Skip to content

Crystal Lab › Prototype structures › Hexagonal

CsCrF₄

Hexagonal · space group P-62m (No. 189) · Pearson hP18

Symmetry elements and Wyckoff positions (interactive)

CsCrF₄ in P-62m

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

Unit cell

Lattice constants
a = 9.650 Å, b = 9.650 Å, c = 3.857 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
311.1 ų
Atoms in the conventional cell
18 (Cr 3, F 12, Cs 3)
Formula units Z
3
Pearson symbol
hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cr1Cr3f30.22380.00000.0000
F3F3f30.83490.00000.0000
Cs2Cs3g30.57240.00000.5000
F4F3g30.22010.00000.5000
F5F6j60.43650.15970.0000

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 18 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

ABC4_hP18_189_f_g_fgj-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (Cr: 3f; F: 3f; Cs: 3g; F: 3g; F: 6j). 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 ABC4_hP18_189_f_g_fgj-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.

← π-FeMg₃Al₉Si₅ — Al₉FeMg₃Si₅  ·  Space group P-62m (12 prototypes)  ·  All prototypes  ·  ZrNiAl →