  The present state of development of a series of industrial superconductors is
reviewed in consideration of their future applications in high field
accelerator magnets, with particular attention on the material aspect. The
discussion is centred on Nb3Sn and MgB2, which are industrially available in a
round wire configuration in kilometre lengths and are already envisaged for use
in the LHC Upgrade (HL-LHC). The two systems Bi-2212 and R.E.123 may be used in
magnets with even higher fields in future accelerators: they are briefly
described.
