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Cyclosilicate

SiO4 tetrahedrons share two oxgens at corners each other and form cirlces

Single ring: [(SiO3)3], [(SiO3)4], [(SiO3)6], [(SiO3)8], [(SiO3)12]

Double ring: [(Si2O5)6]

Single ring: [Si3O9]
[A(2+)][B][Si3O9] [Hexagonal P(-6)c2] Benitoite group
Benitoite
Single ring: [Si6O18]
[A3][B(3+)2][Si6O18] [Hexagonal P6/mmc]
Beryl
Bazzite
Double ring: [Si12O30]
[A(+)2][B(2+)2][C(3+)3][Si12O30] [Hexagonal P6/mcc]
Roedderite
[A(+)][B(+)2][C(+)3][D(3+)2][Si12O30] [Hexagonal P6/mcc]
Aluminosugilite
Sugilite
[A(+)][][B(+)3][D(4+)2][Si12O30] [Hexagonal P6/mmm]
Sogdianite
Hydrate-Cyclosilicate (Double ring)
[A(+)][B(2+)2][C3][Si12O30],H2O [Hexagonal P6/mcc]
Milarite
Hydroxide-Cyclosilicate (Single ring)
[A(+)][B(2+)7][C2][D(+)3][(OH)2|Si12O36] [Monoclinic C2/c]
Baratovite
Chloride-Oxide-Cyclosilicate (Single ring)
[A(+)15][B(2+)6][C(2+)3][D(4+)][E(4+)][F(4+)3][Cl|O4|(SiO3)2|(Si9O27)2] [Trigonal R(-3)m]
Eudialyte
Hydrate-Hydroxide-Oxide-Cyclosilicate (Single ring)
[A(+)][B(2+)2][C(2+)2][D(2+)][E2][OH|O|Si8O24],H2O [Orthorhombic Ccm2]
Strontio-orthojoaquinite
[A(+)][B(2+)2][C(2+)2][D(2+)][E2][OH|O|Si8O24],H2O [Monoclinic C2/m]
Strontiojoaquinite
Hydrate-Carbonate-Cyclosilicate (Single ring)
[A(2+)7][CO3|(Si3O9)2],2H2O [Monoclinic C2/m]
Scawtite
[A(2+)2][B(2+)2][CO3|Si4O12],H2O [Orthorhombic Pmnb]
Kainosite-(Y)
Hydroxide-Borate-Cyclosilicate (Single ring)
[A(+)][B(2+)3][C(3+)6][(OH)3|W|(BO3)3|Si6O18] [Trigonal R3m] Tourmaline supergroup
Dravite
Elbaite
Feruvite
Uvite
Foitite
Magnesiofoitite
Rossmanite
Schorl
Tsilaisite
Oxy-foitite
Hydroxide-Oxide-Nesoborate-Cyclosilicate (Single ring)
[A(+)][B(2+)3][C(3+)6][O3|OH|(BO3)3|Si6O18] [Trigonal R3m]
Olenite
Hydroxide-Fluoride-Nesoborate-Cyclosilicate (Single ring)
[A(+)][B(2+)3][C(3+)6][(OH)3|F|(BO3)3|Si6O18] [Trigonal R3m]
Fluor-elbaite
Fluor-schorl
Fluor-dravite
Fluor-uvite
Hydroxide-Sorosilicate-Cyclosilicate (Single ring)
[A(+)][B(2+)3][C(2+)4][(OH)3|Si2O7|Si4O12] [Orthorhombic Pnma]
Strakhovite
Hydroxide-Chloride-Oxide-Sorosilicate-Cyclosilicate (Single ring)
[A(2+)4][B(3+)4][(OH)4|Cl2|O2|Si2O3(OH)4|Si4O12] [Tetragonal I4/mmm]
Cerchiaraite-(Mn)