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Crystal Lab › Prototype structures › Orthorhombic

Zektzerite (NaLiZrSi₆O₁₅)

Orthorhombic · space group Cmce (No. 64) · Pearson oC192 · mineral: zektzerite

Symmetry elements and Wyckoff positions (interactive)

Zektzerite (NaLiZrSi₆O₁₅) in Cmce

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

Unit cell

Lattice constants
a = 14.330 Å, b = 17.354 Å, c = 10.164 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2527.6 ų
Atoms in the conventional cell
192 (Li 8, Na 8, Zr 8, O 120, Si 48)
Formula units Z
8
Pearson symbol
oC192 — orthorhombic, base-centred lattice, 192 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li8d80.24710.00000.0000
Na2Na8e80.25000.21650.2500
Zr15Zr8e80.25000.91200.2500
O3O8f80.00000.61000.9987
O4O8f80.00000.55680.3175
O5O8f80.00000.68150.5708
O10O16g160.36060.14020.4159
O11O16g160.32980.17410.6683
O6O16g160.37070.21970.9946
O7O16g160.32800.07850.9211
O8O16g160.36180.11170.1705
O9O16g160.32980.99760.3409
Si12Si16g160.39090.12870.0179
Si13Si16g160.38960.07310.3115
Si14Si16g160.39070.19280.5414

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 192 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

ABC15D6E_oC192_64_d_e_3f6g_3g_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC192, then the space-group number 64, then the Wyckoff letters occupied by each element in turn (Li: 8d; Na: 8e; Zr: 8e; O: 8f; O: 8f; O: 8f; O: 16g; O: 16g; O: 16g; O: 16g; O: 16g; O: 16g; Si: 16g; Si: 16g; Si: 16g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Li₂VSi₆O₁₅, Li₂ZrSi₆O₁₅, Na₂VLi₆O₁₅ <!--beginning with an

Note: Zektzerite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC15D6E_oC192_64_d_e_3f6g_3g_e-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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