Abstract

Dipole magnets for the proposed Future Circular Collider (FCC) demand specifications significantly beyond the limits of all existing Nb3Sn wires, in particular a critical current density (Jc) of more than 1500 A mm−2 at 16 T and 4.2 K with an effective filament diameter (Deff) of less than 20 μm. The restacked-rod-process (RRP®) is the technology closest to meeting these demands, with a Jc (16 T) of up to 1400 A mm−2, residual resistivity ratio > 100, for a sub-element size Ds of 58 μm (which in RRP® wires is essentially the same as Deff). An important present limitation of RRP® is that reducing the sub-element size degrades Jc to as low as 900 A mm−2 at 16 T for Ds = 35 μm. To gain an understanding of the sources of this Jc degradation, we have made a detailed study of the phase evolution during the Cu–Sn ‘mixing’ stages of the wire heat treatment that occur prior to Nb3Sn formation. Using extensive microstructural quantification, we have identified the critical role that the Sn–Nb–Cu ternary phase (Nausite) can play. The Nausite forms as a well-defined ring between the Sn source and the Cu/Nb filament pack, and acts as an osmotic membrane in the 300 °C–400 °C range—greatly inhibiting Sn diffusion into the Cu/Nb filament pack while supporting a strong Cu counter-diffusion from the filament pack into the Sn core. This converts the Sn core into a mixture of the low melting point (408 °C) η phase (Cu6Sn5) and the more desirable ε phase (Cu3Sn), which decomposes at 676 °C. After the mixing stages, when heated above 408 °C towards the Nb3Sn reaction, any residual η liquefies to form additional irregular Nausite on the inside of the membrane. All Nausite decomposes into NbSn2 on further heating, and ultimately transforms into coarse-grain (and often disconnected) Nb3Sn which has little contribution to current transport. Understanding this critical Nausite reaction pathway has allowed us to simplify the mixing heat treatment to only one stage at 350 °C for 400 h which minimizes Nausite formation while encouraging the formation of the higher melting point ε phase through better Cu–Sn mixing. At a Ds of 41 μm, the Nausite control heat treatment increases the Jc at 16 T by 36%, reaching 1300 A mm−2 (i.e. 2980 A mm−2 at 12 T), and moving RRP® closer to the FCC targets.

Highlights

  • To advance experimental high energy physics beyond the Large Hadron Collider (LHC), a Future Circular Collider (FCC) [1, 2] has been proposed with a proton center-of-mass energy of 100 TeV and a circumference of about 100 km [3]

  • The first section will summarize the reactions occurring in the standard heat treatment, the second section will focus on the optimization of the ‘Nausite control heat treatment’ (NCHT) which deals with the Nausite ring and its operation as a regulatory membrane, as well as the conversion of the Sn-rich core into a lower-Sn core

  • It is very important to point out that the 48 h at 215 °C do not consume all of the Sn present in the wires—something that was pointed out in [24, 35] for similar wire types—about 30% of the initial Sn remains and liquefies once the heat treatment proceeds to the 400 °C mixing stage

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Summary

Introduction

To advance experimental high energy physics beyond the Large Hadron Collider (LHC), a Future Circular Collider (FCC) [1, 2] has been proposed with a proton center-of-mass energy of 100 TeV and a circumference of about 100 km [3]. This is a major advance beyond the 14 TeV center-of-mass energy and 27 km circumference of the LHC [4], and it will require more than 5000 superconducting dipole magnets with magnetic fields of 16 T [5]—a demanding target compared to the 8 T magnets of the LHC [6]. This paper directly addresses the causes of this drop and shows that Jc can be raised by redesigning the intermediate heat treatment stages to minimize Nb0.75Cu0.25Sn2 (‘Nausite’) formation and maximize Cu diffusion into the core

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