Skip to content

Crystal Lab › Prototype structures › Cubic

PrRu₄P₁₂

Cubic · space group P23 (No. 195) · Pearson cP34

Symmetry elements and Wyckoff positions (interactive)

PrRu₄P₁₂ in P23

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

Unit cell

Lattice constants
a = 8.036 Å, b = 8.036 Å, c = 8.036 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
518.9 ų
Atoms in the conventional cell
34 (Pr 2, Ru 8, P 24)
Formula units Z
2
Pearson symbol
cP34 — cubic, primitive lattice, 34 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pr1Pr1a10.00000.00000.0000
Pr2Pr1b10.50000.50000.5000
Ru3Ru4e40.25070.25070.2507
Ru4Ru4e40.74930.74930.7493
P5P12j120.00000.35780.1442
P6P12j120.49980.85830.6429

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 34 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

A12BC4_cP34_195_2j_ab_2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP34, then the space-group number 195, then the Wyckoff letters occupied by each element in turn (Pr: 1a; Pr: 1b; Ru: 4e; Ru: 4e; P: 12j; P: 12j). 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 A12BC4_cP34_195_2j_ab_2e-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.

 ·  Space group P23 (2 prototypes)  ·  All prototypes  ·  Cd₈As₇Cl →