  We are carrying out sensitive X-ray observations with Chandra and XMM of type
II quasars selected from the Sloan Digital Sky Survey based on their optical
emission line properties. We present observations of four objects at redshifts
0.4 < z < 0.8 and an analysis of the archival data for four additional objects
in the same redshift range. Six of the eight were detected in X-rays; five of
them have sufficient signal to derive spectral information. All of the detected
sources have intrinsic luminosities L(2-10 keV) > 5 x 10^43 erg s^-1. The five
with sufficient counts for spectral fitting show evidence for significant
absorption (N_H >~ a few x 10^22 cm^-2). At least three of the objects likely
have N_H > 10^23 cm^-2; some may be Compton-thick (N_H > 10^{24} cm^-2). In the
five objects for which we could fit spectra, the slopes tend to be
significantly flatter than is typically observed in AGN; it is possible that
this is due either to reprocessing of the nuclear emission or to a line of
sight that passes through patchy absorption.
