This dataset contains the results of a phase field simulation of phase separation and coarsening with constant mobility, isotropic interfacial energy, and 50%-50% volume fractions of the phases. The types of data included are raw simulation output, the radially-averaged structure factor of the phase field, the radially-averaged autocorrelations of the segmented phases and the interfacial mean curvature, interfacial shape distributions (ISDs), and a spreadsheet containing the time evolution of characteristic quantities of the structure. In files that contain data from a single simulation time, this time is indicated in the filename by the iteration number (i.e., the simulation time divided by the time step size, which is 0.05). Additional details regarding the simulation and characterization methods can be found in our paper located at https://doi.org/10.1016/j.commatsci.2019.109418. The authors acknowledge support from the US Department of Energy under Grant No. DE-SC0015394.. The authors acknowledge funding from the US Department of Energy (DE-SC0015394, DE-FG02-99ER45782) and the Natural Sciences and Engineering Research Council of Canada (NSERC PGSD3-516809-2018), and computational resources from NSF XSEDE (OCI-1053575, Allocation: TG-DMR110007), and University of Michigan Advanced Research Computing.