Y₃Al₅O₁₂ Garnet (YAG)

Unit cell

Lattice constants

a = 12.034 Å, b = 12.034 Å, c = 12.034 Å; α = 90.00°, β = 90.00°, γ = 90.00°

Cell volume

1742.5 ų

Atoms in the conventional cell

160 (Al 40, Y 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

A5B12C3_cI160_230_ad_h_c-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; Y: 24c; Al: 24d; O: 96h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Er₃Al₅O₁₂, Eu₃Al₅O₁₂, Eu₃Fe₅O₁₂, Gd₃Al₅O₁₂, Gd₃Fe₅O₁₂, Gd₃Ga₅O₁₂, Ho₃Al₅O₁₂, Ho₃Fe₅O₁₂, Ho₃Ga₅O₁₂, Lu₃Al₅O₁₂, Lu₃Fe₅O₁₂, Lu₃Ga₅O₁₂, Nd₃Fe₅O₁₂, Nd₃Ga₅O₁₂, Tb₃Al₅O₁₂, Yb₃Al₅O₁₂ <!--beginning with an

Note: YAG.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B12C3_cI160_230_ad_h_c-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.