A significant body of data collected in our lab shows that a family of materials, super dielectric materials (SDM), composed of non-conductive matrices (e.g. high surface area alumina), saturated with aqueous salt solutions, will have dielectric constants greater than 10^9 at frequencies below ~1 Hz. Previously, the highest measured dielectric values were in the 10^4 range. Energy densities better than 400 J/cm3 were recorded in our lab using a form of SDM, anodized titania films saturated with aqueous NaCl. All data are consistent with a simple model: Ions in solution react to an applied field by forming dipoles that oppose and largely cancel the applied field, thus increasing capacitance. The potential energy storage/power delivery applications of SDM are significant.