While comparing Tourmaline and Dioptase physical properties, the important data you should know is its chemical composition. Since chemical formula defines the molecular structure of the crystal, most of the physical properties like color, tenacity, solubility are governed by Tourmaline and Dioptase chemical formula.
Another important criteria for qualitative analysis of gemstones is Tourmaline and Dioptase Specific gravity. Specific gravity is the relative density of a gemstone compared with respect to density of water. Gemologists use Tourmaline and Dioptase Optical Properties during the identification of gemstone. Specific gravity of Tourmaline is 3.25-3.35 whereas that of Dioptase is 3.25-3.35.