Measurements of ion energy distribution functions were made at the gro
unded electrode of a parallel plate radiofrequency discharge by means
of a gridded energy analyser in discharges in Ar, He, and O2 at pressu
res of the order of 0.001-0.1 mbar. In this regime the transition from
the collisionless space charge sheath (in front of the electrode) to
a sheath dominated by collisions, mainly charge exchange collisions, a
ppears. Although the Debye length is small compared to the mean free p
ath for charge exchange, for high sheath voltages the sheath thickness
increases and may exceed the mean free path. Measured distributions i
n Ar are compared to energy distribution functions calculated in a sel
f-consistent sheath model, including charge exchange collisions. The a
greement of theory and experiment is very good.