A sample of classical double radio galaxies has been constructed to st
udy the effect of environment on radio sources. The sample consists of
radio galaxies in cluster and noncluster environments and includes ga
laxies and clusters at both high (z similar to 0.5) and low (z similar
to 0) redshift. Most of these radio galaxies are intermediate-power F
R II sources with 408 MHz powers in the range from 10(32) to 10(35) h(
-2) ergs s(-1) Hz(-1), where the upper bound corresponds roughly to a
178 MHz power of about 10(27) h(-2) W Hz(-1) sr(-1). Comparisons are m
ade between the properties of FR II radio galaxies in cluster and nonc
luster environments, and between X-ray clusters with and without FR II
radio galaxies. The principal results are the following: 1. Most low-
redshift FR II galaxies in clusters appear to be similar to FR II gala
xies in group or held environments in terms of radio power, optical pr
operties of the host galaxy, and nonthermal pressure of the radio brid
ge. 2. High-redshift FR II galaxies are all quite similar and do not a
ppear to vary with galactic environment. The radio powers and emission
-line luminosities of the host galaxies of high-redshift FR II sources
are higher on average than their low-redshift counterparts, but there
is also overlap, and the nonthermal pressures of the radio bridges ap
pear to be independent of redshift. 3. The nonthermal pressures of the
bridges of FR II sources appear to be similar to the thermal pressure
s of the ICM around them. This result, if confirmed by a larger sample
, would allow the bridges of FR II sources to be used as probes of the
ir gaseous environments. 4. The fact that most FR II galaxies have sim
ilar nonthermal pressures, irrespective of galactic environment and re
dshift, indicates that the gaseous environments around them are also s
imilar. Typical nonthermal pressures of these FR II sources are much l
ower than typical thermal pressures of the ICM in X-ray bright cluster
s, suggesting that FR II sources are generally in environments with ga
s pressures much less than typical low-redshift ICM pressures. 5. X-ra
y data at low redshift show that clusters with FR II sources tend to b
e underluminous in the X-ray compared to clusters without FR II source
s. This suggests that the ICM pressures in these clusters are relative
ly low, consistent with the results obtained from the analysis of the
nonthermal pressures of FR II sources. 6. Unfortunately, the X-ray dat
a for high-redshift clusters with FR II sources are inconclusive becau
se of the large number of upper bounds involved and possible AGN contr
ibution to the X-ray luminosity. However, the fact that most high-reds
hift FR II radio galaxies have nonthermal pressures similar to their l
ow-redshift counterparts indicates that the gaseous environments aroun
d them are similar, in which case most high-redshift clusters with FR
II sources should be underluminous X-ray emitters, as are their low-re
dshift counterparts. 7. Thus, the evolution in the clustering strength
around FR II sources toward high-redshift is likely to be closely lin
ked to an evolution of the state of the intracluster medium. Namely, t
here are more clusters of low gas pressure at high redshift, and thus
more FR II sources can appear in these clusters. This is consistent wi
th the negative evolution of the cluster X-ray luminosity function wit
h redshift, and the fact that many high-redshift clusters have much lo
wer X-ray luminosities than optically similar low-redshift clusters.