What are the six main types of crystalline structures in silicate materials?

The six main types of crystalline structures in silicate materials are framework silicates (e.g., quartz), sheet silicates (e.g., muscovite), chain silicates (e.g., pyroxenes), single tetrahedra (e.g., olivine), double tetrahedra (e.g., garnet), and ring silicates (e.g., beryl).