Crystal Lab › Prototype structures › Triclinic
Na₂Cu₃Ge₄O₁₂
Triclinic · space group P-1 (No. 2) · Pearson aP21
Symmetry elements and Wyckoff positions (interactive)
Na₂Cu₃Ge₄O₁₂ in P-1
SettingUnit cell
- Lattice constants
- a = 6.182 Å, b = 7.691 Å, c = 5.472 Å; α = 102.39°, β = 93.07°, γ = 87.58°
- Cell volume
- 253.6 ų
- Atoms in the conventional cell
- 21 (Cu 3, Ge 4, Na 2, O 12)
- Formula units Z
- 1
- Pearson symbol
- aP21 — triclinic, primitive lattice, 21 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Cu2 | Cu | 2i | 2 | 0.1632 | 0.8231 | 0.4873 |
| Ge3 | Ge | 2i | 2 | 0.2209 | 0.3676 | 0.3067 |
| Ge4 | Ge | 2i | 2 | 0.3988 | 0.1828 | 0.7615 |
| Na5 | Na | 2i | 2 | 0.2494 | 0.5955 | 0.9174 |
| O6 | O | 2i | 2 | 0.0053 | 0.2246 | 0.2331 |
| O7 | O | 2i | 2 | 0.4021 | 0.3184 | 0.0644 |
| O8 | O | 2i | 2 | 0.3646 | 0.3493 | 0.5772 |
| O9 | O | 2i | 2 | 0.1749 | 0.0550 | 0.7197 |
| O10 | O | 2i | 2 | 0.6580 | 0.0965 | 0.7305 |
| O11 | O | 2i | 2 | 0.1273 | 0.5843 | 0.2996 |
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 21 atoms drawn above are these sites multiplied by all 2 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
A3B4C2D12_aP21_2_ai_2i_i_6i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP21, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Cu: 1a; Cu: 2i; Ge: 2i; Ge: 2i; Na: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i). 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 A3B4C2D12_aP21_2_ai_2i_i_6i-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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