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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Cl1Cl2a20.00000.00000.0000
Na2Na8h80.13400.21130.0000
O3O8h80.45870.34830.0000
O4O8h80.30660.12060.0000
Si7Si8h80.33880.41040.0000
O5O16i160.05170.35000.2148
O6O16i160.72930.62890.8281
Si8Si16i160.83740.58510.7060

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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