Crystal Lab › Prototype structures › Cubic
Na₂CaSiO₄ (S6₆)
Cubic · space group P213 (No. 198) · Pearson cP32 · Strukturbericht S66
Symmetry elements and Wyckoff positions (interactive)
Na₂CaSiO₄ (S6₆) in P213
SettingUnit cell
- Lattice constants
- a = 7.480 Å, b = 7.480 Å, c = 7.480 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 418.5 ų
- Atoms in the conventional cell
- 32 (Ca 4, Na 8, O 16, Si 4)
- Formula units Z
- 4
- Pearson symbol
- cP32 — cubic, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 4a | 4 | 0.9930 | 0.9930 | 0.9930 |
| Na2 | Na | 4a | 4 | 0.5000 | 0.5000 | 0.5000 |
| Na3 | Na | 4a | 4 | 0.7500 | 0.7500 | 0.7500 |
| O4 | O | 4a | 4 | 0.1330 | 0.1330 | 0.1330 |
| Si6 | Si | 4a | 4 | 0.2530 | 0.2530 | 0.2530 |
| O5 | O | 12b | 12 | 0.5560 | 0.6670 | 0.2220 |
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 12 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
AB2C4D_cP32_198_a_2a_ab_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP32, then the space-group number 198, then the Wyckoff letters occupied by each element in turn (Ca: 4a; Na: 4a; Na: 4a; O: 4a; Si: 4a; O: 12b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
K₃CrO₄, Li₂SrSi₄ <!--beginning with an
Note: S6₆.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C4D_cP32_198_a_2a_ab_a-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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