Crystal Lab › Prototype structures › Monoclinic
True Low Nasicon (Na₃Zr₂Si₂PO₁₂)
Monoclinic · space group C12/c1 (No. 15) · Pearson mC92 · mineral: nasicon
Symmetry elements and Wyckoff positions (interactive)
True Low Nasicon (Na₃Zr₂Si₂PO₁₂) in C12/c1
SettingUnit cell
- Lattice constants
- a = 15.669 Å, b = 9.055 Å, c = 12.967 Å; α = 90.00°, β = 143.86°, γ = 90.00°
- Cell volume
- 1085.0 ų
- Atoms in the conventional cell
- 92 (Na 24, P 4, O 48, Si 8, Zr 8)
- Formula units Z
- 4
- Pearson symbol
- mC92 — monoclinic, base-centred lattice, 92 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Na2 | Na | 4e | 4 | 0.0000 | 0.1419 | 0.2500 |
| P11 | P | 4e | 4 | 0.0000 | 0.7943 | 0.2500 |
| Na3 | Na | 8f | 8 | 0.7672 | 0.6721 | 0.1901 |
| Na4 | Na | 8f | 8 | 0.3703 | 0.3908 | 0.9382 |
| O5 | O | 8f | 8 | 0.6752 | 0.6872 | 0.2782 |
| O6 | O | 8f | 8 | 0.1061 | 0.6972 | 0.4202 |
| O7 | O | 8f | 8 | 0.7940 | 0.4327 | 0.2937 |
| O8 | O | 8f | 8 | 0.5159 | 0.8866 | 0.3864 |
| O9 | O | 8f | 8 | 0.2594 | 0.9306 | 0.0594 |
| O10 | O | 8f | 8 | 0.0897 | 0.8974 | 0.2598 |
| Si12 | Si | 8f | 8 | 0.8481 | 0.3602 | 0.2394 |
| Zr13 | Zr | 8f | 8 | 0.2943 | 0.9991 | 0.4435 |
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 92 atoms drawn above are these sites multiplied by all 8 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
A6B12CD2E2_mC92_15_ae2f_6f_e_f_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC92, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Na: 4a; Na: 4e; P: 4e; Na: 8f; Na: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; Si: 8f; Zr: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Low Nasicon.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B12CD2E2_mC92_15_ae2f_6f_e_f_f-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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