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Crystal Lab › Prototype structures › Trigonal

Pd₁₅P₂

Trigonal · space group R-3 (No. 148) · Pearson hR17

Symmetry elements and Wyckoff positions (interactive)

Pd₁₅P₂ in R-3

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

Unit cell

Lattice constants
a = 7.107 Å, b = 7.107 Å, c = 17.087 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
747.4 ų
Atoms in the conventional cell
51 (Pd 45, P 6)
Formula units Z
3
Pearson symbol
hR17 — hexagonal / trigonal, rhombohedral lattice, 17 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pd2Pd3a30.00000.00000.0000
P1P6c60.00000.00000.7855
Pd3Pd6c60.00000.00000.5794
Pd4Pd18f180.71560.59950.4634
Pd5Pd18f180.76190.74190.2954

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 51 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

A2B15_hR17_148_c_ac2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR17, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Pd: 3a; P: 6c; Pd: 6c; 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 A2B15_hR17_148_c_ac2f-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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