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Li₂(Si{0.25}Ge_{0.75})₂O₅

Orthorhombic · space group Aem2 (No. 39) · Pearson oC36

Symmetry elements and Wyckoff positions (interactive)

Li₂(Si{0.25}Ge_{0.75})₂O₅ in Aem2

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 5.990 Å, b = 15.050 Å, c = 4.940 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
445.3 ų
Atoms in the conventional cell
36 (O 20, Ge 8, Li 8)
Formula units Z
4
Pearson symbol
oC36 — orthorhombic, base-centred lattice, 36 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O3O4c40.24000.25000.4700
Ge1Ge8d80.15500.64480.9000
Li2Li8d80.35600.55700.5600
O4O8d80.33200.56700.9640
O5O8d80.10400.63350.5600

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 36 atoms drawn above are these sites multiplied by all 8 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

A2B2C5_oC36_39_d_d_c2d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC36, then the space-group number 39, then the Wyckoff letters occupied by each element in turn (O: 4c; Ge: 8d; Li: 8d; O: 8d; O: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2C5_oC36_39_d_d_c2d-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.

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