Chemical composition and crystal systems
A mineral gem has a definite chemical composition, written as a formula, and an ordered internal arrangement of atoms. Corundum is aluminum oxide (Al₂O₃); beryl is a beryllium aluminum silicate (Be₃Al₂Si₆O₁₈); diamond is carbon alone. Varieties of one species differ mainly in trace elements that substitute for the main atoms in the lattice, which is why ruby and sapphire share a single formula.
Crystallographers sort three-dimensional crystal structures into seven crystal systems: triclinic, monoclinic, orthorhombic, tetragonal, trigonal, hexagonal and cubic. Gemology describes them by the relative lengths of imaginary reference axes and the angles between them. The system governs a crystal’s outward shape (octahedra for diamond and spinel, six-sided prisms for beryl) and, more usefully for identification, its optical behavior. Cubic gems are isotropic: light travels through them at the same speed in every direction. Gems in the other six systems are anisotropic and split light into two rays. Composition alone does not fix the structure: diamond and graphite are both pure carbon, arranged differently.
Some gem materials have no long-range atomic order and so no crystal system. Glass, most gem opal and organic amber are amorphous, and like cubic crystals they are optically isotropic.