Rapid advances in the performance of superconducting cavities have made RF
superconductivity a key technology for accelerators that fulfil a variety o
f physics needs: high-energy particle physics, nuclear physics, neutron spa
llation sources and free-electron lasers. New applications are forthcoming
for frontier high-energy physics accelerators, radioactive beams for nuclea
r astrophysics, next-generation light sources, intense proton accelerators
for neutron and muon sources. There are now nearly one kilometre of superco
nducting cavities installed in accelerators around the world, providing mor
e than 5 GV of acceleration. The most recent installation of 20 m for a fre
e-electron laser realized an average gradient a factor of four higher than
existing applications. improved understanding of the physics of RF supercon
ductivity, together with advances in technology, are responsible for the sp
ectacular increases in performance. RF superconductivity is a mature scienc
e going well beyond technological know-how and trial-and-error approaches t
o genuine understanding of the underlying physics. Research continues to pu
sh performance levels towards the theoretical limit, which is another facto
r of two higher than the levels yet achieved.