[en] We describe how the contribution of crystallographic texture to the anisotropy of the
resistivity of polycrystalline samples can be estimated by averaging over crystallographic orientations
through a geometric mean approach. The calculation takes into account the orientation distribution
refined from neutron diffraction data and literature values for the single crystal resistivity tensor. The
example discussed here is a melt-cast processed Bi2Sr2CaCu2O8+ (Bi-2212) polycrystalline tube in
which the main texture component is a <010> fiber texture with relatively low texture strength.
Experimentally-measured resistivities along the longitudinal, radial, and tangential directions
of the Bi-2212 tube were compared to calculated values and found to be of the same order of
magnitude. Calculations for this example and additional simulations for various texture strengths
and single crystal resistivity anisotropies confirm that in the case of highly anisotropic phases such
as Bi-2212, even low texture strengths have a significant effect on the anisotropy of the resistivity in polycrystalline samples.
Disciplines :
Chemistry
Author, co-author :
Dellicour, Aline ; Université de Liège > Département de chimie (sciences) > LCIS - GreenMAT
Vertruyen, Bénédicte ; Université de Liège > Département de chimie (sciences) > Chimie inorganique structurale
Rikel, M O; Nexans Superconductors, 30179 Hannover, Germany
Lutterotti, Luca
Pautrat, Alain; Université de Caen Basse-Normandie > CRISMAT
Ouladdiaf, Bachir; Institut Laue-Langevin
Chateigner, Daniel; Université de Caen Basse-Normandie > CRISMAT
Language :
English
Title :
Preferred Orientation Contribution to the Anisotropic Normal State Resistivity in Superconducting Melt-Cast Processed Bi2Sr2CaCu2O8+δ
Publication date :
15 May 2017
Journal title :
Materials
eISSN :
1996-1944
Publisher :
MDPI AG, Basel, Switzerland
Special issue title :
Special Issue "Textures and Anisotropy in Advanced Materials"
Watanabe, T., Fujii, T., Matsuda, A. Anisotropic Resistivities of Precisely Oxygen Controlled Single-Crystal bi2sr2cacu2o8+dδ: Systematic Study on "Spin Gap" Effect. Phys. Rev. Lett. 1997, 79, 2113-2116.
Chen, X.H., Yu, M., Ruan, K.Q., Li, S.Y., Gui, Z., Zhang, G.C., Cao, L.Z. Anisotropic resistivities of single-crystal Bi2Sr2CaCu2O8+dδ with different oxygen content. Phys. Rev. B 1998, 58, 14219-14222.
Hilgenkamp, H., Mannhart, J. Grain boundaries in high-Tc superconductors. Rev. Mod. Phys. 2002, 74, 485-549.
Mori, Z., Doi, T., Kawabata, D., Ogata, K., Takahashi, K., Matsumoto, A., Kitaguchi, H., Hakuraku, Y. Growth of bi-axially textured bi2sr2cacu2o8+dδ (2212) thin films on SrTiO3 substrate by sputtering method. Physica C 2008, 468, 1060-1063.
Dimos, D., Chaudhari, P., Mannhart, J., LeGoues, F.K. Orientation Dependence of Grain-Boundary Critical Currents in YBa2Cu3O7-dδ Bicrystals. Phys. Rev. Lett. 1988, 61, 219-222.
Larbalestier, D., Gurevich, A., Feldmann, D.M., Polyanskii, A. High-Tc superconducting materials for electric power applications. Nature 2001, 414, 368-377.
Bock, J., Dommerque, R., Elschner, S., Hobl, A., Rikel, M.O. In Proceedings of the PASREG'10 (2010), Washington, DC, USA, 29 July 2010.
Garnier, V., Caillard, R., Sotelo, A., Desgardin, G. Relationship among synthesis, microstructure and properties in sinter-forged Bi-2212 ceramics. Physica C 1999, 319, 197-208.
Pavard, S., Bourgault, D., Villard, C., Tournier, R. Critical current density of 165 kA/cm2 at 4 K in bulk Bi2212/MgO textured by solidification in a high magnetic field and hot forging. Physica C 1999, 316, 198-204.
Voigt,W. Lehrbuch der Kristallphysik (Mit Ausschluss der Kristalloptik); B.G. Teubner: Berlin, Germany, 1928; ISBN: 978-3-663-15884-4.
Reuss, A. Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. Z. Angew. Math. Mech. 1929, 9, 49-58.
Matthies, S., Humbert, M. On the principle of a geometric mean of even-rank symmetric tensors for textured polycrystals. J. Appl. Crystallogr. 1995, 28, 254-266.
Bock, J., Bludau, M., Dommerque, R., Hobl, A., Kraemer, S., Rikel, M.O., Elschner, S. HTS Fault Current Limiters-First Commercial Devices for Distribution Level Grids in Europe. IEEE Trans. Appl. Supercond. 2011, 21, 1202-1205.
Fagnard, J.F., Elschner, S., Bock, J., Dirickx, M., Vanderheyden, B., Vanderbemden, P. Shielding efficiency and E(J) characteristics measured on large melt cast Bi-2212 hollow cylinders in axial magnetic fields. Supercond. Sci. Technol. 2010, 23, 095012.
Schweizer, T., Müller, R., Bohac, P., Gauckler, L.J. Oxygen nonstoichiometry of Bi-2212 high-Tc superconductors. In Third Euro-Ceramics, Vol. 2: Properties of Ceramics; Duran, P., Fernandez, J.F., Eds., Faenza Editrice Iberica: Arganda del Hey, Spain, 1993; Volume 2, pp. 611-616; ISBN: 8487683053.
Chateigner, D. Combined Analysis; Wiley-ISTE: London, UK, 2010; ISBN: 978-1-84821-198-8.
Lutterotti, L. Total pattern fitting for the combined size-strain-stress-texture determination in thin film diffraction. Nucl. Instrum. Methods Phys. Res. Sect. B 2010, 268, 334-340.
Gražulis, S., Chateigner, D., Downs, R.T., Yokochi, A.F.T., Quirós, M., Lutterotti, L., Manakova, E., Butkus, J., Moeck, P., Le Bail, A. Crystallography Open Database-An open-access collection of crystal structures. J. Appl. Crystallogr. 2009, 42, 726-729.
Yamada, Y., Watanabe, T., Suzuki, M. Systematic transport properties and their doping dependences for bi2sr2cacu2o8+dδ single crystals in a wide doping range. Physica C 2007, 460, 815-816.
Sotelo, A., Rasekh, S., Constantinescu, G., Amaveda, H., Torres, M.A., Madre, M.A., Diez, J.C. Effect of Pb doping on the electrical properties of textured Bi-2212 superconductors. J. Eur. Ceram. Soc. 2014, 34, 2977-2982.
Allgeier, C., Schilling, J.S. Correlation between the magnitude of the superconducting transition temperature and the normal-state magnetic susceptibility in Bi2Sr2CaCu2O8+y and Ti2Ba2CuO6+y as a function of oxygen content. Physica C 1990, 168, 499-505.
Jean, F., Collin, G., Andrieux, M., Blanchard, N., Marucco, J.F. Oxygen nonstoichiometry, point defects and critical temperature in superconducting oxide Bi2Sr2CaCu2O8+D. Physica C 2000, 339, 269-280.
Matsubara, I., Funahashi, R., Yamashita, H. Growth of Bi-based superconducting whiskers from glass precursors. In Superconducting Glass Ceramics in Bi-Sr-Ca-Cu-O Fabrication and Its Application; Abe, Y., Ed., World Scientific: Nagoya, Japan, 1997; pp. 149-191; ISBN: 978-981-02-3204-7.
Kametani, F., Jiang, J., Matras, M., Abraimov, D., Hellstrom, E.E., Larbalestier, D.C. Comparison of grain texture in round Bi2212 and flat Bi2223 superconducting wires and its relation to high critical current densities. Sci. Rep. 2015, 5, 8285.
Yamashita, S., Kasai, T., Fujii, T., Watanabe, T., Matsuda, A. Control of carrier concentration in Bi-2212. Physica C 2010, 470 (Suppl. 1), S170-S172.
Rikel, M.O., Koliotassis, L., Ehrenberg, J., Abdoulaeva, Z., Hobl, A. Interplay between the Effects of Cation Composition and O Contents on the Physical Properties And lattice Parameters of Melt Cast Processed Bi-2212 Bulk Materials, Report to EUCARD2; EDMS No. 1458872; CERN: Geneva, Switzerland, 2015.
Makise, T., Uchida, S., Horii, S., Shimoyama, J., Kishio, K. Magnetic properties of Bi2212 single crystals with Bi:Sr:Ca:Cu = 2:2:1:2. Physica C 2007, 460, 772-773.
Elschner, S., Bock, J., Bestgen, H. Influence of granularity on the critical current density in melt-cast processed Bi2Sr2CaCu2Ox. Supercond. Sci. Technol. 1993, 6, 413-420.
Kametani, F., Jiang, J., Polyanskii, A., Hellstrom, E.E., Larbalestier, D.C. Grain Structure and Current Transport in Bi2212 Polycrystalline Samples. In Proceedings of the MRS Spring Meeting, San Francisco, CA, USA, 9-13 April 2012.
Kocks, U.F., Tomé, C.N., Wenk, H.R. Texture and Anisotropy: Preferred Orientations in Polycrystals and Their Effect on Materials Properties; Cambridge University Press: Cambridge, UK, 2000; ISBN: 978-0-521-79420-6.
