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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al2b20.33330.66670.6829
Si11Si2b20.33330.66670.2916
Al2Al6c60.33010.09330.6756
Na3Na6c60.44310.99780.9882
Na4Na6c60.02860.03800.4810
O10O6c60.26680.22390.6794
O5O6c60.70800.34300.9829
O6O6c60.31340.02420.4806
O7O6c60.52220.17370.7255
O8O6c60.50900.16350.2424
O9O6c60.28550.22820.3055
Si12Si6c60.33210.09350.3034

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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