxide high-temperature su- Fig. 7: Variation of electrical resistivity with temperature in MgB2 in a magnetic field. As the applied magnetic field -in creases, the temperature at which the superconductivity transition starts and the temperature at which the resistance perconductors (such as YBa2Cu3O7). becomes zero both tend to decrease. This behavior is very similar to that observed in conventional metallic supercon- ductors (e.g. A15 type superconductors). Figure 8 shows the temperature varia- tion of the upper critical magnetic field Hc2 (T) as derived from the temperature dependence of electrical resistivity in a magnetic field.

8 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 9 At temperatures close to Tc, the tempera- αMg of the isotopic effects of Mg atoms is tution with other elements. Although these 28) ture dependence of Hc2 (T) is not proportional about 0.02. From these reports, it can eas- experimental results suggest that it is difficult

to temperature, and this behavior is also ob- ily be inferred that superconductivity in MgB2 to increase Tc by substituting with other ele- served in intermetallic compound supercon- is strongly related to the mechanism whereby ments, the comparative ease with which ele-

ductors such as YNi2B2C. At other tempera- superconductivity is expressed in the B2 lay- ments can be substituted is worth investigat- tures, its behavior is proportional to the ers. ing for application in other areas. However, temperature, and the gradient of this line is Also, since there are numerous materi- it may be necessary to devise different ap-

-0.69 T/K. Therefore, by considering this val- als that have an AlB2-type structure, it is easy proaches. ue together with the dirty limit in type 2 su- to perform atomic substitution, and thus nu- The superconducting gap formed in the 25,26) perconductors, the value of Hc2 (T) at 0 K merous attempts are being made to increase superconducting state has been studied by a

is estimated to be approximately 18.6 T. Fur- Tc particularly by carrier doping whereby the variety of spectral measurements, and is now thermore, the coherence length can be esti- Mg sites (metal sites) are substituted with broadly understood in terms of BCS theo- mated to be about 4.18 nm from this value various other elements.29) Substitution of ry. However, there are also many examples

of Hc2, which basically agrees with the results the B sites with other elements is also being where different measurement techniques of measurements made by other groups. tried, and the effects of substituting them produce different results, so further clarifica- So far we have discussed the research with carbon has already been reported.30) tion is still required. To address this situation, into the basic superconducting characteristics However, nobody has yet reported any sig- there is a need for detailed measurements

of this material, but in addition many groups nificant increases in Tc as a result of substi- using high purity single crystals. have reported on experimental and theoreti- cal research into the mechanism whereby this superconductivity is expressed. After our group reported the discovery of this superconductor, it was quickly followed 30

by a report from Bud'ko et al. regarding ex- ) (T)

27) T (

periments on isotopic effects. Isotopic ef-

c2 25 fects make it possible to ascertain whether or H not the superconducting state is mediated by -phonon interactions as described by 20 BCS (Bardeen-Cooper- Schrieffer) theory. According to their report, the onset of super- 10 15 conductivity occurs at 40.2 K in Mg B2 and 11 at 39.2 K in Mg B2, and the coefficient αB of

the isotopic effect for B atoms is αB = 0.26, 10

which is lower than the value of αB = 0.5 pre- dicted by BCS theory. This result shows that 5 this superconductivity is basically mediated by electron-phonon interactions, but this is not

entirely so and it is expected that the super- field magnetic critical Upper 0 0 5 10 15 20 25 30 35 40 conducting state includes a complex mixture of other factors. Temperature (K)

On the other hand, in experiments to Fig. 8: The upper critical magnetic field Hc2 of MgB2 at various temperatures. This graph was obtained from the results of the electrical resistivity temperature dependence in a magnetic field by plotting the upper critical magnetic field determine the isotopic effects of 24Mg and Hc2 at each temperature against the change in temperature. At temperatures close to the superconductivity transition 26 Mg, Hinks et al. reported that there is al- temperature, the temperature dependence of Hc2 is not proportional to temperature, and this behavior is also ob- served in intermetallic compound superconductors. At other temperatures, its behavior is proportional to the tempera- most no change in Tc and that the coefficient ture.

8 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 9 The successful production of single crys- elements than oxide superconductors, and for bulk materials is reported to lie in the tals-albeit very small ones-was recently re- since there is no uncertainty in its compo- range from Hc2 (0) = 12 T to 18 T. The values ported,31) and the anisotropic parameters sition, it is a material that is easy to synthe- obtained in measurements made with high- obtained by making measurements such as size and stable. density bulk samples synthesized by ultra- those described above with single crystals (3) Compared with the intermetallic com- high pressure synthesis range from Hc2 (0) = have also been reported. pound superconductors that have so far 18 T to 26.5 T. The variation of these values

With regard to the Hc2 anisotropy, a val- been used in practical applications, it con- arises because the quality of the samples is ue of 2-3 has been reported for Hc2ab/Hc2c, sists of lighter atoms and thus weighs less. not constant. Compared with Nb3Sn and Nb- and it has been suggested that this mate- First, (1) its superconducting transition Ti, which have already found practical appli- rial has two-dimensional superconducting temperature is about 20 K higher than that cations, it has an intermediate value for Hc2 properties as expected from the crystalline of conventional intermetallic superconduc- (0), and the increase in dHc2/dT is small. This structure, although this anisotropy is not as tors. This has the advantage of providing a indicates that it has a small mean free path. large as in oxide superconductors. However, greater temperature margin for maintaining Accordingly, it is predicted that it will be in measurements made with single crystals, a superconducting state. possible to improve Hc2 by doping with other smaller values are estimated for Hc2 and Jc Next, (2) since it consists of just the two elements to reduce the mean free path. In than with other types of sample such as bulk elements magnesium and boron, it can be practice, it has been reported that the value samples, and it is thought that the higher val- made with fewer raw materials than copper of Hc2 in a thin film can be substantially in- ues obtained for Hc2 and Jc are due to extrin- oxide high-temperature superconductors and creased by doping with oxygen. As for the sic factors such as phase boundaries rather is comparatively easy to synthesize. And since critical current density (Jc), according to calcu- than intrinsic factors within the material. MgB2 has a stable composition and structure, lations using the Bean model from the history

its superconducting transition temperature of magnetization curves, the value of Jc at 10 5. The Development of Appli- does not vary greatly. In other words, it has K and 10 kA/m is 5 × 109 A/m2 inside grains cations the advantages of being a stable material and 0.4 × 109 between grains. The value of

As discussed above, although some of that is easy to make. It also seems to lend it- Jc at 5 K is lower than that of conventional the most basic quantities of this material self to the production of forms such as thin superconductor materials such as Nb3Sn, but such as the superconducting transition tem- films and wires. it is thought that the Jc characteristics will im- perature have been clarified, there is still a Finally, (3) since it is a lightweight materi- prove as purer samples become available and lack of reliable figures for the basic physical al that can even be used for power transmis- the pinning mechanism becomes more clear- properties and characteristics of this mate- sion lines, it can alleviate the load on power ly understood. rial concerning other physical quantities of installations and the like because it functions Today, research establishments all over importance to practical applications, such as as a superconductor. the world are continuing to research the fun- anisotropy. But even though the necessary Although this only a simple general view, damental physical properties of MgB2 and characteristics are still unclear, MgB2 is still re- MgB2 has a number of advantages for practi- develop techniques for processing it into garded as a promising candidate for practical cal applications. forms such as wires, tapes and thin films with applications because it has several advantag- Superconductivity, which is the most im- a view to developing practical applications es such as the following: portant attribute in terms of practical appli- for this material. So far, although a large vol- (1) It has the highest superconducting transi- cations, is characterized by a critical current ume of data has been obtained by these es-

tion temperature (39 K) of all intermetallic density (Jc) and an upper critical magnetic tablishments, it has not yet coalesced into an

compounds. field (Hc2). In MgB2, the upper critical mag- integrated model. But this is only to be ex-

(2) MgB2 consists of the two elements magne- netic field H( c2) has been measured by a num- pected from a material discovered so recent- sium and boron. It has fewer constituent ber of organizations, and its reported value ly. For future study, comprehensive studies

10 JSAP International No.6 (July 2002) JSAP International No.6 (July 2002) 11 are required in areas such as the following: Reference (1) Why does MgB2 have a high supercon- 1 ) J. Nagamatsu, N. Nakagawa, T. Muranaka, 18 ) H. Kumakura, A. Matsumoto, H. Fujii and K. ducting transition temperature of T = 39 c Y. Zenitani and J. Akimitsu : Nature 410, 63 Togano : cond-mat, 0106002 (2001). K? To answer this question, the conformity (2001). 19 ) K. J. Song, N. J. Lee, H. M. Jang, H. S. Ha, D. of this material with conventional BCS the- 2 ) V. Russel, F. A. Kanda and A. J. King : Acta W. Ha, S. S. Oh, M. H. Sohn, Y. K. Kwon and ory needs to be studied, and a comparison Crystallogr. 6, 870 (1953). K. S. Ryu : cond-mat, 0106124 (2001). with real experimental results is also re- 3 ) N. V. Vekshina, L. Ya. Markovskii, Yu. D. 20 ) H. Suo, C. Beneduce, N. Musolino, J. Y. Ge- Kondrashev and T. K. Voevodskaya : J. Anal. noud and R. Flukiger : cond-mat, 0106341 quired. Chem. USSR 44, 970 (1971). 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A. perconductivity. lin : Nature 411, 561 (2001). Regan, M. A. Hayward, T. He, J. S. Slusky, K. (3) The establishment of processing tech- 8 ) M. Dhale, P. Toulemonde, C. Beneduce, N. Inumaru, M. K. Hass and R. J. Cava : Nature Musolino, M. Decroux and R. Flukinger : 411, 558 (2001). niques for the formation of wires, thin cond-mat, 0104395 (2001). 23 ) M. Paranthaman, C. Cantoni, H. Y. Zhai, H. films and the like for practical applications, 9 ) S. Jin, H. Mavoori and R. B. van Dover : Na- M. Christen, T. H. Aytug, H. R. Kerchner and optimization of the processing parameters ture 411, 563 (2001). D. K. Christen : Appl. Phys. Lett. 78, 3669 required for these techniques, and mea- 10 ) X. L. Wang, S. Soltanian, J. Hovat, M. J. Qin, (2001). surement of the superconducting charac- H. K. Liu and S. X. Dou : cond-mat, 0106148 24 ) C. Nolscher and G. Saemann-Ishenko : Phys. (2001). Rev. B 32, 1519 (1985). teristics of each form. 11 ) B. A. Glowacki, M. Majoros, M. Vickers, J. E. 25 ) N. R. 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