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Composite conductors of copper and titanium‐niobium, either cable or solid, have been fabricated with low‐weight‐percentage Nb alloys in the range 22–28 at.% niobium. The fabrication of such alloys and conductors involves heat treatment in the temperature range 300°–500°C. It has been found that omega‐phase precipitation occurs in all samples. Details as to the size and distribution of omega precipitates will be given as well as the correlation between omega precipitation and critical current densities in the superconductor.