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Hauyne [(Na_{0.5}Ca_{0.3}K_{0.2})₈(Al₆Si₆O₂₄)(SO₄)_{1.5}, S6₉]

Cubic · space group P-43n (No. 218) · Pearson cP76 · Strukturbericht S69 · mineral: hauyne

Symmetry elements and Wyckoff positions (interactive)

Hauyne [(Na_{0.5}Ca_{0.3}K_{0.2})₈(Al₆Si₆O₂₄)(SO₄)_{1.5}, S6₉] in P-43n

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

Unit cell

Lattice constants
a = 9.110 Å, b = 9.110 Å, c = 9.110 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
756.0 ų
Atoms in the conventional cell
76 (Al 6, Si 6, Ca 8, K 8, Na 8, O 32, S 8)
Formula units Z
2
Pearson symbol
cP76 — cubic, primitive lattice, 76 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al6c60.25000.50000.0000
Si8Si6d60.25000.00000.5000
Ca2Ca8e80.20090.20090.2009
K3K8e80.16400.16400.1640
Na4Na8e80.23920.23920.2392
O5O8e80.09950.09950.0995
S7S8e80.96690.96690.9669
O6O24i240.64430.65580.9669

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 76 atoms drawn above are these sites multiplied by all 24 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

A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP76, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (Al: 6c; Si: 6d; Ca: 8e; K: 8e; Na: 8e; O: 8e; S: 8e; O: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: S6₉, Hauyne.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-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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