Crystal Lab › Prototype structures › Hexagonal
Sodium nepheline (Na_{8-x}Al_{8-x}Si_{8+x}O₃₂)
Hexagonal · space group P63 (No. 173) · Pearson hP64 · mineral: nepheline
Symmetry elements and Wyckoff positions (interactive)
Sodium nepheline (Na_{8-x}Al_{8-x}Si_{8+x}O₃₂) in P63
SettingUnit cell
- Lattice constants
- a = 9.958 Å, b = 9.958 Å, c = 8.341 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 716.3 ų
- Atoms in the conventional cell
- 64 (Al 8, Si 8, Na 12, O 36)
- Formula units Z
- 4
- Pearson symbol
- hP64 — hexagonal / trigonal, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2b | 2 | 0.3333 | 0.6667 | 0.6829 |
| Si11 | Si | 2b | 2 | 0.3333 | 0.6667 | 0.2916 |
| Al2 | Al | 6c | 6 | 0.3301 | 0.0933 | 0.6756 |
| Na3 | Na | 6c | 6 | 0.4431 | 0.9978 | 0.9882 |
| Na4 | Na | 6c | 6 | 0.0286 | 0.0380 | 0.4810 |
| O10 | O | 6c | 6 | 0.2668 | 0.2239 | 0.6794 |
| O5 | O | 6c | 6 | 0.7080 | 0.3430 | 0.9829 |
| O6 | O | 6c | 6 | 0.3134 | 0.0242 | 0.4806 |
| O7 | O | 6c | 6 | 0.5222 | 0.1737 | 0.7255 |
| O8 | O | 6c | 6 | 0.5090 | 0.1635 | 0.2424 |
| O9 | O | 6c | 6 | 0.2855 | 0.2282 | 0.3055 |
| Si12 | Si | 6c | 6 | 0.3321 | 0.0935 | 0.3034 |
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 64 atoms drawn above are these sites multiplied by all 6 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
A2B3C9D2_hP64_173_bc_2c_6c_bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP64, then the space-group number 173, then the Wyckoff letters occupied by each element in turn (Al: 2b; Si: 2b; Al: 6c; Na: 6c; Na: 6c; O: 6c; O: 6c; O: 6c; O: 6c; O: 6c; O: 6c; Si: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Nepheline.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C9D2_hP64_173_bc_2c_6c_bc-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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