Molecular modeling has been used by several groups, including ours, to better understand the nature of nanostructured channels, and to enable improved design. For example, we have used molecular simulation to understand the chemical details of hexagonal phase LLC pores, as well as the molecular details of transport in these pores. However, hexagonal pores are difficult to align properly with the hydrophilic channels in the direction of transport during experimental formulation, and therefore the experimental focus has most recently been on the channels in Q structures. Thus, this paper extends our molecular modeling efforts on hexagonal phase LLC membranes to Q phase LLC membranes.