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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 8d | 8 | 0.2471 | 0.0000 | 0.0000 |
| Na2 | Na | 8e | 8 | 0.2500 | 0.2165 | 0.2500 |
| Zr15 | Zr | 8e | 8 | 0.2500 | 0.9120 | 0.2500 |
| O3 | O | 8f | 8 | 0.0000 | 0.6100 | 0.9987 |
| O4 | O | 8f | 8 | 0.0000 | 0.5568 | 0.3175 |
| O5 | O | 8f | 8 | 0.0000 | 0.6815 | 0.5708 |
| O10 | O | 16g | 16 | 0.3606 | 0.1402 | 0.4159 |
| O11 | O | 16g | 16 | 0.3298 | 0.1741 | 0.6683 |
| O6 | O | 16g | 16 | 0.3707 | 0.2197 | 0.9946 |
| O7 | O | 16g | 16 | 0.3280 | 0.0785 | 0.9211 |
| O8 | O | 16g | 16 | 0.3618 | 0.1117 | 0.1705 |
| O9 | O | 16g | 16 | 0.3298 | 0.9976 | 0.3409 |
| Si12 | Si | 16g | 16 | 0.3909 | 0.1287 | 0.0179 |
| Si13 | Si | 16g | 16 | 0.3896 | 0.0731 | 0.3115 |
| Si14 | Si | 16g | 16 | 0.3907 | 0.1928 | 0.5414 |
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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