We report the detection of X-ray emission from the host cluster of the
unusual radio-quiet quasar H 1821+643 using the ROSAT HRI, and the no
n-detection of X-ray emission from the host cluster of the radio-loud
quasar 3C 206 (3 sigma upper limit of 1.63x10(44) ergs s(-1)) using th
e EINSTEIN HRI. The host cluster of H 1821+643 is one of the most X-ra
y luminous clusters known, with a rest-frame 0.1-2.4 keV luminosity of
3.74+/-0.57h(50)(-2)X10(45) ergs s(-1), 38% of which is from a barely
resolved cooling flow component. The cluster emission complicates int
erpretation of previous X-ray spectra of this field. In particular, th
e observed Fe K alpha emission can probably be attributed entirely to
the cluster and either the quasar is relatively X-ray quiet for its op
tical luminosity or the cluster has a relatively low temperature for i
ts luminosity. We combine these data with the recent detection of X-ra
y emission from the host cluster of the ''buried'' radio-quiet quasar
IRAS 09104+4109 [Fabian & Crawford, MNRAS, 274, L63 (1995)], our previ
ous upper limits for the host clusters of two z similar to 0.7 radio-l
oud quasars, and literature data on FR II radio galaxies. We compare t
his dataset to the predictions of three models for the presence and ev
olution of powerful AGN in clusters: the low-velocity-dispersion model
, the low-ICM-density model, and the cooling flow model. Neither the l
ow-ICM-density model nor the cooling flow model can explain all the ob
servations. We suggest that strong interactions with gas-containing ga
laxies mag. be the only mechanism needed to explain the presence and e
volution of powerful AGN in clusters, a scenario consistent with the f
ar-IR and optical properties of the host galaxies studied here, all of
which show some evidence for past interactions. However, the cooling
flow model cannot be ruled out for at least some objects, and it is li
kely that both processes are at work in creating and fueling powerful
AGN in clusters. Each scenario makes testable predictions for future X
-ray and optical observations which can test the relative importance o
f each process. (C) 1997 American Astronomical Society.