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We report the results of a multi-waveband analysis of the masses andluminosities of $\sim$600 galaxy groups and clusters identified in the maxBCGcatalogue. These data are intended to form the basis of future work on theformation of the "$m_{12}$ gap" in galaxy groups and clusters. We use SDSSspectroscopy and $g$, $r$ and $i$ band photometry to estimate galaxygroup/cluster virial radii, masses and total luminosities. In order toestablish the robustness of our results, we compare them with literaturestudies that utilize a variety of mass determinations techniques (dynamical,X-ray, weak lensing) and total luminosities estimated in the $B$, $r$, $i$, and$K$ wavebands. We also compare our results to predictions derived from theMillennium Simulation. We find that, once selection effects are properlyaccounted for, excellent agreement exists between our results and theliterature with the exception of a single observational study. We also findthat the Millennium Simulation does an excellent job of predicting the effectsof our selection criteria. Our results show that, over the mass range$\sim10^{13}-10^{15}$ M$_{\odot}$, variations in the slope of themass-luminosity scaling relation with mass detected in this and many otherliterature studies is in part the result of selection effects. We show thatthis can have serious ramifications on attempts to determine how themass-to-light ratio of galaxy groups and cluster varies with mass.

A derivation of masses and total luminosities of galaxy groups and clusters in the maxBCG catalogue