Comparisons of critical and engineering current densities for superconductors available in long lengths.

Engineering Critical Current Density vs. Applied Field

September 14, 2017

You can add your own data to the plot using the Excel Worksheet.

  1. Right click on the plot.
  2. From the menu that pops up choose: “Select Data ... “
  3. A “Select Data Source” window will pop up that will allow you to add your data. Suggestions/corrections are always welcome.


YBCO: Tape, ∥ Tape-plane, SuperPower. REBCO: SP26 tape, 50 μm substrate, 7.5%Zr. Measured by Aixia Xu at the MagLab:

YBCO: Tape, ⊥ Tape-plane. REBCO: SP26 tape, 50 μm substrate, 7.5%Zr. Measured at the MagLab by Aixia Xu:

Bi-2223: B ∥ Tape plane: Sumitomo Electric Industries. Measured at NHMFL (D. Abraimov) unpublished.

Bi-2223 (Carrier Controlled): B ⊥ Tape-plane "DI" BSCCO "Carrier Controlled" Sumitomo Electric Industries (MEM'13 presented by Kazuhiko Hayashi).

Bi-2223 (2012 production): B ⊥ Tape-plane "DI" BSCCO (measured at the MagLab by Jianyi Jiang and Dmytro Abraimov Oct. 2013).

2212: OST NHMFL 50 bar overpressure HT. Sample pmm170123, 0.78 mm Diam. (after HT) , OST 55x18 composite using nGimat powder. J. Jiang et al. (MagLab), August 2017 unpublished.

Nb-47Ti: 0-6 T - 1.8 K and 4.2 K: Boutboul, T.; Le Naour, S.; Leroy, D.; Oberli, L.; Previtali, V.; , "Critical Current Density in Superconducting Nb-Ti Strands in the 100 mT to 11 T Applied Field Range," Applied Superconductivity, IEEE Transactions on , vol.16, no.2, pp.1184-1187, June 2006. doi: 10.1109/TASC.2006.870777

Nb-47Ti: 5-8 T 1.8 K Maximal: Nb-Ti: Max @4.2 K for whole LHC NbTi strand production (CERN-T. Boutboul '07)ç>Nb-47Ti: 4.22 K for 11.75 T Iseult/INUMAC MRI: Kanithi H, Blasiak D, Lajewski J, Berriaud C, Vedrine P and Gilgrass G 2014 Production Results of 11.75 Tesla Iseult/INUMAC MRI Conductor at Luvata IEEE Transactions on Applied Superconductivity 24 1–4 doi: 10.1109/TASC.2013.2281417

Nb3Sn (RRP®): Non-Cu Jc Internal Sn OI-ST RRP® 1.3 mm, Parrell, J.A.; Youzhu Zhang; Field, M.B.; Cisek, P.; Seung Hong; , "High field Nb3Sn conductor development at Oxford Superconducting Technology," Applied Superconductivity, IEEE Transactions on , vol.13, no.2, pp. 3470- 3473, June 2003. doi: 10.1109/TASC.2003.812360 and Nb3Sn Conductor Development for Fusion and Particle Accelerator Applications J. A. Parrell, M. B. Field, Y. Zhang, and S. Hong, AIP Conf. Proc. 711, 369 (2004), doi: 10.1063/1.1774590.

Nb3Sn (High Sn Bronze): T. Miyazaki et al. MT18 - fig3, Miyazaki, T.; Kato, H.; Hase, T.; Hamada, M.; Murakami, Y.; Itoh, K.; Kiyoshi, T.; Wada, H.; , "Development of high Sn content bronze processed Nb3Sn superconducting wire for high field magnets," Applied Superconductivity, IEEE Transactions on , vol.14, no.2, pp. 975- 978, June 2004 doi: 10.1109/TASC.2004.830344

MgB₂: 18 Filament - The OSU/HTRI C 2 mol% AIMI ("Advanced Internal Mg Infiltration") 33.8% Filament to strand ratio, 39.1% MgB₂ in filament.

G. Z. Li, M. D. Sumption, J. B. Zwayer, M. A. Susner, M. A. Rindfleisch, C. J. Thong, M. J. Tomsic, and E. W. Collings, “Effects of carbon concentration and filament number on advanced internal Mg infiltration-processed MgB₂strands,” Superconductor Science and Technology, vol. 26, no. 9, p. 095007, Sep. 2013. doi: 10.1088/0953-2048/26/9/095007

Links to ASC, MT and ICMC Proceedings can be found on the conferences page.

Non-stabilizer Critical Current Density vs. Applied Field

September 27, 2017

You can add your own data to the plot using the Excel Worksheet.

  1. Right click on the plot.
  2. From the menu that pops up choose: “Select Data ... “
  3. A “Select Data Source” window will pop up that will allow you to add your data. Suggestions/corrections are always welcome.

See Archive of previous versions.

Edited Version of Comparison between Bulk Pinning Force and Field of a Superconductor

Critical Surface of YBCO Tape

Nb3Sn Scaling Spreadsheet

Matthijs Mentink, Diego Arbelaez, Arno Godeke [LBNL]

Version 5 Release Notes (January 2010):

Microsoft Excel spreadsheet that runs a Visual Basic code to allow the user to easily calculate Ic(B,T,strain), Tc(B,strain), and Bc2(T,strain) for Nb3Sn superconductors using a fixed set of material parameters, thereby allowing rapid and convenient parameterizations of measurement results. The calculations are based on scaling relations for Nb3Sn as were published in 2006 and accepted for ITER in 2008. The new spreadsheet includes improvements that were made since then.

The spreadsheet runs on all Microsoft Office versions that include Visual Basic scripting, which is most versions except Office 2008 for MacIntosh OS (Microsoft has unfortunately removed Visual Basic from that package). The user has to tweak the security settings in Excel to enable Visual Basic macro programs to run for the calculations to work. We found "Ask whether macro's to run when opening" a good compromise between the standard high security setting (do not run any macro's) and the lowest security setting that enables all macro's to run in Excel.

The version below is the new public version V5.0. The last public version posted here was V4.2. Changes with respect to V4.2 are:

  1. The use of mathematically simplified relations and improved programming
  2. The inclusion of a new strain formalism that includes upward curvature in Bc2(strain) for high compressive strains, asymmetry, which is derived from a 3D, three invariant strain description. This improvement stems from requests by Luca Bottura and Bernardo Bordini, who analyzed the available scaling relations for ITER
  3. Removal of the axial thermal pre-strain from the material property list. All strain values that are used in the spreadsheet are now intrinsic strain values, i.e. adjusted for the thermal pre-strain
  4. The material property list now includes the pinning constants p and q, allowing the user to vary them and/or use them as fit parameters, thereby addressing users desires (e.g. for ITER)
  5. The new name (MAG spreadsheet) is derived from the main contributor's last names (Mentink, Arbelaez, Godeke)


  1. The Visual Basic code, as in V4.2, uses the full Maki-DeGennes descriptions to calculate Bc2(T) as opposed to it's approximation Bc2(T) ~ Bc2(0)(1-t1.52). We were tempted to simplify the code, but consider simplicity of the mathematics not a good reason to replace an exact, microscopic based description by a less accurate approximation. As pointed out by various users, the approximation only leads to errors of about 0.5 T in Bc2(T), but such errors in Bc2 would lead to undesired significant errors in Ic. Users who would like a version that uses the approximation can edit the source code, which is self-explanatory, or send the authors a request to make a private version.
  2. The magnetic fields in the spreadsheet are considered to be total magnetic fields, i.e. self-field corrected values. The user has to apply the appropriate self-field corrections for his/her specific measurement.
  3. Feel free to distribute this spreadsheet.
  4. Feel free to modify the codes as desired. The authors would like to ask the user to re-name the file appropriately if a modified version is distributed.
  5. Tested extensively, but please report bugs using email link below.


Matthijs Mentink (now at CERN), Diego Arbelaez (LBL), Arno Godeke (now at Varian)

Scaling Spreadsheet - V5 Jan 2010

Daniel's XL Toolbox was used to generate some versions of the plots from Excel.

For more information please contact Peter Lee.

Last modified on 27 September 2017