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Crystal Lab › Prototype structures › Hexagonal

Hexagonal PuAl₃ Al₃Pu

Hexagonal · space group P63/mmc (No. 194) · Pearson hP24

Symmetry elements and Wyckoff positions (interactive)

Hexagonal PuAl₃ in P63/mmc

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

Unit cell

Lattice constants
a = 6.100 Å, b = 6.100 Å, c = 14.470 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
466.3 ų
Atoms in the conventional cell
24 (Pu 6, Al 18)
Formula units Z
6
Pearson symbol
hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pu3Pu2b20.00000.00000.2500
Pu4Pu4f40.33330.66670.0892
Al1Al6h60.51600.03200.2500
Al2Al12k120.83370.66740.0815

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 24 atoms drawn above are these sites multiplied by all 24 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

A3B_hP24_194_hk_bf-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Pu: 2b; Pu: 4f; Al: 6h; Al: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Hexagonal PuAl₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hP24_194_hk_bf-002 (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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