Crystal Lab › Prototype structures › Triclinic
Na₄SiO₄
Triclinic · space group P-1 (No. 2) · Pearson aP18
Symmetry elements and Wyckoff positions (interactive)
Na₄SiO₄ in P-1
SettingUnit cell
- Lattice constants
- a = 5.576 Å, b = 5.576 Å, c = 8.393 Å; α = 80.92°, β = 71.84°, γ = 67.44°
- Cell volume
- 228.8 ų
- Atoms in the conventional cell
- 18 (Na 8, O 8, Si 2)
- Formula units Z
- 2
- Pearson symbol
- aP18 — triclinic, primitive lattice, 18 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 2i | 2 | 0.4545 | 0.7319 | 0.1113 |
| Na2 | Na | 2i | 2 | 0.7351 | 0.2565 | 0.4803 |
| Na3 | Na | 2i | 2 | 0.9038 | 0.7640 | 0.3318 |
| Na4 | Na | 2i | 2 | 0.9828 | 0.2323 | 0.0617 |
| O5 | O | 2i | 2 | 0.1564 | 0.0428 | 0.3074 |
| O6 | O | 2i | 2 | 0.2093 | 0.4625 | 0.1259 |
| O7 | O | 2i | 2 | 0.3473 | 0.3558 | 0.4116 |
| O8 | O | 2i | 2 | 0.6498 | 0.0443 | 0.1486 |
| Si9 | Si | 2i | 2 | 0.3438 | 0.2252 | 0.2521 |
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 18 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
A4B4C_aP18_2_4i_4i_i-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP18, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Na: 2i; Na: 2i; Na: 2i; Na: 2i; O: 2i; O: 2i; O: 2i; O: 2i; Si: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
K₄O₄Ge, K₄O₄Pb, Ka₄O₄Sn, Na₄O₄Co, Na₄O₄Ge <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B4C_aP18_2_4i_4i_i-002 (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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