Crystal Lab › Prototype structures › Orthorhombic
R₂ Au₃Zn
Orthorhombic · space group Cmce (No. 64) · Pearson oC32
Symmetry elements and Wyckoff positions (interactive)
R₂ Au₃Zn in Cmce
SettingUnit cell
- Lattice constants
- a = 16.650 Å, b = 5.594 Å, c = 5.585 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 520.2 ų
- Atoms in the conventional cell
- 32 (Au 24, Zn 8)
- Formula units Z
- 8
- Pearson symbol
- oC32 — orthorhombic, base-centred lattice, 32 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Au1 | Au | 8d | 8 | 0.8840 | 0.0000 | 0.0000 |
| Zn4 | Zn | 8d | 8 | 0.6360 | 0.0000 | 0.0000 |
| Au2 | Au | 8e | 8 | 0.2500 | 0.7500 | 0.2500 |
| Au3 | Au | 8f | 8 | 0.0000 | 0.1900 | 0.6900 |
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 32 atoms drawn above are these sites multiplied by all 16 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
A3B_oC32_64_def_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC32, then the space-group number 64, then the Wyckoff letters occupied by each element in turn (Au: 8d; Zn: 8d; Au: 8e; Au: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: R₂ Au₃Zn.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_oC32_64_def_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.
← SmSb₂ · Space group Cmce (23 prototypes) · All prototypes · Cs₄Mg₃F₁₀ →