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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Na1Na2a20.00001.00000.4100
Na2Na2a20.00001.00000.9570
Ti17Ti4b40.33330.66670.0000
Na3Na12d120.55000.06000.2440
Na4Na12d120.51300.02100.2050
Na5Na12d120.08300.01900.9160
Na6Na12d120.08800.03800.3140
P7P12d120.67040.18350.0098
P8P12d120.70940.01120.7562
S10S12d120.59770.07520.9498
S11S12d120.71000.26340.8797
S12S12d120.75600.17270.0898
S13S12d120.78920.10040.8499
S14S12d120.60510.95770.1514
S15S12d120.64000.93410.8787
S16S12d120.78770.03360.1395
S9S12d120.61850.22010.1237
Ti18Ti12d120.69930.04530.0094

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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