While comparing Calcite 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 Calcite and Dioptase chemical formula.
Another important criteria for qualitative analysis of gemstones is Calcite and Dioptase Specific gravity. Specific gravity is the relative density of a gemstone compared with respect to density of water. Gemologists use Calcite and Dioptase Optical Properties during the identification of gemstone. Specific gravity of Calcite is 3.25-3.35 whereas that of Dioptase is 3.25-3.35.