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PdAl

Trigonal · space group R-3 (No. 148) · Pearson hR26

Symmetry elements and Wyckoff positions (interactive)

PdAl in R-3

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

Unit cell

Lattice constants
a = 15.659 Å, b = 15.659 Å, c = 5.251 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1115.1 ų
Atoms in the conventional cell
78 (Al 39, Pd 39)
Formula units Z
39
Pearson symbol
hR26 — hexagonal / trigonal, rhombohedral lattice, 26 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al3a30.00000.00000.0000
Pd4Pd3b30.00000.00000.5000
Al2Al18f180.84670.40130.9993
Al3Al18f180.65330.90370.0037
Pd5Pd18f180.84470.40030.4993
Pd6Pd18f180.65330.90370.5017

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 78 atoms drawn above are these sites multiplied by all 18 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

AB_hR26_148_a2f_b2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR26, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Al: 3a; Pd: 3b; Al: 18f; Al: 18f; Pd: 18f; Pd: 18f). 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 AB_hR26_148_a2f_b2f-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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