We present the result of 27 ASCA observations of 26 radio-quiet quasars (RQ
Qs) from the Palomar-Green (PG) survey. The sample is not statistically com
plete, but it is reasonably representative of RQQs in the PG survey. For ma
ny of the sources, the ASCA data are presented here for the first time. All
the RQQs were detected except for two objects, both of which contain broad
absorption lines in the optical band. We find the variability characterist
ics of the sources to be consistent with Seyfert 1 galaxies. A power law of
fers an acceptable description of the time-averaged spectra in the 2-10 keV
(quasar frame) band for all but one data set. The best-fitting values of t
he photon index vary from object to object over the range 1.5 less than or
similar to Gamma(2-10) less than or similar to 3, With a mean (Gamma(2-10))
similar or equal to 2 and dispersion sigma(Gamma(2-10)) similar or equal t
o 0.25. The distribution of Gamma(2-10) is therefore similar to that observ
ed in other RQ active galactic nuclei (AGNs) and seems to be unrelated to X
-ray luminosity. No single model adequately describes the full 0.6-10 keV (
observed frame) continuum of all the RQQs Approximately 50% of the sources
can be adequately described by a single power law or by a power law with on
ly very subtle deviations. All but one of the remaining data sets were foun
d to have convex spectra (flattening as one moves to higher energies). The
exception is PG 1411 + 442, in which a substantial column density (N-H,N-z
similar to 2 x 10(23) cm(-2)) obscures similar to 98% of the continuum. We
find only five (maybe six) of 14 objects with z less than or similar to 0.2
5 to have "soft excesses" at energies less than or similar to 1 keV, but we
find no universal shape for these spectral components. The spectrum of PC
1244+026 contains a rather narrow emission feature centered at an energy si
milar to 1 keV (quasar frame). The detection rate of absorption due to ioni
zed material in these RQQs is lower than that seen in Seyfert I galaxies. I
n part, this may be due to selection effects. However, when detected, the a
bsorbers in the RQQs exhibit a similar range of column density and ionizati
on parameter as Seyfert 1 galaxies. We find evidence of Fe R-shell emission
in at least eight RQQs. These are all low-luminosity objects, and the line
parameters are consistent with those of other low-luminosity RQ AGNs. Howe
ver the construction of the mean data/model ratios far various luminosity r
anges reveals a trend whereby the profile and strength of the Fe K-shell em
ission changes as a function of luminosity.