Crystal Lab › Prototype structures › Hexagonal
NaTi₂(PS₄)₃
Hexagonal · space group P6cc (No. 184) · Pearson hP188
Symmetry elements and Wyckoff positions (interactive)
NaTi₂(PS₄)₃ in P6cc
SettingUnit cell
- Lattice constants
- a = 19.906 Å, b = 19.906 Å, c = 11.552 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 3964.2 ų
- Atoms in the conventional cell
- 188 (Na 52, Ti 16, P 24, S 96)
- Formula units Z
- 4
- Pearson symbol
- hP188 — hexagonal / trigonal, primitive lattice, 188 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 2a | 2 | 0.0000 | 1.0000 | 0.4100 |
| Na2 | Na | 2a | 2 | 0.0000 | 1.0000 | 0.9570 |
| Ti17 | Ti | 4b | 4 | 0.3333 | 0.6667 | 0.0000 |
| Na3 | Na | 12d | 12 | 0.5500 | 0.0600 | 0.2440 |
| Na4 | Na | 12d | 12 | 0.5130 | 0.0210 | 0.2050 |
| Na5 | Na | 12d | 12 | 0.0830 | 0.0190 | 0.9160 |
| Na6 | Na | 12d | 12 | 0.0880 | 0.0380 | 0.3140 |
| P7 | P | 12d | 12 | 0.6704 | 0.1835 | 0.0098 |
| P8 | P | 12d | 12 | 0.7094 | 0.0112 | 0.7562 |
| S10 | S | 12d | 12 | 0.5977 | 0.0752 | 0.9498 |
| S11 | S | 12d | 12 | 0.7100 | 0.2634 | 0.8797 |
| S12 | S | 12d | 12 | 0.7560 | 0.1727 | 0.0898 |
| S13 | S | 12d | 12 | 0.7892 | 0.1004 | 0.8499 |
| S14 | S | 12d | 12 | 0.6051 | 0.9577 | 0.1514 |
| S15 | S | 12d | 12 | 0.6400 | 0.9341 | 0.8787 |
| S16 | S | 12d | 12 | 0.7877 | 0.0336 | 0.1395 |
| S9 | S | 12d | 12 | 0.6185 | 0.2201 | 0.1237 |
| Ti18 | Ti | 12d | 12 | 0.6993 | 0.0453 | 0.0094 |
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 188 atoms drawn above are these sites multiplied by all 12 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
A13B6C24D4_hP188_184_2a4d_2d_8d_bd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP188, then the space-group number 184, then the Wyckoff letters occupied by each element in turn (Na: 2a; Na: 2a; Ti: 4b; Na: 12d; Na: 12d; Na: 12d; Na: 12d; P: 12d; P: 12d; S: 12d; S: 12d; S: 12d; S: 12d; S: 12d; S: 12d; S: 12d; S: 12d; Ti: 12d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B6C24D4_hP188_184_2a4d_2d_8d_bd-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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