Garnet [S1₄, Co₃Al₂(SiO₄)₃]

Unit cell

Lattice constants

a = 11.460 Å, b = 11.460 Å, c = 11.460 Å; α = 90.00°, β = 90.00°, γ = 90.00°

Cell volume

1504.9 ų

Atoms in the conventional cell

160 (Al 16, Co 24, Si 24, O 96)

Formula units Z

8

Pearson symbol

cI160 — cubic, body-centred lattice, 160 atoms per conventional cell

Symmetry operations

96 per cell

Crystallographic sites

The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 160 atoms drawn above are these sites multiplied by all 96 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.

How to read the label

A2B3C12D3_cI160_230_a_c_h_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI160, then the space-group number 230, then the Wyckoff letters occupied by each element in turn (Al: 16a; Co: 24c; Si: 24d; O: 96h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

(Al, Fe)₂Ca₃(SiO₄)₃ (hibschite), Al₂Ca₃(SiO₄)₃ (grossular), Al₂(Ca, Fe)₃(SiO₄)₃ (almandine), Al₂(Mg, Fe)₃(SiO₄)₃ (pyrope), Al₂(Mg, Ni)₃(SiO₄)₃, Al₂Fe₃(SiO₄)₃, Al₂Mg₃(SiO₄)₃, Al₂Mn₃(SiO₄)₃ (spessartite), Al₅(GdO₄)₃, Al₅(LuO₄)₃, Al₅(YO₄)₃, Al₅(YbO₄)₃, Al_{x}Li_{7-3x}Zr₂O₁₂, Ca₂V₃(SiO₄)₃ (goldmanite), Cr₂Ca₃(SiO₄)₃ (uvarovite), Fe₂Ca₃(SiO₄)₃ (topazolite), Fe₂Mn₃(GeO₄)₃, Fe₂Mn₃(SiO₄)₃ (calderite), Fe₅(LuO₄)₃, Fe₅(PyO₄)₃, Fe₅(SmO₄)₃, Fe₅(TbO₄)₃, Fe₅(YO₄)₃, Fe₅(YbO₄)₃, Ga₅(ErO₄)₃, Ga₅(GdO₄)₃, Ga₅(LuO₄)₃, Ga₅(YO₄)₃, Ga₅(YbO₄)₃, Mn₅(SiO₄)₃, Na₃Ti₂(LiF₄)₃, Na₃V₂(LiF₄)₃, Sc₂Ca₃(SiO₄)₃, Sc₂Yb₃(GaO₄)₃, Si

Note: S1₄, Garnet.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C12D3_cI160_230_a_c_h_d-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.