Crystal Lab › Prototype structures › Tetragonal
Marialite Scapolite [Na₄Cl(AlSi₃)₃O₂₄, S6₄]
Tetragonal · space group I4/m (No. 87) · Pearson tI82 · Strukturbericht S64 · mineral: marialite scapolite
Symmetry elements and Wyckoff positions (interactive)
Marialite Scapolite [Na₄Cl(AlSi₃)₃O₂₄, S6₄] in I4/m
SettingUnit cell
- Lattice constants
- a = 12.060 Å, b = 12.060 Å, c = 7.572 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1101.3 ų
- Atoms in the conventional cell
- 82 (Cl 2, Na 8, O 48, Si 24)
- Formula units Z
- 2
- Pearson symbol
- tI82 — tetragonal, body-centred lattice, 82 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cl1 | Cl | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Na2 | Na | 8h | 8 | 0.1340 | 0.2113 | 0.0000 |
| O3 | O | 8h | 8 | 0.4587 | 0.3483 | 0.0000 |
| O4 | O | 8h | 8 | 0.3066 | 0.1206 | 0.0000 |
| Si7 | Si | 8h | 8 | 0.3388 | 0.4104 | 0.0000 |
| O5 | O | 16i | 16 | 0.0517 | 0.3500 | 0.2148 |
| O6 | O | 16i | 16 | 0.7293 | 0.6289 | 0.8281 |
| Si8 | Si | 16i | 16 | 0.8374 | 0.5851 | 0.7060 |
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 82 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
AB4C24D12_tI82_87_a_h_2h2i_hi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI82, then the space-group number 87, then the Wyckoff letters occupied by each element in turn (Cl: 2a; Na: 8h; O: 8h; O: 8h; Si: 8h; O: 16i; O: 16i; Si: 16i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S6₄, Marialite Scapolite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C24D12_tI82_87_a_h_2h2i_hi-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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