Crystal Lab › Prototype structures › Orthorhombic
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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O3 | O | 4c | 4 | 0.2400 | 0.2500 | 0.4700 |
| Ge1 | Ge | 8d | 8 | 0.1550 | 0.6448 | 0.9000 |
| Li2 | Li | 8d | 8 | 0.3560 | 0.5570 | 0.5600 |
| O4 | O | 8d | 8 | 0.3320 | 0.5670 | 0.9640 |
| O5 | O | 8d | 8 | 0.1040 | 0.6335 | 0.5600 |
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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