An investigation of cooling flows and general cluster properties from an X-ray image deprojection analysis of 207 clusters of galaxies

We present an X-ray image deprojection analysis of Einstein Observatory imaging data on 207, clusters of galaxies. The resulting radial profiles for luminosity, temperature, and electron density variations are determined from the cluster surface-brightness profiles according to gravitational potential constraints from average Tx and Vopt observations. This enables us to determine cooling-flow and other cluster properties, such as baryon fractions, S-Z microwave decrements, and Thomson depths. We have compiled a catalogue of the detected cooling flows, and investigated their effects on general cluster properties. Self-consistent correlations between the cluster X-ray luminosity, temperature, and optical velocity-dispersion, are determined accounting for errors in both dimensions of the data. These fits indicate that the temperatures of clusters are isothermal and that they have spectral beta-values consistent with unity. We find that the X-ray Lx, Tx, and optical Vopt relations depend significantly on the cooling flow mass-deposition rate, through differences in the density profiles. Clusters of similar mass-deposition rate exhibit self-similar density profiles, with larger cooling flows showing higher central densities. This leads to scatter in the Lx related correlations within the Lx, Tx and Vopt plane. The segregation in density leads to dispersion in `half-light radii' and baryon fractions. The baryon fraction in the cores of cooling flow clusters appears to be higher, but all clusters appear to rise to a concordant value of greater than 10 percent at 1 Mpc. Thus, clusters are inconsistent with primordial nucleosynthesis baryon fraction, for a flat Universe, of 6 percent.