The Doppler-broadening experienced by photons Compton scattered from b
ound electrons allows the momentum distribution of the target to be pr
obed. The Compton profile so obtained turns out to be sensitive to the
wave-mechanical description of the scatterer and has therefore been e
xploited, for example, to check band theoretical models of solids, to
identify electron correlation effects and most recently to extract Fer
mi surface topography. The technique has suffered from the low photon
energy and lack of monochromaticity of X-ray tube sources and the weak
ness of gamma emitting isotopes. Both these problems have been circumv
ented with the use of synchrotron radiation which has the added benefi
t of allowing spin densities to be studied through the extraction of c
ircularly polarised photons. In this paper the interpretation of Compt
on line-shapes within the Impulse Approximation will be discussed and
illustrated with a selection of recent results. (C) 1997 Elsevier Scie
nce Ltd.