While comparing Dioptase and Carnelian 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 Dioptase and Carnelian chemical formula.
Another important criteria for qualitative analysis of gemstones is Dioptase and Carnelian Specific gravity. Specific gravity is the relative density of a gemstone compared with respect to density of water. Gemologists use Dioptase and Carnelian Optical Properties during the identification of gemstone. Specific gravity of Dioptase is 2.58-2.64 whereas that of Carnelian is 2.58-2.64.