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We present results from {\em Chandra}/ACIS-S, {\em Spitzer}, {\emXMM-Newton}, {\em HST}, and VLA observations of the radio hot spots, extendedenvironment, and nucleus of the nearby ($z$=0.0597) FR II radio galaxy 3C 33.This is a relatively low-power FR II radio galaxy, and so we expect, {\it apriori}, to detect a significant X-ray synchrotron component to the emissionfrom the hot spots. We detect X-ray emission coincident with the two knots ofpolarized optical emission from the southern hot spot (SHS), as well as alongthe northwest arm of this hot spot. We also detect X-ray emission from twocompact regions of the northern hot spot (NHS), as well as diffuse emissionbehind the radio peak. The X-ray flux density of the region at the tip of thesouthern hot spot, the most compact radio feature of the southern lobe, isconsistent with the synchrotron self-Compton (SSC) process. The X-ray fluxdensities of the other three regions of the SHS and the two compact regions ofthe NHS are an order of magnitude or more above the predictions from either theSSC and inverse-Compton scattering of the CMB (IC/CMB) mechanisms, thusstrongly disfavoring these scenarios unless they are far from equipartition($B$ $\sim$4-14 times smaller than the equipartition values). The X-ray fluxfrom the diffuse region behind the NHS is consistent with the IC/CMB predictionassuming a small departure from equipartition. We conclude that the X-rayemission is synchrotron emission from multiple populations of ultrarelativisticelectrons unless these regions are far from equipartition. There must thereforebe unresolved substructure within each knot, similar to that which is found inChandra observations of nearby FR I jets such as Centaurus A and 3C 66B.Comment: Accepted for publication in the Astrophysical Journal - 43 pages, 14  figures, 6 table

A Radio through X‐Ray Study of the Hot Spots, Active Nucleus, and Environment of the Nearby FR II Radio Galaxy 3C 33