The generation of femtosecond X-ray pulses will have important scientific a
pplications by enabling the direct measurement of atomic motion and structu
ral dynamics in condensed matter on the fundamental time scale of a vibrati
onal period. Interaction of femtosecond laser pulses with relativistic elec
tron beams is an effective approach to generating femtosecond pulses of X-r
ays. In this paper we present recent results from proof-of-principle experi
ments in which 300 fs pulses are generated from a synchrotron storage ring
by using an ultrashort optical pulse to create femtosecond time structure o
n the stored electron bunch. A previously demonstrated approach for generat
ing femtosecond X-rays via Thomson scattering between terawatt laser pulses
and relativistic electrons is reviewed and compared with storage-ring base
d schemes.