Cl 1358+62:: Characterizing the physical properties of cluster galaxies at z=0.33

We examine the physical properties of 173 cluster members in Cl 1358+62 (z = 0.3283) from Hubble Space Telescope Wide Field Planetary Camera 2 imaging taken in the F606W (similar torest-frame B) and F814W (similar torest-frame V) filters over a 2.2 x 2.2 Mpc(2) field (H-0 = 100 km s(-1) Mpc(-1), Omega(M) = 0.3, Omega(Lambda) = 0.7). Structural parameters are measured for each galaxy by fitting a PSF-convolved, two-component model to their two-dimensional surface brightness distribution. We examine bulge+disk models using three different bulge profiles (de Vaucouleurs, Sersic, and exponential) and rigorously test the robustness of our results by analyzing several thousand artificial galaxies in the same manner as the cluster data. The measured physical properties from the best-fit profile of the cluster galaxies are combined with ground-based spectroscopy to test for correlations between morphological characteristics, current star formation, total galaxy colors, and cluster substructure. We find the following: (1) The bulge-to-total ratio [(B/T)(deV)] and Hubble type (-5 less than or equal to T less than or equal to 8) are strongly correlated (99% confidence), but the scatter is large, and early-type spirals are not reliably distinguished from ellipticals and S0' s based on (B/T)(deV). (2) From comparison of their physical properties, the low-luminosity (-17.3 greater than or equal to B-z,B-e - 5 log h greater than or equal to -19.3) ellipticals in our sample are likely to be face-on S0 galaxies. (3) High galaxy asymmetry and strong [O II] lambda3727 emission are strongly correlated for disk-dominated members [(B/T)(deV) < 0.4]. (4) There exists a small population (similar to 5%) of bulge-dominated members whose significant [O II] lambda 3727 emission (<-5 Angstrom) suggests that they harbor active galactic nuclei. (5) At these redshifts, determining the correct Sersic index n can be highly unreliable.